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RustKernels

GPU-accelerated kernel library for financial services and analytics


Overview

RustKernels provides 106 GPU-accelerated algorithms across 14 domain-specific crates, designed for financial services, compliance, and enterprise analytics. Ported from the DotCompute C# implementation to Rust, using the RingKernel framework.

This is a specialized compute library for financial and enterprise workloads, not a general-purpose GPU compute framework.

Key Features

FeatureDescription
14 Domain CategoriesGraph analytics, ML, compliance, risk, treasury, and more
106 KernelsComprehensive coverage of financial algorithms
Dual Execution ModesBatch (CPU-orchestrated) and Ring (GPU-persistent)
Enterprise ReadyApache-2.0 license, domain-based feature gating
K2K MessagingCross-kernel coordination patterns
Fixed-Point ArithmeticExact financial calculations

Execution Modes

Kernels operate in one of two modes:

ModeLatencyOverheadState LocationBest For
Batch10-50μsHigherCPU memoryHeavy periodic computation
Ring100-500nsMinimalGPU memoryHigh-frequency streaming

Most kernels support both modes. Choose based on your latency requirements.

Domains at a Glance

DomainCrateKernelsDescription
Graph Analyticsrustkernel-graph28PageRank, community detection, GNN inference, graph attention
Statistical MLrustkernel-ml17Clustering, NLP embeddings, federated learning, healthcare analytics
Compliancerustkernel-compliance11AML patterns, KYC, sanctions screening
Temporal Analysisrustkernel-temporal7Forecasting, anomaly detection, decomposition
Risk Analyticsrustkernel-risk5Credit scoring, VaR, stress testing, correlation
Bankingrustkernel-banking1Fraud pattern matching
Behavioral Analyticsrustkernel-behavioral6Profiling, forensics, event correlation
Order Matchingrustkernel-orderbook1Order book matching engine
Process Intelligencerustkernel-procint7DFG, conformance, digital twin simulation
Clearingrustkernel-clearing5Netting, settlement, DVP matching
Treasuryrustkernel-treasury5Cash flow, FX hedging, liquidity
Accountingrustkernel-accounting9Network generation, reconciliation
Paymentsrustkernel-payments2Payment processing, flow analysis
Auditrustkernel-audit2Feature extraction, hypergraph construction

Quick Start

Add to your Cargo.toml:

[dependencies]
rustkernel = "0.1.0"

Basic usage:

use rustkernel::prelude::*;
use rustkernel::graph::centrality::PageRank;

// Create a kernel instance
let kernel = PageRank::new();

// Access kernel metadata
let metadata = kernel.metadata();
println!("Kernel: {}", metadata.id);
println!("Domain: {:?}", metadata.domain);

// Execute (batch mode)
let result = kernel.execute(input).await?;

Feature Flags

Control which domains are compiled:

# Only what you need
rustkernel = { version = "0.1.0", features = ["graph", "risk"] }

# Everything
rustkernel = { version = "0.1.0", features = ["full"] }

Default features: graph, ml, compliance, temporal, risk.

Requirements

  • Rust 1.85 or later
  • RustCompute (RingKernel framework)
  • CUDA toolkit (optional, falls back to CPU execution)

Project Structure

crates/
├── rustkernel/           # Facade crate, re-exports all domains
├── rustkernel-core/      # Core traits, registry, licensing
├── rustkernel-derive/    # Procedural macros
├── rustkernel-cli/       # Command-line interface
└── rustkernel-{domain}/  # 14 domain-specific crates

Building

# Build entire workspace
cargo build --workspace

# Run all tests
cargo test --workspace

# Test single domain
cargo test --package rustkernel-graph

# Generate API documentation
cargo doc --workspace --no-deps --open

License

Licensed under Apache-2.0. See LICENSE for details.


Installation

This guide covers installing RustKernels and its dependencies.

Prerequisites

Rust Toolchain

RustKernels requires Rust 1.85 or later:

# Install Rust via rustup
curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh

# Update to latest stable
rustup update stable

# Verify version
rustc --version  # Should be 1.85.0 or higher

RustCompute Framework

RustKernels depends on the RustCompute (RingKernel) framework for GPU execution:

# Clone RustCompute alongside RustKernels
cd /path/to/your/projects
git clone https://github.com/mivertowski/RustCompute.git

# Directory structure should be:
# projects/
# ├── RustCompute/
# │   └── RustCompute/
# └── RustKernels/
#     └── RustKernels/

CUDA Toolkit (Optional)

For GPU acceleration, install the CUDA toolkit:

  • Linux: Install via your package manager or from NVIDIA’s website
  • Windows: Download installer from NVIDIA
  • macOS: Not supported for CUDA (CPU fallback only)
# Verify CUDA installation
nvcc --version
nvidia-smi

If CUDA is not available, RustKernels falls back to CPU execution automatically.

Adding RustKernels to Your Project

Basic Installation

Add to your Cargo.toml:

[dependencies]
rustkernel = "0.1.0"

This includes the default feature set: graph, ml, compliance, temporal, risk.

Selective Installation

Only include the domains you need to reduce compile time and binary size:

[dependencies]
rustkernel = { version = "0.1.0", default-features = false, features = ["graph", "accounting"] }

Full Installation

Include all 14 domains:

[dependencies]
rustkernel = { version = "0.1.0", features = ["full"] }

Available Features

FeatureDomainDescription
graphGraph AnalyticsCentrality, community detection, similarity
mlStatistical MLClustering, anomaly detection, regression
complianceComplianceAML, KYC, sanctions screening
temporalTemporal AnalysisForecasting, anomaly detection
riskRisk AnalyticsCredit scoring, VaR, stress testing
bankingBankingFraud pattern detection
behavioralBehavioralProfiling, forensics
orderbookOrder MatchingOrder book engine
procintProcess IntelligenceDFG, conformance checking
clearingClearingNetting, settlement
treasuryTreasuryCash flow, FX hedging
accountingAccountingNetwork generation, reconciliation
paymentsPaymentsPayment processing
auditAuditFeature extraction
fullAllEnables all domains

Building from Source

Clone and build the entire workspace:

# Clone the repository
git clone https://github.com/mivertowski/RustKernels.git
cd RustKernels

# Build all crates
cargo build --workspace

# Build in release mode
cargo build --workspace --release

# Run tests
cargo test --workspace

Verifying Installation

Create a simple test file:

// src/main.rs
use rustkernel::prelude::*;

fn main() {
    println!("RustKernels installed successfully!");

    // List available domains
    let domains = [
        "Graph Analytics",
        "Statistical ML",
        "Compliance",
        "Temporal Analysis",
        "Risk Analytics",
    ];

    for domain in domains {
        println!("  - {}", domain);
    }
}

Run with:

cargo run

Troubleshooting

RustCompute Not Found

If you see path errors related to RustCompute:

  1. Ensure RustCompute is cloned at the expected location
  2. Check that the directory structure matches what’s expected in Cargo.toml
  3. Verify the RustCompute workspace builds independently

CUDA Not Detected

If GPU execution isn’t working:

  1. Verify CUDA installation with nvcc --version
  2. Check GPU availability with nvidia-smi
  3. Ensure CUDA libraries are in your PATH
  4. RustKernels will fall back to CPU if CUDA isn’t available

Compilation Errors

For Rust version issues:

# Ensure you're on the correct toolchain
rustup override set stable
rustup update

Next Steps

Quick Start

Get up and running with RustKernels in 5 minutes.

Your First Kernel

Let’s run a PageRank calculation on a simple graph.

Step 1: Create a New Project

cargo new my-analytics
cd my-analytics

Step 2: Add Dependencies

Edit Cargo.toml:

[package]
name = "my-analytics"
version = "0.1.0"
edition = "2024"

[dependencies]
rustkernel = { version = "0.1.0", features = ["graph"] }
tokio = { version = "1.0", features = ["full"] }

Step 3: Write Your Code

Edit src/main.rs:

use rustkernel::prelude::*;
use rustkernel::graph::centrality::{PageRank, PageRankInput};

#[tokio::main]
async fn main() -> Result<(), Box<dyn std::error::Error>> {
    // Create a PageRank kernel
    let kernel = PageRank::new();

    // Print kernel metadata
    let metadata = kernel.metadata();
    println!("Kernel: {}", metadata.id);
    println!("Domain: {:?}", metadata.domain);
    println!("Mode: {:?}", metadata.mode);

    // Prepare input: a simple 4-node graph
    // Node 0 -> Node 1, Node 2
    // Node 1 -> Node 2
    // Node 2 -> Node 0, Node 3
    // Node 3 -> Node 0
    let input = PageRankInput {
        num_nodes: 4,
        edges: vec![
            (0, 1), (0, 2),
            (1, 2),
            (2, 0), (2, 3),
            (3, 0),
        ],
        damping_factor: 0.85,
        max_iterations: 100,
        tolerance: 1e-6,
    };

    // Execute the kernel
    let result = kernel.execute(input).await?;

    // Print results
    println!("\nPageRank Scores:");
    for (node, score) in result.scores.iter().enumerate() {
        println!("  Node {}: {:.4}", node, score);
    }
    println!("\nConverged in {} iterations", result.iterations);

    Ok(())
}

Step 4: Run

cargo run

Expected output:

Kernel: graph/pagerank
Domain: GraphAnalytics
Mode: Batch

PageRank Scores:
  Node 0: 0.3682
  Node 1: 0.1418
  Node 2: 0.2879
  Node 3: 0.2021

Converged in 23 iterations

Using Multiple Kernels

Combine kernels from different domains:

use rustkernel::prelude::*;
use rustkernel::graph::centrality::PageRank;
use rustkernel::graph::community::LouvainCommunity;
use rustkernel::graph::metrics::GraphDensity;

#[tokio::main]
async fn main() -> Result<(), Box<dyn std::error::Error>> {
    // Analyze the same graph with multiple kernels
    let edges = vec![
        (0, 1), (0, 2), (1, 2),
        (2, 3), (3, 4), (4, 2),
    ];

    // Centrality analysis
    let pagerank = PageRank::new();
    let pr_result = pagerank.execute(PageRankInput {
        num_nodes: 5,
        edges: edges.clone(),
        damping_factor: 0.85,
        max_iterations: 100,
        tolerance: 1e-6,
    }).await?;

    // Community detection
    let louvain = LouvainCommunity::new();
    let community_result = louvain.execute(LouvainInput {
        num_nodes: 5,
        edges: edges.clone(),
        resolution: 1.0,
    }).await?;

    // Graph metrics
    let density = GraphDensity::new();
    let density_result = density.execute(DensityInput {
        num_nodes: 5,
        num_edges: edges.len(),
    }).await?;

    println!("Analysis complete:");
    println!("  Communities found: {}", community_result.num_communities);
    println!("  Graph density: {:.4}", density_result.density);
    println!("  Most central node: {}", pr_result.top_node());

    Ok(())
}

Kernel Configuration

Most kernels accept configuration options:

use rustkernel::ml::clustering::{KMeans, KMeansConfig};

let config = KMeansConfig {
    num_clusters: 5,
    max_iterations: 300,
    tolerance: 1e-4,
    initialization: KMeansInit::KMeansPlusPlus,
    ..Default::default()
};

let kernel = KMeans::with_config(config);

Batch vs Ring Mode

Batch Mode (Default)

CPU-orchestrated execution. Best for periodic computations:

// Batch kernels implement BatchKernel trait
let kernel = PageRank::new();
let result = kernel.execute(input).await?;

Ring Mode

GPU-persistent actors for streaming workloads:

// Ring kernels implement RingKernelHandler trait
use rustkernel::graph::centrality::PageRankRing;

// Ring kernels maintain persistent GPU state
let ring = PageRankRing::new();

// Send streaming updates
ring.add_edge(0, 1).await?;
ring.add_edge(1, 2).await?;

// Query current state
let scores = ring.query_scores().await?;

See Execution Modes for detailed comparison.

Error Handling

RustKernels uses standard Rust error handling:

use rustkernel::prelude::*;
use rustkernel::error::KernelError;

match kernel.execute(input).await {
    Ok(result) => println!("Success: {:?}", result),
    Err(KernelError::InvalidInput(msg)) => {
        eprintln!("Invalid input: {}", msg);
    }
    Err(KernelError::ExecutionFailed(msg)) => {
        eprintln!("Execution failed: {}", msg);
    }
    Err(e) => eprintln!("Error: {}", e),
}

Next Steps

Architecture Overview

RustKernels is designed as a modular, high-performance GPU kernel library for financial and enterprise workloads. This document explains the system architecture and key design decisions.

System Design

┌─────────────────────────────────────────────────────────────────┐
│                        rustkernel (facade)                       │
│                    Re-exports all domain crates                  │
└─────────────────────────────────────────────────────────────────┘
                                  │
          ┌───────────────────────┼───────────────────────┐
          │                       │                       │
          ▼                       ▼                       ▼
┌─────────────────┐   ┌─────────────────┐   ┌─────────────────┐
│ rustkernel-core │   │rustkernel-derive│   │  rustkernel-cli │
│                 │   │                 │   │                 │
│ - Traits        │   │ - #[gpu_kernel] │   │ - CLI tool      │
│ - Registry      │   │ - #[derive(...)]│   │ - Management    │
│ - K2K messaging │   │                 │   │                 │
│ - Licensing     │   │                 │   │                 │
└─────────────────┘   └─────────────────┘   └─────────────────┘
          │
          ▼
┌─────────────────────────────────────────────────────────────────┐
│                     14 Domain Crates                             │
│                                                                  │
│  graph  │  ml  │ compliance │ temporal │ risk │ banking │ ...   │
│                                                                  │
│  Each domain implements domain-specific kernels using the core   │
│  traits and infrastructure                                       │
└─────────────────────────────────────────────────────────────────┘
          │
          ▼
┌─────────────────────────────────────────────────────────────────┐
│                    RustCompute (RingKernel)                      │
│                    GPU execution framework                       │
└─────────────────────────────────────────────────────────────────┘

Workspace Structure

The workspace contains 18 crates organized by concern:

Infrastructure Crates

CratePurpose
rustkernelFacade crate, re-exports all domains
rustkernel-coreCore traits, registry, licensing, K2K coordination
rustkernel-deriveProcedural macros for kernel definition
rustkernel-cliCommand-line interface for kernel management

Domain Crates

14 domain-specific crates, each containing kernels for a particular business area:

crates/
├── rustkernel-graph/        # Graph analytics (21 kernels)
├── rustkernel-ml/           # Statistical ML (8 kernels)
├── rustkernel-compliance/   # AML/KYC (9 kernels)
├── rustkernel-temporal/     # Time series (7 kernels)
├── rustkernel-risk/         # Risk analytics (4 kernels)
├── rustkernel-banking/      # Banking (1 kernel)
├── rustkernel-behavioral/   # Behavioral (6 kernels)
├── rustkernel-orderbook/    # Order matching (1 kernel)
├── rustkernel-procint/      # Process intelligence (4 kernels)
├── rustkernel-clearing/     # Clearing/settlement (5 kernels)
├── rustkernel-treasury/     # Treasury (5 kernels)
├── rustkernel-accounting/   # Accounting (7 kernels)
├── rustkernel-payments/     # Payments (2 kernels)
└── rustkernel-audit/        # Audit (2 kernels)

Core Traits

All kernels are built on a set of core traits defined in rustkernel-core:

GpuKernel

The base trait for all kernels:

pub trait GpuKernel: Send + Sync + Debug {
    /// Returns kernel metadata (ID, domain, mode, etc.)
    fn metadata(&self) -> &KernelMetadata;

    /// Validates kernel configuration
    fn validate(&self) -> Result<()>;
}

BatchKernel

For CPU-orchestrated batch execution:

pub trait BatchKernel<I, O>: GpuKernel {
    /// Execute the kernel with given input
    async fn execute(&self, input: I) -> Result<O>;
}

RingKernelHandler

For GPU-persistent actor execution:

pub trait RingKernelHandler<M, R>: GpuKernel
where
    M: RingMessage,
    R: RingMessage,
{
    /// Handle a message and produce a response
    async fn handle(&self, ctx: &mut RingContext, msg: M) -> Result<R>;
}

IterativeKernel

For multi-pass algorithms (PageRank, K-Means, etc.):

pub trait IterativeKernel<S, I, O>: GpuKernel {
    /// Create initial state from input
    fn initial_state(&self, input: &I) -> S;

    /// Perform one iteration
    async fn iterate(&self, state: &mut S, input: &I) -> Result<IterationResult<O>>;

    /// Check if algorithm has converged
    fn converged(&self, state: &S, threshold: f64) -> bool;
}

Kernel Metadata

Every kernel has associated metadata:

pub struct KernelMetadata {
    /// Unique identifier (e.g., "graph/pagerank")
    pub id: String,

    /// Execution mode
    pub mode: KernelMode,

    /// Business domain
    pub domain: Domain,

    /// Human-readable description
    pub description: String,

    /// Expected throughput (ops/sec)
    pub expected_throughput: u64,

    /// Target latency in microseconds
    pub target_latency_us: f64,

    /// Whether GPU-native execution is required
    pub requires_gpu_native: bool,

    /// Kernel version
    pub version: u32,
}

K2K (Kernel-to-Kernel) Messaging

RustKernels supports cross-kernel coordination through K2K messaging patterns:

Available Patterns

PatternUse Case
IterativeStateTrack convergence across iterations
ScatterGatherStateParallel worker coordination
FanOutTrackerBroadcast patterns
PipelineTrackerMulti-stage processing

Example: Iterative Coordination

use rustkernel_core::k2k::IterativeState;

let mut state = IterativeState::new(max_iterations);

while !state.converged() {
    // Execute iteration across kernels
    let results = execute_iteration(&mut state).await?;

    // Update convergence tracking
    state.update(results.delta);
}

Domain Crate Structure

Each domain crate follows a consistent structure:

rustkernel-{domain}/
├── Cargo.toml
└── src/
    ├── lib.rs           # Module exports, register_all()
    ├── messages.rs      # Batch kernel input/output types
    ├── ring_messages.rs # Ring message types
    ├── types.rs         # Common domain types
    └── {feature}.rs     # Kernel implementations

Example: Graph Analytics Crate

rustkernel-graph/
└── src/
    ├── lib.rs
    ├── messages.rs
    ├── ring_messages.rs
    ├── types.rs
    ├── centrality.rs    # PageRank, Betweenness, etc.
    ├── community.rs     # Louvain, Label Propagation
    ├── similarity.rs    # Jaccard, Cosine, Adamic-Adar
    ├── metrics.rs       # Density, Clustering Coefficient
    └── motif.rs         # Triangle counting, k-cliques

Ring Message Type IDs

Each domain has a reserved range for Ring message type IDs to avoid collisions:

DomainRange
Graph200-299
Compliance300-399
Temporal400-499
Risk600-699
ML700-799

Licensing System

RustKernels includes an enterprise licensing system:

  • DevelopmentLicense: All features enabled (default for local development)
  • ProductionLicense: Domain-based feature gating
  • Validation occurs at kernel registration and activation time
use rustkernel_core::license::{LicenseValidator, DevelopmentLicense};

let validator = DevelopmentLicense::new();
assert!(validator.is_domain_licensed(Domain::GraphAnalytics));

Fixed-Point Arithmetic

For GPU-compatible and exact financial calculations, Ring messages use fixed-point arithmetic:

// 18 decimal places (accounting kernels)
const SCALE: i128 = 1_000_000_000_000_000_000;

pub struct FixedPoint128 {
    pub value: i128,
}

impl FixedPoint128 {
    pub fn from_f64(v: f64) -> Self {
        Self { value: (v * SCALE as f64) as i128 }
    }

    pub fn to_f64(&self) -> f64 {
        self.value as f64 / SCALE as f64
    }
}

Next Steps

Execution Modes

RustKernels supports two execution modes with different performance characteristics. Understanding these modes is essential for choosing the right approach for your workload.

