4 citations · 4 across the 8 of their papers we have counts for
5 papers · 1 filter
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 …
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…
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…