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We consider the challenge of finding a deterministic policy for a Markov decision process that uniformly (in all states) maximizes one reward subject to a probabilistic constraint over a different reward. Existing solutions do not fully…

Machine Learning · Computer Science 2022-01-21 Jaeyoung Lee , Sean Sedwards , Krzysztof Czarnecki

Episodic tasks in Reinforcement Learning (RL) often pose challenges due to sparse reward signals and high-dimensional state spaces, which hinder efficient learning. Additionally, these tasks often feature hidden "trap states" --…

Machine Learning · Computer Science 2025-05-23 Yuxuan Li , Yicheng Gao , Ning Yang , Stephen Xia

Biological systems often choose actions without an explicit reward signal, a phenomenon known as intrinsic motivation. The computational principles underlying this behavior remain poorly understood. In this study, we investigate an…

Artificial Intelligence · Computer Science 2023-01-05 Stas Tiomkin , Ilya Nemenman , Daniel Polani , Naftali Tishby

A step-reinforced random walk is a discrete-time non-Markovian process with long range memory. At each step, with a fixed probability p, the positively step-reinforced random walk repeats one of its preceding steps chosen uniformly at…

Probability · Mathematics 2023-11-28 Zhishui Hu , Yiting Zhang

Reinforcement Learning (RL) has emerged as a powerful paradigm for advancing Large Language Models (LLMs), achieving remarkable performance in complex reasoning domains such as mathematics and code generation. However, current RL methods…

Machine Learning · Computer Science 2025-12-10 Jingyu Xing , Chenwei Tang , Xinyu Liu , Deng Xiong , Shudong Huang , Wei Ju , Jiancheng Lv , Ziyue Qiao

Offline reinforcement learning (RL) aims to optimize a policy using collected data without online interactions. Model-based approaches are particularly appealing for addressing offline RL challenges because of their capability to mitigate…

Machine Learning · Computer Science 2026-04-14 Hao Li , Xiao-Hu Zhou , Shu-Hai Li , Mei-Jiang Gui , Xiao-Liang Xie , Shi-Qi Liu , Shuang-Yi Wang , Zhen-Qiu Feng , Zeng-Guang Hou

We consider the approximation of the performance of random walks in the quarter-plane. The approximation is in terms of a random walk with a product-form stationary distribution, which is obtained by perturbing the transition probabilities…

Probability · Mathematics 2014-09-15 Jasper Goseling , Richard J. Boucherie , Jan-Kees van Ommeren

Many organisms navigate gradients by alternating straight motions (runs) with random reorientations (tumbles), transiently suppressing tumbles whenever attractant signal increases. This induces a functional coupling between movement and…

Cell Behavior · Quantitative Biology 2017-04-12 Junjiajia Long , Steven W. Zucker , Thierry Emonet

Reinforcement learning (RL) algorithms aim to balance exploiting the current best strategy with exploring new options that could lead to higher rewards. Most common RL algorithms use undirected exploration, i.e., select random sequences of…

Machine Learning · Computer Science 2025-08-01 Bhavya Sukhija , Stelian Coros , Andreas Krause , Pieter Abbeel , Carmelo Sferrazza

We study reinforcement learning (RL) problems in which agents observe the reward or transition realizations at their current state before deciding which action to take. Such observations are available in many applications, including…

Machine Learning · Computer Science 2024-10-22 Nadav Merlis

Inverse reinforcement learning aims to infer the reward function that explains expert behavior observed through trajectories of state--action pairs. A long-standing difficulty in classical IRL is the non-uniqueness of the recovered reward:…

Machine Learning · Statistics 2025-12-09 Denis Belomestny , Alexey Naumov , Sergey Samsonov

Learning a precise dynamics model can be crucial for offline reinforcement learning, which, unfortunately, has been found to be quite challenging. Dynamics models that are learned by fitting historical transitions often struggle to…

Machine Learning · Computer Science 2023-10-10 Fan-Ming Luo , Tian Xu , Xingchen Cao , Yang Yu

We consider a novel variant of the contextual bandit problem (i.e., the multi-armed bandit with side-information, or context, available to a decision-maker) where the reward associated with each context-based decision may not always be…

Machine Learning · Computer Science 2020-07-21 Djallel Bouneffouf , Sohini Upadhyay , Yasaman Khazaeni

Preference-based Reinforcement Learning (PbRL) provides a way to learn high-performance policies in environments where the reward signal is hard to specify, avoiding heuristic and time-consuming reward design. However, PbRL can suffer from…

Machine Learning · Computer Science 2025-07-02 Chenyang Cao , Miguel Rogel-García , Mohamed Nabail , Xueqian Wang , Nicholas Rhinehart

This work handles the inverse reinforcement learning (IRL) problem where only a small number of demonstrations are available from a demonstrator for each high-dimensional task, insufficient to estimate an accurate reward function. Observing…

Artificial Intelligence · Computer Science 2017-10-16 Kun Li , Joel W. Burdick

When there exists an unlearnable source of randomness (noisy-TV) in the environment, a naively intrinsic reward driven exploring agent gets stuck at that source of randomness and fails at exploration. Intrinsic reward based on uncertainty…

Machine Learning · Computer Science 2026-04-06 Zhibo Hou , Zhiyu An , Wan Du

Designing dense rewards is crucial for reinforcement learning (RL), yet in robotics it often demands extensive manual effort and lacks scalability. One promising solution is to view task progress as a dense reward signal, as it quantifies…

Artificial Intelligence · Computer Science 2026-05-21 Yuyang Liu , Chuan Wen , Yihang Hu , Dinesh Jayaraman , Yang Gao

This paper explores an intrinsic motivation for mutual awareness, hypothesizing that humans possess a fundamental drive to understand and to be understood even in the absence of extrinsic rewards. Through simulations of the perceptual…

Machine Learning · Computer Science 2025-04-11 Chrisantha Fernando , Dylan Banarse , Simon Osindero

Sparse rewards are double-edged training signals in reinforcement learning: easy to design but hard to optimize. Intrinsic motivation guidances have thus been developed toward alleviating the resulting exploration problem. They usually…

Machine Learning · Computer Science 2021-06-01 Mathieu Seurin , Florian Strub , Philippe Preux , Olivier Pietquin

An effective approach to exploration in reinforcement learning is to rely on an agent's uncertainty over the optimal policy, which can yield near-optimal exploration strategies in tabular settings. However, in non-tabular settings that…