Overview

AspectBatch ModeRing Mode
Latency10-50μs100-500ns
Launch OverheadHigherMinimal
State LocationCPU memoryGPU memory
Programming ModelRequest/responseActor messages
Best ForHeavy periodic computationHigh-frequency streaming

Batch Mode

Batch mode provides CPU-orchestrated kernel execution. The kernel is launched on-demand, executes on the GPU, and returns results to the CPU.

Characteristics

  • Launch overhead: 10-50μs per invocation
  • State management: State lives in CPU memory between calls
  • Execution model: Synchronous request/response
  • Data transfer: Input copied to GPU, output copied back

When to Use Batch Mode

  • Heavy computational tasks (matrix operations, large graph processing)
  • Periodic batch jobs (nightly risk calculations, weekly reports)
  • Tasks where launch overhead is negligible compared to computation time
  • When you need to process a complete dataset at once

Implementation

Batch kernels implement the BatchKernel trait:

use rustkernel_core::traits::{GpuKernel, BatchKernel};
use rustkernel_core::kernel::KernelMetadata;

pub struct MyBatchKernel {
    metadata: KernelMetadata,
}

impl GpuKernel for MyBatchKernel {
    fn metadata(&self) -> &KernelMetadata {
        &self.metadata
    }
}

impl BatchKernel<MyInput, MyOutput> for MyBatchKernel {
    async fn execute(&self, input: MyInput) -> Result<MyOutput> {
        // GPU computation here
        Ok(output)
    }
}

Usage Example

use rustkernel::graph::centrality::PageRank;

let kernel = PageRank::new();

// Prepare large graph input
let input = PageRankInput {
    num_nodes: 1_000_000,
    edges: load_edges_from_file()?,
    damping_factor: 0.85,
    max_iterations: 100,
    tolerance: 1e-6,
};

// Execute - may take seconds for large graphs
let result = kernel.execute(input).await?;

println!("Top node: {} with score {:.4}",
    result.top_node(),
    result.scores[result.top_node()]
);

Ring Mode

Ring mode provides GPU-persistent actors. The kernel maintains state on the GPU and processes messages with minimal latency.

Characteristics

  • Message latency: 100-500ns per message
  • State persistence: State remains on GPU between messages
  • Execution model: Asynchronous actor messages
  • Data transfer: Only message payloads transferred

When to Use Ring Mode

  • High-frequency operations (order matching, real-time scoring)
  • Streaming workloads (continuous data feeds)
  • When sub-millisecond latency is critical
  • Incremental updates to persistent state

Implementation

Ring kernels implement the RingKernelHandler trait:

use rustkernel_core::traits::{GpuKernel, RingKernelHandler};
use rustkernel_core::ring::{RingContext, RingMessage};

pub struct MyRingKernel {
    metadata: KernelMetadata,
}

impl GpuKernel for MyRingKernel {
    fn metadata(&self) -> &KernelMetadata {
        &self.metadata
    }
}

impl RingKernelHandler<MyRequest, MyResponse> for MyRingKernel {
    async fn handle(
        &self,
        ctx: &mut RingContext,
        msg: MyRequest,
    ) -> Result<MyResponse> {
        // Process message, update GPU state
        Ok(response)
    }
}

Ring Message Definition

Ring messages use fixed-point arithmetic and rkyv serialization:

use ringkernel_derive::RingMessage;
use rkyv::{Archive, Serialize, Deserialize};

#[derive(Debug, Clone, Archive, Serialize, Deserialize, RingMessage)]
#[archive(check_bytes)]
#[message(type_id = 200)]  // Unique within domain range
pub struct ScoreQueryRequest {
    #[message(id)]
    pub id: MessageId,
    pub node_id: u32,
}

#[derive(Debug, Clone, Archive, Serialize, Deserialize, RingMessage)]
#[archive(check_bytes)]
#[message(type_id = 201)]
pub struct ScoreQueryResponse {
    #[message(id)]
    pub id: MessageId,
    pub score_fp: i64,  // Fixed-point score
}

Usage Example

use rustkernel::graph::centrality::PageRankRing;

// Create ring kernel (initializes GPU state)
let ring = PageRankRing::new();

// Stream of edge updates
for edge in incoming_edges {
    // Low-latency edge addition
    ring.add_edge(edge.from, edge.to).await?;
}

// Query current scores (sub-millisecond)
let scores = ring.query_scores().await?;

// Trigger re-computation if needed
ring.recalculate().await?;

Choosing Between Modes

Decision Matrix

ScenarioRecommended ModeReason
Nightly risk reportBatchLarge computation, latency not critical
Real-time fraud scoringRingSub-ms latency required
Graph analysis on static dataBatchOne-time computation
Order book matchingRingContinuous high-frequency updates
ML model inference (bulk)BatchProcess entire batch at once
ML model inference (streaming)RingIncremental predictions

Hybrid Approach

Many applications combine both modes:

// Batch: Initial heavy computation
let graph_kernel = GraphBuilder::new();
let initial_graph = graph_kernel.build(edges).await?;

// Ring: Real-time updates
let ring_kernel = GraphRing::from(initial_graph);

loop {
    // Process streaming updates with low latency
    let update = receive_update().await;
    ring_kernel.handle(update).await?;

    // Periodically sync state back for batch analysis
    if should_sync() {
        let snapshot = ring_kernel.snapshot().await?;
        batch_analysis(snapshot).await?;
    }
}

Performance Considerations

Batch Mode Optimization

  1. Batch your inputs: Process multiple items in one call
  2. Minimize data transfer: Only send required fields
  3. Use async: Don’t block on kernel completion
// Good: Process many items at once
let results = kernel.execute_batch(items).await?;

// Avoid: Processing one at a time
for item in items {
    let result = kernel.execute(item).await?;  // High overhead
}

Ring Mode Optimization

  1. Keep messages small: Only transfer deltas
  2. Batch when possible: Group related messages
  3. Use K2K for coordination: Avoid CPU round-trips
// Good: Small incremental update
ring.update_score(node_id, delta).await?;

// Avoid: Transferring full state
ring.set_all_scores(full_score_vector).await?;  // Large transfer

Iterative Kernels

Some algorithms naturally span multiple iterations (PageRank, K-Means). These implement IterativeKernel:

pub trait IterativeKernel<S, I, O>: GpuKernel {
    fn initial_state(&self, input: &I) -> S;
    async fn iterate(&self, state: &mut S, input: &I) -> Result<IterationResult<O>>;
    fn converged(&self, state: &S, threshold: f64) -> bool;
}

Usage:

let kernel = PageRank::new();

// Create initial state
let mut state = kernel.initial_state(&input);

// Iterate until convergence
while !kernel.converged(&state, tolerance) {
    let result = kernel.iterate(&mut state, &input).await?;
    println!("Iteration {}: delta={:.6}", result.iteration, result.delta);
}

Next Steps

Kernel Catalogue

RustKernels provides 106 GPU-accelerated kernels across 14 domain-specific crates. This catalogue organizes kernels by business domain.

Quick Reference

DomainCrateKernelsPrimary Use Cases
Graph Analyticsrustkernel-graph28Centrality, GNN inference, community detection
Statistical MLrustkernel-ml17Clustering, NLP, federated learning, healthcare
Compliancerustkernel-compliance11AML, KYC, sanctions screening
Temporal Analysisrustkernel-temporal7Forecasting, seasonality, anomalies
Risk Analyticsrustkernel-risk5Credit, market, portfolio risk
Bankingrustkernel-banking1Fraud pattern matching
Behavioral Analyticsrustkernel-behavioral6Profiling, forensics, correlation
Order Matchingrustkernel-orderbook1Order book matching engine
Process Intelligencerustkernel-procint7DFG, conformance, digital twin simulation
Clearingrustkernel-clearing5Netting, settlement, DVP
Treasuryrustkernel-treasury5Cash flow, FX, liquidity
Accountingrustkernel-accounting9Network generation, reconciliation
Paymentsrustkernel-payments2Payment processing, flow analysis
Auditrustkernel-audit2Feature extraction, hypergraph

Kernels by Execution Mode

Batch-Only Kernels (35)

Heavy computation kernels that only support batch mode:

  • Graph: BetweennessCentrality, FullGraphMetrics, GNNInference, GraphAttention
  • ML: DBSCAN, HierarchicalClustering, IsolationForest, SecureAggregation, DrugInteractionPrediction
  • Compliance: EntityResolution, TransactionMonitoring
  • Process: NextActivityPrediction, EventLogImputation, DigitalTwin
  • And more…

Ring-Only Kernels (0)

Currently all Ring-capable kernels also support Batch mode.

Dual-Mode Kernels (71)

Kernels supporting both Batch and Ring execution:

  • All centrality measures (PageRank, Degree, Closeness, etc.)
  • All clustering algorithms (KMeans, Louvain, etc.)
  • All risk calculations (VaR, Credit Scoring, etc.)
  • Streaming ML (StreamingIsolationForest, AdaptiveThreshold)
  • And more…

Using the Catalogue

Each domain page includes:

  1. Domain Overview - Purpose and key use cases
  2. Kernel List - All kernels with brief descriptions
  3. Kernel Details - For each kernel:
    • Kernel ID and modes
    • Input/output types
    • Usage examples
    • Performance characteristics

Feature Flags

Enable specific domains via Cargo features:

# Default domains
rustkernel = "0.1.0"  # graph, ml, compliance, temporal, risk

# Selective
rustkernel = { version = "0.1.0", features = ["accounting", "treasury"] }

# All domains
rustkernel = { version = "0.1.0", features = ["full"] }

Kernel ID Convention

Kernel IDs follow the pattern {domain}/{kernel-name}:

graph/pagerank
ml/kmeans
compliance/aml-pattern-detection
risk/monte-carlo-var
accounting/network-generation

This enables hierarchical organization and clear domain ownership.

Graph Analytics

Crate: rustkernel-graph Kernels: 28 Feature: graph (included in default features)

Graph analytics kernels for network analysis, social network analysis, knowledge graph operations, and AML/fraud detection.

Kernel Overview

Centrality Measures (6)

KernelIDModesDescription
PageRankgraph/pagerankBatch, RingPower iteration with teleportation
DegreeCentralitygraph/degree-centralityBatch, RingIn/out/total degree counting
BetweennessCentralitygraph/betweenness-centralityBatchBrandes algorithm
ClosenessCentralitygraph/closeness-centralityBatch, RingBFS-based distance calculation
EigenvectorCentralitygraph/eigenvector-centralityBatch, RingPower iteration method
KatzCentralitygraph/katz-centralityBatch, RingAttenuated path counting

Community Detection (3)

KernelIDModesDescription
ModularityScoregraph/modularity-scoreBatchCommunity quality metric
LouvainCommunitygraph/louvain-communityBatch, RingModularity optimization
LabelPropagationgraph/label-propagationBatch, RingFast community detection

Similarity Measures (5)

KernelIDModesDescription
JaccardSimilaritygraph/jaccard-similarityBatch, RingNeighbor set overlap
CosineSimilaritygraph/cosine-similarityBatch, RingVector-based similarity
AdamicAdarIndexgraph/adamic-adar-indexBatchWeighted common neighbors
CommonNeighborsgraph/common-neighborsBatch, RingShared neighbor counting
ValueSimilaritygraph/value-similarityBatchDistribution comparison (JSD/Wasserstein)

Graph Metrics (5)

KernelIDModesDescription
GraphDensitygraph/graph-densityBatch, RingEdge density calculation
AveragePathLengthgraph/average-path-lengthBatchBFS-based distance sampling
ClusteringCoefficientgraph/clustering-coefficientBatch, RingLocal/global clustering
ConnectedComponentsgraph/connected-componentsBatch, RingUnion-Find algorithm
FullGraphMetricsgraph/full-graph-metricsBatchCombined metrics computation

Motif Detection (3)

KernelIDModesDescription
TriangleCountinggraph/triangle-countingBatch, RingTriangle enumeration
MotifDetectiongraph/motif-detectionBatchSubgraph pattern matching
KCliqueDetectiongraph/k-clique-detectionBatchComplete subgraph finding

Topology Analysis (2)

KernelIDModesDescription
DegreeRatiograph/degree-ratioRingIn/out ratio for source/sink classification
StarTopologyScoregraph/star-topologyBatchHub-and-spoke detection (smurfing)

Cycle Detection (1)

KernelIDModesDescription
ShortCycleParticipationgraph/cycle-participationBatch2-4 hop cycle detection (AML)

Path Analysis (1)

KernelIDModesDescription
ShortestPathgraph/shortest-pathBatchBFS/Delta-Stepping SSSP/APSP

Graph Neural Networks (2)

KernelIDModesDescription
GNNInferencegraph/gnn-inferenceBatchMessage-passing neural network inference
GraphAttentiongraph/graph-attentionBatchMulti-head graph attention networks

Kernel Details

PageRank

The PageRank algorithm computes the importance of nodes based on link structure.

ID: graph/pagerank Modes: Batch, Ring Throughput: ~100,000 nodes/sec Latency: 50μs (Batch), 500ns (Ring)

Input

pub struct PageRankInput {
    /// Number of nodes in the graph
    pub num_nodes: u32,
    /// Edges as (from, to) pairs
    pub edges: Vec<(u32, u32)>,
    /// Damping factor (typically 0.85)
    pub damping_factor: f64,
    /// Maximum iterations
    pub max_iterations: u32,
    /// Convergence tolerance
    pub tolerance: f64,
}

Output

pub struct PageRankOutput {
    /// PageRank scores indexed by node ID
    pub scores: Vec<f64>,
    /// Number of iterations performed
    pub iterations: u32,
    /// Final delta (convergence measure)
    pub delta: f64,
}

Example

use rustkernel::graph::centrality::{PageRank, PageRankInput};

let kernel = PageRank::new();

let input = PageRankInput {
    num_nodes: 4,
    edges: vec![(0, 1), (0, 2), (1, 2), (2, 0), (2, 3), (3, 0)],
    damping_factor: 0.85,
    max_iterations: 100,
    tolerance: 1e-6,
};

let result = kernel.execute(input).await?;
println!("Top node: {}", result.top_node());

LouvainCommunity

Detects communities using the Louvain method for modularity optimization.

ID: graph/louvain-community Modes: Batch, Ring Throughput: ~50,000 nodes/sec

Input

pub struct LouvainInput {
    pub num_nodes: u32,
    pub edges: Vec<(u32, u32)>,
    /// Resolution parameter (1.0 = standard modularity)
    pub resolution: f64,
}

Output

pub struct LouvainOutput {
    /// Community assignment per node
    pub communities: Vec<u32>,
    /// Number of communities found
    pub num_communities: u32,
    /// Final modularity score
    pub modularity: f64,
}

TriangleCounting

Counts triangles in the graph, useful for clustering coefficient and network density analysis.

ID: graph/triangle-counting Modes: Batch, Ring

Example

use rustkernel::graph::motif::{TriangleCounting, TriangleInput};

let kernel = TriangleCounting::new();
let result = kernel.execute(TriangleInput {
    num_nodes: 100,
    edges: edges,
}).await?;

println!("Triangles: {}", result.triangle_count);
println!("Clustering coefficient: {:.4}", result.global_clustering);

ShortCycleParticipation

Detects participation in short cycles (2-4 hops) which are key indicators for AML.

ID: graph/cycle-participation Modes: Batch Throughput: ~25,000 nodes/sec

Short cycles are critical AML indicators:

  • 2-cycles (reciprocal): Immediate return transactions
  • 3-cycles (triangles): Layering patterns - HIGH AML risk
  • 4-cycles (squares): Organized laundering - CRITICAL AML risk

Example

use rustkernel::graph::cycles::{ShortCycleParticipation, CycleRiskLevel};

let kernel = ShortCycleParticipation::new();
let results = kernel.compute_all(&graph);

// Find high-risk nodes
for result in &results {
    if matches!(result.risk_level, CycleRiskLevel::High | CycleRiskLevel::Critical) {
        println!("HIGH RISK: Node {} participates in {} 4-cycles",
                 result.node_index, result.cycle_count_4hop);
    }
}

// Count triangles in the graph
let triangles = ShortCycleParticipation::count_triangles(&graph);

DegreeRatio

Calculates in-degree/out-degree ratio for node classification.

ID: graph/degree-ratio Modes: Ring Latency: ~300ns per query

Classifies nodes as:

  • Source: Mostly outgoing edges (payment originators)
  • Sink: Mostly incoming edges (collection accounts)
  • Balanced: Equal in/out (intermediary accounts)

Example

use rustkernel::graph::topology::{DegreeRatio, NodeClassification};

let results = DegreeRatio::compute_batch(&graph);
let roles = DegreeRatio::classify_nodes(&graph);

println!("Sources: {:?}", roles.sources);
println!("Sinks: {:?}", roles.sinks);

StarTopologyScore

Detects hub-and-spoke patterns for smurfing and money mule detection.

ID: graph/star-topology Modes: Batch Throughput: ~20,000 nodes/sec

Star types:

  • In-Star: Collection pattern (many payers to one receiver)
  • Out-Star: Distribution pattern (smurfing indicator)
  • Mixed: Money mule hub

Example

use rustkernel::graph::topology::{StarTopologyScore, StarType};

let kernel = StarTopologyScore::with_min_degree(10);
let hubs = kernel.top_k_hubs(&graph, 10);

// Find potential smurfing accounts (out-stars)
let out_stars = kernel.find_out_stars(&graph, 0.8);
for hub in out_stars {
    println!("POTENTIAL SMURFING: Node {} with score {:.2}",
             hub.node_index, hub.star_score);
}

ShortestPath

Computes shortest paths using BFS or Delta-Stepping algorithm.

