Legendre Tensor Decomposition

02/13/2018

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by   Mahito Sugiyama, et al.

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We present a novel nonnegative tensor decomposition method, called Legendre decomposition, which factorizes an input tensor into a multiplicative combination of parameters. Thanks to the well-developed theory of information geometry, the reconstructed tensor is unique and always minimizes the KL divergence from an input tensor. We empirically show that Legendre decomposition can more accurately reconstruct tensors than nonnegative CP and Tucker decompositions.