sklears-linear

High-performance linear models for Rust with 14-20x speedup (validated) over scikit-learn, featuring advanced solvers, numerical stability, and GPU acceleration.

Latest release: 0.1.0-beta.1 (January 1, 2026). See the workspace release notes for highlights and upgrade guidance.

Overview

sklears-linear provides comprehensive linear modeling capabilities:

• Core Models: LinearRegression, Ridge, Lasso, ElasticNet, LogisticRegression
• Advanced Solvers: ADMM, coordinate descent, proximal gradient, L-BFGS
• Numerical Stability: Condition checking, iterative refinement, rank-deficient handling
• Performance: SIMD optimization, sparse matrix support, parallel training
• Production Ready: Cross-validation, early stopping, warm start

Quick Start

use sklears_linear::{LinearRegression, Ridge, Lasso, ElasticNet};
use ndarray::array;

// Basic linear regression
let model = LinearRegression::default();
let X = array![[1.0, 2.0], [2.0, 4.0], [3.0, 6.0]];
let y = array![2.0, 4.0, 6.0];
let fitted = model.fit(&X, &y)?;
let predictions = fitted.predict(&X)?;

// Ridge regression with regularization
let ridge = Ridge::builder()
    .alpha(1.0)
    .solver(RidgeSolver::Cholesky)
    .build();

// Lasso with coordinate descent
let lasso = Lasso::builder()
    .alpha(0.1)
    .max_iter(1000)
    .tol(1e-4)
    .build();

// ElasticNet combining L1 and L2
let elastic = ElasticNet::builder()
    .alpha(0.5)
    .l1_ratio(0.5)
    .build();

Advanced Features

Solvers

use sklears_linear::{ADMMSolver, CoordinateDescentSolver, ProximalGradientSolver};

// ADMM for distributed optimization
let admm = ADMMSolver::builder()
    .rho(1.0)
    .max_iter(500)
    .abstol(1e-4)
    .reltol(1e-3)
    .build();

// Coordinate descent for L1 regularization
let cd = CoordinateDescentSolver::builder()
    .selection_rule(SelectionRule::Cyclic)
    .build();

Numerical Stability

use sklears_linear::{LinearRegression, Solver};

// Automatic method selection based on condition number
let stable_model = LinearRegression::builder()
    .solver(Solver::Auto)  // Chooses based on matrix condition
    .check_condition(true)
    .build();

// Iterative refinement for ill-conditioned problems
let refined = LinearRegression::builder()
    .solver(Solver::QR)
    .iterative_refinement(true)
    .build();

Sparse Data Support

use sklears_linear::sparse::{SparseLinearRegression};
use sprs::CsMat;

// Efficient sparse matrix operations
let sparse_X = CsMat::from_dense(...);
let model = SparseLinearRegression::default();
let fitted = model.fit(&sparse_X, &y)?;

Bayesian Linear Models

use sklears_linear::{BayesianRidge, VariationalBayesRegression};

// Bayesian ridge with automatic relevance determination
let bayesian = BayesianRidge::builder()
    .n_iter(300)
    .compute_score(true)
    .build();

// Variational Bayes for uncertainty quantification
let vb = VariationalBayesRegression::builder()
    .credible_interval(0.95)
    .build();

let fitted = vb.fit(&X, &y)?;
let (predictions, lower, upper) = fitted.predict_with_uncertainty(&X)?;

Performance Features

Parallel Training

let model = Ridge::builder()
    .alpha(1.0)
    .n_jobs(4)  // Use 4 threads
    .build();

Cross-Validation

use sklears_linear::{RidgeCV, LassoCV};

// Ridge with built-in cross-validation
let ridge_cv = RidgeCV::builder()
    .alphas(vec![0.1, 1.0, 10.0])
    .cv(5)
    .build();

// Lasso with efficient path computation
let lasso_cv = LassoCV::builder()
    .n_alphas(100)
    .cv(10)
    .build();

Early Stopping

let model = Lasso::builder()
    .alpha(0.1)
    .early_stopping(true)
    .validation_fraction(0.2)
    .n_iter_no_change(5)
    .build();

Specialized Regression

Robust Regression

use sklears_linear::{HuberRegressor, RANSACRegressor};

// Huber regression for outliers
let huber = HuberRegressor::builder()
    .epsilon(1.35)
    .alpha(0.0001)
    .build();

// RANSAC for severe outliers
let ransac = RANSACRegressor::builder()
    .min_samples(0.5)
    .residual_threshold(5.0)
    .build();

Quantile Regression

use sklears_linear::QuantileRegressor;

// Median regression (50th percentile)
let median = QuantileRegressor::builder()
    .quantile(0.5)
    .solver(QuantileSolver::InteriorPoint)
    .build();

// Multiple quantiles
let quantiles = vec![0.1, 0.5, 0.9];
for q in quantiles {
    let model = QuantileRegressor::new(q);
    // Fit and predict...
}

Benchmarks

Performance comparisons on standard datasets:

With GPU acceleration (coming soon):

• Expected 50-100x speedup for large problems
• Linear scaling with problem size

Architecture

sklears-linear/
├── models/         # Core linear models
├── solvers/        # Optimization algorithms
├── regularization/ # L1, L2, ElasticNet
├── robust/         # Robust regression methods
├── bayesian/       # Bayesian linear models
├── sparse/         # Sparse matrix support
└── gpu/           # GPU acceleration (WIP)

Status

• Core Models: 100% complete
• Advanced Solvers: 95% complete
• Test Coverage: 124/158 passing (78%)
• GPU Support: In development

Contributing

We welcome contributions! See CONTRIBUTING.md.

License

Licensed under either of:

• Apache License, Version 2.0
• MIT license

Citation

@software{sklears_linear,
  title = {sklears-linear: High-Performance Linear Models for Rust},
  author = {COOLJAPAN OU (Team KitaSan)},
  year = {2026},
  url = {https://github.com/cool-japan/sklears}
}