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Unlike the standard Reinforcement Learning (RL) model, many real-world tasks are non-Markovian, whose rewards are predicated on state history rather than solely on the current state. Solving a non-Markovian task, frequently applied in…

Machine Learning · Computer Science 2023-10-19 Ruixuan Miao , Xu Lu , Cong Tian , Bin Yu , Zhenhua Duan

The standard RL world model is that of a Markov Decision Process (MDP). A basic premise of MDPs is that the rewards depend on the last state and action only. Yet, many real-world rewards are non-Markovian. For example, a reward for bringing…

Artificial Intelligence · Computer Science 2019-12-06 Maor Gaon , Ronen I. Brafman

Many practical decision-making problems involve tasks whose success depends on the entire system history, rather than on achieving a state with desired properties. Markovian Reinforcement Learning (RL) approaches are not suitable for such…

Machine Learning · Computer Science 2025-12-17 Alessandro Trapasso , Luca Iocchi , Fabio Patrizi

This paper examines a number of solution methods for decision processes with non-Markovian rewards (NMRDPs). They all exploit a temporal logic specification of the reward function to automatically translate the NMRDP into an equivalent…

Artificial Intelligence · Computer Science 2012-12-12 Charles Gretton , David Price , Sylvie Thiebaux

In reinforcement learning (RL), an agent learns to perform a task by interacting with an environment and receiving feedback (a numerical reward) for its actions. However, the assumption that rewards are always observable is often not…

Machine Learning · Computer Science 2024-02-15 Simone Parisi , Montaser Mohammedalamen , Alireza Kazemipour , Matthew E. Taylor , Michael Bowling

We consider the problem of reward learning for temporally extended tasks. For reward learning, inverse reinforcement learning (IRL) is a widely used paradigm. Given a Markov decision process (MDP) and a set of demonstrations for a task, IRL…

Robotics · Computer Science 2021-07-14 Farzan Memarian , Zhe Xu , Bo Wu , Min Wen , Ufuk Topcu

Training reinforcement learning (RL) agents using scalar reward signals is often infeasible when an environment has sparse and non-Markovian rewards. Moreover, handcrafting these reward functions before training is prone to…

Machine Learning · Computer Science 2023-10-04 Alessandro Abate , Yousif Almulla , James Fox , David Hyland , Michael Wooldridge

In this work, we propose a novel framework for the logical specification of non-Markovian rewards in Markov Decision Processes (MDPs) with large state spaces. Our approach leverages Linear Temporal Logic Modulo Theories over finite traces…

Artificial Intelligence · Computer Science 2026-02-09 Pierriccardo Olivieri , Fausto Lasca , Alessandro Gianola , Matteo Papini

We generalise the problem of reward modelling (RM) for reinforcement learning (RL) to handle non-Markovian rewards. Existing work assumes that human evaluators observe each step in a trajectory independently when providing feedback on agent…

Machine Learning · Computer Science 2022-10-11 Joseph Early , Tom Bewley , Christine Evers , Sarvapali Ramchurn

In Markov Decision Processes (MDPs), the reward obtained in a state depends on the properties of the last state and action. This state dependency makes it difficult to reward more interesting long-term behaviors, such as always closing a…

Artificial Intelligence · Computer Science 2017-06-27 Ronen Brafman , Giuseppe De Giacomo , Fabio Patrizi

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

Machine Learning · Computer Science 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

Non-markovian Reinforcement Learning (RL) tasks are very hard to solve, because agents must consider the entire history of state-action pairs to act rationally in the environment. Most works use symbolic formalisms (as Linear Temporal Logic…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Francesco Argenziano , Roberto Capobianco

We propose an actor-critic, model-free, and online Reinforcement Learning (RL) framework for continuous-state continuous-action Markov Decision Processes (MDPs) when the reward is highly sparse but encompasses a high-level temporal…

Machine Learning · Computer Science 2019-11-26 Lim Zun Yuan , Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

This paper addresses the problem of learning control policies for mobile robots, modeled as unknown Markov Decision Processes (MDPs), that are tasked with temporal logic missions, such as sequencing, coverage, or surveillance. The MDP…

Robotics · Computer Science 2022-07-13 Yiannis Kantaros

There are situations in which an agent should receive rewards only after having accomplished a series of previous tasks, that is, rewards are non-Markovian. One natural and quite general way to represent history-dependent rewards is via a…

Artificial Intelligence · Computer Science 2020-10-01 Gavin Rens , Jean-François Raskin , Raphaël Reynouad , Giuseppe Marra

The linear Markov Decision Process (MDP) framework offers a principled foundation for reinforcement learning (RL) with strong theoretical guarantees and sample efficiency. However, its restrictive assumption-that both transition dynamics…

Machine Learning · Statistics 2025-06-03 Sinian Zhang , Kaicheng Zhang , Ziping Xu , Tianxi Cai , Doudou Zhou

We present two elegant solutions for modeling continuous-time dynamics, in a novel model-based reinforcement learning (RL) framework for semi-Markov decision processes (SMDPs), using neural ordinary differential equations (ODEs). Our models…

Machine Learning · Computer Science 2020-10-27 Jianzhun Du , Joseph Futoma , Finale Doshi-Velez

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

Machine Learning · Computer Science 2019-08-22 Tiancheng Yu , Suvrit Sra

Multi-task representation learning (MTRL) is an approach that learns shared latent representations across related tasks, facilitating collaborative learning that improves the overall learning efficiency. This paper studies MTRL for…

Machine Learning · Computer Science 2026-04-07 Yaoze Guo , Shana Moothedath

Model-based Reinforcement Learning (RL) is a popular learning paradigm due to its potential sample efficiency compared to model-free RL. However, existing empirical model-based RL approaches lack the ability to explore. This work studies a…

Machine Learning · Computer Science 2021-07-16 Yuda Song , Wen Sun
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