Abstract: Expensive constrained multi-objective optimization problems (ECMOPs) are prevalent in engineering practice and are characterized by extremely high evaluation costs for both objective and ...

Abstract: Sampling from the posterior distribution in latent diffusion models for inverse problems is computationally challenging. Existing methods often rely on Tweedie's first-order moments that ...

These low-floor, high-ceiling problems support differentiation, challenging all students by encouraging flexible thinking and allowing for multiple solution paths.

Update: Since this article was published, it has emerged that there was a prior solution to the particular Erdos problem solved here by Davenport and Erdős (1936) and Rogers (in Halberstam-Roth (1966) ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...