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» Hilbert Space Embeddings and Metrics on Probability Measures
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CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 5 months ago
Metric Structures and Probabilistic Computation
Abstract. Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical co...
Wesley Calvert
ICCV
2005
IEEE
14 years 7 months ago
Neighborhood Preserving Embedding
Recently there has been a lot of interest in geometrically motivated approaches to data analysis in high dimensional spaces. We consider the case where data is drawn from sampling...
Xiaofei He, Deng Cai, Shuicheng Yan, HongJiang Zha...
NIPS
2008
13 years 6 months ago
Characteristic Kernels on Groups and Semigroups
Embeddings of random variables in reproducing kernel Hilbert spaces (RKHSs) may be used to conduct statistical inference based on higher order moments. For sufficiently rich (char...
Kenji Fukumizu, Bharath K. Sriperumbudur, Arthur G...
KI
2009
Springer
13 years 11 months ago
Generalized Clustering via Kernel Embeddings
Abstract. We generalize traditional goals of clustering towards distinguishing components in a non-parametric mixture model. The clusters are not necessarily based on point locatio...
Stefanie Jegelka, Arthur Gretton, Bernhard Sch&oum...
JMIV
2006
115views more  JMIV 2006»
13 years 5 months ago
Application of the Fisher-Rao Metric to Structure Detection
Abstract - Certain structure detection problems can be solved by sampling a parameter space for the different structures at a finite number of points and checking each point to see...
Stephen J. Maybank