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We propose a new, nonparametric approach to learning and representing transition dynamics in Markov decision processes (MDPs), which can be combined easily with dynamic programming methods for policy optimisation and value estimation. This…

Machine Learning · Computer Science 2012-06-22 Steffen Grunewalder , Guy Lever , Luca Baldassarre , Massi Pontil , Arthur Gretton

Value iteration is a fundamental algorithm for solving Markov Decision Processes (MDPs). It computes the maximal $n$-step payoff by iterating $n$ times a recurrence equation which is naturally associated to the MDP. At the same time, value…

Formal Languages and Automata Theory · Computer Science 2019-04-30 Nikhil Balaji , Stefan Kiefer , Petr Novotný , Guillermo A. Pérez , Mahsa Shirmohammadi

Our work addresses a fundamental problem in the context of counterfactual inference for Markov Decision Processes (MDPs). Given an MDP path $\tau$, this kind of inference allows us to derive counterfactual paths $\tau'$ describing what-if…

Artificial Intelligence · Computer Science 2025-03-28 Milad Kazemi , Jessica Lally , Ekaterina Tishchenko , Hana Chockler , Nicola Paoletti

Two complex multi-state systems subject to multiple events are built in an algorithmic and computational way by considering phase-type distributions and Markovian arrival processes with marked arrivals. The internal performance of the…

Methodology · Statistics 2025-01-15 Juan Eloy Ruiz-Castro , Christian Acal

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…

Machine Learning · Computer Science 2024-10-04 Zakaria Mhammedi

The low rank MDP has emerged as an important model for studying representation learning and exploration in reinforcement learning. With a known representation, several model-free exploration strategies exist. In contrast, all algorithms for…

Machine Learning · Computer Science 2022-06-23 Aditya Modi , Jinglin Chen , Akshay Krishnamurthy , Nan Jiang , Alekh Agarwal

Reinforcement learning (RL) is a powerful framework for decision-making in uncertain environments, but it often requires large amounts of data to learn an optimal policy. We address this challenge by incorporating prior model knowledge to…

Machine Learning · Computer Science 2026-01-29 J. S. van Hulst , W. P. M. H. Heemels , D. J. Antunes

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

Artificial Intelligence · Computer Science 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

We study the problem of exploration in Reinforcement Learning and present a novel model-free solution. We adopt an information-theoretical viewpoint and start from the instance-specific lower bound of the number of samples that have to be…

Machine Learning · Computer Science 2024-07-02 Alessio Russo , Alexandre Proutiere

This paper investigates the multi-agent cooperative exploration problem, which requires multiple agents to explore an unseen environment via sensory signals in a limited time. A popular approach to exploration tasks is to combine active…

Robotics · Computer Science 2023-11-02 Xinyi Yang , Yuxiang Yang , Chao Yu , Jiayu Chen , Jingchen Yu , Haibing Ren , Huazhong Yang , Yu Wang

Exploration is essential in modern learning, from reinforcement learning environments with small neural policies to large language models (LLMs). Existing work, such as DPO, leverages full sequence log-likelihoods to capture an entire…

Machine Learning · Computer Science 2025-08-27 Gaurish Trivedi , Alakh Sharma , Kartikey Singh Bhandari , Dhruv Kumar , Pratik Narang , Jagat Sesh Challa

General-purpose agents require fine-grained controls and rich sensory inputs to perform a wide range of tasks. However, this complexity often leads to intractable decision-making. Traditionally, agents are provided with task-specific action…

Machine Learning · Computer Science 2024-06-25 Rafael Rodriguez-Sanchez , George Konidaris

In trajectory optimization, Model Predictive Path Integral (MPPI) control is a sampling-based Model Predictive Control (MPC) framework that generates optimal inputs by efficiently simulating numerous trajectories. In practice, however, MPPI…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Fanxin Wang , Yikun Cheng , Chuyuan Tao

Vacant taxi drivers' passenger seeking process in a road network generates additional vehicle miles traveled, adding congestion and pollution into the road network and the environment. This paper aims to employ a Markov Decision Process…

Machine Learning · Computer Science 2020-02-04 Zhenyu Shou , Xuan Di , Jieping Ye , Hongtu Zhu , Hua Zhang , Robert Hampshire

Exploring an unknown environment without colliding with obstacles is one of the essentials of autonomous vehicles to perform diverse missions such as structural inspections, rescues, deliveries, and so forth. Therefore, unmanned aerial…

Robotics · Computer Science 2021-08-06 Eungchang Mason Lee , Junho Choi , Hyungtae Lim , Hyun Myung

We introduce a QPLEX Decision Process (QDP) as a model for dynamic control of queueing systems with non-stationary arrivals, general service distributions, and service-level chance constraints. QDPs integrate QPLEX, a computational modeling…

Optimization and Control · Mathematics 2026-05-19 Antonius B. Dieker , Steven T. Hackman , Zitong Wang , Yunhao Yan

Value decomposition has long been a fundamental technique in multi-agent dynamic programming and reinforcement learning (RL). Specifically, the value function of a global state $(s_1,s_2,\ldots,s_N)$ is often approximated as the sum of…

Machine Learning · Computer Science 2025-11-14 Shuze Chen , Tianyi Peng

In this paper, building on the formulation of quantum Markov decision processes (q-MDPs) presented in our previous work [{\sc N.~Saldi, S.~Sanjari, and S.~Y\"{u}ksel}, {\em Quantum Markov Decision Processes: General Theory, Approximations,…

Quantum Physics · Physics 2025-02-24 Naci Saldi , Sina Sanjari , Serdar Yuksel

We consider local planning in fixed-horizon MDPs with a generative model under the assumption that the optimal value function lies close to the span of a feature map. The generative model provides a local access to the MDP: The planner can…

Machine Learning · Computer Science 2021-07-12 Gellért Weisz , Philip Amortila , Barnabás Janzer , Yasin Abbasi-Yadkori , Nan Jiang , Csaba Szepesvári

Exploration is a fundamental aspect of Reinforcement Learning, typically implemented using stochastic action-selection. Exploration, however, can be more efficient if directed toward gaining new world knowledge. Visit-counters have been…

Machine Learning · Computer Science 2018-04-12 Leshem Choshen , Lior Fox , Yonatan Loewenstein