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Line 34: === Sampling === Consensus-based optimization can be transformed into a sampling method<ref>{{Citation \|~~last~~last1=Carrillo \|~~first~~first1=J. A. \|title=Consensus Based Sampling \|date=2021-11-04 \|url=https://arxiv.org/abs/2106.02519 \|access-date=2024-08-17 \|~~doi~~arxiv=~~10.48550/arXiv.~~2106.02519 \|last2=Hoffmann \|first2=F. \|last3=Stuart \|first3=A. M. \|last4=Vaes \|first4=U.}}</ref> by modifying the noise term and choosing appropriate hyperparameters. Namely, one considers the following SDE <math>dx^i_t = -(x^i_t-c_\alpha(x_t))\,dt + \sqrt{2 \tilde{\lambda}^{-1}\, C_\alpha(x_t)}\,dB^i_t,</math>

Consensus based optimization: Difference between revisions