Researchers have developed P4Struct, an open-source Python framework that unifies finite element analysis, topology ...

I am building a program to think about discards for "Solitaire Mahjong" on my own.Currently, I am measuring 1 million games ...

OpenAI’s trove of new math results doesn’t fully solve any of these highly prestigious open questions, but it seems to make progress on some. A page from an 1859 manuscript in which Bernhard Riemann ...

The new results are likely to expand AI controversy roiling the mathematics community. OpenAI has posted hundreds of ...

Abstract: The vehicle routing problem (VRP) is a fundamental combinatorial optimization problem with wide-ranging applications in networks, logistics, transportation, and distribution systems. At its ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

Combinatorial optimisation problems arise in many fields, from logistics and network design to machine learning and bioinformatics. Most classical formulations are NP-hard, rendering exact ...

The Traveling Salesman Problem (TSP) is a prototypical NP-hard combinatorial optimisation challenge: given a set of locations and pairwise distances satisfying the triangle inequality, find the ...

We study the problem of estimating the size of a maximum matching in sublinear time. The problem has been studied extensively in the literature and various algorithms and lower bounds are known for it ...

An ensemble-based algorithm using diffusion models and sequential Monte Carlo methods provides more accurate posterior sampling in Bayesian inverse problems without heuristic approximations.