They Spent Years on a Math Problem. Then They Were Scooped by A.I.

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians ...

Hidden geometry explains why kernel methods separate complex data so well

Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...
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 ...
IEEE

Trajectory Planning for ISAC Systems: Variational Method to Minimization of Completion Time

Abstract: Integrated sensing and communication (ISAC) en ables a unified framework for high-capacity communications and accurate sensing, where trajectory optimization plays a crucial role in jointly ...
Interesting Engineering

80-year-old geometry mystery cracked by OpenAI using deep number theory

For nearly 80 years, mathematicians believed they understood the limits of a famous geometry puzzle first posed by legendary Hungarian mathematician Paul Erdős. Now, an AI model developed by OpenAI ...
IEEE

Step Size Adaptation for Accelerated Stochastic Momentum Algorithm Using SDE Modeling and Lyapunov Drift Minimization

Abstract: Training machine learning models often involves solving high-dimensional stochastic optimization problems, where stochastic gradient-based algorithms are hindered by slow convergence.