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Type: Conference paper
Title: Efficient orthogonal non-negative matrix factorization over stiefel manifold
Author: Zhang, W.
Tan, M.
Sheng, Q.
Yao, L.
Shi, Q.
Citation: Proceedings of the 25th ACM International Conference on Information and Knowledge Management (CIKM '16), 2016 / vol.24-28-October-2016, pp.1743-1752
Publisher: Association for Computing Machinery (ACM)
Issue Date: 2016
ISBN: 9781450340731
Conference Name: ACM International Conference on Information and Knowledge Management (CIKM '16) (24 Oct 2016 - 28 Oct 2016 : Indianapolis, IN, USA)
Statement of
Wei Emma Zhang, Mingkui Tan, Quan Z. Sheng, Lina Yao, Qingfeng Shi
Abstract: Orthogonal Non-negative Matrix Factorization (ONMF) ap- proximates a data matrix X by the product of two lower- dimensional factor matrices: X ≈ UVT, with one of them orthogonal. ONMF has been widely applied for clustering, but it often suffers from high computational cost due to the orthogonality constraint. In this paper, we propose a method, called Nonlinear Riemannian Conjugate Gradient ONMF (NRCG-ONMF), which updates U and V alterna- tively and preserves the orthogonality of U while achiev- ing fast convergence speed. Specifically, in order to update U, we develop a Nonlinear Riemannian Conjugate Gradi- ent (NRCG) method on the Stiefel manifold using Barzilai- Borwein (BB) step size. For updating V, we use a closed- form solution under non-negativity constraint. Extensive experiments on both synthetic and real-world data sets show consistent superiority of our method over other approaches in terms of orthogonality preservation, convergence speed and clustering performance.
Keywords: Orthogonal NMF; Stiefel Manifold; Clustering
Rights: © 2016 ACM
RMID: 0030059274
DOI: 10.1145/2983323.2983761
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Appears in Collections:Computer Science publications

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