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This document presents a novel rank-adaptive higher-order orthogonal iteration (HOOI) algorithm for truncated Tucker decomposition of higher-order tensors, demonstrating local optimality and monotonic convergence. The proposed algorithm outperforms existing methods in terms of accuracy and efficiency, as validated through numerical experiments. Additionally, the paper provides a detailed analysis of the HOOI algorithm and its relation to classical alternating least squares methods.

Author

lethuongde290605

Language

EN