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A key challenge in satisficing planning is to use multiple heuristics within one heuristic search. An aggregation of multiple heuristic estimates, for example by taking the maximum, has the disadvantage that bad estimates of a single…

Artificial Intelligence · Computer Science 2021-04-13 David Speck , André Biedenkapp , Frank Hutter , Robert Mattmüller , Marius Lindauer

The Set-Union Knapsack Problem (SUKP) and Budgeted Maximum Coverage Problem (BMCP) are two closely related variant problems of the popular knapsack problem. Given a set of weighted elements and a set of items with nonnegative values, where…

Data Structures and Algorithms · Computer Science 2022-07-05 Wenli Zhu , Liangqing Luo

In the forthcoming 6G era, extend reality (XR) has been regarded as an emerging application for ultra-reliable and low latency communications (URLLC) with new traffic characteristics and more stringent requirements. In addition to the…

Networking and Internet Architecture · Computer Science 2025-04-08 Luyuan Zhang , An Liu , Kexuan Wang

We study the basic allocation problem of assigning resources to players so as to maximize fairness. This is one of the few natural problems that enjoys the intriguing status of having a better estimation algorithm than approximation…

Data Structures and Algorithms · Computer Science 2016-11-24 Chidambaram Annamalai , Christos Kalaitzis , Ola Svensson

Reinforcement Learning (RL) has emerged as a powerful tool for neural combinatorial optimization, enabling models to learn heuristics that solve complex problems without requiring expert knowledge. Despite significant progress, existing RL…

Machine Learning · Computer Science 2025-05-14 Mingjun Pan , Guanquan Lin , You-Wei Luo , Bin Zhu , Zhien Dai , Lijun Sun , Chun Yuan

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

Machine Learning · Statistics 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

We study a class of constrained reinforcement learning (RL) problems in which multiple constraint specifications are not identified before training. It is challenging to identify appropriate constraint specifications due to the undefined…

Optimization and Control · Mathematics 2024-01-02 Dongsheng Ding , Zhengyan Huan , Alejandro Ribeiro

The Maximum Clique Problem (MCP) is a foundational NP-hard problem with wide-ranging applications, yet no single algorithm consistently outperforms all others across diverse graph instances. This underscores the critical need for…

Machine Learning · Computer Science 2025-12-09 Xiang Li , Shanshan Wang , Chenglong Xiao

Recent advancements in the flexible job-shop scheduling problem (FJSSP) are primarily based on deep reinforcement learning (DRL) due to its ability to generate high-quality, real-time solutions. However, DRL approaches often fail to fully…

Artificial Intelligence · Computer Science 2024-03-15 Imanol Echeverria , Maialen Murua , Roberto Santana

Meta-reinforcement learning has widely been used as a learning-to-learn framework to solve unseen tasks with limited experience. However, the aspect of constraint violations has not been adequately addressed in the existing works, making…

Machine Learning · Computer Science 2024-05-28 Vanshaj Khattar , Yuhao Ding , Bilgehan Sel , Javad Lavaei , Ming Jin

Reinforcement learning has been explored for many problems, from video games with deterministic environments to portfolio and operations management in which scenarios are stochastic; however, there have been few attempts to test these…

General Finance · Quantitative Finance 2024-02-19 Sherly Alfonso-Sánchez , Jesús Solano , Alejandro Correa-Bahnsen , Kristina P. Sendova , Cristián Bravo

Constrained Reinforcement Learning (CRL) is a subset of machine learning that introduces constraints into the traditional reinforcement learning (RL) framework. Unlike conventional RL which aims solely to maximize cumulative rewards, CRL…

Artificial Intelligence · Computer Science 2024-12-02 Xiaoshan Lin , Sadık Bera Yüksel , Yasin Yazıcıoğlu , Derya Aksaray

Optimal execution is a sequential decision-making problem for cost-saving in algorithmic trading. Studies have found that reinforcement learning (RL) can help decide the order-splitting sizes. However, a problem remains unsolved: how to…

Trading and Market Microstructure · Quantitative Finance 2022-07-25 Feiyang Pan , Tongzhe Zhang , Ling Luo , Jia He , Shuoling Liu

In this paper the connection between stochastic optimal control and reinforcement learning is investigated. Our main motivation is to apply importance sampling to sampling rare events which can be reformulated as an optimal control problem.…

Optimization and Control · Mathematics 2024-02-16 Jannes Quer , Enric Ribera Borrell

The goal of this paper is to present a method for simultaneous trajectory and local stabilizing policy optimization to generate local policies for trajectory-centric model-based reinforcement learning (MBRL). This is motivated by the fact…

Recent advances in deep reinforcement learning (deep RL) enable researchers to solve challenging control problems, from simulated environments to real-world robotic tasks. However, deep RL algorithms are known to be sensitive to the problem…

Robotics · Computer Science 2023-02-01 Joanne Taery Kim , Sehoon Ha

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city…

Artificial Intelligence · Computer Science 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio

Dominating Set is a well-known combinatorial optimization problem which finds application in computational biology or mobile communication. Because of its $\mathrm{NP}$-hardness, one often turns to heuristics for good solutions. Many such…

Data Structures and Algorithms · Computer Science 2026-01-21 Hendrik Higl

Clustering is a long-standing research problem and a fundamental tool in AI and data analysis. The traditional k-center problem, a fundamental theoretical challenge in clustering, has a best possible approximation ratio of 2, and any…

Machine Learning · Computer Science 2026-04-28 Chaoqi Jia , Longkun Guo , Kewen Liao , Zhigang Lu , Chao Chen , Jason Xue