As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous ...

More than 70 years ago, researchers at the forefront of artificial intelligence research introduced neural networks as a revolutionary way to think about how the brain works. In the human brain, ...

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Abstract: There has been significant recent work on solving PDEs using neural networks on infinite dimensional spaces. In this talk we consider two examples. First, we prove that transformers can ...

When you think about how a neural network can beat a Go champion or otherwise accomplish tasks that would be impractical for most computers, it's tempting to attribute the success to math. Surely it's ...

The challenge of speeding up AI systems typically means adding more processing elements and pruning the algorithms, but those approaches aren’t the only path forward. Almost all commercial machine ...

Over the last few years, we've heard a lot about neural networks, whether its Google's Deep Dream software creating horrifying digital dreamscapes or composites of pop songs written by a machine. But ...

This collection of lectures focused on recent advancements in our understanding of how information is encoded and processed in the brain. It consisted of a series of three talks by three researchers ...

Here’s a challenge for the mathematically inclined among you. Solve the following differential equation for y: You have 30 seconds. Quick! No dallying. The answer, of course, is: If you were unable to ...

Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the general structure of lectures. In this paper, we adapt ...