Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...

Overview: Large Language Models predict text; they do not truly calculate or verify math.High scores on known Datasets do not ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

Adding one irrelevant sentence to math problems causes AI systems to make confident mistakes over 300 percent more.

Stripes are common in our lives. It’s a pretty basic pattern, and easy to take for granted. As an applied mathematician who studies how patterns form in nature, though, I am wowed by the striped ...

Scientists mapping the human body at the cellular level keep running into the same surprise: beneath the apparent chaos of tissues and organs, there is a hidden order that looks a lot like pure ...

Math in economics — as well as its smaller cousin finance — is seductive for a number of reasons. One is simply our human brain. Illusory pattern perception is a well-documented occurrence whereby our ...

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 ...