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Paper · arXiv

Reliable Risk Estimation with Kernel Mean Matching under Dependent Sampling

Kernel Mean Matching (KMM) estimates risk under covariate shift by reweighting labelled source samples so that their kernel mean embedding matches that of unlabeled target samples. Existing finite-sample guarantees are usually stated for independent samples, although many applications involve temporal, spatial, or clustered dependence. We give a finite-sample KMM analysis under dependent sampling by replacing nominal sample sizes with effective sample sizes in the concentration steps used by the classical proof. The approach uses Bernstein inequalities for geometrically strongly mixing processes and derives a model-based effective sample size. The resulting bound separates overlap, depend...

AuthorsAlexey Zaytsev, Diana Koldasbayeva, Egor Serov
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LG
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