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math.OC2026
Convergence of time-discrete finite particle consensus based optimization in Hilbert spaces
Michael Herty, Hui Huang, Hicham Kouhkouh
We study a time-discrete, finite-particle Consensus-Based Optimization (CBO) algorithm in a separable Hilbert space. Our analysis provides convergence guarantees directly for the c…
math.OC2026
Consensus-based optimization with -stable jump processes
Pedro Aceves-Sanchez, Giacomo Albi, Federica Ferrarese +1
In this paper, we introduce a CBO method that incorporates jumps driven by an -stable stochastic process within a kinetic framework. This approach naturally induces nonlocal sto…