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Markov decision processes continue to gain in popularity for modeling a wide range of applications ranging from analysis of supply chains and queuing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend…

Optimization and Control · Mathematics 2023-12-07 Ali Eshragh

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

Machine Learning · Computer Science 2026-05-06 Cyrille Kone , Kevin Jamieson

Many problems in sequential decision making and stochastic control often have natural multiscale structure: sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure,…

Artificial Intelligence · Computer Science 2012-12-06 Jake Bouvrie , Mauro Maggioni

We propose an innovative Parallel Quantum Local Search (PQLS) methodology that leverages the capabilities of small-scale quantum computers to efficiently address complex combinatorial optimization problems. Traditional Quantum Local Search…

Quantum Physics · Physics 2024-06-11 Chen-Yu Liu , Kuan-Cheng Chen

Optimal control problems can be solved via a one-shot (single) optimization or a sequence of optimization using dynamic programming (DP). However, the computation of their global optima often faces NP-hardness, and thus only locally optimal…

Optimization and Control · Mathematics 2024-09-04 Jihun Kim , Yuhao Ding , Yingjie Bi , Javad Lavaei

Novel advanced policy gradient (APG) methods, such as Trust Region policy optimization and Proximal policy optimization (PPO), have become the dominant reinforcement learning algorithms because of their ease of implementation and good…

Optimization and Control · Mathematics 2022-03-22 J. G. Dai , Mark Gluzman

The properties of local optimal solutions in multi-objective combinatorial optimization problems are crucial for the effectiveness of local search algorithms, particularly when these algorithms are based on Pareto dominance. Such local…

Artificial Intelligence · Computer Science 2014-09-22 Manuel López-Ibáñez , Arnaud Liefooghe , Sébastien Verel

The Maximum k-plex Problem is an important combinatorial optimization problem with increasingly wide applications. Due to its exponential time complexity, many heuristic methods have been proposed which can return a good-quality solution in…

Artificial Intelligence · Computer Science 2019-06-07 Peilin Chen , Hai Wan , Shaowei Cai , Weilin Luo , Jia Li

Neural Combinatorial Optimization (NCO) has mostly focused on learning policies, typically neural networks, that operate on a single candidate solution at a time, either by constructing one from scratch or iteratively improving it. In…

Neural and Evolutionary Computing · Computer Science 2026-01-14 Andoni Irazusta Garmendia , Josu Ceberio , Alexander Mendiburu

Reinforcement learning-based methods for constructing solutions to combinatorial optimization problems are rapidly approaching the performance of human-designed algorithms. To further narrow the gap, learning-based approaches must…

Machine Learning · Computer Science 2025-10-07 André Hottung , Mridul Mahajan , Kevin Tierney

Local Search is one of the fundamental approaches to combinatorial optimization and it is used throughout AI. Several local search algorithms are based on searching the k-exchange neighborhood. This is the set of solutions that can be…

Data Structures and Algorithms · Computer Science 2012-08-20 Serge Gaspers , Eun Jung Kim , Sebastian Ordyniak , Saket Saurabh , Stefan Szeider

This paper explores a novel approach aimed at overcoming existing challenges in the realm of local search algorithms. Our aim is to improve the decision process that takes place within a local search algorithm so as to make the best…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Mohamed Salim Amri Sakhri , Adrien Goëffon , Olivier Goudet , Frédéric Saubion , Chaïmaâ Touhami

The design of compact deep neural networks is a crucial task to enable widespread adoption of deep neural networks in the real-world, particularly for edge and mobile scenarios. Due to the time-consuming and challenging nature of manually…

Neural and Evolutionary Computing · Computer Science 2019-10-16 Mohammad Javad Shafiee , Andrew Hryniowski , Francis Li , Zhong Qiu Lin , Alexander Wong

Computing high-quality independent sets quickly is an important problem in combinatorial optimization. Several recent algorithms have shown that kernelization techniques can be used to find exact maximum independent sets in medium-sized…

Data Structures and Algorithms · Computer Science 2016-02-05 Jakob Dahlum , Sebastian Lamm , Peter Sanders , Christian Schulz , Darren Strash , Renato F. Werneck

In this paper, we propose a machine learning (ML) method to learn how to solve a generic constrained continuous optimization problem. To the best of our knowledge, the generic methods that learn to optimize, focus on unconstrained…

Machine Learning · Computer Science 2021-01-05 Seyedrazieh Bayati , Faramarz Jabbarvaziri

Local search is a basic building block in memetic algorithms. Guided Local Search (GLS) can improve the efficiency of local search. By changing the guide function, GLS guides a local search to escape from locally optimal solutions and find…

Artificial Intelligence · Computer Science 2017-09-25 Jialong Shi , Qingfu Zhang , Edward Tsang

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

Optimization and Control · Mathematics 2022-05-02 Johannes Müller , Guido Montúfar

Path planning is a crucial algorithmic approach for designing robot behaviors. Sampling-based approaches, like rapidly exploring random trees (RRTs) or probabilistic roadmaps, are prominent algorithmic solutions for path planning problems.…

Robotics · Computer Science 2022-08-05 T. Dam , G. Chalvatzaki , J. Peters , J. Pajarinen

Neural Architecture Search (NAS), i.e., the automation of neural network design, has gained much popularity in recent years with increasingly complex search algorithms being proposed. Yet, solid comparisons with simple baselines are often…

Neural and Evolutionary Computing · Computer Science 2020-07-28 T. Den Ottelander , A. Dushatskiy , M. Virgolin , P. A. N. Bosman