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Introduction to Machine Learning Aristotelis Tsirigos email: tsirigos@cs.nyu.edu  Dennis Shasha - Advanced Database Systems NYU Computer Science
What is Machine Learning? ,[object Object],[object Object],[object Object]
Learning models ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Types of learning problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bayesian learning - Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],Bayesian learning - Elaboration
Bayesian learning - Independence ,[object Object],[object Object],[object Object]
Bayesian learning - Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bayesian learning - Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bayesian learning - Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Nearest Neighbor - Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Nearest Neighbor - Details ,[object Object],[object Object],[object Object],[object Object],[object Object],Classification rule: y i  : label for point  x i w i  : weight for  x i x N( x )
Nearest Neighbor - Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Decision Trees - Introduction ,[object Object],[object Object],[object Object],[object Object],YES NO LOW HIGH BAD NO YES LOW HIGH BAD NO NO HIGH LOW BAD NO NO LOW LOW BAD YES YES LOW LOW GOOD NO NO HIGH LOW GOOD YES NO LOW HIGH GOOD YES YES LOW HIGH GOOD YES NO HIGH HIGH GOOD YES YES HIGH HIGH GOOD Elected War casualties Gas prices Popularity Economy
Decision Trees - The model  ,[object Object],[object Object],[object Object],[object Object],Economy Popularity War Gas prices Popularity GOOD LOW HIGH HIGH LOW BAD HIGH LOW YES NO YES=4 NO=0 YES=0 NO=1 YES=1 NO=0 YES=0 NO=1 YES=1 NO=0 YES=0 NO=2
Decision Trees - Training ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Decision Trees - Overfitting ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Decision Trees - Pruning ,[object Object],Economy Popularity War Gas prices Popularity GOOD LOW HIGH HIGH LOW BAD HIGH LOW YES NO YES=4 NO=0 YES=0 NO=1 YES=1 NO=0 YES=0 NO=1 YES=1 NO=0 YES=0 NO=2 ,[object Object]
Decision Trees - Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Linear Classifiers - Introduction ,[object Object],[object Object],Decision function: Predicted label:
Linear Classifiers - Margins ,[object Object],[object Object],[object Object],[object Object],f( x )=0
Linear Classifiers - Optimization ,[object Object],[object Object],[object Object],[object Object],[object Object]
Linear Classifiers - Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Linear Classifiers - Outliers ,[object Object],f( x )=0 ,[object Object],outlier
Linear Classifiers - Nonlinearity (!) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Linear Classifiers - Summary ,[object Object],[object Object],[object Object],[object Object]
Ensembles - Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Ensembles - Bagging ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Ensembles - Boosting ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bagging vs. Boosting ,[object Object],Margin maximization Risk minimization Effect Simple Complex  Base learner Adaptive data weighting Partition before training Training data Boosting Bagging
Testing the learner ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Learner evaluation - PAC learning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Learner evaluation - VC dimension ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Practical issues ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Resources ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Introduction to Machine Learning Aristotelis Tsirigos

  • 1. Introduction to Machine Learning Aristotelis Tsirigos email: tsirigos@cs.nyu.edu Dennis Shasha - Advanced Database Systems NYU Computer Science
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