ID: graph/shortest-path Modes: Batch Throughput: ~50,000 nodes/sec

Supports:

  • Single-source shortest path (SSSP)
  • All-pairs shortest path (APSP)
  • K-shortest paths (Yen’s algorithm)

Example

use rustkernel::graph::paths::ShortestPath;

// Single-source shortest path
let sssp = ShortestPath::compute_sssp_bfs(&graph, source);
println!("Distance to target: {}", sssp[target].distance);

// Reconstruct path
if let Some(path) = ShortestPath::compute_path(&graph, source, target) {
    println!("Path: {:?}", path.node_path);
}

// Graph diameter
let diameter = ShortestPath::compute_diameter(&graph);

ValueSimilarity

Compares node value distributions using statistical distance metrics.

ID: graph/value-similarity Modes: Batch Throughput: ~25,000 pairs/sec

Metrics:

  • Jensen-Shannon Divergence (JSD): Symmetric KL divergence
  • Wasserstein Distance: Earth Mover’s Distance

Example

use rustkernel::graph::similarity::{ValueSimilarity, ValueDistribution};

// Create distributions from transaction amounts
let dist = ValueDistribution::from_values(&node_amounts, 50);

// Find similar nodes using JSD
let pairs = ValueSimilarity::compute_all_pairs_jsd(&dist, 0.9, 100);
for pair in &pairs {
    println!("Similar: {} and {} (similarity: {:.3})",
             pair.node_a, pair.node_b, pair.similarity);
}

GNNInference

Graph Neural Network inference using message passing.

ID: graph/gnn-inference Modes: Batch Throughput: ~10,000 nodes/sec

Supports configurable aggregation functions (mean, sum, max) and multiple message passing iterations.

Example

use rustkernel::graph::gnn::{GNNInference, GNNConfig, AggregationType};

let kernel = GNNInference::new();

// Configure the GNN
let config = GNNConfig {
    hidden_dim: 64,
    output_dim: 32,
    num_layers: 2,
    aggregation: AggregationType::Mean,
    activation: ActivationType::ReLU,
};

// Run inference
let node_embeddings = kernel.infer(&graph, &node_features, &config)?;
println!("Node 0 embedding: {:?}", node_embeddings[0]);

GraphAttention

Multi-head graph attention network for node classification and link prediction.

ID: graph/graph-attention Modes: Batch Throughput: ~8,000 nodes/sec

Uses self-attention to learn importance weights for neighboring nodes.

Example

use rustkernel::graph::gnn::{GraphAttention, AttentionConfig};

let kernel = GraphAttention::new();

let config = AttentionConfig {
    num_heads: 4,
    hidden_dim: 64,
    output_dim: 32,
    dropout: 0.1,
    concat_heads: true,
};

let output = kernel.forward(&graph, &node_features, &config)?;
println!("Attention weights: {:?}", output.attention_weights);

Ring Mode Usage

For high-frequency graph updates, use Ring mode:

use rustkernel::graph::centrality::PageRankRing;

let ring = PageRankRing::new();

// Add edges with low latency
ring.add_edge(0, 1).await?;
ring.add_edge(1, 2).await?;

// Query current scores
let score = ring.query_score(0).await?;

// Trigger recalculation
ring.recalculate().await?;

Performance Tips

  1. Use CSR format: For large static graphs, convert to CSR before processing
  2. Batch edge updates: When using Ring mode, batch multiple edges when possible
  3. Choose appropriate algorithms: BetweennessCentrality is O(V*E), consider sampling for large graphs
  4. Leverage GPU: Ensure CUDA is available for maximum throughput

Statistical ML

Crate: rustkernel-ml Kernels: 17 Feature: ml (included in default features)

Machine learning kernels for clustering, anomaly detection, NLP, federated learning, and healthcare analytics.

Kernel Overview

Clustering (3)

KernelIDModesDescription
KMeansml/kmeansBatch, RingK-means++ clustering
DBSCANml/dbscanBatchDensity-based clustering
HierarchicalClusteringml/hierarchical-clusteringBatchAgglomerative clustering

Anomaly Detection (3)

KernelIDModesDescription
IsolationForestml/isolation-forestBatchTree-based anomaly detection
LocalOutlierFactorml/local-outlier-factorBatch, RingDensity-based outlier detection
EnsembleVotingml/ensemble-votingBatch, RingCombine multiple detectors

Regression (2)

KernelIDModesDescription
LinearRegressionml/linear-regressionBatch, RingOrdinary least squares
RidgeRegressionml/ridge-regressionBatch, RingL2-regularized regression

NLP / Embeddings (2)

KernelIDModesDescription
EmbeddingGenerationml/embedding-generationBatchGenerate text embeddings from documents
SemanticSimilarityml/semantic-similarityBatchCompute similarity between document embeddings

Federated Learning (1)

KernelIDModesDescription
SecureAggregationml/secure-aggregationBatchPrivacy-preserving distributed model training

Healthcare Analytics (2)

KernelIDModesDescription
DrugInteractionPredictionml/drug-interactionBatchPredict multi-drug interaction risks
ClinicalPathwayConformanceml/clinical-pathwayBatchCheck treatment guideline compliance

Streaming ML (2)

KernelIDModesDescription
StreamingIsolationForestml/streaming-iforestBatch, RingOnline anomaly detection
AdaptiveThresholdml/adaptive-thresholdBatch, RingSelf-adjusting anomaly thresholds

Explainability (2)

KernelIDModesDescription
SHAPValuesml/shap-valuesBatchGPU-accelerated SHAP explanations
FeatureImportanceml/feature-importanceBatchReal-time feature attribution

Kernel Details

KMeans

Partitions data into K clusters using the K-means++ initialization.

ID: ml/kmeans Modes: Batch, Ring Throughput: ~500,000 points/sec

Input

pub struct KMeansInput {
    /// Data points as flattened array
    pub points: Vec<f64>,
    /// Number of dimensions per point
    pub dimensions: u32,
    /// Number of clusters
    pub k: u32,
    /// Maximum iterations
    pub max_iterations: u32,
    /// Convergence tolerance
    pub tolerance: f64,
}

Output

pub struct KMeansOutput {
    /// Cluster assignment per point
    pub assignments: Vec<u32>,
    /// Centroids (k * dimensions)
    pub centroids: Vec<f64>,
    /// Iterations performed
    pub iterations: u32,
    /// Inertia (sum of squared distances)
    pub inertia: f64,
}

Example

use rustkernel::ml::clustering::{KMeans, KMeansInput};

let kernel = KMeans::new();

let input = KMeansInput {
    points: vec![
        1.0, 2.0,  // Point 0
        1.5, 1.8,  // Point 1
        5.0, 8.0,  // Point 2
        6.0, 9.0,  // Point 3
    ],
    dimensions: 2,
    k: 2,
    max_iterations: 100,
    tolerance: 1e-4,
};

let result = kernel.execute(input).await?;
println!("Clusters: {:?}", result.assignments);

IsolationForest

Detects anomalies by isolating observations using random forests.

ID: ml/isolation-forest Modes: Batch

Input

pub struct IsolationForestInput {
    pub points: Vec<f64>,
    pub dimensions: u32,
    /// Number of trees
    pub n_estimators: u32,
    /// Subsample size
    pub max_samples: u32,
    /// Contamination ratio (expected anomaly rate)
    pub contamination: f64,
}

Output

pub struct IsolationForestOutput {
    /// Anomaly scores (higher = more anomalous)
    pub scores: Vec<f64>,
    /// Binary labels (-1 = anomaly, 1 = normal)
    pub labels: Vec<i32>,
}

LocalOutlierFactor

Measures local density deviation to identify outliers.

ID: ml/local-outlier-factor Modes: Batch, Ring

Example

use rustkernel::ml::anomaly::{LocalOutlierFactor, LOFInput};

let kernel = LocalOutlierFactor::new();

let result = kernel.execute(LOFInput {
    points: data_points,
    dimensions: 3,
    k_neighbors: 20,
}).await?;

// Scores > 1.0 indicate outliers
let outliers: Vec<usize> = result.scores
    .iter()
    .enumerate()
    .filter(|(_, &s)| s > 1.5)
    .map(|(i, _)| i)
    .collect();

LinearRegression

Fits a linear model using ordinary least squares.

ID: ml/linear-regression Modes: Batch, Ring

Input

pub struct LinearRegressionInput {
    /// Feature matrix (n_samples * n_features)
    pub features: Vec<f64>,
    /// Target values (n_samples)
    pub targets: Vec<f64>,
    /// Number of features
    pub n_features: u32,
    /// Whether to fit intercept
    pub fit_intercept: bool,
}

Output

pub struct LinearRegressionOutput {
    /// Coefficients (n_features, or n_features + 1 with intercept)
    pub coefficients: Vec<f64>,
    /// Intercept (if fit_intercept = true)
    pub intercept: f64,
    /// R-squared score
    pub r_squared: f64,
}

EmbeddingGeneration

Generates text embeddings from documents using TF-IDF and n-gram features.

ID: ml/embedding-generation Modes: Batch

Example

use rustkernel::ml::nlp::{EmbeddingGeneration, EmbeddingConfig};

let kernel = EmbeddingGeneration::new();

let config = EmbeddingConfig {
    embedding_dim: 128,
    ngram_range: (1, 2),
    max_features: 10000,
    use_idf: true,
};

let documents = vec!["financial transaction", "bank transfer"];
let embeddings = kernel.generate(&documents, &config)?;

SemanticSimilarity

Computes cosine similarity between document embeddings.

ID: ml/semantic-similarity Modes: Batch

Example

use rustkernel::ml::nlp::{SemanticSimilarity, SimilarityConfig};

let kernel = SemanticSimilarity::new();

let similar = kernel.find_similar(
    &embeddings,
    query_index,
    &SimilarityConfig { top_k: 10, threshold: 0.5, include_self: false }
)?;

SecureAggregation

Privacy-preserving federated learning with differential privacy.

ID: ml/secure-aggregation Modes: Batch

Aggregates model updates from multiple clients while preserving privacy through noise injection and gradient clipping.

Example

use rustkernel::ml::federated::{SecureAggregation, AggregationConfig};

let kernel = SecureAggregation::new();

let config = AggregationConfig {
    num_clients: 10,
    clip_threshold: 1.0,
    noise_multiplier: 0.1,
    secure_mode: true,
};

let global_update = kernel.aggregate(&client_updates, &config)?;

DrugInteractionPrediction

Predicts multi-drug interaction risks using hypergraph neural networks.

ID: ml/drug-interaction Modes: Batch

Example

use rustkernel::ml::healthcare::{DrugInteractionPrediction, DrugProfile};

let kernel = DrugInteractionPrediction::new();

let drugs = vec![
    DrugProfile { id: "D001", features: moa_features.clone() },
    DrugProfile { id: "D002", features: target_features.clone() },
];

let result = kernel.predict(&drugs)?;
println!("Interaction risk: {:.2}", result.risk_score);

ClinicalPathwayConformance

Checks treatment event sequences against clinical guidelines.

ID: ml/clinical-pathway Modes: Batch

Example

use rustkernel::ml::healthcare::{ClinicalPathwayConformance, ClinicalPathway};

let kernel = ClinicalPathwayConformance::new();

let pathway = ClinicalPathway {
    name: "Sepsis Protocol".to_string(),
    required_steps: vec!["blood_culture", "antibiotics", "fluids"],
    max_time_hours: 3.0,
};

let result = kernel.check_conformance(&events, &pathway)?;
println!("Conformance: {:.1}%", result.conformance_score * 100.0);

Ring Mode for Streaming ML

Ring mode enables online learning scenarios:

use rustkernel::ml::clustering::KMeansRing;

let ring = KMeansRing::new(k: 5, dimensions: 3);

// Stream data points
for point in incoming_stream {
    // Assign to nearest cluster (sub-millisecond)
    let cluster = ring.assign_point(point).await?;

    // Periodically update centroids
    if should_update_centroids() {
        ring.update_centroids().await?;
    }
}

Performance Considerations

  1. Dimensionality: High dimensions slow down distance calculations
  2. Memory: KMeans stores all points; for very large datasets, consider mini-batch
  3. Initialization: K-means++ is more expensive but gives better results
  4. GPU utilization: Ensure batch sizes are large enough to saturate GPU

Compliance

Crate: rustkernel-compliance Kernels: 11 Feature: compliance (included in default features)

Anti-money laundering (AML), Know Your Customer (KYC), and regulatory compliance kernels.

Kernel Overview

AML Pattern Detection (6)

KernelIDModesDescription
CircularFlowRatiocompliance/circular-flowBatch, RingDetect circular fund flows
ReciprocityFlowRatiocompliance/reciprocity-flowBatch, RingIdentify reciprocal transactions
RapidMovementcompliance/rapid-movementBatch, RingFlag rapid fund movements
AMLPatternDetectioncompliance/aml-patternBatch, RingCombined AML scoring
FlowReversalPatterncompliance/flow-reversalBatchTransaction reversal detection (wash trading)
FlowSplitRatiocompliance/flow-splitBatchStructuring/smurfing detection

KYC/Screening (4)

KernelIDModesDescription
KYCScoringcompliance/kyc-scoringBatch, RingCustomer risk scoring
EntityResolutioncompliance/entity-resolutionBatchMatch entities across records
SanctionsScreeningcompliance/sanctions-screeningBatch, RingCheck against sanctions lists
PEPScreeningcompliance/pep-screeningBatch, RingPolitically Exposed Person screening

Monitoring (1)

KernelIDModesDescription
TransactionMonitoringcompliance/transaction-monitoringBatchReal-time transaction analysis

Kernel Details

AMLPatternDetection

Comprehensive AML scoring combining multiple detection methods.

ID: compliance/aml-pattern-detection Modes: Batch, Ring

Input

pub struct AMLPatternInput {
    /// Transaction graph edges (from_account, to_account, amount)
    pub transactions: Vec<(String, String, f64)>,
    /// Time window in seconds
    pub time_window: u64,
    /// Minimum amount threshold
    pub min_amount: f64,
    /// Detection thresholds
    pub thresholds: AMLThresholds,
}

pub struct AMLThresholds {
    pub circular_flow_threshold: f64,
    pub reciprocity_threshold: f64,
    pub rapid_movement_threshold: f64,
    pub structuring_threshold: f64,
}

Output

pub struct AMLPatternOutput {
    /// Overall risk scores per account
    pub risk_scores: HashMap<String, f64>,
    /// Detected patterns
    pub patterns: Vec<DetectedPattern>,
    /// High-risk accounts
    pub flagged_accounts: Vec<String>,
}

pub struct DetectedPattern {
    pub pattern_type: PatternType,
    pub accounts: Vec<String>,
    pub confidence: f64,
    pub description: String,
}

Example

use rustkernel::compliance::aml::{AMLPatternDetection, AMLPatternInput};

let kernel = AMLPatternDetection::new();

let input = AMLPatternInput {
    transactions: vec![
        ("A".into(), "B".into(), 9500.0),
        ("B".into(), "C".into(), 9400.0),
        ("C".into(), "A".into(), 9300.0),  // Circular flow
    ],
    time_window: 86400,  // 24 hours
    min_amount: 1000.0,
    thresholds: AMLThresholds::default(),
};

let result = kernel.execute(input).await?;

for pattern in result.patterns {
    println!("Detected: {:?} with confidence {:.2}",
        pattern.pattern_type,
        pattern.confidence
    );
}

SanctionsScreening

Screens entities against sanctions and watchlists.

ID: compliance/sanctions-screening Modes: Batch, Ring

Input

pub struct SanctionsScreeningInput {
    /// Entities to screen
    pub entities: Vec<EntityInfo>,
    /// Sanctions list identifier
    pub list_ids: Vec<String>,
    /// Fuzzy matching threshold (0.0-1.0)
    pub match_threshold: f64,
}

pub struct EntityInfo {
    pub name: String,
    pub aliases: Vec<String>,
    pub country: Option<String>,
    pub date_of_birth: Option<String>,
}

Output

pub struct SanctionsScreeningOutput {
    /// Matches found
    pub matches: Vec<SanctionsMatch>,
    /// Number of entities screened
    pub entities_screened: u32,
    /// Processing time
    pub processing_time_ms: u64,
}

pub struct SanctionsMatch {
    pub entity_index: u32,
    pub list_id: String,
    pub matched_entry: String,
    pub match_score: f64,
    pub match_type: MatchType,
}

KYCScoring

Computes customer risk scores for KYC compliance.

ID: compliance/kyc-scoring Modes: Batch, Ring

Example

use rustkernel::compliance::kyc::{KYCScoring, KYCInput};

let kernel = KYCScoring::new();

let result = kernel.execute(KYCInput {
    customer_id: "CUST001".into(),
    transaction_volume: 150000.0,
    transaction_count: 45,
    countries: vec!["US".into(), "UK".into()],
    account_age_days: 365,
    verification_level: VerificationLevel::Enhanced,
}).await?;

println!("Risk score: {:.2}", result.risk_score);
println!("Risk level: {:?}", result.risk_level);

CircularFlowRatio

Detects circular transaction patterns indicative of money laundering.

ID: compliance/circular-flow-ratio Modes: Batch, Ring

The kernel analyzes transaction graphs to find cycles where money flows back to its origin:

A → B → C → A  (circular flow detected)

Output

pub struct CircularFlowOutput {
    /// Detected circular flows
    pub circular_flows: Vec<CircularFlow>,
    /// Overall circular flow ratio
    pub overall_ratio: f64,
}

pub struct CircularFlow {
    /// Accounts in the circular path
    pub path: Vec<String>,
    /// Total amount circulated
    pub amount: f64,
    /// Time span of the cycle
    pub time_span_seconds: u64,
}

FlowReversalPattern

Detects transaction reversals (A→B followed by B→A) that may indicate wash trading, round-tripping, or layering.

