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A Gradient Based Technique for Generating Sparse Representation in Function Approximation (1999)  (Make Corrections)  
Sethu Vijayakumar, Si Wu



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Abstract: We provide an RKHS based inverse problem formulation[15] for analytically deriving the optimal function approximation when probabilistic information about the underlying regression is available in terms of the associated correlation functions as used in [9, 8]. On the lines of Poggio and Girosi[9], we show that this solution can be sparsified using principles of SVM and provide an implementation of this sparsification using a novel, conceptually simple and robust gradient based sequential... (Update)

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@misc{ vijayakumar-gradient,
  author = "Sethu Vijayakumar and Si Wu",
  title = "A Gradient Based Technique for Generating Sparse Representation in Function
    Approximation",
  url = "citeseer.ist.psu.edu/vijayakumar99gradient.html" }
Citations (may not include all citations):
947   Statistical Learning Theory (context) - Vapnik - 1997
524   Support vector networks - Cortes, Vapnik - 1995
412   Journal of Cognitive Neuroscience (context) - Turk, Pentland et al. - 1991
195   Relation between the statistics of natural images and the re.. (context) - Field - 1987
194   Atomic decomposition by basis pursuit - Chen, Donoho et al. - 1995
192   Low dimensional procedure for characterization of human face.. (context) - Sirovich, Kirby - 1987
149   Theory of reproducing kernels (context) - Aronszajn - 1950
109   An equivalence between sparse approximation and support vect.. - Girosi - 1998
81   Support vector method for function approximation - Vapnik, Golowich et al. - 1997
55   Regression and the Moore-Penrose Pseudoinverse (context) - Albert - 1972
21   A sparse representation for function approximation - Poggio, Girosi - 1998
9   RKHS based functional analysis for exact incremental learnin.. (context) - Vijayakumar, Ogawa - 1999
7   Computational theory of incremental and active learning for .. - Vijayakumar - 1998
5   Sequential support vector classifiers and regression - Vijayakumar, Wu - 1999
1   Wiener filter and Karhunen-Loeve subspaces in digital image .. (context) - Ogawa, Oja - 1986
1   Local feature analysis: A general statistical thoery for obj.. (context) - Penev, Atick - 1996

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