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Demystifying Neural Style Transfer

Demystifying Neural Style TransferYanghao Li Naiyan Wang Jiaying Liu Xiaodi Hou Institute of Computer Science and Technology, Peking University Style Transfer [Gatyset al., 2016]has re-cently demonstrated very exciting results whichcatches eyes in both academia and industry. De-spite the amazing results, the principle of neuralstyle Transfer , especially why the Gram matricescould represent Style remains unclear. In this pa-per, we propose a novel interpretation of neuralstyle Transfer by treating it as a domain adapta-tion problem. Specifically, we theoretically showthat matching the Gram matrices of feature mapsis equivalent to minimize the Maximum Mean Dis-crepancy (MMD) with the second order polynomialkernel.

fundamental element of style representation: the Gram ma-trix in [Gatys et al., 2016] is not fully explained. The reason Corresponding author why Gram matrix can represent artistic style still remains a mystery. In this paper, we propose a novel interpretation of neu-ral style transfer by casting it as a special domain adapta-

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