ID: compliance/flow-reversal Modes: Batch Throughput: ~80,000 transactions/sec

Configuration

pub struct FlowReversalConfig {
    /// Maximum time window to consider reversals (seconds)
    pub max_window_seconds: u64,        // default: 86400 (24 hours)
    /// Time threshold for suspicious reversals (seconds)
    pub suspicious_window_seconds: u64,  // default: 3600 (1 hour)
    /// Time threshold for critical reversals (seconds)
    pub critical_window_seconds: u64,    // default: 300 (5 minutes)
    /// Minimum amount match ratio (0-1)
    pub min_amount_match_ratio: f64,     // default: 0.9
}

Output

pub struct FlowReversalResult {
    /// Detected reversal pairs
    pub reversals: Vec<FlowReversalPair>,
    /// Total reversal volume
    pub reversal_volume: f64,
    /// Reversal ratio (reversal volume / total volume)
    pub reversal_ratio: f64,
    /// Entities with multiple reversals
    pub repeat_offenders: Vec<(u64, u32)>,
    /// Overall risk score (0-100)
    pub risk_score: f64,
}

pub struct FlowReversalPair {
    pub original_tx_id: u64,
    pub reversal_tx_id: u64,
    pub entity_a: u64,
    pub entity_b: u64,
    pub original_amount: f64,
    pub reversal_amount: f64,
    pub time_delta: u64,
    pub amount_match_ratio: f64,
    pub risk_level: ReversalRiskLevel,  // Normal, Suspicious, High, Critical
}

Example

use rustkernel::compliance::aml::{FlowReversalPattern, FlowReversalConfig};

let result = FlowReversalPattern::compute(&transactions, &FlowReversalConfig {
    max_window_seconds: 86400,
    suspicious_window_seconds: 3600,
    critical_window_seconds: 300,
    min_amount_match_ratio: 0.9,
});

// Find critical reversals
for reversal in &result.reversals {
    if matches!(reversal.risk_level, ReversalRiskLevel::Critical) {
        println!("CRITICAL: {} -> {} reversed in {}s",
            reversal.entity_a, reversal.entity_b, reversal.time_delta);
    }
}

FlowSplitRatio

Detects structuring (smurfing) patterns where transactions are split to avoid reporting thresholds.

ID: compliance/flow-split Modes: Batch Throughput: ~60,000 transactions/sec

Configuration

pub struct FlowSplitConfig {
    /// Reporting threshold to detect structuring around (e.g., $10,000)
    pub reporting_threshold: f64,   // default: 10_000.0 (BSA threshold)
    /// Time window to look for split transactions (seconds)
    pub window_seconds: u64,        // default: 86400 (24 hours)
    /// Minimum number of transactions to constitute a split
    pub min_split_count: usize,     // default: 3
}

Output

pub struct FlowSplitResult {
    /// Detected split patterns
    pub splits: Vec<FlowSplitPattern>,
    /// Entities with structuring patterns
    pub structuring_entities: Vec<u64>,
    /// Total amount in split patterns
    pub split_volume: f64,
    /// Split ratio (split volume / total volume)
    pub split_ratio: f64,
    /// Overall risk score (0-100)
    pub risk_score: f64,
}

pub struct FlowSplitPattern {
    pub source_entity: u64,
    pub dest_entities: Vec<u64>,
    pub transaction_ids: Vec<u64>,
    pub amounts: Vec<f64>,
    pub total_amount: f64,
    pub time_span: u64,
    pub estimated_threshold: f64,
    pub risk_level: SplitRiskLevel,  // Normal, Elevated, High, Critical
}

Example

use rustkernel::compliance::aml::{FlowSplitRatio, FlowSplitConfig};

let result = FlowSplitRatio::compute(&transactions, &FlowSplitConfig {
    reporting_threshold: 10_000.0,  // BSA threshold
    window_seconds: 86400,
    min_split_count: 3,
});

// Find structuring entities
for entity in &result.structuring_entities {
    println!("STRUCTURING ALERT: Entity {} flagged", entity);
}

// Analyze high-risk splits
for split in result.splits.iter().filter(|s|
    matches!(s.risk_level, SplitRiskLevel::High | SplitRiskLevel::Critical)
) {
    println!("Split detected: {} transactions totaling ${:.2}",
        split.transaction_ids.len(), split.total_amount);
}

Ring Mode for Real-Time Compliance

Ring mode enables real-time transaction screening:

use rustkernel::compliance::aml::AMLPatternRing;

let ring = AMLPatternRing::new();

// Process streaming transactions
for tx in transaction_stream {
    // Sub-millisecond screening
    let alert = ring.screen_transaction(tx).await?;

    if alert.risk_score > threshold {
        notify_compliance_team(alert);
    }
}

Integration Patterns

Batch Processing (Daily/Weekly)

// Load all transactions for period
let transactions = load_transactions(start_date, end_date)?;

// Run comprehensive AML analysis
let aml_result = aml_kernel.execute(AMLPatternInput {
    transactions,
    ..Default::default()
}).await?;

// Generate compliance report
generate_sar_report(aml_result)?;

Real-Time Screening

// Screen each transaction before processing
async fn process_transaction(tx: Transaction) -> Result<()> {
    let screening = sanctions_ring.screen(&tx.counterparty).await?;

    if screening.is_match() {
        return Err(TransactionBlocked::Sanctions);
    }

    // Continue with transaction processing
    process_payment(tx).await
}

Regulatory Alignment

These kernels support requirements from:

  • FATF: Financial Action Task Force recommendations
  • BSA/AML: Bank Secrecy Act
  • EU AMLD: EU Anti-Money Laundering Directives
  • OFAC: Office of Foreign Assets Control sanctions

Temporal Analysis

Crate: rustkernel-temporal Kernels: 7 Feature: temporal (included in default features)

Time series analysis kernels for forecasting, anomaly detection, and pattern recognition.

Kernel Overview

KernelIDModesDescription
ARIMAForecasttemporal/arima-forecastBatch, RingAuto-regressive forecasting
ProphetDecompositiontemporal/prophet-decompositionBatchFacebook Prophet-style decomposition
ChangePointDetectiontemporal/change-point-detectionBatch, RingStructural break detection
TimeSeriesAnomalyDetectiontemporal/anomaly-detectionBatch, RingAnomaly scoring
SeasonalDecompositiontemporal/seasonal-decompositionBatchSTL decomposition
TrendExtractiontemporal/trend-extractionBatch, RingTrend component isolation
VolatilityAnalysistemporal/volatility-analysisBatch, RingGARCH/EWMA volatility

Kernel Details

ARIMAForecast

Auto-Regressive Integrated Moving Average forecasting.

ID: temporal/arima-forecast Modes: Batch, Ring

Input

pub struct ARIMAInput {
    /// Time series values
    pub values: Vec<f64>,
    /// AR order (p)
    pub p: u32,
    /// Differencing order (d)
    pub d: u32,
    /// MA order (q)
    pub q: u32,
    /// Forecast horizon
    pub forecast_periods: u32,
}

Output

pub struct ARIMAOutput {
    /// Forecasted values
    pub forecast: Vec<f64>,
    /// Confidence intervals (lower, upper)
    pub confidence_intervals: Vec<(f64, f64)>,
    /// Fitted values
    pub fitted: Vec<f64>,
    /// Model coefficients
    pub coefficients: ARIMACoefficients,
}

Example

use rustkernel::temporal::forecasting::{ARIMAForecast, ARIMAInput};

let kernel = ARIMAForecast::new();

let input = ARIMAInput {
    values: historical_prices,
    p: 2,  // AR(2)
    d: 1,  // First differencing
    q: 1,  // MA(1)
    forecast_periods: 30,
};

let result = kernel.execute(input).await?;

println!("30-day forecast: {:?}", result.forecast);

ChangePointDetection

Detects structural breaks in time series data.

ID: temporal/change-point-detection Modes: Batch, Ring

Input

pub struct ChangePointInput {
    pub values: Vec<f64>,
    /// Detection method
    pub method: ChangePointMethod,
    /// Minimum segment length
    pub min_segment_length: u32,
    /// Penalty factor for number of change points
    pub penalty: f64,
}

pub enum ChangePointMethod {
    PELT,      // Pruned Exact Linear Time
    BinSeg,    // Binary Segmentation
    Window,    // Sliding window
}

Output

pub struct ChangePointOutput {
    /// Indices of detected change points
    pub change_points: Vec<u32>,
    /// Segment statistics
    pub segments: Vec<SegmentStats>,
    /// Overall detection confidence
    pub confidence: f64,
}

VolatilityAnalysis

Estimates and forecasts volatility using GARCH/EWMA models.

ID: temporal/volatility-analysis Modes: Batch, Ring

Example

use rustkernel::temporal::volatility::{VolatilityAnalysis, VolatilityInput};

let kernel = VolatilityAnalysis::new();

let result = kernel.execute(VolatilityInput {
    returns: daily_returns,
    model: VolatilityModel::GARCH { p: 1, q: 1 },
    forecast_periods: 10,
}).await?;

println!("Current volatility: {:.4}", result.current_volatility);
println!("VaR (95%): {:.4}", result.var_95);

SeasonalDecomposition

Decomposes time series into trend, seasonal, and residual components.

ID: temporal/seasonal-decomposition Modes: Batch

Input

pub struct SeasonalDecompInput {
    pub values: Vec<f64>,
    /// Seasonal period (e.g., 12 for monthly, 7 for daily)
    pub period: u32,
    /// Decomposition model
    pub model: DecompModel,
}

pub enum DecompModel {
    Additive,       // y = trend + seasonal + residual
    Multiplicative, // y = trend * seasonal * residual
}

Output

pub struct SeasonalDecompOutput {
    pub trend: Vec<f64>,
    pub seasonal: Vec<f64>,
    pub residual: Vec<f64>,
    /// Seasonal strength measure
    pub seasonal_strength: f64,
}

TimeSeriesAnomalyDetection

Identifies anomalies in time series using multiple detection methods.

ID: temporal/anomaly-detection Modes: Batch, Ring

Example

use rustkernel::temporal::detection::{TimeSeriesAnomalyDetection, AnomalyInput};

let kernel = TimeSeriesAnomalyDetection::new();

let result = kernel.execute(AnomalyInput {
    values: sensor_readings,
    method: AnomalyMethod::Twitter,  // Twitter's anomaly detection
    sensitivity: 0.05,
}).await?;

for anomaly in result.anomalies {
    println!("Anomaly at index {}: value={:.2}, score={:.2}",
        anomaly.index,
        anomaly.value,
        anomaly.score
    );
}

Ring Mode for Streaming

Ring mode enables real-time time series processing:

use rustkernel::temporal::detection::AnomalyDetectionRing;

let ring = AnomalyDetectionRing::new();

// Process streaming data points
for (timestamp, value) in data_stream {
    let result = ring.process_point(timestamp, value).await?;

    if result.is_anomaly {
        alert_system.notify(timestamp, result.anomaly_score);
    }
}

Use Cases

Financial Time Series

  • Stock price forecasting
  • Volatility estimation for options pricing
  • Regime change detection in markets

Operational Monitoring

  • Server metric anomaly detection
  • IoT sensor analysis
  • Capacity planning forecasts

Business Analytics

  • Sales seasonality analysis
  • Demand forecasting
  • Trend identification for KPIs

Risk Analytics

Crate: rustkernel-risk Kernels: 4 Feature: risk (included in default features)

Financial risk calculation kernels for credit risk, market risk, and portfolio analysis.

Kernel Overview

KernelIDModesDescription
CreditRiskScoringrisk/credit-risk-scoringBatch, RingPD/LGD/EAD calculations
MonteCarloVaRrisk/monte-carlo-varBatch, RingValue-at-Risk simulation
PortfolioRiskAggregationrisk/portfolio-risk-aggregationBatch, RingPortfolio-level risk metrics
StressTestingrisk/stress-testingBatchScenario-based stress analysis

Kernel Details

CreditRiskScoring

Calculates Probability of Default (PD), Loss Given Default (LGD), and Exposure at Default (EAD).

ID: risk/credit-risk-scoring Modes: Batch, Ring

Input

pub struct CreditRiskInput {
    /// Borrower information
    pub borrowers: Vec<BorrowerInfo>,
    /// Scoring model to use
    pub model: CreditModel,
    /// Time horizon in months
    pub horizon_months: u32,
}

pub struct BorrowerInfo {
    pub id: String,
    pub credit_score: u32,
    pub debt_to_income: f64,
    pub loan_amount: f64,
    pub collateral_value: Option<f64>,
    pub industry_code: String,
    pub years_in_business: u32,
}

pub enum CreditModel {
    Scorecard,  // Traditional scorecard
    IRB,        // Basel IRB approach
    Merton,     // Structural model
}

Output

pub struct CreditRiskOutput {
    /// Risk metrics per borrower
    pub risk_metrics: Vec<BorrowerRisk>,
    /// Portfolio-level metrics
    pub portfolio_metrics: PortfolioCreditMetrics,
}

pub struct BorrowerRisk {
    pub borrower_id: String,
    pub pd: f64,         // Probability of Default
    pub lgd: f64,        // Loss Given Default
    pub ead: f64,        // Exposure at Default
    pub expected_loss: f64,
    pub risk_weight: f64,  // For RWA calculation
}

Example

use rustkernel::risk::credit::{CreditRiskScoring, CreditRiskInput};

let kernel = CreditRiskScoring::new();

let result = kernel.execute(CreditRiskInput {
    borrowers: vec![
        BorrowerInfo {
            id: "B001".into(),
            credit_score: 720,
            debt_to_income: 0.35,
            loan_amount: 250_000.0,
            collateral_value: Some(300_000.0),
            industry_code: "REAL_ESTATE".into(),
            years_in_business: 5,
        },
    ],
    model: CreditModel::IRB,
    horizon_months: 12,
}).await?;

let risk = &result.risk_metrics[0];
println!("PD: {:.2}%, LGD: {:.2}%, EL: ${:.2}",
    risk.pd * 100.0,
    risk.lgd * 100.0,
    risk.expected_loss
);

MonteCarloVaR

Calculates Value-at-Risk using Monte Carlo simulation.

ID: risk/monte-carlo-var Modes: Batch, Ring Throughput: ~1M simulations/sec

Input

pub struct VaRInput {
    /// Portfolio positions
    pub positions: Vec<Position>,
    /// Number of simulations
    pub n_simulations: u32,
    /// Time horizon in days
    pub horizon_days: u32,
    /// Confidence levels
    pub confidence_levels: Vec<f64>,
    /// Correlation matrix (flattened)
    pub correlations: Vec<f64>,
    /// Volatilities per asset
    pub volatilities: Vec<f64>,
}

pub struct Position {
    pub asset_id: String,
    pub quantity: f64,
    pub current_price: f64,
}

Output

pub struct VaROutput {
    /// VaR at each confidence level
    pub var_values: HashMap<String, f64>,
    /// Expected Shortfall (CVaR)
    pub expected_shortfall: HashMap<String, f64>,
    /// Simulated P&L distribution
    pub pnl_distribution: Vec<f64>,
    /// Component VaR by position
    pub component_var: Vec<(String, f64)>,
}

Example

use rustkernel::risk::market::{MonteCarloVaR, VaRInput};

let kernel = MonteCarloVaR::new();

let result = kernel.execute(VaRInput {
    positions: portfolio_positions,
    n_simulations: 100_000,
    horizon_days: 10,
    confidence_levels: vec![0.95, 0.99],
    correlations: correlation_matrix,
    volatilities: asset_volatilities,
}).await?;

println!("10-day VaR (99%): ${:.2}", result.var_values["0.99"]);
println!("Expected Shortfall (99%): ${:.2}", result.expected_shortfall["0.99"]);

PortfolioRiskAggregation

Aggregates risk across multiple portfolios with diversification effects.

ID: risk/portfolio-risk-aggregation Modes: Batch, Ring

Example

use rustkernel::risk::portfolio::{PortfolioRiskAggregation, AggregationInput};

let kernel = PortfolioRiskAggregation::new();

let result = kernel.execute(AggregationInput {
    portfolio_vars: vec![
        ("Equities".into(), 1_000_000.0),
        ("Fixed Income".into(), 500_000.0),
        ("Commodities".into(), 250_000.0),
    ],
    correlations: correlation_matrix,
    method: AggregationMethod::VarianceCovariance,
}).await?;

println!("Undiversified VaR: ${:.2}", result.undiversified_var);
println!("Diversified VaR: ${:.2}", result.diversified_var);
println!("Diversification benefit: ${:.2}", result.diversification_benefit);

StressTesting

Evaluates portfolio impact under stress scenarios.

ID: risk/stress-testing Modes: Batch

Input

pub struct StressTestInput {
    pub portfolio: Portfolio,
    pub scenarios: Vec<StressScenario>,
}

pub struct StressScenario {
    pub name: String,
    /// Shocks to risk factors
    pub shocks: HashMap<String, f64>,
    pub description: String,
}

Output

pub struct StressTestOutput {
    pub results: Vec<ScenarioResult>,
    pub worst_case: ScenarioResult,
}

pub struct ScenarioResult {
    pub scenario_name: String,
    pub pnl_impact: f64,
    pub pnl_impact_pct: f64,
    pub positions_affected: Vec<PositionImpact>,
}

Ring Mode for Real-Time Risk

Ring mode enables streaming risk calculations:

use rustkernel::risk::market::MonteCarloVaRRing;

let ring = MonteCarloVaRRing::new();

// Real-time position updates
ring.update_position("AAPL", 100, 185.50).await?;
ring.update_position("GOOG", 50, 142.30).await?;

// Query current VaR (sub-millisecond)
let current_var = ring.query_var(0.99).await?;
println!("Current VaR: ${:.2}", current_var);

// Recalculate on market data updates
ring.recalculate().await?;

Regulatory Applications

These kernels support:

  • Basel III/IV: RWA calculation, capital adequacy
  • FRTB: Fundamental Review of the Trading Book
  • CCAR/DFAST: Fed stress testing requirements
  • Solvency II: Insurance capital requirements

Banking

Crate: rustkernel-banking Kernels: 1 Feature: banking

Specialized banking operations kernel for fraud detection.

Kernel Overview

KernelIDModesDescription
FraudPatternMatchbanking/fraud-pattern-matchBatch, RingReal-time fraud detection

Kernel Details

FraudPatternMatch

GPU-accelerated fraud pattern detection using behavioral analysis and rule matching.

