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We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

Machine Learning · Computer Science 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

Approximate algorithms for structured prediction problems---such as LP relaxations and the popular alpha-expansion algorithm (Boykov et al. 2001)---typically far exceed their theoretical performance guarantees on real-world instances. These…

Machine Learning · Statistics 2018-04-24 Hunter Lang , David Sontag , Aravindan Vijayaraghavan

We study the computational complexity of approximating general constrained Markov decision processes. Our primary contribution is the design of a polynomial time $(0,\epsilon)$-additive bicriteria approximation algorithm for finding optimal…

Data Structures and Algorithms · Computer Science 2025-02-12 Jeremy McMahan

Partially observable Markov decision processes (POMDPs) is a rich mathematical framework that embraces a large class of complex sequential decision-making problems under uncertainty with limited observations. However, the complexity of…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Mingyu Park , Jaeuk Shin , Insoon Yang

Guided policy search algorithms can be used to optimize complex nonlinear policies, such as deep neural networks, without directly computing policy gradients in the high-dimensional parameter space. Instead, these methods use supervised…

Machine Learning · Computer Science 2016-07-18 William Montgomery , Sergey Levine

In a recent work, we proposed Reliable Policy Iteration (RPI), that restores policy iteration's monotonicity-of-value-estimates property to the function approximation setting. Here, we assess the robustness of RPI's empirical performance on…

Artificial Intelligence · Computer Science 2025-12-16 S. R. Eshwar , Aniruddha Mukherjee , Kintan Saha , Krishna Agarwal , Gugan Thoppe , Aditya Gopalan , Gal Dalal

The ability to compute reward-optimal policies for given and known finite Markov decision processes (MDPs) underpins a variety of applications across planning, controller synthesis, and verification. However, we often want policies (1) to…

Logic in Computer Science · Computer Science 2025-11-18 Linus Heck , Filip Macák , Milan Češka , Sebastian Junges

Integer programming (IP) is an important and challenging problem. Approximate methods have shown promising performance on both effectiveness and efficiency for solving the IP problem. However, we observed that a large fraction of variables…

Discrete Mathematics · Computer Science 2022-07-06 Longkang Li , Baoyuan Wu

Markov Decision Processes (MDPs) are a formal framework for modeling and solving sequential decision-making problems. In finite-time horizons such problems are relevant for instance for optimal stopping or specific supply chain problems,…

Optimization and Control · Mathematics 2024-05-07 Sara Klein , Simon Weissmann , Leif Döring

State-of-the-art efficient model-based Reinforcement Learning (RL) algorithms typically act by iteratively solving empirical models, i.e., by performing \emph{full-planning} on Markov Decision Processes (MDPs) built by the gathered…

Machine Learning · Computer Science 2019-11-01 Yonathan Efroni , Nadav Merlis , Mohammad Ghavamzadeh , Shie Mannor

We consider the problem of finding good finite-horizon policies for POMDPs under the expected reward metric. The policies considered are {em free finite-memory policies with limited memory}; a policy is a mapping from the space of…

Artificial Intelligence · Computer Science 2013-01-30 Christopher Lusena , Tong Li , Shelia Sittinger , Chris Wells , Judy Goldsmith

Probabilistic circuits (PCs) such as sum-product networks efficiently represent large multi-variate probability distributions. They are preferred in practice over other probabilistic representations such as Bayesian and Markov networks…

Machine Learning · Computer Science 2024-02-07 Shivvrat Arya , Tahrima Rahman , Vibhav Gogate

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…

Systems and Control · Computer Science 2014-05-01 Jie Fu , Ufuk Topcu

We propose a new simple and natural algorithm for learning the optimal Q-value function of a discounted-cost Markov Decision Process (MDP) when the transition kernels are unknown. Unlike the classical learning algorithms for MDPs, such as…

Optimization and Control · Mathematics 2019-01-31 Dileep Kalathil , Vivek S. Borkar , Rahul Jain

In many service systems, especially those in healthcare, customer waiting times can result in increased service requirements. Such service slowdowns can significantly impact system performance. Therefore, it is important to properly account…

Optimization and Control · Mathematics 2025-01-22 Jing Dong , Berk Görgülü , Vahid Sarhangian

Model predictive control (MPC) is widely used in industries but implementing it poses challenges due to hardware or time constraints. A promising solution is to approximate the MPC policy using function approximators like neural networks.…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Yi Cao , Shuang-hua Yang

This paper concentrates on the reliability of a discrete-time controlled Markov system with finite states and actions, and aims to give an efficient algorithm for obtaining an optimal (control) policy that makes the system have the maximal…

Optimization and Control · Mathematics 2025-05-06 Yanyun Li , Xin Guo , Xianping Guo

The resurgence of near-memory processing (NMP) with the advent of big data has shifted the computation paradigm from processor-centric to memory-centric computing. To meet the bandwidth and capacity demands of memory-centric computing, 3D…

Hardware Architecture · Computer Science 2021-04-29 Pritam Majumder , Jiayi Huang , Sungkeun Kim , Abdullah Muzahid , Dylan Siegers , Chia-Che Tsai , Eun Jung Kim

Real Time Dynamic Programming (RTDP) is an online algorithm based on Dynamic Programming (DP) that acts by 1-step greedy planning. Unlike DP, RTDP does not require access to the entire state space, i.e., it explicitly handles the…

Machine Learning · Computer Science 2020-10-13 Yonathan Efroni , Mohammad Ghavamzadeh , Shie Mannor

Many reinforcement learning algorithms can be seen as versions of approximate policy iteration (API). While standard API often performs poorly, it has been shown that learning can be stabilized by regularizing each policy update by the…

Machine Learning · Computer Science 2021-02-15 Nevena Lazić , Botao Hao , Yasin Abbasi-Yadkori , Dale Schuurmans , Csaba Szepesvári