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stat.ML2025

Controlling Moments with Kernel Stein Discrepancies

Heishiro Kanagawa, Alessandro Barp, Arthur Gretton +1

Kernel Stein discrepancies (KSDs) measure the quality of a distributional approximation and can be computed even when the target density has an intractable normalizing constant. No…

stat.ML2025

Compress Then Test: Powerful Kernel Testing in Near-linear Time

Carles Domingo-Enrich, Raaz Dwivedi, Lester Mackey

Kernel two-sample testing provides a powerful framework for distinguishing any pair of distributions based on sample points. However, existing kernel tests either run in

stat.ML2025

Targeted Separation and Convergence with Kernel Discrepancies

Alessandro Barp, Carl-Johann Simon-Gabriel, Mark Girolami +1

Maximum mean discrepancies (MMDs) like the kernel Stein discrepancy (KSD) have grown central to a wide range of applications, including hypothesis testing, sampler selection, distr…

stat.ML2025

Generalized Kernel Thinning

Raaz Dwivedi, Lester Mackey

The kernel thinning (KT) algorithm of Dwivedi and Mackey (2021) compresses a probability distribution more effectively than independent sampling by targeting a reproducing kernel H…

stat.ML2024

Kernel Thinning

Raaz Dwivedi, Lester Mackey

We introduce kernel thinning, a new procedure for compressing a distribution more effectively than i.i.d. sampling or standard thinning. Given a suitable reproducing k…

stat.ML2024

Gradient Estimation with Discrete Stein Operators

Jiaxin Shi, Yuhao Zhou, Jessica Hwang +2

Gradient estimation -- approximating the gradient of an expectation with respect to the parameters of a distribution -- is central to the solution of many machine learning problems…