ID: banking/fraud-pattern-match Modes: Batch, Ring Throughput: ~500,000 transactions/sec

Input

pub struct FraudPatternInput {
    /// Transactions to analyze
    pub transactions: Vec<Transaction>,
    /// Pattern rules to apply
    pub rules: Vec<FraudRule>,
    /// Historical behavior profiles
    pub profiles: HashMap<String, BehaviorProfile>,
    /// Detection threshold
    pub threshold: f64,
}

pub struct Transaction {
    pub id: String,
    pub account_id: String,
    pub amount: f64,
    pub currency: String,
    pub merchant_category: String,
    pub location: Option<GeoLocation>,
    pub timestamp: u64,
    pub channel: TransactionChannel,
}

pub struct BehaviorProfile {
    pub avg_transaction_amount: f64,
    pub typical_merchants: Vec<String>,
    pub typical_locations: Vec<GeoLocation>,
    pub typical_hours: Vec<u8>,
}

pub enum TransactionChannel {
    CardPresent,
    CardNotPresent,
    ATM,
    Wire,
    ACH,
}

Output

pub struct FraudPatternOutput {
    /// Fraud scores per transaction
    pub scores: Vec<TransactionScore>,
    /// Triggered rules
    pub triggered_rules: Vec<TriggeredRule>,
    /// Recommended actions
    pub actions: Vec<RecommendedAction>,
}

pub struct TransactionScore {
    pub transaction_id: String,
    pub fraud_score: f64,
    pub risk_factors: Vec<RiskFactor>,
    pub recommendation: Recommendation,
}

pub enum Recommendation {
    Approve,
    Review,
    Decline,
    Challenge,  // 3D Secure, OTP, etc.
}

Example

use rustkernel::banking::fraud::{FraudPatternMatch, FraudPatternInput};

let kernel = FraudPatternMatch::new();

let result = kernel.execute(FraudPatternInput {
    transactions: vec![
        Transaction {
            id: "TX001".into(),
            account_id: "ACC123".into(),
            amount: 5000.0,
            currency: "USD".into(),
            merchant_category: "ELECTRONICS".into(),
            location: Some(GeoLocation { lat: 40.7128, lon: -74.0060 }),
            timestamp: 1699000000,
            channel: TransactionChannel::CardNotPresent,
        },
    ],
    rules: default_rules(),
    profiles: customer_profiles,
    threshold: 0.7,
}).await?;

for score in result.scores {
    if score.fraud_score > 0.7 {
        println!("High risk: {} - score {:.2}",
            score.transaction_id,
            score.fraud_score
        );
        for factor in score.risk_factors {
            println!("  - {:?}", factor);
        }
    }
}

Detection Methods

Behavioral Analysis

Compares transactions against established customer behavior:

  • Amount deviation: Transaction size vs historical average
  • Location deviation: Geographic distance from typical locations
  • Time deviation: Transaction time vs typical activity hours
  • Merchant deviation: New merchant category or type

Rule-Based Detection

Configurable rules for known fraud patterns:

pub struct FraudRule {
    pub id: String,
    pub name: String,
    pub conditions: Vec<RuleCondition>,
    pub score_impact: f64,
    pub enabled: bool,
}

pub enum RuleCondition {
    AmountGreaterThan(f64),
    VelocityExceeds { count: u32, window_seconds: u64 },
    LocationMismatch { max_distance_km: f64 },
    NewMerchant,
    HighRiskCountry(Vec<String>),
    CardNotPresentHighValue,
}

Velocity Checks

Detects rapid transaction patterns:

  • Multiple transactions in short time
  • Multiple cards on same device
  • Multiple devices for same card

Ring Mode for Real-Time Scoring

Ring mode enables sub-millisecond fraud scoring:

use rustkernel::banking::fraud::FraudPatternRing;

let ring = FraudPatternRing::new();

// Pre-load customer profiles
ring.load_profiles(profiles).await?;

// Score transactions in real-time
async fn score_transaction(tx: Transaction) -> FraudDecision {
    let score = ring.score(tx).await?;

    match score.fraud_score {
        s if s < 0.3 => FraudDecision::Approve,
        s if s < 0.7 => FraudDecision::Review,
        _ => FraudDecision::Decline,
    }
}

Integration Patterns

Authorization Flow

// In payment authorization path
async fn authorize(tx: Transaction) -> AuthResult {
    // 1. Real-time fraud scoring (< 100ms)
    let fraud_result = fraud_ring.score(tx.clone()).await?;

    if fraud_result.recommendation == Recommendation::Decline {
        return AuthResult::Declined("Fraud risk");
    }

    if fraud_result.recommendation == Recommendation::Challenge {
        return AuthResult::Challenge3DS;
    }

    // 2. Continue with authorization
    process_authorization(tx).await
}

Batch Analysis

// Daily fraud pattern review
async fn daily_fraud_review() {
    let transactions = load_day_transactions().await?;

    let result = fraud_kernel.execute(FraudPatternInput {
        transactions,
        rules: all_rules(),
        profiles: all_profiles(),
        threshold: 0.5,  // Lower threshold for review
    }).await?;

    // Generate suspicious activity report
    generate_sar_report(result.scores.filter(|s| s.fraud_score > 0.5));
}

Performance Considerations

  1. Profile caching: Keep frequently accessed profiles in GPU memory
  2. Rule optimization: Order rules by selectivity (most filtering first)
  3. Batch when possible: Process multiple transactions per GPU call
  4. Async patterns: Don’t block authorization on slow operations

Behavioral Analytics

Crate: rustkernel-behavioral Kernels: 6 Feature: behavioral

Behavioral profiling, forensic analysis, and event correlation kernels.

Kernel Overview

KernelIDModesDescription
BehavioralProfilingbehavioral/profilingBatch, RingBuild user behavior profiles
AnomalyProfilingbehavioral/anomaly-profilingBatch, RingDetect profile deviations
FraudSignatureDetectionbehavioral/fraud-signatureBatch, RingMatch known fraud patterns
CausalGraphConstructionbehavioral/causal-graphBatchBuild causal relationship graphs
ForensicQueryExecutionbehavioral/forensic-queryBatch, RingComplex forensic queries
EventCorrelationKernelbehavioral/event-correlationBatch, RingCorrelate events across sources

Kernel Details

BehavioralProfiling

Constructs behavioral profiles from historical activity data.

ID: behavioral/profiling Modes: Batch, Ring

Input

pub struct ProfilingInput {
    pub entity_id: String,
    pub events: Vec<BehaviorEvent>,
    pub profile_type: ProfileType,
    pub time_window_days: u32,
}

pub struct BehaviorEvent {
    pub timestamp: u64,
    pub event_type: String,
    pub attributes: HashMap<String, String>,
    pub numeric_values: HashMap<String, f64>,
}

pub enum ProfileType {
    User,
    Account,
    Device,
    Session,
}

Output

pub struct ProfilingOutput {
    pub profile: BehaviorProfile,
    pub confidence: f64,
    pub data_quality: DataQuality,
}

pub struct BehaviorProfile {
    pub entity_id: String,
    pub typical_patterns: Vec<Pattern>,
    pub statistics: ProfileStatistics,
    pub risk_indicators: Vec<RiskIndicator>,
}

EventCorrelationKernel

Correlates events across multiple data sources to identify related activities.

ID: behavioral/event-correlation Modes: Batch, Ring

Example

use rustkernel::behavioral::correlation::{EventCorrelationKernel, CorrelationInput};

let kernel = EventCorrelationKernel::new();

let result = kernel.execute(CorrelationInput {
    events: vec![
        Event { source: "auth", type_: "login_failure", entity: "user123", ts: 1000 },
        Event { source: "auth", type_: "login_success", entity: "user123", ts: 1005 },
        Event { source: "api", type_: "data_export", entity: "user123", ts: 1010 },
    ],
    correlation_window_seconds: 60,
    correlation_rules: default_rules(),
}).await?;

for chain in result.correlated_chains {
    println!("Attack chain detected:");
    for event in chain.events {
        println!("  {} -> {}", event.source, event.type_);
    }
}

CausalGraphConstruction

Builds causal relationship graphs from event sequences.

ID: behavioral/causal-graph Modes: Batch

Output

pub struct CausalGraphOutput {
    pub nodes: Vec<CausalNode>,
    pub edges: Vec<CausalEdge>,
    pub root_causes: Vec<String>,
    pub impact_paths: Vec<ImpactPath>,
}

pub struct CausalEdge {
    pub from: String,
    pub to: String,
    pub strength: f64,
    pub lag_seconds: u64,
}

Use Cases

Security Operations

  • Detect account takeover attempts
  • Identify insider threats
  • Correlate security events across systems

Fraud Investigation

  • Build fraud case timelines
  • Identify related accounts
  • Trace fund flows across entities

User Analytics

  • Understand user journeys
  • Predict churn risk
  • Personalize experiences

Order Matching

Crate: rustkernel-orderbook Kernels: 1 Feature: orderbook

High-performance order book matching engine for trading systems.

Kernel Overview

KernelIDModesDescription
OrderMatchingEngineorderbook/matching-engineBatch, RingGPU-accelerated order matching

Kernel Details

OrderMatchingEngine

Ultra-low latency order matching with price-time priority.

ID: orderbook/matching-engine Modes: Batch, Ring Latency: <1μs per order (Ring mode)

Input

pub struct OrderInput {
    pub orders: Vec<Order>,
    pub symbol: String,
}

pub struct Order {
    pub id: String,
    pub side: Side,
    pub price: f64,
    pub quantity: u64,
    pub order_type: OrderType,
    pub time_in_force: TimeInForce,
    pub timestamp: u64,
}

pub enum Side {
    Buy,
    Sell,
}

pub enum OrderType {
    Limit,
    Market,
    StopLimit { trigger_price: f64 },
    IcebergLimit { display_qty: u64 },
}

pub enum TimeInForce {
    GTC,  // Good Till Cancelled
    IOC,  // Immediate Or Cancel
    FOK,  // Fill Or Kill
    GTD { expiry: u64 },  // Good Till Date
}

Output

pub struct OrderOutput {
    pub executions: Vec<Execution>,
    pub book_state: BookState,
    pub statistics: MatchingStatistics,
}

pub struct Execution {
    pub execution_id: String,
    pub buy_order_id: String,
    pub sell_order_id: String,
    pub price: f64,
    pub quantity: u64,
    pub timestamp: u64,
}

pub struct BookState {
    pub bids: Vec<PriceLevel>,
    pub asks: Vec<PriceLevel>,
    pub last_trade_price: f64,
    pub last_trade_quantity: u64,
}

Example

use rustkernel::orderbook::{OrderMatchingEngine, OrderInput, Order, Side, OrderType};

let kernel = OrderMatchingEngine::new();

let result = kernel.execute(OrderInput {
    orders: vec![
        Order {
            id: "O1".into(),
            side: Side::Buy,
            price: 100.50,
            quantity: 1000,
            order_type: OrderType::Limit,
            time_in_force: TimeInForce::GTC,
            timestamp: 1699000000,
        },
        Order {
            id: "O2".into(),
            side: Side::Sell,
            price: 100.50,
            quantity: 500,
            order_type: OrderType::Limit,
            time_in_force: TimeInForce::GTC,
            timestamp: 1699000001,
        },
    ],
    symbol: "AAPL".into(),
}).await?;

for exec in result.executions {
    println!("Execution: {} shares @ ${:.2}",
        exec.quantity,
        exec.price
    );
}

Ring Mode for Live Trading

Ring mode maintains order book state on GPU for sub-microsecond matching:

use rustkernel::orderbook::OrderMatchingRing;

let ring = OrderMatchingRing::new("AAPL");

// Process incoming orders
async fn process_order(order: Order) -> Vec<Execution> {
    match order.order_type {
        OrderType::Limit => ring.add_limit_order(order).await?,
        OrderType::Market => ring.add_market_order(order).await?,
        _ => unimplemented!(),
    }
}

// Cancel order
ring.cancel_order("O123").await?;

// Query book state
let book = ring.get_book_snapshot().await?;
println!("Best bid: ${:.2}", book.bids[0].price);
println!("Best ask: ${:.2}", book.asks[0].price);

Matching Rules

Price-Time Priority

Orders are matched following price-time priority:

  1. Best price first (highest bid, lowest ask)
  2. Earlier orders at same price matched first

Order Types

TypeBehavior
LimitRests on book until filled or cancelled
MarketExecutes immediately at best available
Stop-LimitConverts to limit when trigger price hit
IcebergOnly displays partial quantity

Time in Force

TIFBehavior
GTCRemains until filled or cancelled
IOCFill available, cancel remainder
FOKFill entire quantity or reject
GTDExpires at specified time

Performance Characteristics

  • Throughput: >1M orders/sec (batch)
  • Latency: <1μs per order (ring)
  • Book depth: Unlimited price levels
  • Symbols: One ring per symbol

Integration Notes

For production trading systems:

  1. Sequencer: Orders must be sequenced before matching
  2. Persistence: Log all orders and executions
  3. Risk checks: Pre-trade risk should precede matching
  4. Market data: Publish book updates after each match

Process Intelligence

Crate: rustkernel-procint Kernels: 7 Feature: procint

Process mining and analysis kernels for business process optimization.

Kernel Overview

KernelIDModesDescription
DFGConstructionprocint/dfg-constructionBatch, RingBuild Directly-Follows Graphs
PartialOrderAnalysisprocint/partial-order-analysisBatchAnalyze process concurrency
ConformanceCheckingprocint/conformance-checkingBatch, RingCheck process compliance
OCPMPatternMatchingprocint/ocpm-pattern-matchingBatchObject-Centric Process Mining
NextActivityPredictionprocint/next-activity-predictionBatchPredict next activity in process
EventLogImputationprocint/event-log-imputationBatchHandle missing events in logs
DigitalTwinprocint/digital-twinBatchProcess simulation for what-if analysis

Kernel Details

DFGConstruction

Constructs Directly-Follows Graphs from event logs.

ID: procint/dfg-construction Modes: Batch, Ring

Input

pub struct DFGInput {
    /// Event log entries
    pub events: Vec<ProcessEvent>,
    /// Minimum edge frequency threshold
    pub min_frequency: u32,
}

pub struct ProcessEvent {
    pub case_id: String,
    pub activity: String,
    pub timestamp: u64,
    pub resource: Option<String>,
    pub attributes: HashMap<String, String>,
}

Output

pub struct DFGOutput {
    /// Activities (nodes)
    pub activities: Vec<Activity>,
    /// Edges with frequencies
    pub edges: Vec<DFGEdge>,
    /// Start activities
    pub start_activities: Vec<String>,
    /// End activities
    pub end_activities: Vec<String>,
}

pub struct DFGEdge {
    pub from: String,
    pub to: String,
    pub frequency: u32,
    pub avg_duration_seconds: f64,
}

Example

use rustkernel::procint::dfg::{DFGConstruction, DFGInput};

let kernel = DFGConstruction::new();

let result = kernel.execute(DFGInput {
    events: vec![
        ProcessEvent { case_id: "C1".into(), activity: "Submit".into(), timestamp: 1000, .. },
        ProcessEvent { case_id: "C1".into(), activity: "Review".into(), timestamp: 2000, .. },
        ProcessEvent { case_id: "C1".into(), activity: "Approve".into(), timestamp: 3000, .. },
    ],
    min_frequency: 1,
}).await?;

for edge in result.edges {
    println!("{} -> {} (freq: {}, avg: {:.1}s)",
        edge.from,
        edge.to,
        edge.frequency,
        edge.avg_duration_seconds
    );
}

ConformanceChecking

Checks if process executions conform to a reference model.

ID: procint/conformance-checking Modes: Batch, Ring

Input

pub struct ConformanceInput {
    pub events: Vec<ProcessEvent>,
    pub reference_model: ProcessModel,
    pub tolerance: ConformanceTolerance,
}

pub struct ProcessModel {
    pub activities: Vec<String>,
    pub transitions: Vec<(String, String)>,
    pub start: String,
    pub end: String,
}

Output

pub struct ConformanceOutput {
    /// Fitness score (0.0 - 1.0)
    pub fitness: f64,
    /// Precision score
    pub precision: f64,
    /// Deviations found
    pub deviations: Vec<Deviation>,
    /// Per-case conformance
    pub case_conformance: HashMap<String, f64>,
}

pub struct Deviation {
    pub case_id: String,
    pub deviation_type: DeviationType,
    pub activity: String,
    pub description: String,
}

OCPMPatternMatching

Object-Centric Process Mining for complex, multi-object processes.

ID: procint/ocpm-pattern-matching Modes: Batch

Example

use rustkernel::procint::ocpm::{OCPMPatternMatching, OCPMInput};

let kernel = OCPMPatternMatching::new();

let result = kernel.execute(OCPMInput {
    events: order_events,
    object_types: vec!["Order".into(), "Item".into(), "Delivery".into()],
    patterns: vec![
        Pattern::BottleneckDetection,
        Pattern::ObjectLifecycle,
        Pattern::InteractionAnalysis,
    ],
}).await?;

for bottleneck in result.bottlenecks {
    println!("Bottleneck: {} (avg wait: {:.1}h)",
        bottleneck.activity,
        bottleneck.avg_wait_hours
    );
}

NextActivityPrediction

Predicts the next activity in a process using sequence models.

ID: procint/next-activity-prediction Modes: Batch

Example

use rustkernel::procint::prediction::{NextActivityPrediction, PredictionConfig};

let kernel = NextActivityPrediction::new();

let config = PredictionConfig {
    sequence_length: 10,
    top_k: 3,
};

let predictions = kernel.predict(&event_sequence, &config)?;
for (activity, prob) in predictions {
    println!("{}: {:.1}%", activity, prob * 100.0);
}

EventLogImputation

Handles missing events, incorrect timestamps, and duplicates in event logs.

ID: procint/event-log-imputation Modes: Batch

Example

use rustkernel::procint::imputation::{EventLogImputation, ImputationConfig};

let kernel = EventLogImputation::new();

let config = ImputationConfig {
    detect_missing: true,
    fix_timestamps: true,
    remove_duplicates: true,
};

let cleaned_log = kernel.impute(&raw_events, &config)?;
println!("Fixed {} issues", cleaned_log.issues_fixed);

DigitalTwin

Process simulation for what-if analysis and optimization using Monte Carlo methods.

ID: procint/digital-twin Modes: Batch

Example

use rustkernel::procint::simulation::{DigitalTwin, ProcessModel, SimulationConfig};

let kernel = DigitalTwin::new();

let config = SimulationConfig {
    num_simulations: 1000,
    time_horizon_hours: 24.0,
    seed: Some(42),
};

let result = kernel.simulate(&process_model, &config)?;
println!("Avg completion time: {:.2}h", result.avg_completion_time_hours);
println!("Bottleneck: {}", result.bottlenecks[0].activity);

Use Cases

Process Discovery

  • Automatically discover process models from logs
  • Identify common paths and variants
  • Measure process performance

Compliance Monitoring

  • Ensure processes follow defined procedures
  • Detect deviations in real-time
  • Generate audit trails

Process Optimization

  • Identify bottlenecks using DigitalTwin simulation
  • Analyze resource utilization
  • Run what-if scenarios for capacity planning

Predictive Analytics

  • Predict next activities for proactive intervention
  • Clean and impute event logs for better analysis
  • Estimate remaining process time

Clearing

Crate: rustkernel-clearing Kernels: 5 Feature: clearing

Post-trade clearing, settlement, and netting kernels for financial market infrastructure.

