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eess.SY2024
Graphon Particle Systems, Part II: Dynamics of Distributed Stochastic Continuum Optimization
Yan Chen, Tao Li, Xiaofeng Zong
We study the distributed optimization problem over a graphon with a continuum of nodes, which is regarded as the limit of the distributed networked optimization as the number of no…
eess.SY2024
Graphon Particle Systems, Part I: Spatio-Temporal Approximation and Law of Large Numbers
Yan Chen, Tao Li, Xiaofeng Zong
We study a class of graphon particle systems with time-varying random coefficients. In a graphon particle system, the interactions among particles are characterized by the coupled…
cs.LG2024
Online Regularized Statistical Learning in Reproducing Kernel Hilbert Space With Non-Stationary Data
Yan Chen, Tao Li, Xiwei Zhang
We study recursive regularized learning algorithms in the reproducing kernel Hilbert space (RKHS) with non-stationary online data streams. We introduce the concept of a random Tikh…