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Comparison of ML Algorithms: Naive Bayes, Logistic Regression, Perceptron, LDA, Decision T, Exams of Computer Science

A comparison of various machine learning algorithms, including naive bayes, logistic regression, perceptron, lda, decision trees, and nearest neighbor. The comparison covers their flexibility, robustness, and computational efficiency. Topics include interpretability, handling of missing values and noise/outliers, irrelevance of features, and monotone transformations. The document also discusses the use of trees and neural networks, and provides a summary of each model.

Typology: Exams

Pre 2010

Uploaded on 09/17/2009

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Comparison
Some-
what
YesYesYesinterpret
able
mixedNumericNumeric
numeric
Data
Fair/poorOkFatalBadOutliers
yesNoNoyesMissing
values
P(x|y)P(y|x)LTUP(x|y)Models
Naïve
Bayes
Logistic
regression
Perceptron
LDA
Robustness
someBadBadBad
irrelevant
features
goodgoodgoodgood
Compute
time
maybenono
noMonotone
transform
Naïve
Bayes
Logistic
regression
Perceptron
LDA
Tree and NN comparison
Training set no,
but ok for test points
TricksMissing values
Good with knnGood with
pruning
Noise/outliers
Only in 1 or 2
dimensions
If small treeinterpretable
Usually NumericmixedData
Instance based,
flexible
Trees -
flexible
Model
Nearest NeighborDecision
Trees
Tree and KNN Robustness
Lazy -
expensive
OKComputation
time
Very badFairIrrelevant
features
Very badGreat
Monotone
transformation
Nearest
neighbor
Decision tree
Neural Net Summary
Model: somewhat flexible, ve ry flexible over all
topologies, but must pick topology ,
Data: Numeric
Interpretable? NO (but some pretty pictures)
Missing values? NO
Noise/outliers? Very good
Irrelevant features? N o
Comp. efficiency? Good

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Comparison

Some- what interpret Yes Yes Yes able Data numeric Numeric Numeric mixed Outliers Bad Fatal Ok Fair/poor Missing yes No No yes values Models P(x|y) LTU P(y|x) P(x|y) Naïve Bayes Logistic regression LDA^ Perceptron

Robustness

irrelevant Bad Bad Bad some features Compute good good good good time Monotone no no no maybe transform Naïve Bayes Logistic regression LDA^ Perceptron

Tree and NN comparison

Training set no, but ok for test points Missing values Tricks Good with Good with knn pruning Noise/outliers Only in 1 or 2 dimensions interpretable If small tree Data mixed Usually Numeric Instance based, flexible Trees - flexible Model Decision Nearest Neighbor Trees

Tree and KNN Robustness

Lazy - expensive Computation OK time Irrelevant Fair Very bad features Monotone Great Very bad transformation Nearest neighbor Decision tree

Neural Net Summary

  • Model: somewhat flexible, very flexible over all topologies, but must pick topology,
  • Data: Numeric
  • Interpretable? NO (but some pretty pictures)
  • Missing values? NO
  • Noise/outliers? Very good
  • Irrelevant features? No
  • Comp. efficiency? Good