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An important notion for a classier is that of consistency. Roughly, a classication algorithm is consistent if, whenever it has access to innite amounts of

An important notion for a classier is that of consistency. Roughly, a classication algorithm is consistent if, whenever it has access to innite amounts of training data, its error rate approaches the optimal error rate. Consider the noise-free setting, where the optimal error rate is zero. Is the one-nearest-neighbor algorithm consistent in this setting?

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