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Over the recent years, reinforcement learning (RL) starts to show promising results in tackling combinatorial optimization (CO) problems, in particular when coupled with curriculum learning to facilitate training. Despite emerging empirical…

Machine Learning · Computer Science 2023-11-07 Runlong Zhou , Zelin He , Yuandong Tian , Yi Wu , Simon S. Du

In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Gregor Leimcke

A common technique in reinforcement learning is to evaluate the value function from Monte Carlo simulations of a given policy, and use the estimated value function to obtain a new policy which is greedy with respect to the estimated value…

Machine Learning · Computer Science 2023-03-01 Anna Winnicki , R. Srikant

A common strategy to deal with the expensive reinforcement learning (RL) of complex tasks is to decompose them into a collection of subtasks that are usually simpler to learn as well as reusable for new problems. However, when a robot…

Robotics · Computer Science 2019-08-02 Domingo Esteban , Leonel Rozo , Darwin G. Caldwell

In past years, the minimax type single-level optimization formulation and its variations have been widely utilized to address Generative Adversarial Networks (GANs). Unfortunately, it has been proved that these alternating learning…

Machine Learning · Computer Science 2022-05-23 Risheng Liu , Jiaxin Gao , Xuan Liu , Xin Fan

Any agents we can possibly build are subject to capacity constraints, as memory and compute resources are inherently finite. However, comparatively little attention has been dedicated to understanding how agents with limited capacity should…

Machine Learning · Computer Science 2025-07-30 Zheng Wen , Doina Precup , Benjamin Van Roy , Satinder Singh

We study realizable continual linear regression under random task orderings, a common setting for developing continual learning theory. In this setup, the worst-case expected loss after $k$ learning iterations admits a lower bound of…

Machine Learning · Computer Science 2025-10-28 Ran Levinstein , Amit Attia , Matan Schliserman , Uri Sherman , Tomer Koren , Daniel Soudry , Itay Evron

Binary optimization has a wide range of applications in combinatorial optimization problems such as MaxCut, MIMO detection, and MaxSAT. However, these problems are typically NP-hard due to the binary constraints. We develop a novel…

Optimization and Control · Mathematics 2023-07-04 Cheng Chen , Ruitao Chen , Tianyou Li , Ruichen Ao , Zaiwen Wen

The design of online algorithms has tended to focus on algorithms with worst-case guarantees, e.g., bounds on the competitive ratio. However, it is well-known that such algorithms are often overly pessimistic, performing sub-optimally on…

Data Structures and Algorithms · Computer Science 2020-12-11 Ali Zeynali , Bo Sun , Mohammad Hajiesmaili , Adam Wierman

In the pursuit of finding an optimal policy, reinforcement learning (RL) methods generally ignore the properties of learned policies apart from their expected return. Thus, even when successful, it is difficult to characterize which…

Machine Learning · Computer Science 2025-10-10 Yash Jhaveri , Harley Wiltzer , Patrick Shafto , Marc G. Bellemare , David Meger

This article introduces an imitation learning method for learning maximum entropy policies that comply with constraints demonstrated by expert trajectories executing a task. The formulation of the method takes advantage of results…

Machine Learning · Computer Science 2025-07-10 George Papadopoulos , George A. Vouros

This work uses the entropy-regularised relaxed stochastic control perspective as a principled framework for designing reinforcement learning (RL) algorithms. Herein agent interacts with the environment by generating noisy controls…

Machine Learning · Computer Science 2023-09-18 Lukasz Szpruch , Tanut Treetanthiploet , Yufei Zhang

Satisfying safety constraints is a priority concern when solving optimal control problems (OCPs). Due to the existence of infeasibility phenomenon, where a constraint-satisfying solution cannot be found, it is necessary to identify a…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Yujie Yang , Zhilong Zheng , Masayoshi Tomizuka , Changliu Liu , Shengbo Eben Li

Recent years have witnessed a growing trend toward employing deep reinforcement learning (Deep-RL) to derive heuristics for combinatorial optimization (CO) problems on graphs. Maximum Coverage Problem (MCP) and its probabilistic variant on…

Machine Learning · Computer Science 2024-07-23 Zhicheng Liang , Yu Yang , Xiangyu Ke , Xiaokui Xiao , Yunjun Gao

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

Offline reinforcement learning (RL) enables learning effective policies from fixed datasets without any environment interaction. Existing methods typically employ policy constraints to mitigate the distribution shift encountered during…

Machine Learning · Computer Science 2026-04-30 Tan Jing , Xiaorui Li , Chao Yao , Xiaojuan Ban , Yuetong Fang , Renjing Xu , Zhaolin Yuan

This paper bridges some of the gap between optimal planning and reinforcement learning (RL), both of which share roots in dynamic programming applied to sequential decision making or optimal control. Whereas planning typically favors…

Robotics · Computer Science 2026-03-10 Filip V. Georgiev , Kalle G. Timperi , Başak Sakçak , Steven M. LaValle

This paper presents an off-policy Gaussian Predictive Control (GPC) framework aimed at solving optimal control problems with a smaller computational footprint, thereby facilitating real-time applicability while ensuring critical safety…

Robotics · Computer Science 2026-03-19 Shiva Kumar Tekumatla , Varun Gampa , Siavash Farzan

In many real-world applications, reinforcement learning (RL) agents might have to solve multiple tasks, each one typically modeled via a reward function. If reward functions are expressed linearly, and the agent has previously learned a set…

Machine Learning · Computer Science 2022-06-24 Lucas N. Alegre , Ana L. C. Bazzan , Bruno C. da Silva

We study the problem of constrained efficient global optimization, where both the objective and constraints are expensive black-box functions that can be learned with Gaussian processes. We propose CONFIG (CONstrained efFIcient Global…

Optimization and Control · Mathematics 2025-02-07 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones
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