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A Convergence Theory for SVGD in the Population Limit under Talagrand’s Inequality T1

ICML 2022 · Optimization › Optimizers · approach: Stein variational gradient descent · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Analyze population-limit SVGD as gradient descent over probability measures, assuming T1 rather than a uniformly bounded KSD trajectorySVGD · Non-logconcave targets satisfying T1; population limititerations for squared KSD accuracy ε: \tilde{\Omega}\left(\frac{L{d}^{3/2}}{\lambda^{1/2}\varepsilon}\right)Helped
Use a fixed step size satisfying the stated bounds, without requiring a uniform KSD bound along the trajectoryPopulation-limit SVGD · Targets satisfying T1 and the paper's smoothness assumptionsconvergence to target in W1Helped

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