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Average-reward reinforcement learning offers a principled framework for long-term decision-making by maximizing the mean reward per time step. Although Q-learning is a widely used model-free algorithm with established sample complexity in…

Machine Learning · Statistics 2026-01-21 Yuchen Jiao , Jiin Woo , Gen Li , Gauri Joshi , Yuejie Chi

We consider the problem of imitation learning from a finite set of expert trajectories, without access to reinforcement signals. The classical approach of extracting the expert's reward function via inverse reinforcement learning, followed…

Machine Learning · Computer Science 2019-06-10 Ruohan Wang , Carlo Ciliberto , Pierluigi Amadori , Yiannis Demiris

Successor-style representations have many advantages for reinforcement learning: for example, they can help an agent generalize from past experience to new goals, and they have been proposed as explanations of behavioral and neural data…

Machine Learning · Computer Science 2021-03-17 Kianté Brantley , Soroush Mehri , Geoffrey J. Gordon

The recently proposed distributional approach to reinforcement learning (DiRL) is centered on learning the distribution of the reward-to-go, often referred to as the value distribution. In this work, we show that the distributional Bellman…

Machine Learning · Computer Science 2018-08-07 Dror Freirich , Ron Meir , Aviv Tamar

In classical Q-learning, the objective is to maximize the sum of discounted rewards through iteratively using the Bellman equation as an update, in an attempt to estimate the action value function of the optimal policy. Conventionally, the…

Machine Learning · Computer Science 2019-06-25 Hadi S. Jomaa , Josif Grabocka , Lars Schmidt-Thieme

A basic assumption of traditional reinforcement learning is that the value of a reward does not change once it is received by an agent. The present work forgoes this assumption and considers the situation where the value of a reward decays…

Artificial Intelligence · Computer Science 2023-03-01 Taylor Dohmen , Ashutosh Trivedi

A dynamic mean field theory is developed for finite state and action Bayesian reinforcement learning in the large state space limit. In an analogy with statistical physics, the Bellman equation is studied as a disordered dynamical system;…

Machine Learning · Statistics 2023-07-13 George Stamatescu

For continuing environments, reinforcement learning (RL) methods commonly maximize the discounted reward criterion with discount factor close to 1 in order to approximate the average reward (the gain). However, such a criterion only…

Machine Learning · Computer Science 2022-07-05 Vektor Dewanto , Marcus Gallagher

This paper presents a novel state representation for reward-free Markov decision processes. The idea is to learn, in a self-supervised manner, an embedding space where distances between pairs of embedded states correspond to the minimum…

Machine Learning · Computer Science 2022-05-05 Lorenzo Steccanella , Anders Jonsson

Reward-free reinforcement learning (RL) is a framework which is suitable for both the batch RL setting and the setting where there are many reward functions of interest. During the exploration phase, an agent collects samples without using…

Machine Learning · Computer Science 2020-06-22 Ruosong Wang , Simon S. Du , Lin F. Yang , Ruslan Salakhutdinov

Reward specification plays a central role in reinforcement learning (RL), guiding the agent's behavior. To express non-Markovian rewards, formalisms such as reward machines have been introduced to capture dependencies on histories. However,…

Artificial Intelligence · Computer Science 2026-05-13 Rajarshi Roy , Anirban Majumdar , Ritam Raha , David Parker , Marta Kwiatkowska

Multimodal large language models (MLLMs) struggle with numerical regression under long-tailed target distributions. Token-level supervised fine-tuning (SFT) and point-wise regression rewards bias learning toward high-density regions,…

Computation and Language · Computer Science 2026-05-12 Yao Du , Shanshan Song , Xiaomeng Li

In this paper, as a study of reinforcement learning, we converge the Q function to unbounded rewards such as Gaussian distribution. From the central limit theorem, in some real-world applications it is natural to assume that rewards follow…

Optimization and Control · Mathematics 2021-09-14 Konatsu Miyamoto , Masaya Suzuki , Yuma Kigami , Kodai Satake

In this paper, we present a novel method for computing the optimal feedback gain of the infinite-horizon Linear Quadratic Regulator (LQR) problem via an ordinary differential equation. We introduce a novel continuous-time Bellman error,…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Armin Gießler , Albertus Johannes Malan , Sören Hohmann

Reinforcement learning (RL) algorithms have been successfully applied to a range of challenging sequential decision making and control tasks. In this paper, we classify RL into direct and indirect RL according to how they seek the optimal…

Machine Learning · Computer Science 2021-05-12 Yang Guan , Shengbo Eben Li , Jingliang Duan , Jie Li , Yangang Ren , Qi Sun , Bo Cheng

Building generalizable goal-conditioned agents from rich observations is a key to reinforcement learning (RL) solving real world problems. Traditionally in goal-conditioned RL, an agent is provided with the exact goal they intend to reach.…

Machine Learning · Computer Science 2022-05-18 Philippe Hansen-Estruch , Amy Zhang , Ashvin Nair , Patrick Yin , Sergey Levine

Recent advances in reinforcement learning (RL) have renewed interest in reward design for shaping agent behavior, but manually crafting reward functions is tedious and error-prone. A principled alternative is to specify behavioral…

Artificial Intelligence · Computer Science 2026-03-23 Milad Kazemi , Mateo Perez , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Alvaro Velasquez

A key question in reinforcement learning is how an intelligent agent can generalize knowledge across different inputs. By generalizing across different inputs, information learned for one input can be immediately reused for improving…

Machine Learning · Computer Science 2020-10-06 Lucas Lehnert , Michael L. Littman

Reinforcement learning is important part of artificial intelligence. In this paper, we review model-free reinforcement learning that utilizes the average reward optimality criterion in the infinite horizon setting. Motivated by the solo…

Machine Learning · Computer Science 2021-08-04 Vektor Dewanto , George Dunn , Ali Eshragh , Marcus Gallagher , Fred Roosta

We present the convergence rates of synchronous and asynchronous Q-learning for average-reward Markov decision processes, where the absence of contraction poses a fundamental challenge. Existing non-asymptotic results overcome this…

Machine Learning · Computer Science 2026-01-30 Zijun Chen , Zaiwei Chen , Nian Si , Shengbo Wang