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

Deep Networks as Denoising Algorithms: Sample-Efficient Learning of Diffusion Models in High-Dimensional Graphical Models

Abstract: We investigate the efficiency of deep neural networks for approximating scoring functions in diffusion-based generative modeling. While existing approximation theories leverage the ...
The Guardian

OpenAI makes breakthrough on 80-year-old maths problem

Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...
GitHub

BMad Method Sample Data

A curated corpus of sample inputs and artifacts for testing and demonstrating BMad Method skills. Around 100 entries spanning the full BMad funnel: one-line intents, braindumps, transcripts, threads, ...
IEEE

Scattered-Power Substructure Characteristic Mode Formulation via Hybrid Vector Spherical Wave–MoM Method: Comparative Analysis of Scattering-Matrix- and Impedance-Matrix ...

Abstract: In this paper, we introduce an alternative scattered-power substructure characteristic mode (CM) formulation based on a hybrid method combining vector spherical wave expansions and the ...
the-decoder

New math benchmark reveals AI models confidently solve problems that have no solution

A consortium of 64 mathematicians built a new benchmark for AI models that exposes two weaknesses: research-level math and the ability to recognize unsolvable tasks. With today's frontier models ...