Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

Combinatorial optimization problems are often encountered in real-world applications, including logistics, scheduling and ...

Abstract: The integration of Artificial Itelligence (AI) and edge computing has sparked significant interest in edge inference services. In this paper, we consider delay-sensitive, differential ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Abstract: In this paper, we delve into the monotone sub-modular maximization problem with a cardinality constraint. We propose a priority-ordered swapping algorithm that iteratively improves the ...

Graph Neural Networks (GNNs) have become a central tool for learning from network-structured data, excelling in tasks such as node classification, link prediction and representation learning. In ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

The best way to fix Americans’ cost-of-living problem is to give workers bigger raises, Federal Reserve Chair Jerome Powell said last week. The problem: That solution looks broken, too. The US job ...

Python program to solve problems using the simplex method, with options for graphical mode and dual method, addressing both maximization and minimization problems.