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This paper presents a general coding method where data in a Hilbert space are represented by finite dimensional coding vectors.
D. Slepian. The one-sided barrier problem for Gaussian noise. Bell System Tech. J
1962
Earlier work this paper cites.
W. Hoeffding. Probability inequalities for sums of bounded random variables, Journal of the American Statistical Association
1963
Earlier work this paper cites.
M. Ledoux, M. Talagrand. Probability in Banach Spaces
1991
Earlier work this paper cites.
B. A. Olshausen and D. J. Field. Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature
1996
Earlier work this paper cites.
A.W. van der Vaart and J.A. Wallner. Weak Convergence and Empirical Processes
1996
Earlier work this paper cites.
P. Bartlett, T. Linder, G. Lugosi. The minimax distortion redundancy in empirical quantizer design. IEEE Transactions on Information Theory
1998
Earlier work this paper cites.
C. McDiarmid. Concentration
1998
Earlier work this paper cites.
D. D. Lee and H. S. Seung. Learning the parts of objects by non-negative matrix factorization. Nature
1999
Cited alongside, same era.
F. Cucker and S. Smale. On the mathematical foundations of learning, Bulletin of the American Mathematical Society
2001
Cited alongside, same era.
S. Z. Li, X. Hou, H. Zhang, and Q. Cheng. Learning spatially localized parts-based representations. Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR)
2001
Cited alongside, same era.
P. L. Bartlett and S. Mendelson. Rademacher and Gaussian Complexities: Risk Bounds and Structural Results. Journal of Machine Learning Research
2002
Cited alongside, same era.
V. Koltchinskii and D. Panchenko. Empirical margin distributions and bounding the generalization error of combined classifiers, The Annals of Statistics
2002
Cited alongside, same era.
A. Antos, L. Gyorfi, A. Gyorgy. Individual convergence rates in empirical vector quantizer design. IEEE Transactions on Information Theory , 51(11):4013–4022, 2005
2005
Later among the works it cites.
J. Shawe-Taylor, C. K. I. Williams, N. Cristianini, J. S. Kandola. On the eigenspectrum of the Gram matrix and the generalization error of kernel-PCA. IEEE Transactions on Information Theory
2005
Later among the works it cites.
2006
Later among the works it cites.
O. Wigelius, A. Ambroladze, J. Shawe-Taylor. Statistical analysis of clustering with applications. Preprint, 2007
2007
Later among the works it cites.
G. Biau, L. Devroye, G. Lugosi. On the performance of clustering in Hilbert spaces. IEEE Transactions on Information Theory
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P. O. Hoyer. Non-negative matrix factorization with sparseness constraints. Journal of Machine Learning Research
2004
Cited alongside, same era.
2008
Later among the works it cites.
A. Maurer and M. Pontil. Generalization bounds for K K -dimensional coding schemes in Hilbert spaces. Proceedings of the 19th international conference on Algorithmic Learning Theory, pages 91, 2008,
2008
Later among the works it cites.