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Many optimization problems admit a number of local optima, among which there is the global optimum. For these problems, various heuristic optimization methods have been proposed. Comparing the results of these solvers requires the…

Artificial Intelligence · Computer Science 2019-02-18 Gianfranco Chicco , Andrea Mazza

This paper presents the constrained Hybrid Metaheuristic (cHM) algorithm as a general framework for continuous optimisation. Unlike many existing metaheuristics that are tailored to specific function classes or problem domains, cHM is…

Neural and Evolutionary Computing · Computer Science 2026-03-20 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view. Our analysis exploits fundamental topological properties, such as the continuous dependence of iterates on their…

Optimization and Control · Mathematics 2021-04-13 Michael Muehlebach , Michael I. Jordan

Recent real-time heuristic search algorithms have demonstrated outstanding performance in video-game pathfinding. However, their applications have been thus far limited to that domain. We proceed with the aim of facilitating wider…

Artificial Intelligence · Computer Science 2013-08-16 Daniel Huntley , Vadim Bulitko

Recent advances in Large Language Models have led to remarkable achievements across a variety of Natural Language Processing tasks, making prompt engineering increasingly central to guiding model outputs. While manual methods can be…

Computation and Language · Computer Science 2025-07-15 Wendi Cui , Zhuohang Li , Hao Sun , Damien Lopez , Kamalika Das , Bradley A. Malin , Sricharan Kumar , Jiaxin Zhang

In an era where data-driven decision-making and computational efficiency are paramount, optimization plays a foundational role in advancing fields such as mathematics, computer science, operations research, machine learning, and beyond.…

Numerical Analysis · Mathematics 2025-03-11 Jun Lu

A predominant topic in the theory of evolutionary algorithms and, more generally, theory of randomized black-box optimization techniques is running time analysis. Running time analysis aims at understanding the performance of a given…

Neural and Evolutionary Computing · Computer Science 2018-06-13 Carola Doerr

We consider the problem of finding good finite-horizon policies for POMDPs under the expected reward metric. The policies considered are {em free finite-memory policies with limited memory}; a policy is a mapping from the space of…

Artificial Intelligence · Computer Science 2013-01-30 Christopher Lusena , Tong Li , Shelia Sittinger , Chris Wells , Judy Goldsmith

Consistent hashing is used in distributed systems and networking applications to spread data evenly and efficiently across a cluster of nodes. In this paper, we present MementoHash, a novel consistent hashing algorithm that eliminates known…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

Machine learning algorithms learn a desired input-output relation from examples in order to interpret new inputs. This is important for tasks such as image and speech recognition or strategy optimisation, with growing applications in the IT…

Quantum Physics · Physics 2015-05-27 M. Schuld , I. Sinayskiy , F. Petruccione

Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we explore how concepts and methods from kinetic theory can offer…

Optimization and Control · Mathematics 2024-10-15 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Global optimization solves real-world problems numerically or analytically by minimizing their objective functions. Most of the analytical algorithms are greedy and computationally intractable. Metaheuristics are nature-inspired…

Artificial Intelligence · Computer Science 2021-02-04 Farouq Zitouni , Saad Harous , Abdelghani Belkeram , Lokman Elhakim Baba Hammou

Query optimization has played a central role in database research for decades. However, more often than not, the proposed optimization techniques lead to a performance improvement in some, but not in all, situations. Therefore, we urgently…

Among classical search algorithms with the same heuristic information, with sufficient memory A* is essentially as fast as possible in finding a proven optimal solution. However, in many situations optimal solutions are simply infeasible,…

Artificial Intelligence · Computer Science 2015-11-30 Dimitri Klimenko , Hanna Kurniawati , Marcus Gallagher

The question of how humans solve problem has been addressed extensively. However, the direct study of the effectiveness of this process seems to be overlooked. In this paper, we address the issue of the effectiveness of human problem…

Artificial Intelligence · Computer Science 2018-04-26 Frantisek Duris

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

We propose a novel, flexible algorithm for combining together metaheuristicoptimizers for non-convex optimization problems. Our approach treatsthe constituent optimizers as a team of complex agents that communicateinformation amongst each…

Neural and Evolutionary Computing · Computer Science 2019-06-06 Sujit Pramod Khanna , Alexander Ororbia

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter

Memetic algorithms are techniques that orchestrate the interplay between population-based and trajectory-based algorithmic components. In particular, some memetic models can be regarded under this broad interpretation as a group of…

Neural and Evolutionary Computing · Computer Science 2024-11-05 Jhon Edgar Amaya , Carlos Cotta , Antonio J. Fernández-Leiva , Pablo García-Sánchez

In this work we extend the class of Consensus-Based Optimization (CBO) metaheuristic methods by considering memory effects and a random selection strategy. The proposed algorithm iteratively updates a population of particles according to a…

Optimization and Control · Mathematics 2023-08-16 Giacomo Borghi , Sara Grassi , Lorenzo Pareschi
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