4 papers
Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization
Seung-Yeal Ha, Franca Hoffmann, Dohyeon Kim
We study second-order Consensus-Based Optimization (CBO), a derivative-free global optimization algorithm in which the consensus force and the multiplicative exploratory noise act…
Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels
Li Chen, Seung-Yeal Ha, Xinyu Wang +1
We study the asymptotic behavior of the continuum Kuramoto model with a fractional Laplacian-type kernel. For this, we construct global weak solutions via a two-parameter regulariz…
On the emergent dynamics of the infinite set of Kuramoto oscillators
Seung-Yeal Ha, Euntaek Lee, Woojoo Shim
We propose an infinite Kuramoto model for a countably infinite set of Kuramoto oscillators and study its emergent dynamics for two classes of network topologies. For a class of sym…
Convergence and error estimates for time-discrete consensus-based optimization algorithms
Seug-Yeal Ha, Shi Jin, Doheon Kim
We present convergence and error estimates of the time-discrete consensus-based optimization(CBO) algorithms proposed in [arXiv:1909.09249] for general nonconvex functions. In auth…