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Nonnegative Tucker Decomposition  

Kim, Yong-Deok (포항공과대학교 컴퓨터공학과)
Choi, Seung-Jin (포항공과대학교 컴퓨터공학과)
Abstract
Nonnegative tensor factorization(NTF) is a recent multiway(multilineal) extension of nonnegative matrix factorization(NMF), where nonnegativity constraints are imposed on the CANDECOMP/PARAFAC model. In this paper we consider the Tucker model with nonnegativity constraints and develop a new tensor factorization method, referred to as nonnegative Tucker decomposition (NTD). We derive multiplicative updating algorithms for various discrepancy measures: least square error function, I-divergence, and $\alpha$-divergence.
Keywords
Subspace Analysis; Nonnegative Matrix Factorization; Tensor Factorization;
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