Search Results for author: Gert R. G. Lanckriet

Found 2 papers, 0 papers with code

Hilbert space embeddings and metrics on probability measures

no code implementations30 Jul 2009 Bharath K. Sriperumbudur, Arthur Gretton, Kenji Fukumizu, Bernhard Schölkopf, Gert R. G. Lanckriet

First, we consider the question of determining the conditions on the kernel $k$ for which $\gamma_k$ is a metric: such $k$ are denoted {\em characteristic kernels}.

Dimensionality Reduction

On integral probability metrics, φ-divergences and binary classification

no code implementations18 Jan 2009 Bharath K. Sriperumbudur, Kenji Fukumizu, Arthur Gretton, Bernhard Schölkopf, Gert R. G. Lanckriet

First, to understand the relation between IPMs and $\phi$-divergences, the necessary and sufficient conditions under which these classes intersect are derived: the total variation distance is shown to be the only non-trivial $\phi$-divergence that is also an IPM.

Information Theory Information Theory

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