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In reinforcement learning (RL), state representations are key to dealing with large or continuous state spaces. While one of the promises of deep learning algorithms is to automatically construct features well-tuned for the task they try to…

Machine Learning · Computer Science 2023-06-21 Charline Le Lan , Stephen Tu , Mark Rowland , Anna Harutyunyan , Rishabh Agarwal , Marc G. Bellemare , Will Dabney

We study finite-horizon continuous-time policy evaluation from discrete closed-loop trajectories under time-inhomogeneous dynamics. The target value surface solves a backward parabolic equation, but the Bellman baseline obtained from…

Machine Learning · Statistics 2026-05-11 Yaowei Zheng , Richong Zhang , Shenxi Wu , Shirui Bian , Haosong Zhang , Li Zeng , Xingjian Ma , Yichi Zhang

Learning robust value functions given raw observations and rewards is now possible with model-free and model-based deep reinforcement learning algorithms. There is a third alternative, called Successor Representations (SR), which decomposes…

Machine Learning · Statistics 2016-06-09 Tejas D. Kulkarni , Ardavan Saeedi , Simanta Gautam , Samuel J. Gershman

Abstraction plays an important role in the generalisation of knowledge and skills and is key to sample efficient learning. In this work, we study joint temporal and state abstraction in reinforcement learning, where temporally-extended…

Machine Learning · Computer Science 2022-06-09 Dongge Han , Sebastian Tschiatschek

The analysis of Temporal Difference (TD) learning in the average-reward setting faces notable theoretical difficulties because the Bellman operator is not contractive with respect to any norm. This complicates standard analyses of…

Machine Learning · Computer Science 2026-05-05 Haoxing Tian , Zaiwei Chen , Ioannis Ch. Paschalidis , Alex Olshevsky

To perform robot manipulation tasks, a low-dimensional state of the environment typically needs to be estimated. However, designing a state estimator can sometimes be difficult, especially in environments with deformable objects. An…

Robotics · Computer Science 2019-07-16 Xingyu Lin , Harjatin Singh Baweja , David Held

Reinforcement learning algorithms typically rely on the assumption that the environment dynamics and value function can be expressed in terms of a Markovian state representation. However, when state information is only partially observable,…

In reinforcement learning, the value function is typically trained to solve the Bellman equation, which connects the current value to future values. This temporal dependency hints that the value function may contain implicit information…

Machine Learning · Computer Science 2025-01-17 Jacob Adamczyk

Temporal-Difference (TD) learning is a general and very useful tool for estimating the value function of a given policy, which in turn is required to find good policies. Generally speaking, TD learning updates states whenever they are…

Machine Learning · Computer Science 2021-08-24 Nishanth Anand , Doina Precup

Reinforcement learning algorithms in multi-agent systems deliver highly resilient and adaptable solutions for common problems in telecommunications,aerospace, and industrial robotics. However, achieving an optimal global goal remains a…

Multiagent Systems · Computer Science 2021-05-18 Changgang Zheng , Shufan Yang , Juan Parra-Ullauri , Antonio Garcia-Dominguez , Nelly Bencomo

Animals need to devise strategies to maximize returns while interacting with their environment based on incoming noisy sensory observations. Task-relevant states, such as the agent's location within an environment or the presence of a…

Machine Learning · Statistics 2019-06-25 Eszter Vertes , Maneesh Sahani

We propose a refinement of temporal-difference learning that enforces first-order Bellman consistency: the learned value function is trained to match not only the Bellman targets in value but also their derivatives with respect to states…

Machine Learning · Computer Science 2025-11-25 Fabian Schramm , Nicolas Perrin-Gilbert , Justin Carpentier

We explore fixed-horizon temporal difference (TD) methods, reinforcement learning algorithms for a new kind of value function that predicts the sum of rewards over a $\textit{fixed}$ number of future time steps. To learn the value function…

Machine Learning · Computer Science 2020-02-12 Kristopher De Asis , Alan Chan , Silviu Pitis , Richard S. Sutton , Daniel Graves

In model-free reinforcement learning, the temporal difference method and its variants become unstable when combined with nonlinear function approximations. Bellman residual minimization with stochastic gradient descent (SGD) is more stable,…

Optimization and Control · Mathematics 2020-06-12 Yuhua Zhu , Zach Izzo , Lexing Ying

The convergence of many reinforcement learning (RL) algorithms with linear function approximation has been investigated extensively but most proofs assume that these methods converge to a unique solution. In this paper, we provide a…

Machine Learning · Computer Science 2019-05-29 Marcus Hutter , Samuel Yang-Zhao , Sultan J. Majeed

Conventional reinforcement learning (RL) methods can successfully solve a wide range of sequential decision problems. However, learning policies that can generalize predictably across multiple tasks in a setting with non-Markovian reward…

Machine Learning · Computer Science 2024-06-04 Guillermo Infante , David Kuric , Anders Jonsson , Vicenç Gómez , Herke van Hoof

Natural learners must compute an estimate of future outcomes that follow from a stimulus in continuous time. Widely used reinforcement learning algorithms discretize continuous time and estimate either transition functions from one step to…

Artificial Intelligence · Computer Science 2018-10-30 Zoran Tiganj , Samuel J. Gershman , Per B. Sederberg , Marc W. Howard

Many recent algorithms for reinforcement learning are model-free and founded on the Bellman equation. Here we present a method founded on the costate equation and models of the state dynamics. We use the costate -- the gradient of cost with…

Machine Learning · Computer Science 2018-10-04 Bita Behrouzi , Xuefei Liu , Douglas Tweed

Off-policy algorithms, in which a behavior policy differs from the target policy and is used to gain experience for learning, have proven to be of great practical value in reinforcement learning. However, even for simple convex problems…

Machine Learning · Computer Science 2022-09-13 Rong J. B. Zhu , James M. Murray

Reinforcement learning usually uses the feedback rewards of environmental to train agents. But the rewards in the actual environment are sparse, and even some environments will not rewards. Most of the current methods are difficult to get…

Machine Learning · Computer Science 2020-01-13 Kai Jiang , XiaoLong Qin