Papers › Efficient computation of higher order cumulant tensors
Efficient computation of higher order cumulant tensors
Krzysztof Domino, Piotr Gawron, Łukasz Pawela
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In this paper, we introduce a novel algorithm for calculating arbitrary order cumulants of multidimensional data. Since the dᵗʰ order cumulant can be presented in the form of an d-dimensional tensor, the algorithm is presented using tensor operations. The algorithm provided in the paper takes advantage of super-symmetry of cumulant and moment tensors. We show that the proposed algorithm considerably reduces the computational complexity and the computational memory requirement of cumulant calculation as compared with existing algorithms. For the sizes of interest, the reduction is of the order of d! compared to the naive algorithm.
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