Boosting and Ensemble Learning
Klaus- ̈ller
Klaus- ̈ller Lecture at TUB 2022
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Recap: Statistical Learning setup
Klaus- ̈ller Lecture at TUB 2022
Recap: Statistical Learning setup II
Klaus- ̈ller Lecture at TUB 2022
SRM- the picture
Klaus- ̈ller Lecture at TUB 2022
SVM vs. Boosting
Klaus- ̈ller Lecture at TUB 2022
VC dimension: example
Klaus- ̈ller Lecture at TUB 2022
The Basic idea behind boosting
Ensemble Learning and Classification
Klaus- ̈ller Lecture at TUB 2022
The Adaboost Algorithm
Klaus- ̈ller Lecture at TUB 2022
Adaboost Algorithm: illustration
Klaus- ̈ller Lecture at TUB 2022
Experimental Motivation
Klaus- ̈ller Lecture at TUB 2022
Error Function of Adaboost
Klaus- ̈ller Lecture at TUB 2022
Theoretical Motivation PAC boosting
PAC Boosting – exponential convergence
Klaus- ̈ller Lecture at TUB 2022
PAC Boosting – VC dimension of combined Hypothesis
Klaus- ̈ller Lecture at TUB 2022
PAC Boosting – Digestion
Klaus- ̈ller Lecture at TUB 2022
A strange Phenomenon
Klaus- ̈ller Lecture at TUB 2022
Theoretical Motivation margin distributions
Margin Distributions – definitions
Klaus- ̈ller Lecture at TUB 2022
Margin Distributions – illustration
Klaus- ̈ller Lecture at TUB 2022
Margin Distributions – lower bounding the margin
Klaus- ̈ller Lecture at TUB 2022
Margin Distributions – Large Margin Hyperplanes
Klaus- ̈ller Lecture at TUB 2022
Margin Distributions – a bound
Klaus- ̈ller Lecture at TUB 2022
SVM vs. Boosting
Klaus- ̈ller Lecture at TUB 2022
Boosting in the limit
An error function for Adaboost
Klaus- ̈ller Lecture at TUB 2022
What happens in the long run?
Klaus- ̈ller Lecture at TUB 2022
Support Vector vs Support Patterns
Klaus- ̈ller Lecture at TUB 2022
Mathematical Programs: SVMs vs. Boosting
Mathematical Program Formulation- SVMs
Klaus- ̈ller Lecture at TUB 2022
Boosting as a Mathematical Program
Klaus- ̈ller Lecture at TUB 2022
Soft Margins
Klaus- ̈ller Lecture at TUB 2022
Hard Margin Classification
Klaus- ̈ller Lecture at TUB 2022
Adaboost with Soft Margins
Klaus- ̈ller Lecture at TUB 2022
Adaboost with Soft Margins
Klaus- ̈ller Lecture at TUB 2022
Adaboost with Soft Margins
Klaus- ̈ller Lecture at TUB 2022
Regularizing Adaboost – Reducing the Influence
Klaus- ̈ller Lecture at TUB 2022
Regularizing Adaboost
Klaus- ̈ller Lecture at TUB 2022
Benchmark Comparison
Klaus- ̈ller Lecture at TUB 2022
Experimental Results
Klaus- ̈ller Lecture at TUB 2022
Other Applications
Recently more…
Klaus- ̈ller Lecture at TUB 2022
Conclusions
Klaus- ̈ller Lecture at TUB 2022
Sources of Information
Acknowledgements to Gunnar Rätsch
Klaus- ̈ller Lecture at TUB 2022
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