Bounded Differences Inequality (aka Azuma-Hoeffding Inequality)
MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/courses/18-226-pr... YouTube Playlist: • MIT 18.226 Probabilistic Methods in Combin... An important tail bound in probabilistic analysis. A Lipschitz function with independent random inputs is concentrated about its mean. Two applications: (1) coupon collector problem (2) chromatic number of a random graph. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.

Threshold for a Random Graph to Contain a Triangle

Markov's Inequality ... Made Easy!

L18.2 The Markov Inequality

Ricci Flow - Numberphile

A Visual Introduction to Hoeffding's Inequality - Statistical Learning Theory

Terence Tao: Nobody Understands Why AI Actually Works

Lower Bounds to Ramsey Numbers

Jensen's Inequality

S18.2 Jensen's Inequality

But what is the Central Limit Theorem?

Chebyshev's Inequality in Probability: Second Order Estimates

When Math Isn’t Based in Reality

New Jellyfish Aquarium • Healing of Stress, Anxiety and Depressive States • Goodbye Insomnia #30

Turing Award Winner: Disagreeing with Google, Postgres, Future Problems | Mike Stonebraker

Class 16, Video 2: Azuma-Hoeffding Inequality

6. Monte Carlo Simulation

S18.3 Hoeffding's Inequality

Clara Mattei: capitalism is not natural - it’s enforced

MIT Godel Escher Bach Lecture 1

