Introduction In the context of stalled progress in reducing malaria burden and ongoing efforts to develop novel vector ...

Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

Elon Musk’s plans for the future of SpaceX, and humanity, are rooted in an idea conceived in the 1960s when astronomers began to pick up mysterious, unknown radio sources in the cosmos. Soviet ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...

The post on my blog, has much more details on the math of how to bridge the attention operator (a nonlinear operator)'s approximation capacity with a linear operator (Petrov-Galerkin projection). The ...

The distribution of a categorical variable in a sample often needs to be compared with the distribution of a categorical variable in another sample. For example, over a period of 2 years a ...

After 44 years, there’s finally a better way to find approximate solutions to the notoriously difficult traveling salesperson problem. When Nathan Klein started graduate school two years ago, his ...

Werner Heisenberg won the 1932 Nobel Prize for helping to found the field of quantum mechanics and developing foundational ideas like the Copenhagen interpretation and the uncertainty principle. The ...