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Mathematical optimization in classification and regression trees [PDF]
TOP, 2021 AbstractClassification and regression trees, as well as their variants, are off-the-shelf methods in Machine Learning. In this paper, we review recent contributions within the Continuous Optimization and the Mixed-Integer Linear Optimization paradigms to develop novel formulations in this research area.
Carrizosa, Emilio +2 more
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Optim: A mathematical optimization package for Julia
Journal of Open Source Software, 2018 Optim provides a range of optimization capabilities written in the Julia programming language (Bezanson et al. 2017). Our aim is to enable researchers, users, and other Julia packages to solve optimization problems without writing such algorithms themselves.
Patrick K Mogensen, Asbjørn N Riseth
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A Mathematical Model for Agroforestry Optimization
WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL, 2022 In the present article, we will describe some extensions of an agroforestry model that has been proposed and computationally implemented in [7]. Our generalizations consist of the inclusion of two additional species of tree, one culture, and a declaration of regeneration tours as variables definable by us as a parameter and the weight allocation by ...
Rodríguez Lucatero, Carlos +2 more
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Mathematical Optimization of Treatment Schedules [PDF]
International Journal of Radiation Oncology*Biology*Physics, 2016 In the past decades mathematical optimization has found its way into radiation therapy and has made profound practice changing impact. Today, virtually all advanced treatment delivery methods, such as IMRT, VMAT, tomotherapy, LDR/HDR brachytherapy, proton therapy, are based on some form of optimization approach that changes the treatment variables ...
Bram L. Gorissen +2 more
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Supervised classification and mathematical optimization [PDF]
Computers & Operations Research, 2013 Data Mining techniques often ask for the resolution of optimization problems. Supervised Classification, and, in particular, Support Vector Machines, can be seen as a paradigmatic instance. In this paper, some links between Mathematical Optimization methods and Supervised Classification are emphasized.
Carrizosa Priego, Emilio José +1 more
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Codon optimization: a mathematical programing approach [PDF]
Bioinformatics, 2020 Abstract Motivation Synthesizing proteins in heterologous hosts is an important tool in biotechnology. However, the genetic code is degenerate and the codon usage is biased in many organisms. Synonymous codon changes that are customized for each host organism may have a significant effect on the level
Sen, Alper +3 more
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Optimization of structural similarity in mathematical imaging [PDF]
Optimization and Engineering, 2020 It is now generally accepted that Euclidean-based metrics may not always adequately represent the subjective judgement of a human observer. As a result, many image processing methodologies have been recently extended to take advantage of alternative visual quality measures, the most prominent of which is the Structural Similarity Index Measure (SSIM ...
Otero D. +3 more
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Mathematics for optimal design of sustainable infrastructures
Euro-Mediterranean Journal for Environmental Integration, 2023 AbstractThe central aim of this paper is to show that mathematical sciences—in particular a smart combination of modeling, numerical simulation and optimization—can be seen as a useful tool in the design of sustainable infrastructures. Thus, in the first part of this work, we clarify what we mean by systems optimization and suggest how to apply these ...
M.E. Vázquez-Méndez +4 more
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Mathematical Methods of Optimization
Chemical engineering, 1964 最適化の三方法すなわち線形計画法 (linear programming, LP), 動的計画法 (dynamic programming, DP), 最大原理 (maximum principle, MP) の基本的原理について図解例と計算例をあげ解説する。
V. C. M. Yeh, R. S. Davis
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The mathematics of eigenvalue optimization [PDF]
Mathematical Programming, 2003 Optimization problems involving the eigenvalues of symmetric and nonsymmetric matrices present a fascinating mathematical challenge. Such problems arise often in theory and practice, particularly in engineering design, and are amenable to a rich blend of classical mathematical techniques and contemporary optimization theory.
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