Kernel Overview

KernelIDModesDescription
ClearingValidationclearing/validationBatch, RingValidate clearing eligibility
DVPMatchingclearing/dvp-matchingBatch, RingDelivery vs Payment matching
NettingCalculationclearing/netting-calculationBatch, RingMultilateral netting
SettlementExecutionclearing/settlement-executionBatchExecute settlement instructions
ZeroBalanceFrequencyclearing/zero-balance-frequencyBatch, RingOptimize netting efficiency

Kernel Details

NettingCalculation

Calculates multilateral netting positions to minimize settlement volume.

ID: clearing/netting-calculation Modes: Batch, Ring

Input

pub struct NettingInput {
    /// Trades to net
    pub trades: Vec<Trade>,
    /// Netting set definition
    pub netting_set: NettingSet,
    /// Currency for settlement
    pub settlement_currency: String,
}

pub struct Trade {
    pub id: String,
    pub buyer: String,
    pub seller: String,
    pub instrument: String,
    pub quantity: i64,
    pub price: f64,
    pub trade_date: u64,
    pub settlement_date: u64,
}

pub struct NettingSet {
    pub participants: Vec<String>,
    pub netting_type: NettingType,
}

pub enum NettingType {
    Bilateral,
    Multilateral,
    CCP,  // Central Counterparty
}

Output

pub struct NettingOutput {
    /// Net positions per participant
    pub positions: Vec<NetPosition>,
    /// Settlement instructions
    pub instructions: Vec<SettlementInstruction>,
    /// Netting statistics
    pub statistics: NettingStatistics,
}

pub struct NetPosition {
    pub participant: String,
    pub instrument: String,
    pub net_quantity: i64,
    pub net_value: f64,
}

pub struct NettingStatistics {
    pub gross_value: f64,
    pub net_value: f64,
    pub netting_efficiency: f64,  // (1 - net/gross) * 100
    pub trades_netted: u32,
}

Example

use rustkernel::clearing::netting::{NettingCalculation, NettingInput};

let kernel = NettingCalculation::new();

let result = kernel.execute(NettingInput {
    trades: vec![
        Trade { buyer: "A".into(), seller: "B".into(), quantity: 100, price: 50.0, .. },
        Trade { buyer: "B".into(), seller: "A".into(), quantity: 80, price: 51.0, .. },
        Trade { buyer: "A".into(), seller: "C".into(), quantity: 50, price: 49.0, .. },
    ],
    netting_set: NettingSet {
        participants: vec!["A".into(), "B".into(), "C".into()],
        netting_type: NettingType::Multilateral,
    },
    settlement_currency: "USD".into(),
}).await?;

println!("Netting efficiency: {:.1}%", result.statistics.netting_efficiency);
for pos in result.positions {
    println!("{}: {} units, ${:.2}", pos.participant, pos.net_quantity, pos.net_value);
}

DVPMatching

Matches Delivery versus Payment instructions to ensure atomic settlement.

ID: clearing/dvp-matching Modes: Batch, Ring

Output

pub struct DVPMatchOutput {
    pub matched_pairs: Vec<MatchedPair>,
    pub unmatched_deliveries: Vec<String>,
    pub unmatched_payments: Vec<String>,
    pub match_rate: f64,
}

SettlementExecution

Executes settlement instructions with fail handling.

ID: clearing/settlement-execution Modes: Batch

Example

use rustkernel::clearing::settlement::{SettlementExecution, SettlementInput};

let kernel = SettlementExecution::new();

let result = kernel.execute(SettlementInput {
    instructions: settlement_instructions,
    available_securities: securities_inventory,
    available_cash: cash_positions,
    fail_tolerance: FailTolerance::PartialAllowed,
}).await?;

println!("Settled: {}/{}", result.settled_count, result.total_count);
for fail in result.fails {
    println!("Failed: {} - {}", fail.instruction_id, fail.reason);
}

Use Cases

  • CCP clearing: Central counterparty netting and novation
  • Securities settlement: DVP settlement for equities, bonds
  • FX settlement: CLS-style payment-versus-payment
  • Derivatives clearing: Margin calculation and variation margin

Treasury

Crate: rustkernel-treasury Kernels: 5 Feature: treasury

Treasury management kernels for cash flow, FX hedging, and liquidity optimization.

Kernel Overview

KernelIDModesDescription
CashFlowForecastingtreasury/cash-flow-forecastingBatch, RingPredict future cash flows
CollateralOptimizationtreasury/collateral-optimizationBatchOptimize collateral allocation
FXHedgingtreasury/fx-hedgingBatch, RingFX exposure and hedging
InterestRateRisktreasury/interest-rate-riskBatch, RingDuration, convexity, DV01
LiquidityOptimizationtreasury/liquidity-optimizationBatchLCR/NSFR optimization

Kernel Details

CashFlowForecasting

Forecasts cash positions across accounts and time horizons.

ID: treasury/cash-flow-forecasting Modes: Batch, Ring

Input

pub struct CashFlowInput {
    /// Current positions
    pub positions: Vec<CashPosition>,
    /// Expected inflows
    pub inflows: Vec<CashFlow>,
    /// Expected outflows
    pub outflows: Vec<CashFlow>,
    /// Forecast horizon in days
    pub horizon_days: u32,
}

pub struct CashPosition {
    pub account_id: String,
    pub currency: String,
    pub balance: f64,
}

pub struct CashFlow {
    pub account_id: String,
    pub amount: f64,
    pub currency: String,
    pub expected_date: u64,
    pub probability: f64,
    pub category: FlowCategory,
}

Output

pub struct CashFlowOutput {
    /// Daily forecast per account/currency
    pub daily_forecast: Vec<DailyPosition>,
    /// Minimum/maximum projections
    pub min_projection: Vec<f64>,
    pub max_projection: Vec<f64>,
    /// Shortfall alerts
    pub shortfall_alerts: Vec<ShortfallAlert>,
}

FXHedging

Analyzes FX exposures and recommends hedging strategies.

ID: treasury/fx-hedging Modes: Batch, Ring

Example

use rustkernel::treasury::fx::{FXHedging, FXHedgingInput};

let kernel = FXHedging::new();

let result = kernel.execute(FXHedgingInput {
    exposures: vec![
        FXExposure {
            currency_pair: "EUR/USD".into(),
            amount: 1_000_000.0,
            direction: ExposureDirection::Long,
            maturity_days: 90,
        },
    ],
    hedging_instruments: available_instruments,
    risk_tolerance: RiskTolerance::Moderate,
    hedge_ratio_target: 0.80,
}).await?;

for recommendation in result.recommendations {
    println!("Hedge {} with {} {} forward",
        recommendation.exposure,
        recommendation.amount,
        recommendation.instrument
    );
}

InterestRateRisk

Calculates interest rate risk metrics for fixed income portfolios.

ID: treasury/interest-rate-risk Modes: Batch, Ring

Output

pub struct InterestRateRiskOutput {
    /// Modified duration
    pub duration: f64,
    /// Convexity
    pub convexity: f64,
    /// Dollar value of a basis point
    pub dv01: f64,
    /// Key rate durations
    pub key_rate_durations: HashMap<String, f64>,
    /// Scenario analysis
    pub scenario_pnl: HashMap<String, f64>,
}

LiquidityOptimization

Optimizes liquidity positions for regulatory compliance (LCR, NSFR).

ID: treasury/liquidity-optimization Modes: Batch

Example

use rustkernel::treasury::liquidity::{LiquidityOptimization, LiquidityInput};

let kernel = LiquidityOptimization::new();

let result = kernel.execute(LiquidityInput {
    assets: liquid_assets,
    liabilities: funding_sources,
    target_lcr: 1.10,  // 110% target
    target_nsfr: 1.05, // 105% target
    constraints: optimization_constraints,
}).await?;

println!("Current LCR: {:.1}%", result.current_lcr * 100.0);
println!("Optimized LCR: {:.1}%", result.optimized_lcr * 100.0);
for action in result.recommended_actions {
    println!("Action: {}", action.description);
}

Use Cases

  • Cash management: Forecast positions, optimize sweeps
  • FX treasury: Manage currency exposures, hedge programs
  • ALM: Asset-liability management, gap analysis
  • Regulatory: LCR/NSFR compliance, stress testing

Accounting

Crate: rustkernel-accounting Kernels: 9 Feature: accounting

Accounting network generation, reconciliation, and analysis kernels for financial close and audit.

Kernel Overview

Core Kernels (7)

KernelIDModesDescription
ChartOfAccountsMappingaccounting/coa-mappingBatchMap between chart of accounts
JournalTransformationaccounting/journal-transformationBatch, RingTransform journal entries
GLReconciliationaccounting/gl-reconciliationBatch, RingGeneral ledger reconciliation
NetworkAnalysisaccounting/network-analysisBatch, RingIntercompany network analysis
TemporalCorrelationaccounting/temporal-correlationBatchAccount correlation over time
NetworkGenerationaccounting/network-generationBatchGenerate accounting networks
NetworkGenerationRingaccounting/network-generation-ringRingStreaming network generation

Detection Kernels (2)

KernelIDModesDescription
SuspenseAccountDetectionaccounting/suspense-detectionBatchCentrality-based suspense account detection
GaapViolationDetectionaccounting/gaap-violationBatchGAAP prohibited flow pattern detection

Kernel Details

NetworkGeneration

Transforms double-entry journal entries into directed accounting flow networks.

ID: accounting/network-generation Modes: Batch Feature Article: Accounting Network Generation

Input

pub struct NetworkGenerationInput {
    /// Journal entries to process
    pub entries: Vec<JournalEntry>,
    /// Configuration options
    pub config: Option<NetworkGenerationConfig>,
}

pub struct JournalEntry {
    pub id: u64,
    pub date: u64,
    pub posting_date: u64,
    pub document_number: String,
    pub lines: Vec<JournalLine>,
    pub status: JournalStatus,
    pub source_system: String,
    pub description: String,
}

pub struct JournalLine {
    pub line_number: u32,
    pub account_code: String,
    pub debit: f64,
    pub credit: f64,
    pub currency: String,
    pub entity_id: String,
    pub cost_center: Option<String>,
    pub description: String,
}

Output

pub struct NetworkGenerationOutput {
    /// Generated accounting flows
    pub flows: Vec<AccountingFlow>,
    /// Network statistics
    pub stats: NetworkGenerationStats,
}

pub struct AccountingFlow {
    pub flow_id: String,
    pub entry_id: u64,
    pub from_account: String,
    pub to_account: String,
    pub amount: f64,
    pub method: SolvingMethod,
    pub confidence: f64,
    pub from_entity: String,
    pub to_entity: String,
    /// Account classification
    pub from_account_class: Option<AccountClass>,
    pub to_account_class: Option<AccountClass>,
    /// Detected transaction pattern
    pub pattern: Option<TransactionPattern>,
    /// VAT/tax indicators
    pub is_tax_flow: bool,
    pub vat_rate: Option<f64>,
}

Solving Methods

The kernel uses five methods with decreasing confidence:

MethodConfidenceDescription
Method A1.00Trivial 1-to-1 mapping
Method B0.95n-to-n bijective matching
Method C0.85n-to-m partition matching
Method D0.70Account aggregation
Method E0.50Entity decomposition

Example

use rustkernel::accounting::network_generation::{NetworkGeneration, NetworkGenerationInput};

let kernel = NetworkGeneration::new();

let result = kernel.execute(NetworkGenerationInput {
    entries: journal_entries,
    config: Some(NetworkGenerationConfig {
        enable_pattern_matching: true,
        enable_vat_detection: true,
        ..Default::default()
    }),
}).await?;

println!("Generated {} flows", result.flows.len());
println!("Weighted confidence: {:.2}", result.stats.weighted_confidence);

// Analyze flows by pattern
let sales = result.flows.iter()
    .filter(|f| matches!(f.pattern, Some(TransactionPattern::SaleWithVat)))
    .count();
println!("Sales transactions: {}", sales);

GLReconciliation

Reconciles general ledger balances across systems.

ID: accounting/gl-reconciliation Modes: Batch, Ring

Output

pub struct ReconciliationOutput {
    pub matched_pairs: Vec<MatchedPair>,
    pub unmatched: Vec<String>,
    pub exceptions: Vec<ReconciliationException>,
    pub stats: ReconciliationStats,
}

pub struct ReconciliationStats {
    pub total_items: usize,
    pub matched_count: usize,
    pub match_rate: f64,
    pub total_variance: f64,
}

NetworkAnalysis

Analyzes intercompany transaction networks for consolidation.

ID: accounting/network-analysis Modes: Batch, Ring

Example

use rustkernel::accounting::network::{NetworkAnalysis, NetworkAnalysisInput};

let kernel = NetworkAnalysis::new();

let result = kernel.execute(NetworkAnalysisInput {
    transactions: intercompany_transactions,
    entities: group_entities,
    analysis_type: AnalysisType::Elimination,
}).await?;

println!("Elimination entries needed: {}", result.elimination_entries.len());
for entry in result.elimination_entries {
    println!("Eliminate: {} -> {} (${:.2})",
        entry.from_entity,
        entry.to_entity,
        entry.amount
    );
}

TemporalCorrelation

Analyzes correlations between accounts over time to detect anomalies.

ID: accounting/temporal-correlation Modes: Batch

Output

pub struct CorrelationOutput {
    pub correlations: Vec<AccountCorrelation>,
    pub anomalies: Vec<CorrelationAnomaly>,
    pub stats: CorrelationStats,
}

pub struct AccountCorrelation {
    pub account_a: String,
    pub account_b: String,
    pub coefficient: f64,
    pub p_value: f64,
}

SuspenseAccountDetection

Identifies suspense accounts using centrality-based analysis on the account transaction graph.

ID: accounting/suspense-detection Modes: Batch Throughput: ~20,000 accounts/sec

Suspense accounts are detected based on:

  • High centrality: Accounts that connect many other accounts
  • High turnover: Large volume relative to balance
  • Short holding period: Funds don’t stay long
  • Balanced flows: Equal in/out suggests clearing function
  • Zero end balance: Period-end balance near zero
  • Naming patterns: Contains “suspense”, “clearing”, “holding”

Configuration

pub struct SuspenseDetectionConfig {
    /// Minimum betweenness centrality to flag
    pub centrality_threshold: f64,        // default: 0.1
    /// Minimum turnover ratio (turnover/balance)
    pub turnover_ratio_threshold: f64,    // default: 10.0
    /// Maximum average holding period (days)
    pub holding_period_threshold: f64,    // default: 7.0
    /// Minimum balance ratio to consider balanced (0-1)
    pub balance_ratio_threshold: f64,     // default: 0.9
    /// Minimum counterparty count to flag
    pub counterparty_threshold: usize,    // default: 5
    /// Maximum balance to consider "zero"
    pub zero_balance_threshold: f64,      // default: 100.0
}

Output

pub struct SuspenseAccountResult {
    /// Detected suspense account candidates
    pub candidates: Vec<SuspenseAccountCandidate>,
    /// High-risk accounts
    pub high_risk_accounts: Vec<String>,
    /// Total accounts analyzed
    pub accounts_analyzed: usize,
    /// Overall risk score
    pub risk_score: f64,
}

pub struct SuspenseAccountCandidate {
    pub account_code: String,
    pub account_name: String,
    pub suspense_score: f64,           // 0-100
    pub centrality_score: f64,
    pub turnover_volume: f64,
    pub avg_holding_period: f64,
    pub counterparty_count: usize,
    pub balance_ratio: f64,
    pub risk_level: SuspenseRiskLevel, // Low, Medium, High, Critical
    pub indicators: Vec<SuspenseIndicator>,
}

Example

use rustkernel::accounting::detection::{SuspenseAccountDetection, SuspenseDetectionConfig};

let result = SuspenseAccountDetection::detect(&journal_entries, &SuspenseDetectionConfig {
    centrality_threshold: 0.1,
    holding_period_threshold: 7.0,
    ..Default::default()
});

// Review high-risk suspense accounts
for account in &result.high_risk_accounts {
    println!("HIGH RISK: Account {} flagged as suspense", account);
}

// Analyze candidates
for candidate in &result.candidates {
    println!("{}: score={:.1}, centrality={:.3}, indicators={:?}",
        candidate.account_code,
        candidate.suspense_score,
        candidate.centrality_score,
        candidate.indicators);
}

GaapViolationDetection

Detects prohibited transaction patterns that violate GAAP principles.

ID: accounting/gaap-violation Modes: Batch Throughput: ~15,000 entries/sec

Detected violation types:

  • DirectRevenueExpense: Direct transfer from revenue to expense without capital account
  • RevenueInflation: Circular flows that may inflate revenue
  • ImproperAssetExpense: Asset expensed without proper depreciation
  • SuspenseAccountMisuse: Large amounts in suspense accounts
  • ImproperElimination: Incorrect intercompany eliminations
  • ProhibitedRelatedParty: Prohibited related-party transactions

Configuration

pub struct GaapDetectionConfig {
    /// Threshold for suspense account amounts
    pub suspense_amount_threshold: f64,   // default: 10_000.0
    /// Minimum amount for asset-to-expense flag
    pub asset_expense_threshold: f64,     // default: 5_000.0
    /// Minimum circular flow amount
    pub circular_flow_threshold: f64,     // default: 1_000.0
}

Output

pub struct GaapViolationResult {
    /// Detected violations
    pub violations: Vec<GaapViolation>,
    /// Total entries analyzed
    pub entries_analyzed: usize,
    /// Total amount at risk
    pub amount_at_risk: f64,
    /// Overall compliance score (0-100, higher is better)
    pub compliance_score: f64,
    /// Violation counts by type
    pub violation_counts: HashMap<String, usize>,
}

pub struct GaapViolation {
    pub id: String,
    pub violation_type: GaapViolationType,
    pub accounts: Vec<String>,
    pub entry_ids: Vec<u64>,
    pub amount: f64,
    pub description: String,
    pub severity: GaapViolationSeverity,  // Minor, Moderate, Major, Critical
    pub remediation: String,
}

Example

use rustkernel::accounting::detection::{GaapViolationDetection, GaapDetectionConfig};
use std::collections::HashMap;

// Map account codes to types
let mut account_types = HashMap::new();
account_types.insert("SALES_REVENUE".to_string(), AccountType::Revenue);
account_types.insert("SALARIES_EXPENSE".to_string(), AccountType::Expense);
account_types.insert("EQUIPMENT_ASSET".to_string(), AccountType::Asset);

let result = GaapViolationDetection::detect(
    &journal_entries,
    &account_types,
    &GaapDetectionConfig::default()
);

println!("Compliance score: {:.1}%", result.compliance_score);
println!("Amount at risk: ${:.2}", result.amount_at_risk);

// Review violations by severity
for violation in result.violations.iter()
    .filter(|v| matches!(v.severity, GaapViolationSeverity::Major | GaapViolationSeverity::Critical))
{
    println!("{}: {} - {}",
        violation.id,
        violation.description,
        violation.remediation);
}

Enhanced Features

Account Classification

Automatic classification of accounts:

  • Asset (1xxx): Cash, receivables, inventory
  • Liability (2xxx): Payables, debt, accruals
  • Equity (3xxx): Capital, retained earnings
  • Revenue (4xxx): Sales, service income
  • COGS (5xxx): Cost of goods sold
  • Expense (6xxx-7xxx): Operating expenses
  • Tax: VAT, GST, withholding tax

VAT Detection

Automatic detection of VAT patterns:

  • EU standard rates (19-25%)
  • Reduced rates (5-10%)
  • GST/HST (Canada, Australia)

Transaction Patterns

Recognition of common patterns:

  • SimpleSale, SaleWithVat
  • SimplePurchase, PurchaseWithVat
  • Payment, Receipt
  • Payroll, Depreciation
  • Intercompany, CostAllocation

Use Cases

  • Financial close: Automate journal analysis
  • Audit: Trace value flows, detect anomalies
  • Consolidation: Identify elimination entries
  • Compliance: VAT reporting, intercompany analysis

Payments

Crate: rustkernel-payments Kernels: 2 Feature: payments

Payment processing and flow analysis kernels for payment systems.

