Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

Google DeepMind's AlphaProof Nexus solved 9 open Erdős problems and proved 44 OEIS conjectures using AI-driven formal ...

Toronto-based Xanadu Quantum Technologies published a new algorithmic optimization on May 21 that halves the Toffoli gate ...

To keep pace with modern design cycles and more complex hardware, the role of physics in the workflow must change.

A high-performance Rust-based nonlinear least squares optimization library designed for computer vision applications including bundle adjustment, SLAM, and pose graph optimization. Built with focus on ...

In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem that had stymied mathematicians for a century. In this case, the solvers weren't human. An artificial ...

ABSTRACT: Multi-objective optimization remains a significant and realistic problem in engineering. A trade-off among conflicting objectives subject to equality and inequality constraints is known as ...

SLSQP stands for Sequential Least Squares Programming. It is a numerical optimization algorithm used to solve constrained nonlinear optimization problems. In this project, we aim to optimize objective ...

We study some nonlinear optimal control problems under state constraint. We construct extremal flows by differential-algebraic equations to solve an optimal control problem subject to mixed ...