4 citations · 4 across the 7 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 …
Sharp Rates of MMD Empirical Estimation with Power Kernels
Francesco Colasanto, Matteo Focardi, Massimo Fornasier +1
We establish quantitative rates of convergence for the empirical estimation of probability measures by means of the Maximum Mean Discrepancy (MMD) with power kernel $K_q(x,y) = -|x…
From Consensus-Based Optimization to Evolution Strategies: Proof of Global Convergence
Massimo Fornasier, Hui Huang, Jona Klemenc +1
Consensus-based optimization (CBO) is a powerful and versatile zero-order multi-particle method designed to provably solve high-dimensional global optimization problems, including…
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…
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…
Constrained Consensus-Based Optimization and Numerical Heuristics for the Few Particle Regime
Jonas Beddrich, Enis Chenchene, Massimo Fornasier +2
Consensus-based optimization (CBO) is a versatile multi-particle optimization method for performing nonconvex and nonsmooth global optimizations in high dimensions. Proofs of globa…
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…