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We present a Bayesian sequential decision-making formulation of the information filtering problem, in which an algorithm presents items (news articles, scientific papers, tweets) arriving in a stream, and learns relevance from user feedback…

Machine Learning · Computer Science 2016-10-25 Bangrui Chen , Peter I. Frazier

We study offline Reinforcement Learning in large infinite-horizon discounted Markov Decision Processes (MDPs) when the reward and transition models are linearly realizable under a known feature map. Starting from the classic linear-program…

Machine Learning · Computer Science 2024-05-24 Gergely Neu , Nneka Okolo

The problem of optimal feedback planning among obstacles in d-dimensional configuration spaces is considered. We present a sampling-based, asymptotically optimal feedback planning method. Our method combines an incremental construction of…

Robotics · Computer Science 2015-04-30 Dmitry Yershov , Michael Otte , Emilio Frazzoli

Diffusion models have recently shown promise in offline RL. However, these methods often suffer from high training costs and slow convergence, particularly when using transformer-based denoising backbones. While several optimization…

Machine Learning · Computer Science 2025-06-23 Zhiying Qiu , Tao Lin

We study the problem of Reinforcement Learning (RL) with linear function approximation, i.e. assuming the optimal action-value function is linear in a known $d$-dimensional feature mapping. Unfortunately, however, based on only this…

Machine Learning · Computer Science 2022-11-15 Zeyu Jia , Randy Jia , Dhruv Madeka , Dean P. Foster

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

We study the problem of deployment efficient reinforcement learning (RL) with linear function approximation under the \emph{reward-free} exploration setting. This is a well-motivated problem because deploying new policies is costly in…

Machine Learning · Computer Science 2023-02-23 Dan Qiao , Yu-Xiang Wang

Among the reasons hindering reinforcement learning (RL) applications to real-world problems, two factors are critical: limited data and the mismatch between the testing environment (real environment in which the policy is deployed) and the…

Machine Learning · Computer Science 2023-01-30 Xiaoteng Ma , Zhipeng Liang , Jose Blanchet , Mingwen Liu , Li Xia , Jiheng Zhang , Qianchuan Zhao , Zhengyuan Zhou

The linear programming (LP) approach has a long history in the theory of approximate dynamic programming. When it comes to computation, however, the LP approach often suffers from poor scalability. In this work, we introduce a relaxed…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Andrea Martinelli , Matilde Gargiani , John Lygeros

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

We establish an algorithm to learn feedback maps from data for a class of robust model predictive control (MPC) problems. The algorithm accounts for the approximation errors due to the learning directly at the synthesis stage, ensuring…

Optimization and Control · Mathematics 2025-10-16 Siddhartha Ganguly , Shubham Gupta , Debasish Chatterjee

Diffusion-based planning, learning, and control methods present a promising branch of powerful and expressive decision-making solutions. Given the growing interest, such methods have undergone numerous refinements over the past years.…

Machine Learning · Computer Science 2025-02-19 Dom Huh , Prasant Mohapatra

In this paper, we present a progressive and iterative approximation method with memory for least square fitting(MLSPIA). It adjusts the control points and the weighted sums iteratively to construct a series of fitting curves (surfaces) with…

Numerical Analysis · Mathematics 2019-08-22 Zheng-Da Huang , Hui-Di Wang

The curse of dimensionality is a widely known issue in reinforcement learning (RL). In the tabular setting where the state space $\mathcal{S}$ and the action space $\mathcal{A}$ are both finite, to obtain a nearly optimal policy with…

Machine Learning · Computer Science 2022-10-28 Bingyan Wang , Yuling Yan , Jianqing Fan

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

Numerical Analysis · Mathematics 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

This paper presents a learning based planner for computing optimized 3D printing toolpaths on prescribed graphs, the challenges of which include the varying graph structures on different models and the large scale of nodes & edges on a…

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

Numerical Analysis · Computer Science 2019-09-05 Dimitri P. Bertsekas

In many reinforcement learning (RL) applications, we want policies that reach desired states and then keep the controlled system within an acceptable region around the desired states over an indefinite period of time. This latter objective…

Machine Learning · Computer Science 2024-05-28 Brahma S. Pavse , Matthew Zurek , Yudong Chen , Qiaomin Xie , Josiah P. Hanna

Deep Reinforcement Learning (RL) methods rely on experience replay to approximate the minibatched supervised learning setting; however, unlike supervised learning where access to lots of training data is crucial to generalization,…

Machine Learning · Computer Science 2021-02-24 Brett Daley , Cameron Hickert , Christopher Amato

This paper explores the problem of simultaneously learning a value function and policy in deep actor-critic reinforcement learning models. We find that the common practice of learning these functions jointly is sub-optimal, due to an…

Machine Learning · Computer Science 2022-11-15 Matthew Aitchison , Penny Sweetser