In mathematics, proofs can be written down and shared. In cryptography, when people are trying to avoid revealing their secrets, proofs are not always so simple—but a new result significantly closes ...

AI systems are beginning to produce proof ideas that experts take seriously, even when final acceptance is still pending.

Published in Nature, the study details the first large-scale demonstration of a photonic Ising machine operating without the ...

Over the years, data centers have reinvented themselves through virtualization, the cloud and AI. The next iteration is ...

This PR adds an implementation of Kadane's Algorithm, an efficient dynamic programming approach to solve the Maximum Subarray Sum problem in O(n) time. Initializes current and global maximum values.

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 ...

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 ...

Abstract: In applied and numerical algebraic geometry, many problems are reduced to computing an approximation to a real algebraic curve. In order to elevate the results of such a computation to the ...

We present a new optimization-based method for aggregating preferences in settings in which each voter expresses preferences over pairs of alternatives. Our approach to identifying a consensus partial ...

Institute of Logistics Science and Engineering of Shanghai Maritime University, Pudong, China Introduction: This study addresses the joint scheduling optimization of continuous berths and quay cranes ...