Basin: Efficient and Extensible Numerical Optimization in Rust

2026-08-11

AI Summary

This work proposes and implements a high-performance, unified numerical optimization framework in Rust, addressing the pervasive challenge of numerical optimization in scientific computing and engineering. The framework natively supports diverse constraint types, integrates multiple optimization algorithms, and offers a consistent, extensible interface design. As the first numerical optimization library in the Rust ecosystem to combine a rich suite of solvers, first-class constraint handling, and high computational efficiency, it demonstrates exceptional practicality and scalability across applications such as model fitting, simulation calibration, and machine learning training.

Abstract

Basin is a numerical optimization library for the Rust programming language. Numerical optimization is the task of finding the inputs that minimize a function, and it is a fundamental element across the sciences: fitting a model to data, calibrating a simulation, training a machine learning model, or choosing engineering parameters that minimize cost. Basin gives users a single, consistent way to both state and solve such problems, with a broad catalog of solvers and first-class support for constraints.

Problem

• numerical optimization
• Rust
• function minimization
• constrained optimization
• scientific computing

Innovation

• numerical optimization
• Rust
• constraint handling
• extensible solvers
• scientific computing