北京雁栖湖应用数学研究院

张晓明

Chinedu Izuchukwu

2026年03月25日 14:00 至 15:00

A3-4-312

Zoom 518 868 7656 (BIMSA)

This talk introduces a time-varying accelerated gradient flow that extends Nesterov’s first-order differential equations by coupling the primal trajectory to an endogenous gradient-memory anchor and a phase-stabilization variable. We will discuss why the introduced system is viewed as a Nesterov-type accelerated gradient flow augmented by an endogenous dynamic anchor and a phase-stabilization mechanism. We will also see that, in contrast to vanishing-Tikhonov models, the regularizing effect of the system is not imposed through an external schedule ε(t), but is generated internally by an auxiliary gradient-memory state. In contrast to Hessian-driven inertial systems, the model strongly suggests attenuating and correcting oscillatory behavior without requiring explicit Hessian information.

Doctor Chinedu Izuchukwu is a senior lecturer at the School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa. He obtained his doctoral degree from the University of KwaZulu-Natal in 2019. He was a postdoctoral fellow at the University of KwaZulu-Natal and the Technion-Israel Institute of Technology in 2020 and 2020-2022, respectively. His research interests include Functional Analysis & Operator Theory, Optimization Theory, Differential Equations, Computational Methods and Numerical Analysis. He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".