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20072025
most citedEquivalence of distance-based and RKHS-based statistics in hypothesis testing

602 citations · 2.9k across the 103 of their papers we have counts for

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Showing 2013Show all

7 papers · 1 filter

stat.ML2013★ 1 cited

Filtering with State-Observation Examples via Kernel Monte Carlo Filter

Motonobu Kanagawa, Yu Nishiyama, Arthur Gretton +1

This paper addresses the problem of filtering with a state-space model. Standard approaches for filtering assume that a probabilistic model for observations (i.e. the observation m…

math.ST2013★ 68 cited

Density Estimation in Infinite Dimensional Exponential Families

Bharath Sriperumbudur, Kenji Fukumizu, Arthur Gretton +2

In this paper, we consider an infinite dimensional exponential family, of probability densities, which are parametrized by functions in a reproducing kernel Hilbert s…

cs.LG2013

Hilbert Space Embeddings of Predictive State Representations

Byron Boots, Geoffrey Gordon, Arthur Gretton

Predictive State Representations (PSRs) are an expressive class of models for controlled stochastic processes. PSRs represent state as a set of predictions of future observable eve…

stat.ML2013★ 26 cited

Kernel Adaptive Metropolis-Hastings

Dino Sejdinovic, Heiko Strathmann, Maria Lomeli Garcia +2

A Kernel Adaptive Metropolis-Hastings algorithm is introduced, for the purpose of sampling from a target distribution with strongly nonlinear support. The algorithm embeds the traj…

cs.LG2013★ 16 cited

B-tests: Low Variance Kernel Two-Sample Tests

Wojciech Zaremba, Arthur Gretton, Matthew Blaschko

A family of maximum mean discrepancy (MMD) kernel two-sample tests is introduced. Members of the test family are called Block-tests or B-tests, since the test statistic is an avera…

stat.ME2013★ 25 cited

A Kernel Test for Three-Variable Interactions

Dino Sejdinovic, Arthur Gretton, Wicher Bergsma

We introduce kernel nonparametric tests for Lancaster three-variable interaction and for total independence, using embeddings of signed measures into a reproducing kernel Hilbert s…