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At that point, the neural network has discovered a valid tensor decomposition, since it’s mathematically guaranteed that the sum of all the rank-1 tensors is exactly equal to the starting tensor. And ...
Michael Stolz, Tatsuya Tate, Asymptotics of Matrix Integrals and Tensor Invariants of Compact Lie Groups, Proceedings of the American Mathematical Society, Vol. 136, No. 6 (Jun., 2008), pp. 2235-2244 ...
B. R. Judd, The Matrix Elements of Tensor Operators for Configurations of Three Equivalent Electrons, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 250 ...