Researchers use statistical physics and "toy models" to explain how neural networks avoid overfitting and stabilize learning in high-dimensional spaces.

A dominant view in science is that there is a mathematical truth structuring the universe. It is assumed that the scientist’s job is to decipher these mathematical relations: once understood, they can ...

Explore mathematical economics—a method utilizing quantitative tools and models for economic theory analysis. Learn its ...

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...

A hidden mathematical connection between origami and structural engineering is opening a new path for designing complex, ...

Mathematics is deemed to be beyond figures. It is described as the foundation of resilience in society. Thus, this made Temitope Comfort Iroko, a PhD candidate in Mathematics at the University of ...

A new study introduces choice engineering—a powerful new way to guide decisions using math instead of guesswork. By applying carefully designed mathematical models, researchers found they could ...