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Linear Kernel Tests via Empirical Likelihood for High-Dimensional Data

AAAI 2019 · Learning theory and algorithms › Kernels and regression theory · approach: Kernel two-sample testing · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use ELR-MMD instead of Lin-MMDlinear MMD two-sample test · Gaussian vs Laplacian, d=10-100rejection rateHelped
use ELR-KSD instead of Lin-KSDlinear KSD goodness-of-fit test · Gaussian vs Laplacian, d=10-100rejection rateHelped
increase number of samples nELR vs linear statistics · Gaussians N(0,I) vs N(0,vI), d=100rejection rate gapHurt
use ELR statistics instead of FSSD-opttwo/goodness-of-fit tests · Gaussians d=50,100rejection rateHelped
increase FSSD test locations J to 10 and 50FSSD-opt · Gaussians d=10-100rejection rateNo clear effect
increase dimension d from 10 to 100FSSD-opt · Gaussian vs Laplacianrejection rateHurt
use ELR statistics instead of FSSD-optlinear tests · running time, d=100, n up to 14000timeHelped
use ELR statistics instead of Lin statisticslinear tests · Type I error, Gaussian and RBMfalse rejection rateNo clear effect

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