Awesome GitHub RepositoriesOptimization Libraries

SciPy is a scientific computing library for Python that provides a comprehensive collection of mathematical algorithms and numerical tools for research and engineering. It functions as a high-performance numerical analysis framework, bridging high-level Python code with compiled C and Fortran routines to execute complex computations at hardware speeds. The library is built upon array-based data structures that utilize strided memory layouts to enable efficient data manipulation and slicing. By employing vectorized operation dispatch and linking to optimized hardware-specific linear algebra li

dlib is a C++ machine learning toolkit and data analysis framework. It provides a collection of algorithms and utilities for building predictive modeling applications and performing statistical analysis on large datasets within native C++ environments. The project functions as a binding library that wraps low-level C++ machine learning algorithms into high-level Python scripting interfaces. This allows for the integration of high-performance native implementations with Python for machine learning development. The framework covers the implementation of predictive models, the execution of mach

Ceres Solver es una biblioteca de C++ para optimización numérica, especializada en problemas de mínimos cuadrados no lineales y optimización sin restricciones. Sirve como un framework para diferenciación automática y ajuste de curvas robusto, proporcionando herramientas para resolver modelos matemáticos a gran escala. La biblioteca se distingue por sus capacidades de ajuste de haces (bundle adjustment), que explotan estructuras de matrices dispersas para refinar puntos de escena 3D y parámetros de cámara. Utiliza diferenciación automática de números duales para calcular derivadas de funciones de costo, eliminando la necesidad de derivación manual de Jacobianos. El proyecto cubre una amplia gama de capacidades de optimización, incluyendo restricciones de variedades para espacios no euclidianos, funciones de pérdida robustas para mitigar valores atípicos y resolución de sistemas lineales tanto densos como dispersos. También proporciona utilidades para la conversión de representación de rotación, interpolación de datos tabulados y estimación de covarianza de parámetros. Las configuraciones de compilación están disponibles para objetivos Android e iOS para soportar la optimización de hardware móvil.

Drake is a robotics simulation framework and control system modeling tool used for designing, simulating, and verifying the dynamics of complex robotic systems. It functions as a multibody dynamics simulator and a mathematical optimization library, providing a suite of algorithms for trajectory optimization and the simulation of articulated robots. The framework is distinguished by its block-diagram system for composing dynamical subsystems and its ability to formulate and solve diverse mathematical programs, including linear, quadratic, and nonconvex nonlinear problems. It supports specializ

GTSAM is a library of C++ classes that implement smoothing and mapping (SAM) in robotics and vision, using factor graphs and Bayes networks as the underlying computing paradigm rather than sparse matrices.

g2o: A General Framework for Graph Optimization

LMfit-py