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We present an algorithm for the optimization of a class of finite element integration loop nests. This algorithm, which exploits fundamental mathematical properties of finite element operators, is proven to achieve a locally optimal…

Mathematical Software · Computer Science 2017-05-11 Fabio Luporini , David A. Ham , Paul H. J. Kelly

We consider linear problems in the worst case setting. That is, given a linear operator and a pool of admissible linear measurements, we want to approximate the values of the operator uniformly on a convex and balanced set by means of…

Numerical Analysis · Mathematics 2024-03-05 David Krieg , Peter Kritzer

In this paper, we consider the problem of compressed sensing where the goal is to recover almost all the sparse vectors using a small number of fixed linear measurements. For this problem, we propose a novel partial hard-thresholding…

Information Theory · Computer Science 2011-06-15 Prateek Jain , Ambuj Tewari , Inderjit S. Dhillon

Conjugated organic molecules represent an important area of materials chemistry for both fundamental scientific exploration and technological applications. Using a genetic algorithm to computationally screen up to ~25-50 million molecules…

Applied Physics · Physics 2017-07-14 Ilana Y. Kanal , Geoffrey R. Hutchison

Optimization problems over permutation matrices appear widely in facility layout, chip design, scheduling, pattern recognition, computer vision, graph matching, etc. Since this problem is NP-hard due to the combinatorial nature of…

Optimization and Control · Mathematics 2016-09-01 Bo Jiang , Ya-Feng Liu , Zaiwen Wen

Optimal subset selection is an important task that has numerous algorithms designed for it and has many application areas. STPGA contains a special genetic algorithm supplemented with a tabu memory property (that keeps track of previously…

Methodology · Statistics 2017-02-28 Deniz Akdemir

This paper introduces a reinforcement learning (RL) approach to address the challenges associated with configuring and optimizing genetic algorithms (GAs) for solving difficult combinatorial or non-linear problems. The proposed RL+GA method…

Allocating of people in multiple projects is an important issue considering the efficiency of groups from the point of view of social interaction. In this paper, based on previous works, the Multiple Team Formation Problem (MTFP) based on…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Jose G. M. Esgario , Iago E. da Silva , Renato A. Krohling

Generating diverse populations of high quality solutions has gained interest as a promising extension to the traditional optimization tasks. This work contributes to this line of research with an investigation on evolutionary diversity…

Neural and Evolutionary Computing · Computer Science 2022-11-01 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

An efficient team is essential for the company to successfully complete new projects. To solve the team formation problem considering person-job matching (TFP-PJM), a 0-1 integer programming model is constructed, which considers both…

Neural and Evolutionary Computing · Computer Science 2023-04-11 Yangyang Guo , Hao Wang , Lei He , Witold Pedrycz , P. N. Suganthan , Yanjie Song

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

Optimization and Control · Mathematics 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

Perfect sorting by reversals, a problem originating in computational genomics, is the process of sorting a signed permutation to either the identity or to the reversed identity permutation, by a sequence of reversals that do not break any…

Discrete Mathematics · Computer Science 2012-01-05 Mathilde Bouvel , Cedric Chauve , Marni Mishna , Dominique Rossin

We formalize the problem of selecting the optimal set of options for planning as that of computing the smallest set of options so that planning converges in less than a given maximum of value-iteration passes. We first show that the problem…

Artificial Intelligence · Computer Science 2019-03-19 Yuu Jinnai , David Abel , D Ellis Hershkowitz , Michael Littman , George Konidaris

We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare. One of our key results is a general polynomial-time algorithm…

Computer Science and Game Theory · Computer Science 2011-06-21 Haris Aziz , Bart de Keijzer

Our goal in this paper is to automatically extract a set of decision rules (rule set) that best explains a classification data set. First, a large set of decision rules is extracted from a set of decision trees trained on the data set. The…

Neural and Evolutionary Computing · Computer Science 2022-09-19 Paul-Amaury Matt , Rosina Ziegler , Danilo Brajovic , Marco Roth , Marco F. Huber

Optimisation problems are ubiquitous in particle and astrophysics, and involve locating the optimum of a complicated function of many parameters that may be computationally expensive to evaluate. We describe a number of global optimisation…

In this paper we present an evolutionary optimization approach to solve the risk parity portfolio selection problem. While there exist convex optimization approaches to solve this problem when long-only portfolios are considered, the…

Portfolio Management · Quantitative Finance 2015-04-14 Ronald Hochreiter

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

Although real-coded differential evolution (DE) algorithms can perform well on continuous optimization problems (CoOPs), it is still a challenging task to design an efficient binary-coded DE algorithm. Inspired by the learning mechanism of…

Neural and Evolutionary Computing · Computer Science 2014-05-13 Yu Chen , Weicheng Xie , Xiufen Zou

The 0/1 knapsack problem is weakly NP-hard in that there exist pseudo-polynomial time algorithms based on dynamic programming that can solve it exactly. There are also the core branch and bound algorithms that can solve large randomly…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Shalin Shah
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