Smithsonian Magazine

Mathematicians Puzzled Over a Famous Problem for 80 Years. Now, They’ve Used A.I. to Identify a Clever Solution

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

An AI solution to an 80‑year‑old problem has shocked mathematicians

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...

An OpenAI model solved a famous math problem that stumped humans for 80 years

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
Communications of the ACM

I Spent a Year Asking AI to Solve Math’s Hardest Problem. Here’s What Happened

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

OpenAI makes breakthrough in 80-year-old math problem with ‘ingenious ideas’

The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same ...
IEEE

Machine Learning-Based Problem Space Reduction in Stochastic Programming Models: An Application in Biofuel Supply Chain Network Design

Abstract: Biofuels derived from feedstock offer a sustainable source for meeting energy needs. The design of supply chains that deliver these fuels needs to consider quality variability with special ...
IEEE

A Novel Routing Solution for EV Fleets: A Real-World Case Study Leveraging Double DQNs and Graph-Structured Data to Solve the EVRPTW Problem

Abstract: The transition from Internal Combustion Engine vehicles to Electric Vehicles presents challenges for fleet managers in terms of adapting operational processes and systems. One prominent ...