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20092026
most citedDynamic Programming Principles for Mean-Field Controls with Learning

16 citations · 103 across the 24 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.PR2020★ 4 cited

Itô's formula for flows of measures on semimartingales

Xin Guo, Huyên Pham, Xiaoli Wei

We establish Itô's formula along flows of probability measures associated with general semimartingales; this generalizes existing results for flows of measures on Itô processes. Ou…

math.OC2020★ 12 cited

Entropy Regularization for Mean Field Games with Learning

Xin Guo, Renyuan Xu, Thaleia Zariphopoulou

Entropy regularization has been extensively adopted to improve the efficiency, the stability, and the convergence of algorithms in reinforcement learning. This paper analyzes both…

math.OC2020★ 12 cited

Logarithmic regret for episodic continuous-time linear-quadratic reinforcement learning over a finite-time horizon

Matteo Basei, Xin Guo, Anran Hu +1

We study finite-time horizon continuous-time linear-quadratic reinforcement learning problems in an episodic setting, where both the state and control coefficients are unknown to t…

math.OC2020★ 2 cited

Interbank lending with benchmark rates: Pareto optima for a class of singular control games

Rama Cont, Xin Guo, Renyuan Xu

We analyze a class of stochastic differential games of singular control, motivated by the study of a dynamic model of interbank lending with benchmark rates. We describe Pareto opt…

cs.LG2020★ 4 cited

A General Framework for Learning Mean-Field Games

Xin Guo, Anran Hu, Renyuan Xu +1

This paper presents a general mean-field game (GMFG) framework for simultaneous learning and decision-making in stochastic games with a large population. It first establishes the e…

cs.LG2020★ 14 cited

Mean-Field Controls with Q-learning for Cooperative MARL: Convergence and Complexity Analysis

Haotian Gu, Xin Guo, Xiaoli Wei +1

Multi-agent reinforcement learning (MARL), despite its popularity and empirical success, suffers from the curse of dimensionality. This paper builds the mathematical framework to a…