Over the years, mathematicians found that the twisted shapes exist in dimensions 2, 6, 14, 30 and 62. They also showed that ...

La Géométrie, a short appendix that appeared in Descartes’ famous Discourse on the Method, laid the foundations of analytic ...

With AI, “we are in the process not of re-creating human biology,” said Thomas Naselaris, a neuroscientist at the University ...

In the course of reporting this series on the impact of artificial intelligence on science and math, Quanta writers interviewed close to 100 experts — computer scientists, biologists, physicists, ...

AI researchers are using techniques inspired by neuroscience to study how language models work — and to reveal how perplexing they can be.

Neural networks power today’s AI boom. To understand them, all we need is a map, a cat and a few thousand dimensions.

When Mario Krenn was studying quantum physics at the University of Vienna, he was trained in a particular way of designing new experiments: “You go to a blackboard, and you think very hard,” he said.

Artificial intelligence moves fast, so the first step in understanding it — and its role in science — is to know the lingo. From basic concepts like “neural networks” and “pretraining” to more ...

Spin glasses might turn out to be the most useful useless things ever discovered. These materials — which are typically made of metal, not glass — exhibit puzzling behaviors that captivated a small ...