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In this paper, we demonstrate how to learn the objective function of a decision-maker while only observing the problem input data and the decision-maker's corresponding decisions over multiple rounds. We present exact algorithms for this…

Optimization and Control · Mathematics 2020-03-31 Andreas Bärmann , Alexander Martin , Sebastian Pokutta , Oskar Schneider

This paper concerns the central issues of model robustness and sample efficiency in offline reinforcement learning (RL), which aims to learn to perform decision making from history data without active exploration. Due to uncertainties and…

Machine Learning · Computer Science 2024-01-01 Laixi Shi , Yuejie Chi

A method for the nonintrusive and structure-preserving model reduction of canonical and noncanonical Hamiltonian systems is presented. Based on the idea of operator inference, this technique is provably convergent and reduces to a…

Machine Learning · Computer Science 2023-06-27 Anthony Gruber , Irina Tezaur

This paper describes a purely data-driven solution to a class of sequential decision-making problems with a large number of concurrent online decisions, with applications to computing systems and operations research. We assume that while…

Artificial Intelligence · Computer Science 2019-10-02 Hardik Meisheri , Vinita Baniwal , Nazneen N Sultana , Balaraman Ravindran , Harshad Khadilkar

We introduce a reinforcement learning algorithm designed to identify the fixed points of a given quantum operation. The method iteratively constructs the unitary transformation that maps the computational basis onto the basis of fixed…

Quantum Physics · Physics 2025-11-25 María Laura Olivera-Atencio , Jesús Casado-Pascual , Denis Lacroix

This work provides a rigorous framework for studying continuous time control problems in uncertain environments. The framework considered models uncertainty in state dynamics as a measure on the space of functions. This measure is…

Optimization and Control · Mathematics 2018-02-22 Ryan Murray , Michele Palladino

In offline model-based reinforcement learning (offline MBRL), we learn a dynamic model from historically collected data, and subsequently utilize the learned model and fixed datasets for policy learning, without further interacting with the…

Machine Learning · Computer Science 2022-10-13 Shentao Yang , Shujian Zhang , Yihao Feng , Mingyuan Zhou

Policy evaluation is a fundamental component of the development and deployment pipeline for robotic policies. In modern manipulation systems, this problem is particularly challenging: rewards are often sparse, task progression of evaluation…

Robotics · Computer Science 2026-05-13 Hao Wang , Joshua Bowden , Colton Crosby , Somil Bansal

Interacting with the actual environment to acquire data is often costly and time-consuming in robotic tasks. Model-based offline reinforcement learning (RL) provides a feasible solution. On the one hand, it eliminates the requirements of…

Machine Learning · Computer Science 2023-10-17 Pengqin Wang , Meixin Zhu , Shaojie Shen

Reinforcement Learning (RL) is notoriously data-inefficient, which makes training on a real robot difficult. While model-based RL algorithms (world models) improve data-efficiency to some extent, they still require hours or days of…

Machine Learning · Computer Science 2023-10-25 Yunhai Feng , Nicklas Hansen , Ziyan Xiong , Chandramouli Rajagopalan , Xiaolong Wang

Diffusion-based world models have demonstrated strong capabilities in synthesizing realistic long-horizon trajectories for offline reinforcement learning (RL). However, many existing methods do not directly generate actions alongside states…

Machine Learning · Computer Science 2026-05-14 Zongyue Li , Xiao Han , Yusong Li , Niklas Strauss , Matthias Schubert

In this paper, we introduce Hamilton-Jacobi-Bellman (HJB) equations for Q-functions in continuous time optimal control problems with Lipschitz continuous controls. The standard Q-function used in reinforcement learning is shown to be the…

Optimization and Control · Mathematics 2020-05-05 Jeongho Kim , Insoon Yang

This paper studies satisfaction of temporal properties on unknown stochastic processes that have continuous state spaces. We show how reinforcement learning (RL) can be applied for computing policies that are finite-memory and deterministic…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Milad Kazemi , Sadegh Soudjani

Offline Reinforcement Learning (RL) offers an attractive alternative to interactive data acquisition by leveraging pre-existing datasets. However, its effectiveness hinges on the quantity and quality of the data samples. This work explores…

Machine Learning · Computer Science 2024-10-17 Wen Zheng Terence Ng , Jianda Chen , Tianwei Zhang

We consider the problem of sequential decision making under uncertainty in which the loss caused by a decision depends on the following binary observation. In competitive on-line learning, the goal is to design decision algorithms that are…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

In this effort, a novel operator theoretic framework is developed for data-driven solution of optimal control problems. The developed methods focus on the use of trajectories (i.e., time-series) as the fundamental unit of data for the…

Optimization and Control · Mathematics 2021-06-02 Rushikesh Kamalapurkar , Joel A. Rosenfeld

Offline reinforcement learning learns policies from fixed datasets without further environment interaction. A key challenge in this setting is epistemic uncertainty, arising from limited or biased data coverage, particularly when the…

Machine Learning · Computer Science 2026-04-09 Abhilash Reddy Chenreddy , Erick Delage

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

Mathematical Finance · Quantitative Finance 2026-04-27 Thai Nguyen , Pertiny Nkuize

This expository article presents the approach to statistical machine learning based on reproducing kernel Hilbert spaces. The basic framework is introduced for scalar-valued learning and then extended to operator learning. Finally, learning…

Machine Learning · Computer Science 2025-09-24 Lorenzo Rosasco

Workforce optimization plays a crucial role in efficient organizational operations where decision-making may span several different administrative and time scales. For instance, dispatching personnel to immediate service requests while…

Artificial Intelligence · Computer Science 2025-03-04 Kareem Eissa , Rayal Prasad , Sarith Mohan , Ankur Kapoor , Dorin Comaniciu , Vivek Singh
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