Fetching the paper…
Reading the bibliography…
A Hilbert space embedding for probability measures has recently been proposed, with applications including dimensionality reduction, homogeneity testing, and independence testing.
Kernel dimension reduction in regression
K. Fukumizu, F. R. Bach, and M. I. Jordan · 1905
Earlier work this paper cites.
Theory of reproducing kernels
N. Aronszajn · 1950
Earlier work this paper cites.
A general class of coefficients of divergence of one distribution from another
S. M. Ali and S. D. Silvey · 1966
Earlier work this paper cites.
Information-type measures of difference of probability distributions and indirect observations
I. Csiszár · 1967
Earlier work this paper cites.
Functional Analysis
M. Reed and B. Simon · 1972
Earlier work this paper cites.
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
C. Stein · 1972
Earlier work this paper cites.
Calculation of the Wasserstein distance between probability distributions on the line
S. S. Vallander · 1973
Earlier work this paper cites.
A quadratic measure of deviation of two-dimensional density estimates and a test of independence
M. Rosenblatt · 1975
Earlier work this paper cites.
Positive definite functions and generalizations, an historical survey
J. Stewart · 1976
Earlier work this paper cites.
Harmonic Analysis on Semigroups
C. Berg, J. P. R. Christensen, and P. Ressel · 1984
Earlier work this paper cites.
Some remarks on ridge functions
W. Dahmen and C. A. Micchelli · 1987
Earlier work this paper cites.
Theory of Statistical Inference and Information
I. Vajda · 1989
Earlier work this paper cites.
No empirical probability measure can converge in the total variation sense for all distributions
L. Devroye and L. Györfi · 1990
Earlier work this paper cites.
Probability Metrics and the Stability of Stochastic Models
S. T. Rachev · 1991
Earlier work this paper cites.
Functional Analysis
W. Rudin · 1991
Earlier work this paper cites.
Lectures on the Coupling Method
T. Lindvall · 1992
Earlier work this paper cites.
Weak Convergence and Empirical Processes
A. W. van der Vaart and J. A. Wellner · 1996
Earlier work this paper cites.
Integral probability metrics and their generating classes of functions
A. Müller · 1997
Earlier work this paper cites.
Mass transportation problems. Vol. I Theory, Vol. II Applications
S. T. Rachev and L. Rüschendorf · 1998
Cited alongside, same era.
Statistical Learning Theory
V. N. Vapnik · 1998
Cited alongside, same era.
Testing of goodness of fit based on the L 2 L_{2} -Wasserstein distance
E. del Barrio, J. A. Cuesta-Albertos, C. Matrán, and J. M. Rodríguez-Rodríguez · 1999
Cited alongside, same era.
Real Analysis: Modern Techniques and Their Applications
G. B. Folland · 1999
Cited alongside, same era.
Fourier Analysis and Applications
C. Gasquet and P. Witomski · 1999
Cited alongside, same era.
Lipschitz Algebras
N. Weaver · 1999
Cited alongside, same era.
Probability for Statisticians
An Introduction to Stein’s Method
A. D. Barbour and L. H. Y. Chen · 2005
Later among the works it cites.
Kernel methods for measuring independence
A. Gretton, R. Herbrich, A. Smola, O. Bousquet, and B. Schölkopf · 2005
Later among the works it cites.
Hilbertian metrics and positive definite kernels on probability measures
M. Hein and O. Bousquet · 2005
Later among the works it cites.
Testing Statistical Hypothesis
E. L. Lehmann and J. P. Romano · 2005
Later among the works it cites.
Divergence estimation of continuous distributions based on data-dependent partitions
Q. Wang, S. R. Kulkarni, and S. Verdú · 2005
Later among the works it cites.
H. Wendland · 2005
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. R. Shorack · 2000
Cited alongside, same era.
Mathematical Principles of Signal Processing
P. Brémaud · 2001
Cited alongside, same era.
On the influence of the kernel on the consistency of support vector machines
I. Steinwart · 2001
Cited alongside, same era.
Kernel independent component analysis
F. R. Bach and M. I. Jordan · 2002
Cited alongside, same era.
Real Analysis and Probability
R. M. Dudley · 2002
Cited alongside, same era.
On choosing and bounding probability metrics
A. L. Gibbs and F. E. Su · 2002
Cited alongside, same era.
Integrating structured biological data by kernel maximum mean discrepancy
K. M. Borgwardt, A. Gretton, M. Rasch, H.-P. Kriegel, B. Schölkopf, and A. J. Smola · 2006
Later among the works it cites.
On divergences and informations in statistics and information theory
F. Liese and I. Vajda · 2006
Later among the works it cites.
Universal kernels
C. A. Micchelli, Y. Xu, and H. Zhang · 2006
Later among the works it cites.
Gaussian Processes for Machine Learning
C. E. Rasmussen and C. K. I. Williams · 2006
Later among the works it cites.
A kernel method for the two sample problem
A. Gretton, K. M. Borgwardt, M. Rasch, B. Schölkopf, and A. Smola · 2007
Later among the works it cites.
A Hilbert space embedding for distributions
A. J. Smola, A. Gretton, L. Song, and B. Schölkopf · 2007
Later among the works it cites.
Kernel measures of conditional dependence
K. Fukumizu, A. Gretton, X. Sun, and B. Schölkopf · 2008
Later among the works it cites.
A kernel statistical test of independence
A. Gretton, K. Fukumizu, C. H. Teo, L. Song, B. Schölkopf, and A. J. Smola · 2008
Later among the works it cites.
Estimating divergence functionals and the likelihood ratio by convex risk minimization
X. Nguyen, M. J. Wainwright, and M. I. Jordan · 2008
Later among the works it cites.
Injective Hilbert space embeddings of probability measures
B. K. Sriperumbudur, A. Gretton, K. Fukumizu, G. R. G. Lanckriet, and B. Schölkopf · 2008
Later among the works it cites.
Support Vector Machines
I. Steinwart and A. Christmann · 2008
Later among the works it cites.