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math.AP2025
Mathematical Analysis of the PDE Model for the Consensus-based Optimization
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we develop an analytical framework for the partial differential equation underlying the consensus-based optimization model. The main challenge arises from the nonlin…
math.AP2024
Error Estimation in the Mean-Field Limit of Kinetic Flocking Models with Local Alignments
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we present an innovative particle system characterized by moderate interactions, designed to accurately approximate kinetic flocking models that incorporate singular…