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This study presents a rigorous mathematical approach to the optimization of round and betting policies in Blackjack, using Markov Decision Processes (MDP) and Expected Utility Theory. The analysis considers a direct confrontation between a…

最优化与控制 · 数学 2025-05-05 Lucas Bordeu , Javier Castro

This paper investigates methods for estimating the optimal stochastic control policy for a Markov Decision Process with unknown transition dynamics and an unknown reward function. This form of model-free reinforcement learning comprises…

机器学习 · 计算机科学 2019-12-06 Brandon Trabucco , Albert Qu , Simon Li , Ganeshkumar Ashokavardhanan

Designing sample-efficient and computationally feasible reinforcement learning (RL) algorithms is particularly challenging in environments with large or infinite state and action spaces. In this paper, we advance this effort by presenting…

机器学习 · 计算机科学 2024-10-04 Zakaria Mhammedi

Exploration remains a key challenge in deep reinforcement learning (RL). Optimism in the face of uncertainty is a well-known heuristic with theoretical guarantees in the tabular setting, but how best to translate the principle to deep…

机器学习 · 计算机科学 2023-06-06 Brendan O'Donoghue

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

机器学习 · 计算机科学 2026-05-06 Cyrille Kone , Kevin Jamieson

Training large language model (LLM) agents for adversarial games is often driven by episodic objectives such as win rate. In long-horizon settings, however, payoffs are shaped by latent strategic externalities that evolve over time, so…

机器学习 · 计算机科学 2026-02-10 Boyang Xia , Weiyou Tian , Qingnan Ren , Jiaqi Huang , Jie Xiao , Shuo Lu , Kai Wang , Lynn Ai , Eric Yang , Bill Shi

Maximum Causal Entropy (MCE) Inverse Optimal Control (IOC) has become an effective tool for modelling human behaviour in many control tasks. Its advantage over classic techniques for estimating human policies is the transferability of the…

系统与控制 · 计算机科学 2016-07-20 Felix Schmitt , Hans-Joachim Bieg , Dietrich Manstetten , Michael Herman , Rainer Stiefelhagen

We present a Monte-Carlo simulation algorithm for real-time policy improvement of an adaptive controller. In the Monte-Carlo simulation, the long-term expected reward of each possible action is statistically measured, using the initial…

机器学习 · 计算机科学 2025-04-07 Gerald Tesauro , Gregory R. Galperin

We study a two-player discounted zero-sum stochastic game model for dynamic operational planning in military campaigns. At each stage, the players manage multiple commanders who order military actions on objectives that have an open line of…

计算机科学与博弈论 · 计算机科学 2024-03-04 Joseph E. McCarthy , Mathieu Dahan , Chelsea C. White

Policy optimization methods remain a powerful workhorse in empirical Reinforcement Learning (RL), with a focus on neural policies that can easily reason over complex and continuous state and/or action spaces. Theoretical understanding of…

机器学习 · 计算机科学 2021-03-23 Fei Feng , Wotao Yin , Alekh Agarwal , Lin F. Yang

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

计算机科学与博弈论 · 计算机科学 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

Optimization of parameterized policies for reinforcement learning (RL) is an important and challenging problem in artificial intelligence. Among the most common approaches are algorithms based on gradient ascent of a score function…

We investigate the problem of best policy identification in discounted linear Markov Decision Processes in the fixed confidence setting under a generative model. We first derive an instance-specific lower bound on the expected number of…

机器学习 · 计算机科学 2022-08-12 Jerome Taupin , Yassir Jedra , Alexandre Proutiere

In the optimization of dynamic systems, the variables typically have constraints. Such problems can be modeled as a Constrained Markov Decision Process (CMDP). This paper considers the peak Constrained Markov Decision Process (PCMDP), where…

最优化与控制 · 数学 2022-06-15 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

The most data-efficient algorithms for reinforcement learning in robotics are model-based policy search algorithms, which alternate between learning a dynamical model of the robot and optimizing a policy to maximize the expected return…

机器学习 · 计算机科学 2020-03-05 Rituraj Kaushik , Konstantinos Chatzilygeroudis , Jean-Baptiste Mouret

This paper shows that the optimal policy and value functions of a Markov Decision Process (MDP), either discounted or not, can be captured by a finite-horizon undiscounted Optimal Control Problem (OCP), even if based on an inexact model.…

系统与控制 · 电气工程与系统科学 2023-02-08 Arash Bahari Kordabad , Mario Zanon , Sebastien Gros

Model-based policy optimization often struggles with inaccurate system dynamics models, leading to suboptimal closed-loop performance. This challenge is especially evident in Model Predictive Control (MPC) policies, which rely on the model…

系统与控制 · 电气工程与系统科学 2026-04-21 Riccardo Zuliani , Efe C. Balta , John Lygeros

Deep reinforcement learning agents frequently suffer from premature convergence, where early entropy collapse causes the policy to discard exploratory behaviors before discovering globally optimal strategies. We introduce Optimistic Policy…

机器学习 · 计算机科学 2026-03-10 Mai Pham , Vikrant Vaze , Peter Chin

We consider the problem of computing the maximal probability of satisfying an omega-regular specification for stochastic nonlinear systems evolving in discrete time. The problem reduces, after automata-theoretic constructions, to finding…

系统与控制 · 电气工程与系统科学 2022-09-30 Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck , Sadegh Soudjani

Extensive-form games provide a versatile framework for modeling interactions of multiple agents subjected to imperfect observations and stochastic events. In recent years, two paradigms, policy space response oracles (PSRO) and…

计算机科学与博弈论 · 计算机科学 2022-04-12 Xinrun Wang , Jakub Cerny , Shuxin Li , Chang Yang , Zhuyun Yin , Hau Chan , Bo An
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