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Machine learning/Classification algorithms

From Wikiversity

Classification is a subcategory of supervised learning problems.

k-nearest neighbor

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  • a simple classification algorithm
  • Intuition: Find the majority vote in the training data
  • This is a discriminative model, meaning that there is no way to generate the training data points

Algorithm

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  • Define some distance metric or similarity metric. The simplest case is Euclidean distance.
  • Given some input point , find the 'th nearest neighbors from the training set.
  • Do a majority vote between these nearest neighbor list and classify the input point as the category with highest number of vote.

Probabilistic interpretation

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Consider the classification output as a random variable . Define probability of given input and training data is

The output of the classification is

Read more about probabilistic interpretation here: