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This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

Automated matching engines execute millions of orders per session, yet systematic asymmetries in latency, order size, and market access compound into persistent execution disparities that erode participant trust. We formulate provably fair…

计算机科学与博弈论 · 计算机科学 2026-04-09 Zehua Cheng , Zhipeng Wang , Wei Dai , Wenhu Zhang , Vadzim Mahilny , David Shi , Elena Jia , Jiahao Sun

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

计算机科学与博弈论 · 计算机科学 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Model-free reinforcement learning methods such as the Proximal Policy Optimization algorithm (PPO) have successfully applied in complex decision-making problems such as Atari games. However, these methods suffer from high variances and high…

机器学习 · 计算机科学 2018-11-20 Feiyang Pan , Qingpeng Cai , An-Xiang Zeng , Chun-Xiang Pan , Qing Da , Hualin He , Qing He , Pingzhong Tang

Policy Space Response Oracles (PSRO) interleaves empirical game-theoretic analysis with deep reinforcement learning (DRL) to solve games too complex for traditional analytic methods. Tree-exploiting PSRO (TE-PSRO) is a variant of this…

计算机科学与博弈论 · 计算机科学 2025-02-18 Christine Konicki , Mithun Chakraborty , Michael P. Wellman

Optimally solving decentralized decision-making problems modeled as Dec-POMDPs is known to be NEXP-complete. These optimal solutions are policies based on the entire history of observations and actions of an agent. However, some…

多智能体系统 · 计算机科学 2026-04-13 Amit Sinha , Matthieu Geist , Aditya Mahajan

Out-of-distribution generalization in reinforcement learning is hard to diagnose when benchmark shifts mix dynamics, observations, goals, and rewards. We address this with Tape, a controlled benchmark that isolates latent rule-shift in…

人工智能 · 计算机科学 2026-04-21 Enze Pan

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

We study the problem of estimating Dynamic Discrete Choice (DDC) models, also known as offline Maximum Entropy-Regularized Inverse Reinforcement Learning (offline MaxEnt-IRL) in machine learning. The objective is to recover reward or $Q^*$…

机器学习 · 计算机科学 2026-05-06 Enoch H. Kang , Hema Yoganarasimhan , Lalit Jain

We present the first application of MAP-Elites, a quality-diversity algorithm, to trade execution. Rather than searching for a single optimal policy, MAP-Elites generates a diverse portfolio of regime-specialist strategies indexed by…

交易与市场微观结构 · 定量金融 2026-02-02 Robert de Witt , Mikko S. Pakkanen

In multi-agent reinforcement learning (MARL), independent learners are those that do not observe the actions of other agents in the system. Due to the decentralization of information, it is challenging to design independent learners that…

计算机科学与博弈论 · 计算机科学 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

最优化与控制 · 数学 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

We study the policy testing problem in discounted Markov decision processes (MDPs) in the fixed-confidence setting under a generative model with static sampling. The goal is to decide whether the value of a given policy exceeds a specified…

机器学习 · 统计学 2026-04-21 Kaito Ariu , Po-An Wang , Alexandre Proutiere , Kenshi Abe

We study the problem of off-policy evaluation in the multi-armed bandit model with bounded rewards, and develop minimax rate-optimal procedures under three settings. First, when the behavior policy is known, we show that the Switch…

机器学习 · 统计学 2021-01-20 Cong Ma , Banghua Zhu , Jiantao Jiao , Martin J. Wainwright

We study risk-sensitive RL where the goal is learn a history-dependent policy that optimizes some risk measure of cumulative rewards. We consider a family of risks called the optimized certainty equivalents (OCE), which captures important…

机器学习 · 计算机科学 2025-03-03 Kaiwen Wang , Dawen Liang , Nathan Kallus , Wen Sun

The maximization of reach-avoid probabilities for stochastic systems is a central topic in the control literature. Yet, the available methods are either restricted to low-dimensional systems or suffer from conservative approximations. To…

最优化与控制 · 数学 2026-01-26 Niklas Schmid , Jaeyoun Choi , Oswin So , Chuchu Fan

Soft actor-critic (SAC) in reinforcement learning is expected to be one of the next-generation robot control schemes. Its ability to maximize policy entropy would make a robotic controller robust to noise and perturbation, which is useful…

机器学习 · 计算机科学 2023-07-04 Taisuke Kobayashi

Learning in stochastic games is arguably the most standard and fundamental setting in multi-agent reinforcement learning (MARL). In this paper, we consider decentralized MARL in stochastic games in the non-asymptotic regime. In particular,…

计算机科学与博弈论 · 计算机科学 2021-12-17 Zuguang Gao , Qianqian Ma , Tamer Başar , John R. Birge

We consider synthesis of control policies that maximize the probability of satisfying given temporal logic specifications in unknown, stochastic environments. We model the interaction between the system and its environment as a Markov…

系统与控制 · 计算机科学 2014-05-01 Jie Fu , Ufuk Topcu

We propose a new policy iteration theory as an important extension of soft policy iteration and Soft Actor-Critic (SAC), one of the most efficient model free algorithms for deep reinforcement learning. Supported by the new theory, arbitrary…

机器学习 · 计算机科学 2019-02-18 Gang Chen , Yiming Peng