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Ensemble Method

Ensemble Method Ensemble Definition: A set of learned models whose individual decisions are combined in some way to make predictions for new instances. When ensemble does a better job? The errors made by the individual predictors are (somewhat) uncorrelated, and the predictors’ error rates are better than guessing (< 0.5 for 2-class pro...

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Support Vector Machine

Support Vector Machines Motivation Linear classification usually assume perfect separation between the two classes. However, if a new data point is introduced to the system, the current linear model may not be able to capture it. Therefore, the margin is introduced to address this problem. Margin Lemma 1 $x$ has distance $\frac{|f_w(x)|}{||w|...

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Decision Tree

Decision Tree Overview Simple Structure Each internal node tests one features $x_i$. Each branch from an internal node represents one outcome of the test. Each leaf predicts $y$ or $P(y|x)$ Top-down decision tree learning Pseudocode MakeSubtree(set of training instances $D$) $\quad\quad C$ = DetermineCandidateSplits($D$) $\quad\quad$if stoppin...

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