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But what is cross-entropy? | Compression is Intelligence Part 2

3Blue1Brown

Where the loss function for training LLMs comes from. Job opportunities aligned to this audience: https://3b1b.co/talent Early views and other perks for supporters: https://3b1b.co/support Home page: https://www.3blue1brown.com Part 1: https://youtu.be/l6DKRf-fAAM If you want to learn more about Lagrange Multipliers, I made multiple videos and articles for the topic back in my Khan Academy days: https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives/lagrange-multipliers-and-constrained-optimization/v/constrained-optimization-introduction Manim animati

Sphere Intersection Puzzle Corrected

Part of a series of monthly puzzles Early view of some other solutions: https://members.3blue1brown.com/posts/solution-to-10-158885046 https://members.3blue1brown.com/posts/solution-to-sum-156593740

There's never been a better time to go into math

Sharing a few thoughts on the future of math These videos are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://

The Phone Number puzzle

Part of a monthly series of puzzles: https://momath.org/mindbenders/

The last IMO problem AI could not solve

A beautiful puzzle that eluded AI, and the intuition it requires. Check out our virtual career fair: https://3b1b.co/talent See new videos early: https://3b1b.co/support An equally valuable form of su

Reinventing Entropy | Compression is Intelligence Part 1

How to study the compressibility of language. Check out our virtual career fair: https://3b1b.co/talent See new projects before they go live: https://3b1b.co/support Animation credit: Manim scenes by