4 citations · 4 across the 8 of their papers we have counts for
8 papers
The nonlocal attraction-repulsion transport equation with power kernels
Massimo Fornasier, Hui Huang, Lukang Sun
We study a nonlocal continuity equation on in which a probability density is driven by the competition between attraction toward a prescribed background measure …
Concavity of Tsallis Entropy and Tsallis Entropy Power along Heat Flow
Lukang Sun
We study the evolution of Tsallis entropy along the heat flow and establish concavity results in arbitrary dimensions. Extending earlier one-dimensional results, we prove that Tsal…
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…
A PDE Framework of Consensus-Based Optimization for Objectives with Multiple Global Minimizers
Massimo Fornasier, Lukang Sun
Consensus-based optimization (CBO) is an agent-based derivative-free method for non-smooth global optimization that has been introduced in 2017, leveraging a surprising interplay b…
Consensus-Based Optimization with Truncated Noise
Massimo Fornasier, Peter Richtárik, Konstantin Riedl +1
Consensus-based optimization (CBO) is a versatile multi-particle metaheuristic optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dime…