Abstract: Hierarchical alternating least squares (HALS) algorithms are efficient computational methods for nonnegative matrix factorization (NMF).
In this paper, we consider the HALS algorithm for the Frobenius norm- based NMF, and prove that a modified version has the global convergence property in the ...
This paper proposes a novel well-defined update rule of the HALS algorithm, and proves its global convergence in the sense of Zangwill, and allows variables ...
Apr 30, 2022 · In this paper, we propose a novel well-defined update rule of the HALS algorithm, and prove its global convergence in the sense of Zangwill.
Oct 22, 2024 · For the computation of nonnegative matrix factorization, multiplicative algorithms and their updates were also proposed together with global ...
In this paper, we propose a novel well-defined update rule of the HALS algorithm, and prove its global convergence in the sense of Zangwill. Unlike conventional ...
Nov 1, 2022 · Unlike conventional globally-convergent update rules, the proposed one allows variables to take the value of zero and hence can obtain sparse ...
Unlike conventional globally-convergent update rules, the proposed one allows variables to take the value of zero and hence can obtain sparse factor matrices.
In this paper, we propose a novel well-defined update rule of the HALS algorithm, and prove its global convergence in the sense of Zangwill. Unlike conventional ...
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Jul 24, 2024 · A novel update rule of HALS algorithm for nonnegative matrix factorization and Zangwill's global convergence. Article Open access 30 April ...