Kinetic theory and mathematical modelling have emerged as pivotal tools in analysing complex systems – ranging from biological entities and social interactions to financial markets. These methods ...

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

Ever better experimental techniques allow us to perform experiments under tightly controlled conditions and can deliver gigantic amounts of data reflecting the complexity of biology. This has vastly ...

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

Artificial intelligence systems based on neural networks—such as ChatGPT, Claude, DeepSeek or Gemini—are extraordinarily ...

NOTICE: The project that is the subject of this report was approved by the Governing Board of the National Research Council, whose members are drawn from the councils of the National Academy of ...

Physicists at Harvard University have developed a simplified, physics-inspired mathematical model to better understand how neural networks learn, potentially explaining why large AI systems often ...

You can probably think of a time when you’ve used math to solve an everyday problem, such as calculating a tip at a restaurant or determining the square footage of a room. But what role does math play ...

Forbes contributors publish independent expert analyses and insights. I write about neuroscience and its intersection with technology. Jul 28, 2024, 03:10pm EDT When the whole is greater than the sum ...

Isolating the first spark of life on Earth is a matter of biology, geology, and chemistry—but it's also an amazing math problem. At least, that's how Varun Varanasi viewed it when he was a Yale ...

AI thrives on data but feeding it the right data is harder than it seems. As enterprises scale their AI initiatives, they face the challenge of managing diverse data pipelines, ensuring proximity to ...