Artificial intelligence systems based on neural networks—such as ChatGPT, Claude, DeepSeek or Gemini—are extraordinarily powerful, yet their internal workings remain largely a "black box." To better ...

A sneeze. Ocean currents. Smoke. What do these have in common? They're instances of turbulence: unpredictable, chaotic, uneven fluid flows of fluctuating velocity and pressure. Though ubiquitous in ...

Machine learning sounds math-heavy, but modern tools make it far more accessible. Here’s how I built models without deep math ...

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

Mathematical models can be useful to developmental biologists, in particular in helping to bridge the gap in understanding between proposed molecular interactions inside and between cells and their ...

Having levels of potassium that are too high or too low can be fatal. A new mathematical model sheds light on the often mysterious ways the body regulates this important electrolyte. Having levels of ...

Reproducible scientific results are not always true and true scientific results are not always reproducible, according to a mathematical model. Reproducible scientific results are not always true and ...

A new study uses neural networks to prove that memory and individual recognition allow cooperation to defeat selfishness in the prisoner's dilemma.

Mining is one of the industries that’s helped by mathematical modelling: models can predict ceiling collapses and keep miners safe. Sunshine Seeds/Shutterstock/For editorial use only Imagine dropping ...