Crate amari_optimization 

Amari Optimization

Advanced optimization algorithms and techniques for mathematical computing.

This crate provides a comprehensive suite of optimization algorithms designed for integration with the Amari mathematical computing ecosystem. It supports:

Features

• Linear Programming: Simplex method, interior-point methods
• Nonlinear Optimization: Gradient descent, Newton’s method, quasi-Newton methods
• Constrained Optimization: Penalty methods, barrier methods, Lagrange multipliers
• Metaheuristics: Genetic algorithms, simulated annealing, particle swarm optimization
• Convex Optimization: Specialized algorithms for convex problems
• Multi-objective Optimization: Pareto optimization, NSGA-II
• GPU Acceleration: WGPU-based parallel optimization for large-scale problems
• Geometric Algebra Integration: Optimization in geometric algebra spaces

Usage

use amari_optimization::prelude::*;

// Define an objective function
let objective = |x: &[f64]| x[0].powi(2) + x[1].powi(2);

// Set up optimization problem (to be implemented)
// let problem = OptimizationProblem::new(objective)
//     .with_bounds(vec![(-10.0, 10.0), (-10.0, 10.0)])
//     .with_initial_guess(vec![1.0, 1.0]);
//
// // Solve using gradient descent (to be implemented)
// let result = GradientDescent::default().solve(problem)?;

Integration with Amari Ecosystem

This crate is designed to work seamlessly with other Amari components:

• amari-core: Geometric algebra operations and multivectors
• amari-dual: Automatic differentiation for gradient computation
• amari-tropical: Optimization in tropical semirings
• amari-gpu: GPU acceleration for large-scale optimization

Modules

constrained

Constrained optimization methods

convex

Convex optimization specializations

core

Core optimization traits and types

geometric

Geometric algebra optimization

linear

Linear programming algorithms

metaheuristics

Metaheuristic optimization algorithms

multiobjective

Multi-objective optimization

natural_gradient

Natural gradient optimization on statistical manifolds

nonlinear

Nonlinear optimization algorithms

phantom

Phantom types for compile-time optimization state verification

prelude

Convenient re-exports for common usage

tropical

Tropical optimization

utils

Utility functions and helpers

Structs

OptimizationSolution

Optimization solution containing result data and metadata

Enums

OptimizationError

Main error type for optimization operations

Type Aliases

OptimizationResult

Result type for optimization operations