We have the following seminar via google meet.
Title: Convergence of first-order consensus-based global optimization algorithms
Time: February 17th (Wednesday) 10:00 – 10:40
Speaker: Dr. Doheon Kim (KIAS)
Recently, consensus-based optimization (in short CBO) methods have been introduced as gradient-free optimization methods capable of tackling non-convex objective functions. Until recently, the convergence study for CBO methods was carried out only on their corresponding mean-field limits, Fokker-Planck equations, which do not imply the convergence of the CBO method per se. In this talk, we study convergence analysis for first-order CBO methods, without resorting to the corresponding mean-field models.
Title: A singular limit of the Chern-Simons-Higgs model
Time: February 17th (Wednesday) 10:45 – 11:25
Speaker: Dr. Bora Moon (Seoul National University)
In this talk, we consider the singular limit of the Cauchy problem for Chern-Simons-Higgs model that suggests a correspondence between the model of Chern-Simons-Higgs and Chern-Simons-Schrodinger. More precisely, we prove that when the velocity of light goes to infinity (the so-called ‘non-relativistic limit’), a class of time-dependent solutions of the modulated Chern-Simons-Higgs system converges to the corresponding solution of the Chern-Simons-Schrodinger system globally in time under the assumption of suitable initial data.