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An interview with Alex Davies

25 January 2023
  • Quantitative Research

Alex Davies is a machine learning researcher at DeepMind, leading efforts to understand how machine learning can be used to solve fundamental problems and make new discoveries in mathematics.

He completed his PhD in machine learning at Trinity College, Cambridge in 2014 under Zoubin Ghahramani, which was awarded the outstanding thesis prize by G-Research.

As part of the G-Research Distinguished Speaker Series, Alex Davies was one of three speakers at the 2022 Computer Guided Mathematics Symposium, speaking alongside Sir Timothy Gowers (Professeur titulaire of the Combinatorics chair at the Collège de France) and Kevin Buzzard (Imperial College).

Machine Learning with Mathematicians

Alex’s talk delves into how machine learning can help mathematicians find new patterns in their research, with the aim of proving results and theorems across different areas of mathematics.

“Machines can spot these patterns far better than humans can,” says Alex. ”[But] the only way that this is going to scale and have a really big impact in mathematics is if people know about it and they see enough value to use it themselves.”

An interview with Sir Timothy Gowers
  • Machine Learning
  • 25 Jan 2023
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An interview with Alex Davies (DeepMind)

So I've loved mathematics and computer science since before I can remember, since I was a really little kid. Um, I got excited about machine learning when I was at undergrad at university from a course that was given by someone who'd visiting from the tax office in Australia and showed how they were using machine learning to try and find tax sheets and people who were filling in the forms in a way that was wrong that they could actually detect with computers. And this was a, a really surprising thing to me that they were able to use these algorithms in order to do this. And this made me really change a lot of what I wanted to focus on, to understand how these techniques work. And that was the beginning of my work in machine learning. At the moment, I'm working, uh, a DeepMind on finding ways we can use new discoveries in machine learning to help mathematicians and help make new mathematical discoveries. I think some of the work that we've done so far describe both as the tip of the iceberg and low hanging fruit. There are some easy wins of really interesting patterns in mathematics that are just outside of the perceptual reach of human mathematicians who have had this data for 30 years and, uh, haven't noticed these kind of relatively simple patterns, uh, just because this is not something that we are good at. But it's something that machine learning is, is very good at. This is the tip of the iceberg in finding places to apply this, uh, where machines can spot these patterns far better than humans can. One of the things I'm actually quite proud of in our work is the fact that not a lot of computational resources are needed to spot these patterns. In the case of the work topology, uh, you can recreate the results with a, a laptop in about 30 seconds. And for some of the more sophisticated results I'll talk about, you can still do it in three hours on A GPU, which is freely available to, to anyone in the world. I think it's super important for me personally to communicate, especially this kind of research, because what this has been about for us is demonstrating that it is possible to take relatively well-known techniques in machine learning and then apply them in a way to get these, uh, fantastic results. But the only way that this is going to scale and be used to really have a big impact in mathematics is if people know about it and they see the value enough to use it themselves. This evening, I'll be talking about some of our first work that we've, we've published about using machine learning to help some of the best mathematicians in the world find new patterns, new structure in the mathematical objects that they study In, uh, a way that then has helped 'em to prove new, uh, impactful results in these different areas of maths, uh, that they, they work in.
Open video transcript

G-Research Distinguished Speaker Series

Throughout the year, we host a number of speakers as part of G-Research’s Distinguished Speaker Series.

We pride ourselves on our learning environment, which gives people the opportunity to develop personally and professionally within their roles, and our Distinguished Speaker Series is central to that.

We invite global experts in their fields to discuss their cutting-edge work with an audience of G-Research employees and guests, giving attendees the chance to learn from the best.

Want to watch the talks, panel discussion and interviews from our Computer Guided Mathematics Symposium? Watch here

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