Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Generative models based on flow matching have attracted significant attention for their simplicity and superior performance in high-resolution image synthesis. By leveraging the instantaneous ...

This Python library implements homotopy-based optimization methods designed to solve convex optimization problems, with a particular focus on semidefinite programs, hyperbolic programs, and convex ...

Abstract: This paper establishes the non-Fourier heat conduction model to describe the heat transfer process of mono-crystalline silicon under the condition of unstable thermal field and thermal shock ...