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A non-parametric method of classification and regression. The input consists of the $k$ closest training examples in the feature space. The output is either the mode of the neighbors (in classification) or their mean (in regression).

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Training data grow with K-NN and Naive Bayes

My doubt is about the grow of the training data using K-NNs and Naive Bayes. As it grows larger, does prediction (on test data) become also computationally harder?
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