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Best rank-k approximations for tensors: generalizing Eckart–Young
Draisma, Jan; Ottaviani, Giorgio; Tocino-Sánchez, Alicia(Springer Link, 2018)
Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we call the critical rank-at-most-k tensors for f. When ...