Kernel Overview

KernelIDModesDescription
PaymentProcessingpayments/processingBatch, RingProcess payment instructions
FlowAnalysispayments/flow-analysisBatch, RingAnalyze payment flows

Kernel Details

PaymentProcessing

Processes and validates payment instructions.

ID: payments/processing Modes: Batch, Ring

Input

pub struct PaymentProcessingInput {
    pub payments: Vec<Payment>,
    pub validation_rules: Vec<ValidationRule>,
    pub processing_window: ProcessingWindow,
}

pub struct Payment {
    pub id: String,
    pub sender: PartyInfo,
    pub receiver: PartyInfo,
    pub amount: f64,
    pub currency: String,
    pub payment_type: PaymentType,
    pub value_date: u64,
    pub reference: String,
    pub remittance_info: Option<String>,
}

pub enum PaymentType {
    Wire,
    ACH,
    SEPA,
    SWIFT,
    RTP,  // Real-Time Payments
    FedNow,
}

Output

pub struct PaymentProcessingOutput {
    pub processed: Vec<ProcessedPayment>,
    pub rejected: Vec<RejectedPayment>,
    pub pending: Vec<String>,
    pub statistics: ProcessingStatistics,
}

pub struct ProcessedPayment {
    pub id: String,
    pub status: PaymentStatus,
    pub processing_time_us: u64,
    pub fees: f64,
}

pub struct RejectedPayment {
    pub id: String,
    pub reason: RejectionReason,
    pub failed_rules: Vec<String>,
}

Example

use rustkernel::payments::processing::{PaymentProcessing, PaymentProcessingInput};

let kernel = PaymentProcessing::new();

let result = kernel.execute(PaymentProcessingInput {
    payments: incoming_payments,
    validation_rules: default_rules(),
    processing_window: ProcessingWindow::Same_Day,
}).await?;

println!("Processed: {}", result.processed.len());
println!("Rejected: {}", result.rejected.len());

for rejection in result.rejected {
    println!("Rejected {}: {:?}", rejection.id, rejection.reason);
}

FlowAnalysis

Analyzes payment flows for patterns, anomalies, and liquidity insights.

ID: payments/flow-analysis Modes: Batch, Ring

Input

pub struct FlowAnalysisInput {
    pub payments: Vec<Payment>,
    pub analysis_type: FlowAnalysisType,
    pub time_window: TimeWindow,
}

pub enum FlowAnalysisType {
    VolumeAnalysis,
    NetworkAnalysis,
    AnomalyDetection,
    LiquidityForecasting,
}

Output

pub struct FlowAnalysisOutput {
    /// Flow statistics by counterparty
    pub counterparty_flows: Vec<CounterpartyFlow>,
    /// Detected anomalies
    pub anomalies: Vec<FlowAnomaly>,
    /// Network metrics
    pub network_metrics: NetworkMetrics,
    /// Liquidity forecast
    pub liquidity_forecast: Option<LiquidityForecast>,
}

pub struct CounterpartyFlow {
    pub counterparty: String,
    pub inflow_volume: f64,
    pub outflow_volume: f64,
    pub net_flow: f64,
    pub transaction_count: u32,
}

Example

use rustkernel::payments::flow::{FlowAnalysis, FlowAnalysisInput};

let kernel = FlowAnalysis::new();

let result = kernel.execute(FlowAnalysisInput {
    payments: daily_payments,
    analysis_type: FlowAnalysisType::NetworkAnalysis,
    time_window: TimeWindow::Days(30),
}).await?;

// Top counterparties by volume
for flow in result.counterparty_flows.iter().take(10) {
    println!("{}: in=${:.0}, out=${:.0}, net=${:.0}",
        flow.counterparty,
        flow.inflow_volume,
        flow.outflow_volume,
        flow.net_flow
    );
}

Ring Mode for Real-Time Processing

use rustkernel::payments::processing::PaymentProcessingRing;

let ring = PaymentProcessingRing::new();

// Process payments as they arrive
for payment in payment_stream {
    let result = ring.process(payment).await?;

    match result.status {
        PaymentStatus::Processed => send_confirmation(result),
        PaymentStatus::Rejected(reason) => notify_sender(reason),
        PaymentStatus::Pending => queue_for_review(result),
    }
}

Use Cases

  • Payment hubs: Central payment processing
  • Real-time payments: Instant payment validation
  • Correspondent banking: SWIFT message processing
  • Treasury: Cash position forecasting

Audit

Crate: rustkernel-audit Kernels: 2 Feature: audit

Financial audit and forensic analysis kernels.

Kernel Overview

KernelIDModesDescription
FeatureExtractionaudit/feature-extractionBatch, RingExtract audit-relevant features
HypergraphConstructionaudit/hypergraph-constructionBatchBuild multi-entity relationship graphs

Kernel Details

FeatureExtraction

Extracts features from financial data for audit analysis and anomaly detection.

ID: audit/feature-extraction Modes: Batch, Ring

Input

pub struct FeatureExtractionInput {
    pub transactions: Vec<AuditTransaction>,
    pub feature_config: FeatureConfig,
    pub entity_context: Option<EntityContext>,
}

pub struct AuditTransaction {
    pub id: String,
    pub timestamp: u64,
    pub amount: f64,
    pub account_from: String,
    pub account_to: String,
    pub entity_id: String,
    pub user_id: String,
    pub transaction_type: String,
    pub attributes: HashMap<String, String>,
}

pub struct FeatureConfig {
    pub temporal_features: bool,
    pub behavioral_features: bool,
    pub network_features: bool,
    pub benford_analysis: bool,
}

Output

pub struct FeatureExtractionOutput {
    /// Extracted features per transaction
    pub features: Vec<TransactionFeatures>,
    /// Aggregate features
    pub aggregate_features: AggregateFeatures,
    /// Benford's Law analysis
    pub benford_results: Option<BenfordResults>,
}

pub struct TransactionFeatures {
    pub transaction_id: String,
    /// Temporal features
    pub hour_of_day: u8,
    pub day_of_week: u8,
    pub is_weekend: bool,
    pub is_month_end: bool,
    /// Amount features
    pub amount_log: f64,
    pub round_amount_flag: bool,
    pub just_below_threshold: bool,
    /// Behavioral features
    pub velocity_1h: u32,
    pub velocity_24h: u32,
    pub deviation_from_mean: f64,
}

pub struct BenfordResults {
    pub first_digit_distribution: Vec<f64>,
    pub expected_distribution: Vec<f64>,
    pub chi_square_statistic: f64,
    pub p_value: f64,
    pub conformity_score: f64,
}

Example

use rustkernel::audit::feature_extraction::{FeatureExtraction, FeatureExtractionInput};

let kernel = FeatureExtraction::new();

let result = kernel.execute(FeatureExtractionInput {
    transactions: journal_entries,
    feature_config: FeatureConfig {
        temporal_features: true,
        behavioral_features: true,
        network_features: true,
        benford_analysis: true,
    },
    entity_context: None,
}).await?;

// Check Benford's Law conformity
if let Some(benford) = result.benford_results {
    if benford.conformity_score < 0.8 {
        println!("Warning: Data may not conform to Benford's Law");
        println!("Conformity: {:.1}%", benford.conformity_score * 100.0);
    }
}

// Find suspicious transactions
for feat in result.features {
    if feat.just_below_threshold && feat.is_weekend {
        println!("Suspicious: {} - just below threshold on weekend",
            feat.transaction_id
        );
    }
}

HypergraphConstruction

Builds hypergraphs representing complex multi-entity relationships.

ID: audit/hypergraph-construction Modes: Batch

A hypergraph allows edges to connect more than two nodes, capturing complex relationships like:

  • A transaction involving multiple parties
  • A document signed by multiple entities
  • An event affecting multiple accounts

Input

pub struct HypergraphInput {
    pub events: Vec<AuditEvent>,
    pub entity_types: Vec<EntityType>,
    pub relationship_rules: Vec<RelationshipRule>,
}

pub struct AuditEvent {
    pub id: String,
    pub event_type: String,
    pub entities: Vec<EntityReference>,
    pub timestamp: u64,
    pub attributes: HashMap<String, String>,
}

pub struct EntityReference {
    pub entity_id: String,
    pub entity_type: EntityType,
    pub role: String,  // e.g., "sender", "approver", "beneficiary"
}

Output

pub struct HypergraphOutput {
    pub nodes: Vec<HypergraphNode>,
    pub hyperedges: Vec<Hyperedge>,
    pub metrics: HypergraphMetrics,
}

pub struct Hyperedge {
    pub id: String,
    pub nodes: Vec<String>,
    pub edge_type: String,
    pub weight: f64,
    pub attributes: HashMap<String, String>,
}

pub struct HypergraphMetrics {
    pub node_count: usize,
    pub hyperedge_count: usize,
    pub avg_hyperedge_size: f64,
    pub max_hyperedge_size: usize,
    pub connected_components: usize,
}

Example

use rustkernel::audit::hypergraph::{HypergraphConstruction, HypergraphInput};

let kernel = HypergraphConstruction::new();

let result = kernel.execute(HypergraphInput {
    events: audit_events,
    entity_types: vec![
        EntityType::User,
        EntityType::Account,
        EntityType::Document,
    ],
    relationship_rules: default_rules(),
}).await?;

// Find densely connected entity clusters
for component in result.connected_components() {
    if component.density > 0.8 {
        println!("Highly connected cluster: {:?}", component.entities);
    }
}

Use Cases

Internal Audit

  • Journal entry testing
  • Segregation of duties analysis
  • Unusual transaction detection

External Audit

  • Substantive testing sample selection
  • Benford’s Law analysis
  • Related party transaction identification

Fraud Investigation

  • Network analysis of parties
  • Pattern detection across time
  • Relationship mapping

Regulatory Compliance

  • SOX testing automation
  • Audit trail analysis
  • Control effectiveness testing

Articles

Technical deep-dives into RustKernels algorithms, implementation details, and use cases.

Accounting Network Generation: Transforming Journal Entries to Directed Graphs

A comprehensive look at the GPU-accelerated transformation of double-entry bookkeeping journal entries into directed accounting networks. Covers the five solving methods, confidence calculation, VAT detection, and pattern recognition.

Topics covered:

  • The accounting network problem
  • Five solving methods (A-E) with confidence hierarchy
  • Fixed-point arithmetic for financial precision
  • Account classification and VAT detection
  • Transaction pattern recognition
  • Performance characteristics

Upcoming Articles

  • Graph Analytics at Scale: PageRank and community detection on billion-edge graphs
  • Real-Time Risk: Streaming VaR calculation with Ring kernels
  • Process Mining with DFG: Automatically discovering business processes
  • Compliance Patterns: Detecting AML patterns in transaction networks

Contributing Articles

Want to contribute an article? Articles should:

  1. Focus on a specific kernel or algorithm
  2. Explain the underlying theory
  3. Show practical implementation details
  4. Include code examples
  5. Discuss performance characteristics

Submit proposals via GitHub issues.

Accounting Network Generation: Transforming Journal Entries to Directed Graphs

Published: January 2026 Domain: Accounting Kernels: NetworkGeneration, NetworkGenerationRing

Abstract

This article describes the GPU-accelerated transformation of double-entry bookkeeping journal entries into directed accounting networks. We implement five solving methods with decreasing confidence levels, enabling sophisticated analysis of value flows between accounts. The implementation includes automatic account classification, VAT/tax detection, transaction pattern recognition, and confidence boosting based on domain knowledge.


Introduction

Traditional accounting views journal entries as balanced debit/credit pairs following the fundamental equation:

Assets = Liabilities + Equity

Every transaction creates at least one debit and one credit, always balancing. However, understanding the flow of value between accounts requires transforming these entries into a directed graph representation where:

  • Nodes represent accounts
  • Edges represent flows (directed from debit accounts to credit accounts)
  • Edge weights represent amounts transferred

This transformation enables powerful analytics:

  • Flow tracing: Follow value through the organization
  • Anomaly detection: Identify unusual patterns
  • Intercompany analysis: Detect circular flows requiring elimination
  • Audit trails: Trace specific amounts to source transactions

The challenge lies in determining which debit amount flows to which credit account when an entry has multiple lines.


The Solving Problem

Consider a simple journal entry:

Dr. Cash           $1,000
    Cr. Revenue              $1,000

The flow is trivial: Cash receives $1,000 from Revenue.

But what about:

Dr. Cash           $1,000
Dr. Receivables      $500
    Cr. Revenue              $1,200
    Cr. Deferred Revenue       $300

Which debit flows to which credit? There are multiple valid interpretations. Our algorithm provides a principled approach to solve this ambiguity while quantifying confidence.


The Five Solving Methods

We implement five methods in order of decreasing confidence. The algorithm tries each method in sequence until one succeeds.

Method A: Trivial 1-to-1 (Confidence: 1.0)

When applied: Exactly 1 debit line and 1 credit line.

This is deterministic. The single debit flows entirely to the single credit.

Entry:
  Dr. Cash $1,000
  Cr. Revenue $1,000

Result:
  Flow: Cash -> Revenue ($1,000) [confidence: 1.0]

Approximately 60% of entries in typical general ledgers are 2-line entries solved by Method A.

Method B: n-to-n Bijective Matching (Confidence: 0.95)

When applied: Equal count of debits and credits (n debits, n credits), where n <= 10.

Uses a two-phase greedy matching algorithm:

  1. Phase 1: Match exact amounts (within tolerance)
  2. Phase 2: Match remaining by order
Entry:
  Dr. Cash         $500
  Dr. Receivables  $300
  Cr. Sales        $500
  Cr. Service      $300

Phase 1 matches:
  Cash ($500) -> Sales ($500)      [exact match]
  Receivables ($300) -> Service ($300)  [exact match]

Result: Two flows with confidence 0.95

Method C: n-to-m Partition Matching (Confidence: 0.85)

When applied: Unequal counts of debits and credits, total lines <= 20.

Uses subset-sum matching to find which credits combine to match each debit amount.

For small n (<=12): Exhaustive search using bit manipulation (2^n combinations) For larger n: Greedy approximation (sorted descending)

Entry:
  Dr. Cash $800
  Cr. Revenue    $500
  Cr. Service    $300

Algorithm finds: {Revenue, Service} sums to $800

Result:
  Flow: Cash -> Revenue ($500) [confidence: 0.85]
  Flow: Cash -> Service ($300) [confidence: 0.85]

If no exact partition exists, falls back to proportional allocation with reduced confidence (0.765).

Method D: Aggregation (Confidence: 0.70)

When applied: Many lines (>20 total), aggregation enabled.

Aggregates to account level and allocates proportionally:

  1. Sum all debits by account code
  2. Sum all credits by account code
  3. For each (debit_account, credit_account) pair:
    allocation = debit_amount * (credit_amount / total_credits)
    

Use case: Large allocation entries with many cost centers.

Method E: Entity Decomposition (Confidence: 0.50)

When applied: Multi-entity entries, decomposition enabled.

Decomposes by entity_id and attempts within-entity matching first:

  1. Group debits by entity
  2. Group credits by entity
  3. Try matching within each entity
  4. Cross-entity flows get additional 0.8x confidence multiplier

Use case: Intercompany transactions, consolidation entries.

