Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” ...
The group — consisting of then-postdocs Sahar Diskin and Philip Easo, graduate student Ritvik Ramanan Radhakrishnan, Benny ...
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help ...
By doubling their entire genome, organisms can evolve extremely rapidly — or they can lose it all. New studies reveal how to ...
The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without ...
To explore quantum phenomena, we must leave the familiar world and enter the abstract realm of Hilbert space. Quantum objects ...
Computer scientist Melanie Mitchell discusses why artificial intelligence doesn’t “think” or “reason” like humans, and how we can create better methods for measuring machine cognition. Building a ...
The quest to make mathematics rigorous has a long and spotty history — one mathematicians can learn from as they push to formalize everything in the computer program Lean.
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help and harm her field. Computer scientist Melanie Mitchell discusses why ...
The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without them. For the first time in 30 years, computer scientists have found a ...