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EIGENSYSTEM AND INVARIANT FACTORS OF A MATRIX
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作者 ZHINAN ZHANGDepartment of Mathematics(Xinjiang University, Urumuchi 830016, P.R.China) 《Wuhan University Journal of Natural Sciences》 CAS 1996年第Z1期566-570,共5页
In this paper we give a parallel algorithm for obtaining the eigenvalues and eigenvectors of a matrix.The practical background of this algorithm is the numerical computation in conjunction with the symbolic computation.
关键词 Lajs Vegas algorithm square free decomposition invariant factor.
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The Critical Group of Km × Cn 被引量:1
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作者 Jian WANG Yong Liang PAN Jun Ming XU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第1期169-184,共16页
In this paper, the structure of the critical group of the graph Km × Cn is determined, where m, n ≥3.
关键词 GRAPH Laplacian matrix critical group invariant factor Smith normal form tree number
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Past review,current progress,and challenges ahead on the cocktail party problem 被引量:3
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作者 Yan-min QIAN Chao WENG +2 位作者 Xuan-kai CHANG Shuai WANG Dong YU 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2018年第1期40-63,共24页
The cocktail party problem,i.e.,tracing and recognizing the speech of a specific speaker when multiple speakers talk simultaneously,is one of the critical problems yet to be solved to enable the wide application of au... The cocktail party problem,i.e.,tracing and recognizing the speech of a specific speaker when multiple speakers talk simultaneously,is one of the critical problems yet to be solved to enable the wide application of automatic speech recognition(ASR) systems.In this overview paper,we review the techniques proposed in the last two decades in attacking this problem.We focus our discussions on the speech separation problem given its central role in the cocktail party environment,and describe the conventional single-channel techniques such as computational auditory scene analysis(CASA),non-negative matrix factorization(NMF) and generative models,the conventional multi-channel techniques such as beamforming and multi-channel blind source separation,and the newly developed deep learning-based techniques,such as deep clustering(DPCL),the deep attractor network(DANet),and permutation invariant training(PIT).We also present techniques developed to improve ASR accuracy and speaker identification in the cocktail party environment.We argue effectively exploiting information in the microphone array,the acoustic training set,and the language itself using a more powerful model.Better optimization ob jective and techniques will be the approach to solving the cocktail party problem. 展开更多
关键词 Cocktail party problem Computational auditory scene analysis Non-negative matrix factorization Permutation invariant training Multi-talker speech processing
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