Unsolvable Entries

If all methods fail or entry is unbalanced:

  • Route all flows through suspense account
  • Confidence: 0.0
  • Provides audit trail for investigation

Fixed-Point Arithmetic

Financial calculations require exact precision. Floating-point arithmetic introduces rounding errors that compound over millions of transactions. We use 128-bit fixed-point arithmetic with 18 decimal places:

pub struct FixedPoint128 {
    pub value: i128,  // Scaled by 10^18
}

const SCALE: i128 = 1_000_000_000_000_000_000; // 10^18

impl FixedPoint128 {
    pub fn from_f64(v: f64) -> Self {
        Self {
            value: (v * SCALE as f64) as i128
        }
    }

    pub fn to_f64(&self) -> f64 {
        self.value as f64 / SCALE as f64
    }
}

This provides:

  • Range: Up to ~170 trillion (sufficient for any practical amount)
  • Precision: Exactly 18 decimal places
  • Determinism: Same result across platforms

All amount comparisons use tolerance-aware equality:

impl FixedPoint128 {
    pub fn approx_eq(&self, other: &Self, tolerance: i128) -> bool {
        (self.value - other.value).abs() <= tolerance
    }
}

Enhanced Features

Account Classification

Accounts are automatically classified into standard categories:

pub enum AccountClass {
    Asset,              // 1xxx accounts
    Liability,          // 2xxx accounts
    Equity,             // 3xxx accounts
    Revenue,            // 4xxx accounts
    COGS,               // 5xxx accounts
    Expense,            // 6xxx-7xxx accounts
    OtherIncomeExpense, // 8xxx accounts
    Tax,                // VAT, GST, etc.
    Intercompany,       // Related party accounts
    Suspense,           // Clearing/suspense
    Unknown,            // Unclassified
}

Classification uses two strategies:

  1. Numeric prefix: 1xxx = Asset, 2xxx = Liability, etc.
  2. Keyword matching: “CASH”, “RECEIVABLE” -> Asset; “PAYABLE” -> Liability
impl AccountClass {
    pub fn from_account_code(code: &str) -> Self {
        // Try numeric classification first
        if let Some(first_digit) = code.chars().find(|c| c.is_ascii_digit()) {
            match first_digit {
                '1' => return AccountClass::Asset,
                '2' => return AccountClass::Liability,
                '3' => return AccountClass::Equity,
                '4' => return AccountClass::Revenue,
                '5' => return AccountClass::COGS,
                '6' | '7' => return AccountClass::Expense,
                '8' => return AccountClass::OtherIncomeExpense,
                _ => {}
            }
        }

        // Fall back to keyword matching
        let upper = code.to_uppercase();
        if upper.contains("VAT") || upper.contains("TAX") {
            AccountClass::Tax
        } else if upper.contains("CASH") || upper.contains("BANK") {
            AccountClass::Asset
        }
        // ... additional patterns
    }
}

VAT/Tax Detection

The system automatically detects VAT patterns by analyzing amount relationships:

pub struct VatDetector {
    known_rates: Vec<VatRate>,
    tolerance: f64,
}

pub struct VatRate {
    pub name: String,
    pub rate: f64,        // e.g., 0.20 for 20%
    pub jurisdiction: String,
}

Built-in rates include:

  • EU: 19% (Germany), 20% (UK, France), 21% (Netherlands), 23% (Ireland), 25% (Sweden)
  • Reduced: 5%, 7%, 10%
  • GST/HST: 5% (Canada GST), 13%/15% (HST)

Detection algorithm:

pub fn detect_vat_split(&self, amounts: &[i128]) -> Option<VatPattern> {
    // Sort amounts descending
    let mut sorted = amounts.to_vec();
    sorted.sort_by(|a, b| b.cmp(a));

    // Try each pair: largest could be gross, second could be net
    for (gross, net) in pairs(&sorted) {
        let tax = gross - net;
        let implied_rate = tax as f64 / net as f64;

        // Check against known rates
        for rate in &self.known_rates {
            if (implied_rate - rate.rate).abs() < self.tolerance {
                return Some(VatPattern {
                    gross_amount: gross,
                    net_amount: net,
                    tax_amount: tax,
                    rate: rate.clone(),
                    // ... additional fields
                });
            }
        }
    }
    None
}

Transaction Pattern Recognition

14 common transaction patterns are automatically detected:

pub enum TransactionPattern {
    SimpleSale,        // Dr. Asset, Cr. Revenue
    SaleWithVat,       // Dr. Asset, Cr. Revenue + Tax
    SimplePurchase,    // Dr. Expense/Asset, Cr. Asset/Liability
    PurchaseWithVat,   // Dr. Expense + Tax, Cr. Liability
    Payment,           // Dr. Liability, Cr. Asset
    Receipt,           // Dr. Asset, Cr. Asset
    Payroll,           // Dr. Expense, Cr. Multiple Liabilities
    Depreciation,      // Dr. Expense, Cr. Contra-Asset
    Accrual,           // Dr. Expense, Cr. Liability
    AccrualReversal,   // Reverse of accrual
    Transfer,          // Dr. Asset, Cr. Asset (multiple)
    Intercompany,      // Cross-entity debits/credits
    CostAllocation,    // Multiple cost centers
    Adjustment,        // Miscellaneous adjustments
    Unknown,
}

Pattern detection examines:

  1. Account classes on debit side
  2. Account classes on credit side
  3. Presence of tax accounts
  4. Entity relationships

Confidence Boosting

Recognized patterns boost confidence scores:

PatternBoost
SaleWithVat+0.15
PurchaseWithVat+0.15
SimpleSale+0.10
SimplePurchase+0.10
Payroll+0.12
Depreciation+0.15
Intercompany+0.05

Final confidence is capped at 1.0:

let base_confidence = method.confidence();
let pattern_boost = pattern.confidence_boost();
let final_confidence = (base_confidence + pattern_boost).min(1.0);

Data Structures

AccountingFlow

The primary output structure:

pub struct AccountingFlow {
    pub flow_id: String,
    pub entry_id: u64,
    pub from_account: String,
    pub to_account: String,
    pub amount: FixedPoint128,
    pub timestamp: u64,
    pub method: SolvingMethod,
    pub confidence: f64,
    pub from_entity: String,
    pub to_entity: String,
    pub currency: String,
    pub source_lines: Vec<u32>,

    // Enhanced fields
    pub from_account_class: Option<AccountClass>,
    pub to_account_class: Option<AccountClass>,
    pub pattern: Option<TransactionPattern>,
    pub is_tax_flow: bool,
    pub vat_rate: Option<f64>,
    pub is_intercompany: bool,
    pub confidence_factors: Vec<String>,
}

AccountingNetwork

The complete network representation:

pub struct AccountingNetwork {
    pub flows: Vec<AccountingFlow>,
    pub accounts: HashSet<String>,
    pub account_index: HashMap<String, usize>,
    pub adjacency: HashMap<String, Vec<(String, usize)>>,
    pub stats: NetworkGenerationStats,
}

impl AccountingNetwork {
    pub fn outgoing_flows(&self, account: &str) -> Vec<&AccountingFlow> {
        // Returns all flows from this account
    }

    pub fn incoming_flows(&self, account: &str) -> Vec<&AccountingFlow> {
        // Returns all flows to this account
    }

    pub fn total_volume(&self) -> f64 {
        self.flows.iter().map(|f| f.amount.to_f64()).sum()
    }

    pub fn weighted_confidence(&self) -> f64 {
        let total_amount: f64 = self.flows.iter()
            .map(|f| f.amount.to_f64())
            .sum();

        if total_amount == 0.0 {
            return self.flows.iter()
                .map(|f| f.confidence)
                .sum::<f64>() / self.flows.len() as f64;
        }

        self.flows.iter()
            .map(|f| f.confidence * f.amount.to_f64())
            .sum::<f64>() / total_amount
    }
}

Usage Example

use rustkernel::accounting::network_generation::{
    NetworkGeneration,
    NetworkGenerationInput,
    NetworkGenerationConfig,
};

// Configure the kernel
let config = NetworkGenerationConfig {
    amount_tolerance: 0.01,
    max_lines_method_b: 10,
    max_lines_method_c: 20,
    enable_aggregation: true,
    enable_decomposition: true,
    suspense_account: "SUSPENSE".to_string(),
    strict_balance: false,

    // Enhanced features
    enable_pattern_matching: true,
    enable_vat_detection: true,
    apply_confidence_boost: true,
    annotate_account_classes: true,
    custom_vat_rates: vec![],
};

let kernel = NetworkGeneration::with_config(config);

// Process journal entries
let result = kernel.execute(NetworkGenerationInput {
    entries: journal_entries,
    config: None,  // Use kernel's config
}).await?;

// Analyze results
println!("Generated {} flows", result.flows.len());
println!("Total volume: ${:.2}", result.stats.total_volume);
println!("Weighted confidence: {:.2}%", result.stats.weighted_confidence * 100.0);

// Method distribution
println!("\nMethod distribution:");
println!("  Method A (1:1): {}", result.stats.method_a_count);
println!("  Method B (n:n): {}", result.stats.method_b_count);
println!("  Method C (n:m): {}", result.stats.method_c_count);
println!("  Method D (agg): {}", result.stats.method_d_count);
println!("  Method E (dec): {}", result.stats.method_e_count);

// Pattern analysis
println!("\nTransaction patterns:");
println!("  Sales: {}", result.stats.sales_pattern_count);
println!("  Purchases: {}", result.stats.purchase_pattern_count);
println!("  Payments: {}", result.stats.payment_pattern_count);
println!("  Payroll: {}", result.stats.payroll_pattern_count);
println!("  Intercompany: {}", result.stats.intercompany_count);

// VAT analysis
println!("\nVAT detection:");
println!("  VAT entries: {}", result.stats.vat_entries_count);
println!("  Total VAT: ${:.2}", result.stats.total_vat_amount);

Performance Characteristics

MetricValue
Throughput~500,000 entries/sec
Memory~200 bytes per flow
GPU accelerationMethod C subset search

Typical Distribution

For a standard GL with 100,000 entries:

MethodPercentageAvg Confidence
A60%1.00
B25%0.95
C10%0.85
D4%0.70
E1%0.50

Overall weighted confidence: ~0.94


Ring Mode for Streaming

For real-time processing, use Ring mode:

use rustkernel::accounting::network_generation::NetworkGenerationRing;

let ring = NetworkGenerationRing::new();

// Add entries as they arrive
ring.add_entry(entry).await?;

// Query flows within time window
let flows = ring.query_flows(start_time, end_time).await?;

// Get current statistics
let stats = ring.get_statistics().await?;

Conclusion

The Accounting Network Generation kernel provides a robust, GPU-accelerated method for transforming traditional journal entries into graph structures. The five-method hierarchy balances precision with practicality, while enhanced features like VAT detection and pattern recognition add domain intelligence to the analysis.

This enables sophisticated applications:

  • Audit analytics: Trace flows, detect anomalies
  • Consolidation: Identify intercompany eliminations
  • Compliance: Analyze tax flows, verify postings
  • Forensics: Follow money through the organization

The implementation demonstrates how GPU acceleration can be applied to accounting workloads, achieving throughputs suitable for even the largest enterprise general ledgers.


References

  1. Hardware Accelerated Method for Accounting Network Generation (Internal paper)
  2. Double-Entry Bookkeeping and the Fundamental Accounting Equation
  3. Graph-Based Financial Analysis Techniques
  4. Fixed-Point Arithmetic for Financial Applications

Changelog

All notable changes to RustKernels are documented in this file.

The format is based on Keep a Changelog, and this project adheres to Semantic Versioning.

[Unreleased]

Added

  • Comprehensive documentation site with mdBook
  • Kernel catalogue with all 82 kernels documented
  • Technical article: Accounting Network Generation

[0.1.0] - 2026-01-12

Added

Infrastructure

  • rustkernel facade crate with domain re-exports
  • rustkernel-core with core traits, registry, K2K messaging
  • rustkernel-derive with #[gpu_kernel] and #[derive(KernelMessage)] macros
  • rustkernel-cli command-line interface

Graph Analytics (21 kernels)

  • PageRank, DegreeCentrality, BetweennessCentrality
  • ClosenessCentrality, EigenvectorCentrality, KatzCentrality
  • ModularityScore, LouvainCommunity, LabelPropagation
  • JaccardSimilarity, CosineSimilarity, AdamicAdarIndex, CommonNeighbors
  • GraphDensity, AveragePathLength, ClusteringCoefficient
  • ConnectedComponents, FullGraphMetrics
  • TriangleCounting, MotifDetection, KCliqueDetection

Statistical ML (8 kernels)

  • KMeans, DBSCAN, HierarchicalClustering
  • IsolationForest, LocalOutlierFactor, EnsembleVoting
  • LinearRegression, RidgeRegression

Compliance (9 kernels)

  • CircularFlowRatio, ReciprocityFlowRatio, RapidMovement
  • AMLPatternDetection, KYCScoring, EntityResolution
  • SanctionsScreening, PEPScreening, TransactionMonitoring

Temporal Analysis (7 kernels)

  • ARIMAForecast, ProphetDecomposition, ChangePointDetection
  • TimeSeriesAnomalyDetection, SeasonalDecomposition
  • TrendExtraction, VolatilityAnalysis

Risk Analytics (4 kernels)

  • CreditRiskScoring, MonteCarloVaR
  • PortfolioRiskAggregation, StressTesting

Banking (1 kernel)

  • FraudPatternMatch

Behavioral Analytics (6 kernels)

  • BehavioralProfiling, AnomalyProfiling, FraudSignatureDetection
  • CausalGraphConstruction, ForensicQueryExecution, EventCorrelationKernel

Order Matching (1 kernel)

  • OrderMatchingEngine

Process Intelligence (4 kernels)

  • DFGConstruction, PartialOrderAnalysis
  • ConformanceChecking, OCPMPatternMatching

Clearing (5 kernels)

  • ClearingValidation, DVPMatching, NettingCalculation
  • SettlementExecution, ZeroBalanceFrequency

Treasury (5 kernels)

  • CashFlowForecasting, CollateralOptimization
  • FXHedging, InterestRateRisk, LiquidityOptimization

Accounting (7 kernels)

  • ChartOfAccountsMapping, JournalTransformation
  • GLReconciliation, NetworkAnalysis, TemporalCorrelation
  • NetworkGeneration with enhanced features:
    • Account classification (11 classes)
    • VAT/tax detection (EU, GST/HST rates)
    • Transaction pattern recognition (14 patterns)
    • Confidence boosting
  • NetworkGenerationRing (streaming mode)

Payments (2 kernels)

  • PaymentProcessing, FlowAnalysis

Audit (2 kernels)

  • FeatureExtraction, HypergraphConstruction

Infrastructure Features

  • Batch and Ring execution modes
  • K2K (kernel-to-kernel) messaging patterns
  • Fixed-point arithmetic for financial precision
  • Enterprise licensing system
  • Feature flags for selective compilation

Version History

VersionDateHighlights
0.1.02026-01-12Initial release, 82 kernels

Migration Guides

From DotCompute (C#)

RustKernels is a Rust port of DotCompute. Key differences:

  1. Async execution: All kernel execution is async
  2. Ownership: Rust ownership model affects API design
  3. Error handling: Uses Result<T, E> instead of exceptions
  4. Ring messages: Use rkyv serialization instead of protobuf

See migration guide (coming soon) for detailed instructions.

Contributing

Thank you for your interest in contributing to RustKernels!

Code of Conduct

This project follows the Rust Code of Conduct. Please be respectful and constructive in all interactions.

Getting Started

Development Setup

  1. Clone the repository:

    git clone https://github.com/mivertowski/RustKernels.git
    cd RustKernels
    
  2. Ensure RustCompute is available:

    # Clone alongside RustKernels
    cd ..
    git clone https://github.com/mivertowski/RustCompute.git
    
  3. Build and test:

    cd RustKernels
    cargo build --workspace
    cargo test --workspace
    

Development Commands

# Format code
cargo fmt --all

# Lint
cargo clippy --all-targets --all-features -- -D warnings

# Run specific domain tests
cargo test --package rustkernel-graph

# Build documentation
cargo doc --workspace --no-deps --open

# Check all features compile
cargo check --all-features

Contributing Code

Types of Contributions

  • Bug fixes: Fix issues in existing kernels
  • New kernels: Add kernels to existing domains
  • Documentation: Improve docs, add examples
  • Performance: Optimize existing implementations
  • Tests: Increase test coverage

Pull Request Process

  1. Fork the repository
  2. Create a feature branch: git checkout -b feature/my-feature
  3. Make your changes
  4. Run tests: cargo test --workspace
  5. Run lints: cargo clippy --all-targets -- -D warnings
  6. Format code: cargo fmt --all
  7. Commit with clear messages
  8. Open a Pull Request

Commit Messages

Follow conventional commit format:

type(scope): description

[optional body]

[optional footer]

Types: feat, fix, docs, style, refactor, test, chore

Examples:

feat(graph): add triangle counting kernel
fix(accounting): correct VAT detection for reduced rates
docs(readme): update kernel count
test(ml): add edge cases for kmeans

Adding a New Kernel

1. Define the Kernel Struct

use rustkernel_core::{GpuKernel, KernelMetadata, Domain, KernelMode};

#[derive(Debug, Clone)]
pub struct MyNewKernel {
    metadata: KernelMetadata,
}

impl MyNewKernel {
    pub fn new() -> Self {
        Self {
            metadata: KernelMetadata {
                id: "domain/my-new-kernel".to_string(),
                mode: KernelMode::Batch,
                domain: Domain::MyDomain,
                description: "Description of what this kernel does".to_string(),
                expected_throughput: 100_000,
                target_latency_us: 50.0,
                requires_gpu_native: false,
                version: 1,
            },
        }
    }
}

impl GpuKernel for MyNewKernel {
    fn metadata(&self) -> &KernelMetadata {
        &self.metadata
    }
}

2. Implement BatchKernel

use rustkernel_core::BatchKernel;

impl BatchKernel<MyInput, MyOutput> for MyNewKernel {
    async fn execute(&self, input: MyInput) -> Result<MyOutput> {
        // Implementation
    }
}

3. Add Input/Output Types

In messages.rs:

#[derive(Debug, Clone)]
pub struct MyInput {
    pub data: Vec<f64>,
    pub config: MyConfig,
}

#[derive(Debug, Clone)]
pub struct MyOutput {
    pub result: Vec<f64>,
    pub statistics: Stats,
}

4. Add Tests

#[cfg(test)]
mod tests {
    use super::*;

    #[tokio::test]
    async fn test_my_new_kernel_basic() {
        let kernel = MyNewKernel::new();
        let input = MyInput { /* ... */ };
        let result = kernel.execute(input).await.unwrap();
        assert!(/* expected conditions */);
    }

    #[test]
    fn test_my_new_kernel_metadata() {
        let kernel = MyNewKernel::new();
        assert_eq!(kernel.metadata().id, "domain/my-new-kernel");
    }
}

5. Register the Kernel

In the domain’s lib.rs:

pub fn register_all(registry: &mut KernelRegistry) -> Result<()> {
    registry.register_batch(MyNewKernel::new())?;
    // ... other registrations
    Ok(())
}

6. Update Documentation

  • Add kernel to domain’s documentation page
  • Update kernel count if needed
  • Add to changelog

Code Style

Rust Style

  • Follow standard Rust idioms
  • Use rustfmt formatting
  • Address all clippy warnings
  • Document public APIs with /// comments

Naming Conventions

  • Kernels: PascalCase (e.g., PageRank, MonteCarloVaR)
  • Kernel IDs: kebab-case (e.g., graph/page-rank)
  • Functions/methods: snake_case
  • Constants: SCREAMING_SNAKE_CASE

Error Handling

  • Use Result<T, KernelError> for fallible operations
  • Provide meaningful error messages
  • Don’t panic in library code

Testing Guidelines

Test Categories

  1. Unit tests: Test individual functions
  2. Integration tests: Test kernel execution
  3. Property tests: For numerical algorithms (when applicable)

Test Naming

#[test]
fn test_{function}_{scenario}_{expected_result}() {
    // e.g., test_pagerank_empty_graph_returns_empty()
}

Coverage Goals

  • New code should have >80% test coverage
  • Critical paths should have 100% coverage

Questions?

  • Open a GitHub issue for bugs or feature requests
  • Use discussions for questions
  • Email maintainers for sensitive issues

Thank you for contributing!