**Talks and Presentations**

**Talks and Presentations**

**A Quasistatic Derivation of Optimization Algorithms' Exploration on the Manifold of Minima****,***AMS 2022 Fall Western Sectional Meeting: upcoming on**10/22/2022***Implicit bias of optimization algorithms for neural networks: static and dynamic perspectives****,***Math Machine Learning seminar MPI MIS + UCLA**, 10/2022***Implicit biases of optimization algorithms for neural networks and their effects on generalization****,***University of California, Berkeley**, 10/2022***Implicit biases of optimization algorithms for neural networks and their effects on generalization****,***Shanghai Jiao Tong University**, 10/2022***Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes,***Princeton University, 07/2022***Nonlocal Behavior of Neural Network Loss Landscape,***ML Foundations seminar, Microsoft research, 05/2022***On the linear stability of SGD and input smoothness of neural networks,***Theoretically Inclined Machine Learning (TML) Seminar, University of Ottawa, 02/2022***Provably convergent quasistatic dynamics for mean-field two-player zero-sum games,***Optimal transport and Mean field games Seminar, University of South Carolina, 01/2022***Provably convergent quasistatic dynamics for mean-field two-player zero-sum games,***Stanford Applied Math Seminar, 01/2022***A qualitative study of the dynamic behavior of adaptive gradient algorithms,***Mathematical and Scientific Machine Learning, 08/2021***The Sobolev Regularization Effect of Stochastic Gradient Descent,***BAAI Conference, 06/2021***A Qualitative Study of the Dynamic Behavior of Adaptive Gradient Algorithms,***symposium on machine learning and dynamical systems, 09/202**0***The Slow Deterioration of the Generalization Error of the Random Feature Model,***UC Berkeley, 09/2020***The Slow Deterioration of the Generalization Error of the Random Feature Model,***MSML 2020, 07/2020***A-priori Estimates of Population Risks for Neural Networks Models,***Shanghai Jiao Tong University, 03/2020***A-priori estimates of population risks for neural networks models,***Chinese Academy of Sciences, 07/2019***Appropriate function spaces for two-layer neural network and residual network models,***Peking University, 06/2019*