What is the purpose of the function ϕ : (X × Y) ∧ K → Y in the general form of…

2025

What is the purpose of the function ϕ : (X × Y) ∧ K → Y in the general form of the K-NN rule?

  1. A.

    To define the similarity function

  2. B.

    To compute the final prediction based on the K nearest neighbors

  3. C.

    To measure the variance in the data

  4. D.

    To reorder the training set

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Correct answer: B

In the general K-NN rule, the function ∅ acts as the decision rule that aggregates information from the selected neighbors. It maps the input and neighbor data to a final output in Y, typically through majority voting for classification or averaging for regression.

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