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This paper surveys the recent attempts at leveraging machine learning to solve constrained optimization problems. It focuses on surveying the work on integrating combinatorial solvers and optimization methods with machine learning…

Machine Learning · Computer Science 2021-03-31 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck , Bryan Wilder

Distributed optimization algorithms are widely used in many industrial machine learning applications. However choosing the appropriate algorithm and cluster size is often difficult for users as the performance and convergence rate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-21 Xinghao Pan , Shivaram Venkataraman , Zizheng Tai , Joseph Gonzalez

Learning processes by exploiting restricted domain knowledge is an important task across a plethora of scientific areas, with more and more hybrid training methods additively combining data-driven and model-based approaches. Although the…

Machine Learning · Computer Science 2025-01-17 Yann Claes , Vân Anh Huynh-Thu , Pierre Geurts

Numerical optimization of complex systems benefits from the technological development of computing platforms in the last twenty years. Unfortunately, this is still not enough, and a large computational time is still necessary when…

Optimization and Control · Mathematics 2022-09-07 Daniele Peri

Much has been said about the fusion of bio-inspired optimization algorithms and Deep Learning models for several purposes: from the discovery of network topologies and hyper-parametric configurations with improved performance for a given…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Aritz D. Martinez , Javier Del Ser , Esther Villar-Rodriguez , Eneko Osaba , Javier Poyatos , Siham Tabik , Daniel Molina , Francisco Herrera

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

Lack of data on which to perform experimentation is a recurring issue in many areas of research, particularly in machine learning. The inability of most automated data mining techniques to be generalized to all types of data is inherently…

Machine Learning · Computer Science 2024-10-17 Gustavo Assunção , Paulo Menezes

Multi-mode resource and precedence-constrained project scheduling is a well-known challenging real-world optimisation problem. An important variant of the problem requires scheduling of activities for multiple projects considering…

Data Structures and Algorithms · Computer Science 2016-09-09 Shahriar Asta , Daniel Karapetyan , Ahmed Kheiri , Ender Özcan , Andrew J. Parkes

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there often exist iterative algorithms that impose very little…

Optimization and Control · Mathematics 2010-09-28 Y. Censor , R. Davidi , G. T. Herman

We present a powerful general framework for designing data-dependent optimization algorithms, building upon and unifying recent techniques in adaptive regularization, optimistic gradient predictions, and problem-dependent randomization. We…

Machine Learning · Statistics 2015-10-14 Mehryar Mohri , Scott Yang

Manifold optimization is ubiquitous in computational and applied mathematics, statistics, engineering, machine learning, physics, chemistry and etc. One of the main challenges usually is the non-convexity of the manifold constraints. By…

Optimization and Control · Mathematics 2019-06-14 Jiang Hu , Xin Liu , Zaiwen Wen , Yaxiang Yuan

We explore a new general-purpose heuristic for finding high-quality solutions to hard optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent…

Statistical Mechanics · Physics 2009-10-31 S. Boettcher , A. G. Percus

Operational maturity of biological control systems have fuelled the inspiration for a large number of mathematical and logical models for control, automation and optimisation. The human brain represents the most sophisticated control…

Neural and Evolutionary Computing · Computer Science 2017-09-13 Shubham Dokania , Ayush Chopra , Feroz Ahmad , Anil Singh Parihar

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Models involving hybrid systems are versatile in their application but difficult to optimize efficiently due to their combinatorial nature. This work presents a method to cope with hybrid optimal control problems which, in contrast to…

Optimization and Control · Mathematics 2025-05-20 Viktoriya Nikitina , Alberto De Marchi , Matthias Gerdts

Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regularization methods including variational and iterative…

Numerical Analysis · Mathematics 2023-10-17 Aviv Gibali , Markus Haltmeier

Optimization problems are crucial in artificial intelligence. Optimization algorithms are generally used to adjust the performance of artificial intelligence models to minimize the error of mapping inputs to outputs. Current evaluation…

Artificial Intelligence · Computer Science 2021-11-23 Zhicheng He

In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

This paper provides experimental experiences on two local search hybridized genetic algorithms in solving the uncapacitated examination timetabling problem. The proposed two hybrid algorithms use partition and priority based solution…

Neural and Evolutionary Computing · Computer Science 2023-06-02 Ayse Aslan

As global attention on renewable and clean energy grows, the research and implementation of microgrids become paramount. This paper delves into the methodology of exploring the relationship between the operational and environmental costs of…

Artificial Intelligence · Computer Science 2023-10-04 Hongyi Duan , Qingyang Li , Yuchen Li , Jianan Zhang , Yuming Xie
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