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Vector Field of Denoising Autoencoders

Vector field learned by a denoising autoencoder around a 1-D curved manifold near which the data concentrate in a 2-D space. Each arrow is proportional to the reconstruction minus input vector of the autoencoder and points towards higher probability according to the implicitly estimated probability distribution. Where probability is maximal, the arrows shrink because the reconstruction becomes more accurate.

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Updated 2021-07-29

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Data Science

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