Multiplicative Weights Updates as a distributed constrained optimization algorithm: Convergence to second-order stationary points almost always. - Ioannis Panageas; Georgios Piliouras; Xiao Wang 036 (ICML, 2019)

First-order methods almost always avoid saddle points: The case of vanishing step-sizes. - Ioannis Panageas; Georgios Piliouras; Xiao Wang 036 (NeurIPS, 2019)

Depth-Width Trade-offs for ReLU Networks via Sharkovsky's Theorem. - Vaggos Chatziafratis; Sai Ganesh Nagarajan; Ioannis Panageas; Xiao Wang 036 (ICLR, 2020)

Fast Convergence of Langevin Dynamics on Manifold: Geodesics meet Log-Sobolev. - Xiao Wang 036; Qi Lei; Ioannis Panageas (NeurIPS, 2020)

Convergence to Second-Order Stationarity for Non-negative Matrix Factorization: Provably and Concurrently. - Ioannis Panageas; Stratis Skoulakis; Antonios Varvitsiotis; Xiao Wang 036 (CoRR, 2020)

Last iterate convergence in no-regret learning: constrained min-max optimization for convex-concave landscapes. - Qi Lei; Sai Ganesh Nagarajan; Ioannis Panageas; Xiao Wang 036 (AISTATS, 2021)

Constants of Motion: The Antidote to Chaos in Optimization and Game Dynamics. - Georgios Piliouras; Xiao Wang 036 (CoRR, 2021)

AdaGrad Avoids Saddle Points. - Kimon Antonakopoulos; Panayotis Mertikopoulos; Georgios Piliouras; Xiao Wang 036 (ICML, 2022)

Accelerated Multiplicative Weights Update Avoids Saddle Points Almost Always. - Yi Feng; Ioannis Panageas; Xiao Wang 036 (IJCAI, 2022)

Semi Bandit dynamics in Congestion Games: Convergence to Nash Equilibrium and No-Regret Guarantees. - Ioannis Panageas; Stratis Skoulakis; Luca Viano; Xiao Wang 036; Volkan Cevher (ICML, 2023)

On the Last-iterate Convergence in Time-varying Zero-sum Games: Extra Gradient Succeeds where Optimism Fails. - Yi Feng; Hu Fu 001; Qun Hu; Ping Li; Ioannis Panageas; Bo Peng; Xiao Wang 036 (NeurIPS, 2023)

Prediction Accuracy of Learning in Games : Follow-the-Regularized-Leader meets Heisenberg. - Yi Feng; Georgios Piliouras; Xiao Wang 036 (ICML, 2024)

Last-iterate Convergence Separation between Extra-gradient and Optimism in Constrained Periodic Games. - Yi Feng; Ping Li; Ioannis Panageas; Xiao Wang 036 (UAI, 2024)

Continuous-Time Analysis of Heavy Ball Momentum in Min-Max Games. - Yi Feng; Kaito Fujii; Stratis Skoulakis; Xiao Wang 036; Volkan Cevher (CoRR, 2025)