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The Quanta Podcast

Foundations Built for a General Theory of Neural Networks

The Quanta Podcast

Quanta Magazine

Physics, Life Sciences, Science

4.7640 Ratings

🗓️ 5 December 2019

⏱️ 17 minutes

🧾️ Download transcript

Summary

Neural networks can be as unpredictable as they are powerful. Now mathematicians are beginning to reveal how a neural network’s form will influence its function.

The post Foundations Built for a General Theory of Neural Networks first appeared on Quanta Magazine

Transcript

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0:00.0

Welcome to Quantum Magazine's podcast.

0:08.0

Each episode we bring you stories about developments in science and mathematics.

0:13.0

I'm Susan Vallett.

0:15.0

When we design a skyscraper, we expect it will perform to specification.

0:20.0

The tower should support so much weight.

0:22.7

It should be able to withstand an earthquake of a certain strength.

0:26.2

It may slightly sway in strong winds, but it will remain standing.

0:31.5

But with one of the most important technologies of the modern world, we're effectively building

0:36.8

blind. We play with different designs and tinker with different setups,

0:41.3

but until we take it out for a test run, we don't really know what it can do or where it will fail.

0:47.3

What technology is that?

0:49.3

The neural network, which underpins today's most advanced artificial intelligence systems.

1:00.0

Increasingly, neural networks are moving into the core areas of society.

1:06.0

They determine what we learn of the world through our social media feeds.

1:13.0

They help doctors diagnose illnesses.

1:18.3

They even influence whether you'll spend time in jail if you're convicted of a crime.

1:26.2

Boris Hannan is a mathematician at Texas A&M University and a visiting scientist at Facebook AI research.

1:29.1

He says in the past year or so, we've just started to get the language that will help explain some of the success of deep learning.

1:34.9

Hanning compares the situation with neural networks to the development of the steam engine.

1:39.7

The first steam engines were incredibly inefficient. All they could do is pump water. They just were not

1:45.0

engineered very well because the idea was so raw. But then 50 years later, there were already

1:49.9

railroads all across England. The steam engine was good enough to power a locomotive.

...

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