Lukang Sun

activity

20232026

most citedConsensus-Based Optimization with Truncated Noise

4 citations · 4 across the 8 of their papers we have counts for

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Showing 2025 · math.APShow all

3 papers · 2 filters

math.AP2025

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 $L$ . We establish well-pose…

math.AP2025

Well-posedness and $L^{1} - L^{p}$ Smoothing Effect of the Porous Media Equation under Poincaré Inequality

Lukang Sun

We study the Cauchy problem for a weighted porous medium equation on $R$ associated with a Gibbs probability measure $π = e^{- V}$ . Under a Poincaré inequality for $π$ and the convex…

math.AP2025

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…

Large-Time Analysis of the Langevin Dynamics for Energies Fulfilling Polyak-Łojasiewicz Conditions

Well-posedness and L1−Lp Smoothing Effect of the Porous Media Equation under Poincaré Inequality

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Well-posedness and $L^{1} - L^{p}$ Smoothing Effect of the Porous Media Equation under Poincaré Inequality