arXiv Machine Learning By Zhijian Zhou, Liuhua Peng, Xunye Tian, Mingming Gong, Feng Liu

Are Two Datasets Close Enough With Statistical Significance? A Kernel Distributional Closeness Testing Approach

Read the original on arXiv Machine Learning →

arXiv:2507. 12843v3 Announce Type: replace Abstract: Are two distributions close to each other with statistical significance?

Summary generated by The Flow from the publisher's feed. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Jul 28

Minimax Lower Bounds of Kernel Discrepancy Estimation: MMD, HSIC, KSD

arXiv:2607. 24235v1 Announce Type: cross Abstract: Over the past 20 years, kernel discrepancies have been leveraged as a highly powerful tool for quantifying the disagreement of distributions, with numerous successful applications in two-sample, goodness-of-fit, and independence testing, among others.

By Jose Cribeiro-Ramallo, Florian Kalinke, Zolt\'an Szab\'o
arXiv Machine Learning
Jun 29

Efficient and Stable Multi-Dimensional Kolmogorov-Smirnov Distance

arXiv:2504. 11299v2 Announce Type: replace-cross Abstract: We revisit extending the Kolmogorov-Smirnov distance between probability distributions to the multi-dimensional setting, and make new arguments about the proper way to approach this generalization.

By Peter Matthew Jacobs, Foad Namjoo, Jeff M. Phillips
arXiv Machine Learning
Jul 20

Testing Distributions Against Bounded Distinguishers

arXiv:2607. 15645v1 Announce Type: cross Abstract: Motivated by the challenge of testing distributions over high-dimensional or continuous domains, we study distribution testing with respect to bounded classes of distinguishers.

By Mark Bun, Rathin Desai, Renato Ferreira Pinto Jr