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Low Autocorrelation Binary Sequences (LABS) is a particularly challenging binary optimization problem which quickly becomes intractable in finding the global optimum for problem sizes beyond 66. This aspect makes LABS appealing to use as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-18 Zhiwei Zhang , Jiayu Shen , Niraj Kumar , Marco Pistoia

In this paper, we propose an iterative algorithm using polar decomposition to approximate a channel characterized by a single unitary matrix based on input-output quantum state pairs. In limited data, we state and prove that the optimal…

Numerical Analysis · Mathematics 2025-06-27 Matthew M. Lin , Hao-Wei Huang , Bing-Ze Lu

Knapsack problems are classic models that can formulate a wide range of applications. In this work, we deal with the Budgeted Maximum Coverage Problem (BMCP), which is a generalized 0-1 knapsack problem. Given a set of items with…

Artificial Intelligence · Computer Science 2020-07-14 Liwen Li , Zequn Wei , Jin-Kao Hao , Kun He

In this paper, a sequential adaptive regularization algorithm using cubics (ARC) is presented to solve nonlinear equality constrained optimization. It is motivated by the idea of handling constraints in sequential quadratic programming…

Optimization and Control · Mathematics 2025-05-13 Yonggang Pei , Jingyi Wang , Shaofang Song , Qinghui Gao , Detong Zhu

We present computational results with a heuristic algorithm for the parallel machines total weighted tardiness problem. The algorithm combines generalized pairwise interchange neighborhoods, dynasearch optimization and a new machine-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-08 F Croce , Thierry Garaix , A. Grosso

Applying local search algorithms to combinatorial optimization problems is not an easy feat. Typically, human intervention is required to compile the constraints to input data for some metaheuristic algorithm. In this paper, we establish a…

Artificial Intelligence · Computer Science 2026-05-20 Jo Devriendt , Patrick De Causmaecker , Marc Denecker

In this paper, we propose an infeasible arc-search interior-point algorithm for solving nonlinear programming problems. Most algorithms based on interior-point methods are categorized as line search, since they compute a next iterate on a…

Optimization and Control · Mathematics 2020-10-29 Einosuke Iida , Yaguang Yang , Makoto Yamashita

In this work, we present a new iterative exact solution algorithm for the weighted fair sequences problem, which is a recently introduced NP-hard sequencing problem with applications in diverse areas such as TV advertisement scheduling,…

Optimization and Control · Mathematics 2021-08-09 Markus Sinnl

Hough transform (HT) has been the most common method for circle detection, exhibiting robustness, but adversely demanding considerable computational effort and large memory requirements. Alternative approaches include heuristic methods that…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Erik Cuevas , Felipe Sencion-Echauri , Daniel Zaldivar , Marco Perez Cisneros

We give an asymptotic approximation scheme (APTAS) for the problem of packing a set of circles into a minimum number of unit square bins. To obtain rational solutions, we use augmented bins of height $1+\gamma$, for some arbitrarily small…

Data Structures and Algorithms · Computer Science 2014-12-16 Flávio K. Miyazawa , Lehilton L. C. Pedrosa , Rafael C. S. Schouery , Maxim Sviridenko , Yoshiko Wakabayashi

Circle packing is widely used in visualization due to its aesthetic appeal and simplicity, particularly in tasks where the spatial arrangement and relationships between data are of interest, such as understanding proximity relationships…

Human-Computer Interaction · Computer Science 2026-02-03 Duan Li , Jun Yuan , Xinyuan Guo , Xiting Wang , Yang Liu , Weikai Yang , Shixia Liu

Quantum Computing is an emerging paradigm which is gathering a lot of popularity in the current scientific and technological community. Widely conceived as the next frontier of computation, Quantum Computing is still at the dawn of its…

This paper describes an optimisation methodology that has been specifically developed for engineering design problems. The methodology is based on a Tabu search (TS) algorithm that has been shown to find high quality solutions with a…

Optimization and Control · Mathematics 2016-06-21 Andy M. Connor , P. John Clarkson , Shahrokh Shahpar , Paul Leonard

The unrestricted block relocation problem is an important optimization problem encountered at terminals, where containers are stored in stacks. It consists in determining the minimum number of container moves so as to empty the considered…

Discrete Mathematics · Computer Science 2019-09-13 Dominique Feillet , Sophie N. Parragh , Fabien Tricoire

This paper presents a method to solve non-linear integer multiobjective optimization problems. First the problem is formulated using the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Next, the Differential…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Renato A. Krohling , Erick R. F. A. Schneider

We introduce pattern injection local search (PILS), an optimization strategy that uses pattern mining to explore high-order local-search neighborhoods, and illustrate its application on the vehicle routing problem. PILS operates by storing…

Artificial Intelligence · Computer Science 2019-12-25 Florian Arnold , Ítalo Santana , Kenneth Sörensen , Thibaut Vidal

Simulation optimization (SO) is frequently challenged by noisy evaluations, high computational costs, and complex, multimodal search landscapes. This paper introduces Tabu-Enhanced Simulation Optimization (TESO), a novel metaheuristic…

Neural and Evolutionary Computing · Computer Science 2026-01-01 Bulent Soykan , Sean Mondesire , Ghaith Rabadi

The traditional way of tackling discrete optimization problems is by using local search on suitably defined cost or fitness landscapes. Such approaches are however limited by the slowing down that occurs when the local minima that are a…

Disordered Systems and Neural Networks · Physics 2018-06-15 Konstantin Klemm , Anita Mehta , Peter F. Stadler

Quantum computers are different from binary digital electronic computers based on transistors. Common digital computing encodes the data into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum…

Emerging Technologies · Computer Science 2018-08-28 Carla Silva , Inês Dutra , Marcus S. Dahlem

In subspace clustering, a group of data points belonging to a union of subspaces are assigned membership to their respective subspaces. This paper presents a new approach dubbed Innovation Pursuit (iPursuit) to the problem of subspace…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Mostafa Rahmani , George Atia