For singular Riesz-kernel SVGD with self-interaction removed, the time-averaged empirical measure converges weakly to the target as particle number and averaging horizon diverge, with an explicit N^{-1+σ/d} correction rate below the logarithmic threshold.
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Riesz-Kernel Stein Variational Gradient Descent: Renormalized Entropy and Long-Time Particle Limits
For singular Riesz-kernel SVGD with self-interaction removed, the time-averaged empirical measure converges weakly to the target as particle number and averaging horizon diverge, with an explicit N^{-1+σ/d} correction rate below the logarithmic threshold.