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Linear classifier

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Xinfan Meng
Xinfan Meng

A practical overview of linear classifier, including perceptron, SVM, structured perceptron and CRF. Some materials are copied from other slides.

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A  Prac'cal  Overview  of  Linear   Classifier
Discrimina've/Genera've  Pair
Ques'ons •  Advantages/disadvantages  of  genera've/ discrimina've  model?   •  Can  we  combine  genera've  and  discrimina've   model?
Outline •  Perceptron   •  Margin   •  Kernel   •  Structure   •  Online   •  Ensemble
Generic  Perceptron
Margin
Max  Margin  Helps
Percptron  VS  SVM
Theory •  Theore'cal  jus'fica'on:   –  Large  margin  implies  small  VC  dimension   •  Sta's'cal  Learning  Theory  (SLT)   –  VC-­‐dimension  (Vapnik-­‐Chervonenkis)   •  Probably  Approximately  Correct  (PAC)  Theory  
Parameter  Es'ma'on   •  SMO  algorithm   •  Online  algorithm
Classifier  Comparison  on   Sen'ment  Classifica'on Accuracy
Ques'ons •  What  if  not  linear  separable?   •  Can  SVM  be  used  when  some  data  do  not   have  labels?
Kernel
Why  Linear  Classifier •  Simple   •  Applicable   •  Fast
Kernel:  Nonlinear  -­‐>  Linear  
Kernel  SVM
Ques'ons •  What  is  the  best  kernel?   •  Can  we  use  mul'ple  kernels?   •  kernels  for  NLP?
Structure
Feature  Func'ons
Applica'on1:  POS  Tagging
Applica'on2:  NP  Chunking
Ques'ons •  Rela'onship  to  CRF?   •  Structured  SVM?   •  Maximum  Margin  Markov  Network?
Ensemble  Perceptron •  Many  classifiers  are  beXer  than  one   •  Vo'ng  perceptron   •  Average  perceptron
Online  Learning •  Batch   •  Online   •  MiniBatch
Implementa'ons Algorithm Implemena/on Perceptron Sklearn(Python),  Weka(Java) SVM LibSVM,  LibLinear(Linear  kernel) Logis'c  regression/Maximum  Entropy LibLinear CRF CRF++,  CRFSuite Naïve  Bayes Sklean,  Weka
Perceptron  and  Beyond Kernel Online Kernel  SVM Online  SVM Kernel  perceptron Online  CRF Perceptron Margin Vo'ng  perceptron Linear  SVM Ensemble Averaged  perceptron Margin  perceptron Structured  Perceptron Boos'ng Structured  SVM CRF M3N Structure
Examples •  hXp://www.mathworks.com/matlabcentral/ fileexchange/28302-­‐svm-­‐demo   •  hXp://www.eee.metu.edu.tr/~alatan/ Courses/Demo/AppletSVM.html

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Linear classifier