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The quadratic unconstrained binary optimization (QUBO) problem arises in diverse optimization applications ranging from Ising spin problems to classical problems in graph theory and binary discrete optimization. The use of preprocessing to…

Artificial Intelligence · Computer Science 2017-05-29 Fred Glover , Mark Lewis , Gary Kochenberger

Constrained maximization of submodular functions poses a central problem in combinatorial optimization. In many realistic scenarios, a number of agents need to maximize multiple submodular objectives over the same ground set. We study such…

Data Structures and Algorithms · Computer Science 2024-07-22 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Allocation of scarce resources is a recurring challenge for the public sector: something that emerges in areas as diverse as healthcare, disaster recovery, and social welfare. The complexity of these policy domains and the need for meeting…

Computers and Society · Computer Science 2023-10-11 Saba Esnaashari , Jonathan Bright , John Francis , Youmna Hashem , Vincent Straub , Deborah Morgan

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

The study proves the existence of an algorithm to receive all elements of a class of binary matrices without obtaining redundant elements, e. g. without obtaining binary matrices that do not belong to the class. This makes it possible to…

Data Structures and Algorithms · Computer Science 2013-12-03 Krasimir Yordzhev

Addressing biases in AI models is crucial for ensuring fair and accurate predictions. However, obtaining large, unbiased datasets for training can be challenging. This paper proposes a comprehensive approach using multiple methods to remove…

Machine Learning · Computer Science 2024-02-15 Ahmed Radwan , Layan Zaafarani , Jetana Abudawood , Faisal AlZahrani , Fares Fourati

Model-based sequential approaches to discrete "black-box" optimization, including Bayesian optimization techniques, often access the same points multiple times for a given objective function in interest, resulting in many steps to find the…

Machine Learning · Computer Science 2023-12-29 Keisuke Morita , Yoshihiko Nishikawa , Masayuki Ohzeki

Current state-of-the-art methods for solving discrete optimization problems are usually restricted to convex settings. In this paper, we propose a general approach based on cutting planes for solving nonlinear, possibly nonconvex, binary…

Optimization and Control · Mathematics 2022-03-21 Hoa T. Bui , Qun Lin , Ryan Loxton

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

In robust optimization, the uncertainty set is used to model all possible outcomes of uncertain parameters. In the classic setting, one assumes that this set is provided by the decision maker based on the data available to her. Only…

Optimization and Control · Mathematics 2019-01-23 Trivikram Dokka , Marc Goerigk , Rahul Roy

Analysis of the convergence rates of modern convex optimization algorithms can be achived through binary means: analysis of emperical convergence, or analysis of theoretical convergence. These two pathways of capturing information diverge…

Machine Learning · Computer Science 2013-05-20 Patrick Hop , Xinghao Pan

In this work we study preprocessing for tractable problems when part of the input is unknown or uncertain. This comes up naturally if, e.g., the load of some machines or the congestion of some roads is not known far enough in advance, or if…

Data Structures and Algorithms · Computer Science 2015-10-20 Stefan Fafianie , Stefan Kratsch , Voung Anh Quyen

Discussions of algorithmic bias tend to focus on examples where either the data or the people building the algorithms are biased. This gives the impression that clean data and good intentions could eliminate bias. The neutrality of the…

Computers and Society · Computer Science 2021-05-04 Catherine Stinson

Unrolled networks have become prevalent in various computer vision and imaging tasks. Although they have demonstrated remarkable efficacy in solving specific computer vision and computational imaging tasks, their adaptation to other…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Eric Chen , Xi Chen , Arian Maleki , Shirin Jalali

In the era of big data, one of the key challenges is the development of novel optimization algorithms that can accommodate vast amounts of data while at the same time satisfying constraints and limitations of the problem under study. The…

Optimization and Control · Mathematics 2019-09-27 Nicolas Loizou

In distributional or average-case analysis, the goal is to design an algorithm with good-on-average performance with respect to a specific probability distribution. Distributional analysis can be useful for the study of general-purpose…

Data Structures and Algorithms · Computer Science 2020-07-28 Tim Roughgarden

Crowdsourcing provides a popular paradigm for data collection at scale. We study the problem of selecting subsets of workers from a given worker pool to maximize the accuracy under a budget constraint. One natural question is whether we…

Machine Learning · Statistics 2015-02-04 Hongwei Li , Qiang Liu

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

Statistical Mechanics · Physics 2015-03-13 Fabrizio Altarelli , Alfredo Braunstein , Abolfazl Ramezanpour , Riccardo Zecchina
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