4 citations · 4 across the 8 of their papers we have counts for
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Large-Time Analysis of the Langevin Dynamics for Energies Fulfilling Polyak-Łojasiewicz Conditions
Massimo Fornasier, Lukang Sun, Rachel Ward
In this work, we take a step towards understanding overdamped Langevin dynamics for the minimization of a general class of objective functions . We establish well-pose…
Well-posedness and Smoothing Effect of the Porous Media Equation under Poincaré Inequality
Lukang Sun
We study the Cauchy problem for a weighted porous medium equation on associated with a Gibbs probability measure . Under a Poincaré inequality for and the convex…
Faithful global convergence for the rescaled Consensus-Based Optimization
Hui Huang, Hicham Kouhkouh, Lukang Sun
We analyze the Consensus-Based Optimization (CBO) algorithm with a consensus point rescaled by a small fixed parameter . Under minimal assumptions on the objective func…
Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence
Massimo Fornasier, Lukang Sun
Introduced in {\it R. Pinnau, et al. (Math. Models Methods Appl. Sci., 2017)}, Consensus-Based Optimization (CBO) has rapidly emerged as a significant breakthrough in global optimi…