Papers › Super-Samples from Kernel Herding

Super-Samples from Kernel Herding

15 Mar 2012arXiv:1203.3472archive 2025-07-28

Yutian Chen, Max Welling, Alex Smola

We extend the herding algorithm to continuous spaces by using the kernel trick. The resulting "kernel herding" algorithm is an infinite memory deterministic process that learns to approximate a PDF with a collection of samples. We show that kernel herding decreases the error of expectations of functions in the Hilbert space at a rate O(1/T) which is much faster than the usual O(1/pT) for iid random samples. We illustrate kernel herding by approximating Bayesian predictive distributions.

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