Evolutionary Topology Search for Tensor Network Decomposition

Jul 12, 2020

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Tensor network (TN) decomposition is a promising framework to represent extremely high-dimensional problems with few parameters. However, it is challenging to search the (near-)optimal topological structure for TN decomposition, since the number of possible solutions exponentially grows with increasing the order of tensor. In this paper, we claim that this issue can be practically tackled by evolutionary algorithms in an efficient manner. We encode the complex topological structures into binary string, and develop a simple yet efficient genetic-based algorithm (GA) to search the optimal topology on Hamming space. The experimental results by both synthetic and real-world data demonstrate that our method can efficiently discovers the groundtruth topology or even better structures with few number of generations, and significantly boost the representational power of TN decomposition compared with well-known tensor-train (TT) or tensor-ring (TR) models.

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The International Conference on Machine Learning (ICML) is the premier gathering of professionals dedicated to the advancement of the branch of artificial intelligence known as machine learning. ICML is globally renowned for presenting and publishing cutting-edge research on all aspects of machine learning used in closely related areas like artificial intelligence, statistics and data science, as well as important application areas such as machine vision, computational biology, speech recognition, and robotics. ICML is one of the fastest growing artificial intelligence conferences in the world. Participants at ICML span a wide range of backgrounds, from academic and industrial researchers, to entrepreneurs and engineers, to graduate students and postdocs.

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