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math.OC2026
Long-time Stability and Convergence of Particle Swarm Optimization
Giacomo Borghi, Hui Huang, Dohyeon Kim
Particle Swarm Optimization (PSO) is a global optimization algorithm defined by an interacting set of particles evolving over the search space. Heuristically motivated, its theoret…
math.OC2026
Collective Optimization on Riemannian Manifolds with Bounded Curvature
Hui Huang, Dohyun Kim, Hansol Park
In this paper, we develop an intrinsic consensus-based optimization framework on Riemannian manifolds with bounded sectional curvature. In contrast to extrinsic approaches based on…
math.OC2024
A particle consensus approach to solving nonconvex-nonconcave min-max problems
Giacomo Borghi, Hui Huang, Jinniao Qiu
We propose a zero-order optimization method for sequential min-max problems based on two populations of interacting particles. The systems are coupled so that one population aims t…