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

machine learning

vapnik

chervonenkis

theory

data

hoeffding's

concentration inequality

generalization

PAC learning

probably

learning theory

occam's razor

geometric deep learning

prior knowledge

bounds

erlangen

model

Support Vector Machines

complexity

capacity

3blue1brown

statistical learning theory

OOD

Generalization

Equivariant

Symmetries

Data

Data efficiency

test

underfitting

overfitting

crazy

delusional

bayesian

generalization guarantee

universal function approximation

Автор: Kartik Chincholikar

Загружено: 2022-01-06

Просмотров: 8696

Описание: This video is based on the following series of lectures:
Learning from data. Professor Yaser Abu-Mostafa, Caltech: https://tinyurl.com/4wkr7prx
Machine learning Theory. Professor Shai Ben-David and Shai Shalev-Shwartz: https://tinyurl.com/26v5btve

In this video we take a look at the strict Statistical Learning Theory framework for Supervised Classification. We take a quick look at Hoeffding's inequality, PAC Learning, the bias-complexity tradeoff and the feasibility of learning.

Timestamps :
0:00 – Intro
0:15 – Law of Large numbers
2:47 – Hoeffding’s Inequality
5:46 – Feasibility of Learning for Finite Hypothesis Classes
10:32 –The bias-complexity tradeoff
11:18 – Need for a better measure of complexity?
11:46 – The same is true for stochastic distributions as well!
_______________________________________
References:

Books:
Understanding Machine Learning: From Theory to Algorithms | Shai Shalev-Shwartz and Shai Ben-David

Learning From Data | Yaser Abu-Mostafa ,Malik Magdon-Ismail , Hsuan-Tien Lin

Foundations of Machine Learning | Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar


Blogs:
https://thirdorderscientist.org/homoc...
https://scottaaronson.blog/?p=3712
https://oneraynyday.github.io/ml/2017...
https://jeremykun.com/2014/01/02/prob...
https://web.stanford.edu/class/cs229t...
http://www.learningtheory.org/learnin...
http://www.offconvex.org/2017/12/08/g...
https://cs.stackexchange.com/question...
https://hunch.net/?p=496
https://hunch.net/?p=224
https://hunch.net/?cat=37&paged=2

Videos:
   • 9.520/6.860: Statistical Learning Theory a...  
   • Varun Kanade: Statistical Learning Theory I  
   • Statistical Learning I Robert Schapire Mic...  
   • Sanjeev Arora: Toward Theoretical Understa...  
   • AMMI Course "Geometric Deep Learning" - Le...  

What to watch if you find this too easy?
   • AMMI Course "Geometric Deep Learning" - Le...  

__________________________________________________
Social Media:
Kartik Chincholikar Website: https://kartikchincholikar.github.io/
Github: https://github.com/kartikchincholikar
Twitter:   / kartikc14  
_______________________________________________
I love coffee! Help fund future projects:
https://www.buymeacoffee.com/karti
_______________________________________________
Music:
Track: Such Memories
Music composed and recorded by Oak Studios
Creative Commons - Attribution ND 4.0
   • [No Copyright Music] Such Memories - Soft ...  

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