Abstract:In this paper, we show a novel method for solving the preimage problem. The most algorithms of dimension reduction are trying to maintain the geometric structures including the local and the global. Usually we assume that the manifolds are local linear. Given the assumption, we can obtain the reconstructing images by calculating the locally optimal linear fits. In the novel pre-image algorithm, firstly we find the k nearest neighbours of test samples in feature space, and then calculate the optimal approximati… Show more
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