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Linear low-rank approximation and nonlinear dimensionality reduction

     

摘要

[1]Bishop, C. M., Svensen, M., Williams, C. K. I., GTM: the generative topographic mapping, Neural Computation,1998, 10: 215-234.[2]Freedman, D., Efficient simplicial reconstructions of manifolds from their samples, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2002, 24: 1349-1357.[3]Hinton, G., Roweis, S., Stochastic neighbor embedding, Neural Information Processing Systems, 2003, 15:833-840.[4]Kohonen, T., Self-organizing Maps, 3rd ed., Berlin: Springer-Verlag, 2000.[5]Ramsay, J. O., Silverman, B. W., Applied Functional Data Analysis, Berlin: Springer-Verlag, 2002.[6]Roweis, S., Saul, L., Nonlinear dimensionality reduction by locally linear embedding, Science, 2000, 290:2323-2326.[7]Tenenbaum, J., De Silva, V., Langford, J., A global geometric framework for nonlinear dimension reduction,Science, 2000, 290:2319-2323.[8]Xu, G., Kailath, T., Fast subspace decompsotion, IEEE Transactions on Signal Processing, 1994, 42: 539-551.[9]Xu, G., Zha, H., Golub, G. et al., Fast algorithms for updating signal subspaces, IEEE Transactions on Circuits and Systems, 1994, 41: 537-549.[10]Zha, H., Marques, O., Simon, H., Large-scale SVD and subspace-based methods for information retrieval, Proceedings of Irregular '98, Lecture Notes in Computer Science, 1998, 1457: 29-42.[11]Zhang, Z., Zha, H., Structure and perturbation analysis of truncated SVDs for column-partitioned matrices,SIAM Journal on Matrix Analysis and Applications, 2001, 22: 1245-1262.[12]Zhang, Z., Zha, H., Simon, H., Low-rank approximations with sparse factors I: basic algorithms and error analysis, SIAM Journal on Matrix Analysis and Applications, 2002, 23: 706-727.[13]Stewart, G. W., Four algorithms for the efficient computation of truncated pivoted QR approximation to a sparse matrix, Numerische Mathematik, 1999, 83:313-323.[14]Golub, G., Van Loan, C., Matrix Computations, 3nd ed., Baltimore, Maryland: Johns Hopkins University Press,1996.[15]Teh, Y., Roweis, S., Automatic alignment of hidden representations, Neural Information Processing Systems,2002, 15: 841-848.

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    《中国科学》|2004年第6期|P.908-920|共13页
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  • 原文格式 PDF
  • 正文语种 CHI
  • 中图分类 自然科学总论;
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  • 入库时间 2024-01-26 21:58:56

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