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Related papers: Constrained Optimization with Qualitative Preferen…

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A Qualitative Constraint Network (QCN) is a constraint graph for representing problems under qualitative temporal and spatial relations, among others. More formally, a QCN includes a set of entities, and a list of qualitative constraints…

Artificial Intelligence · Computer Science 2021-09-27 Malek Mouhoub , Hamad Al Marri , Eisa Alanazi

In the Correlation Clustering problem we are given $n$ nodes, and a preference for each pair of nodes indicating whether we prefer the two endpoints to be in the same cluster or not. The output is a clustering inducing the minimum number of…

Data Structures and Algorithms · Computer Science 2025-01-07 Nick Fischer , Evangelos Kipouridis , Jonas Klausen , Mikkel Thorup

Across many disciplines, chemical reaction networks (CRNs) are an established population model defined as a system of coupled nonlinear ordinary differential equations. In many applications, for example, in systems biology and epidemiology,…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Kim G. Larsen , Daniele Toller , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

We study \emph{online episodic Constrained Markov Decision Processes} (CMDPs) under both stochastic and adversarial constraints. We provide a novel algorithm whose guarantees greatly improve those of the state-of-the-art best-of-both-worlds…

Constrained Markov Decision Processes are a class of stochastic decision problems in which the decision maker must select a policy that satisfies auxiliary cost constraints. This paper extends upper confidence reinforcement learning for…

Machine Learning · Computer Science 2020-01-28 Liyuan Zheng , Lillian J. Ratliff

Safe reinforcement learning (RL) studies problems where an intelligent agent has to not only maximize reward but also avoid exploring unsafe areas. In this study, we propose CUP, a novel policy optimization method based on Constrained…

Machine Learning · Computer Science 2022-11-10 Long Yang , Jiaming Ji , Juntao Dai , Linrui Zhang , Binbin Zhou , Pengfei Li , Yaodong Yang , Gang Pan

Preference are central to decision making by both machines and humans. Representing, learning, and reasoning with preferences is an important area of study both within computer science and across the sciences. When working with preferences…

Machine Learning · Computer Science 2020-10-15 Andrea Loreggia , Nicholas Mattei , Francesca Rossi , K. Brent Venable

Applying reinforcement learning (RL) to real-world problems is often made challenging by the inability to interact with the environment and the difficulty of designing reward functions. Offline RL addresses the first challenge by…

Machine Learning · Computer Science 2025-03-03 Alizée Pace , Bernhard Schölkopf , Gunnar Rätsch , Giorgia Ramponi

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

Optimization and Control · Mathematics 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

This paper considers online convex optimization with long term constraints, where constraints can be violated in intermediate rounds, but need to be satisfied in the long run. The cumulative constraint violation is used as the metric to…

Machine Learning · Computer Science 2021-06-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Tianyou Chai , Karl H. Johansson

In this paper we focus on the solution of online problems with time-varying, linear equality and inequality constraints. Our approach is to design a novel online algorithm by leveraging the tools of control theory. In particular, for the…

Optimization and Control · Mathematics 2025-09-04 Umberto Casti , Nicola Bastianello , Ruggero Carli , Sandro Zampieri

We study the problem of eliciting the preferences of a decision-maker through a moderate number of pairwise comparison queries to make them a high quality recommendation for a specific problem. We are motivated by applications in high…

Optimization and Control · Mathematics 2021-12-09 Phebe Vayanos , Yingxiao Ye , Duncan McElfresh , John Dickerson , Eric Rice

When deploying machine learning solutions, they must satisfy multiple requirements beyond accuracy, such as fairness, robustness, or safety. These requirements are imposed during training either implicitly, using penalties, or explicitly,…

Machine Learning · Computer Science 2024-01-12 Ignacio Hounie , Alejandro Ribeiro , Luiz F. O. Chamon

A number of results have recently demonstrated the benefits of incorporating various constraints when training deep architectures in vision and machine learning. The advantages range from guarantees for statistical generalization to better…

Machine Learning · Computer Science 2019-05-27 Sathya N. Ravi , Tuan Dinh , Vishnu Lokhande , Vikas Singh

Many applications, e.g., Web service composition, complex system design, team formation, etc., rely on methods for identifying collections of objects or entities satisfying some functional requirement. Among the collections that satisfy the…

Artificial Intelligence · Computer Science 2014-01-17 Ganesh Ram Santhanam , Samik Basu , Vasant Honavar

Safe Reinforcement Learning (RL) often faces significant issues such as constraint violations and instability, necessitating the use of constrained policy optimization, which seeks optimal policies while ensuring adherence to specific…

Machine Learning · Computer Science 2025-08-07 Ning Yang , Pengyu Wang , Guoqing Liu , Haifeng Zhang , Pin Lv , Jun Wang

In this work, we propose a novel inverse reinforcement learning (IRL) algorithm for constrained Markov decision process (CMDP) problems. In standard IRL problems, the inverse learner or agent seeks to recover the reward function of the MDP,…

Machine Learning · Computer Science 2024-01-08 Nirjhar Das , Arpan Chattopadhyay

Direct Preference Optimization (DPO) is a simple and efficient framework that has attracted substantial attention. However, it often struggles to meet its primary objectives -- increasing the generation probability of chosen responses while…

Artificial Intelligence · Computer Science 2025-06-17 Jay Hyeon Cho , JunHyeok Oh , Myunsoo Kim , Byung-Jun Lee

Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among them, the configuration model constrains random networks by…

Social and Information Networks · Computer Science 2025-01-28 Laurent Hébert-Dufresne , Jean-Gabriel Young , Alexander Daniels , Alec Kirkley , Antoine Allard

The problem of constrained Markov decision process is considered. An agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its costs (the number of constraints is relatively small). A new dual…

Optimization and Control · Mathematics 2022-10-21 Egor Gladin , Maksim Lavrik-Karmazin , Karina Zainullina , Varvara Rudenko , Alexander Gasnikov , Martin Takáč