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When some parameters of a constrained optimization problem (COP) are uncertain, this gives rise to a predict-then-optimize (PtO) problem, comprising two stages: the prediction of the unknown parameters from contextual information and the…

Machine Learning · Computer Science 2025-10-28 Jayanta Mandi , Marianne Defresne , Senne Berden , Tias Guns

Local search is a powerful heuristic in optimization and computer science, the complexity of which was studied in the white box and black box models. In the black box model, we are given a graph $G = (V,E)$ and oracle access to a function…

Computational Complexity · Computer Science 2023-08-16 Simina Brânzei , Davin Choo , Nicholas Recker

Heuristic forward search is currently the dominant paradigm in classical planning. Forward search algorithms typically rely on a single, relatively simple variation of best-first search and remain fixed throughout the process of solving a…

Artificial Intelligence · Computer Science 2019-11-28 Pawel Gomoluch , Dalal Alrajeh , Alessandra Russo , Antonio Bucchiarone

Optimization algorithms are widely employed to tackle complex problems, but designing them manually is often labor-intensive and requires significant expertise. Global placement is a fundamental step in electronic design automation (EDA).…

Neural and Evolutionary Computing · Computer Science 2025-04-28 Xufeng Yao , Jiaxi Jiang , Yuxuan Zhao , Peiyu Liao , Yibo Lin , Bei Yu

We study variants of the Optimal Refugee Resettlement problem where a set $F$ of refugee families need to be allocated to a set $L$ of possible places of resettlement in a feasible and optimal way. Feasibility issues emerge from the…

Computer Science and Game Theory · Computer Science 2024-08-19 Jiehua Chen , Ildikó Schlotter , Sofia Simola

This paper presents a novel Differential Evolution algorithm for protein folding optimization that is applied to a three-dimensional AB off-lattice model. The proposed algorithm includes two new mechanisms. A local search is used to improve…

Artificial Intelligence · Computer Science 2018-05-08 Borko Bošković , Janez Brest

Machine Learning algorithms have been extensively researched throughout the last decade, leading to unprecedented advances in a broad range of applications, such as image classification and reconstruction, object recognition, and text…

Artificial Intelligence · Computer Science 2022-12-20 Gustavo H. de Rosa , Mateus Roder , João Paulo Papa , Claudio F. G. dos Santos

The local search framework for obtaining PTASs for NP-hard geometric optimization problems was introduced, independently, by Chan and Har-Peled (2009) and Mustafa and Ray (2010). In this paper, we generalize the framework by extending its…

Computational Geometry · Computer Science 2012-09-25 Rom Aschner , Matthew J. Katz , Gila Morgenstern , Yelena Yuditsky

In this paper, we consider a class of constrained clustering problems of points in $\mathbb{R}^{d}$, where $d$ could be rather high. A common feature of these problems is that their optimal clusterings no longer have the locality property…

Computational Geometry · Computer Science 2018-10-03 Hu Ding , Jinhui Xu

Integer Linear Programming (ILP) can be seen as the archetypical problem for NP-complete optimization problems, and a wide range of problems in artificial intelligence are solved in practice via a translation to ILP. Despite its huge range…

Data Structures and Algorithms · Computer Science 2018-09-05 Robert Ganian , Sebastian Ordyniak

This is a survey of "Iterated Local Search", a general purpose metaheuristic for finding good solutions of combinatorial optimization problems. It is based on building a sequence of (locally optimal) solutions by: (1) perturbing the current…

Optimization and Control · Mathematics 2007-05-23 H. R. Lourenco , O. C. Martin , T. Stutzle

We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each…

Data Structures and Algorithms · Computer Science 2013-01-21 Sara Ahmadian , Zachary Friggstad , Chaitanya Swamy

Searching large and complex design spaces for a global optimum can be infeasible and unnecessary. A practical alternative is to iteratively refine the neighborhood of an initial design using local optimization methods such as gradient…

Machine Learning · Computer Science 2025-11-25 David Stenger , Armin Lindicke , Alexander von Rohr , Sebastian Trimpe

We propose a framework for modeling and solving low-rank optimization problems to certifiable optimality. We introduce symmetric projection matrices that satisfy $Y^2=Y$, the matrix analog of binary variables that satisfy $z^2=z$, to model…

Optimization and Control · Mathematics 2021-12-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

Composite minimization is a powerful framework in large-scale convex optimization, based on decoupling of the objective function into terms with structurally different properties and allowing for more flexible algorithmic design. We…

Optimization and Control · Mathematics 2023-02-17 Jelena Diakonikolas , Cristóbal Guzmán

\kmeans clustering is a fundamental problem in many scientific and engineering domains. The optimization problem associated with \kmeans clustering is nonconvex, for which standard algorithms are only guaranteed to find a local optimum.…

Machine Learning · Computer Science 2025-10-24 Jiazhen Hong , Wei Qian , Yudong Chen , Yuqian Zhang

We introduce an evolutionary stochastic-local-search (SLS) algorithm for addressing a generalized version of the so-called 1/V/D/R cutting-stock problem. Cutting-stock problems are encountered often in industrial environments and the…

Neural and Evolutionary Computing · Computer Science 2017-07-28 Georgios C. Chasparis , Michael Rossbory , Verena Haunschmid

This paper proposes a push and pull search (PPS) framework for solving constrained multi-objective optimization problems (CMOPs). To be more specific, the proposed PPS divides the search process into two different stages, including the push…

Neural and Evolutionary Computing · Computer Science 2017-09-19 Zhun Fan , Wenji Li , Xinye Cai , Hui Li , Caimin Wei , Qingfu Zhang , Kalyanmoy Deb , Erik D. Goodman

An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

Optimization and Control · Mathematics 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang
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