Mathematical optimization in classification and regression trees. [PDF]
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 E+2 more
europepmc +7 more sources
Rigorous mathematical optimization of synthetic hepatic vascular trees. [PDF]
In this paper, we introduce a new framework for generating synthetic vascular trees, based on rigorous model-based mathematical optimization. Our main contribution is the reformulation of finding the optimal global tree geometry into a nonlinear ...
Jessen E+3 more
europepmc +3 more sources
Optim: A mathematical optimization package for Julia
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
openaire +3 more sources
Achieving Healthy and Sustainable Diets: A Review of the Results of Recent Mathematical Optimization Studies. [PDF]
Climate protection and other environmental concerns render it critical that diets and agriculture systems become more sustainable. Mathematical optimization techniques can assist in identifying dietary patterns that both improve nutrition and reduce ...
Wilson N+4 more
europepmc +2 more sources
Mathematical Optimization to Explore Tomorrow's Sustainable Diets: A Narrative Review. [PDF]
A sustainable diet is, by definition, nutritionally adequate, economically affordable, culturally acceptable, and environmentally respectful. Designing such a diet has to integrate different dimensions of diet sustainability that may not be compatible ...
Gazan R+5 more
europepmc +2 more sources
Robot Dance: A mathematical optimization platform for intervention against COVID-19 in a complex network [PDF]
Nonato L+4 more
europepmc +2 more sources
Mathematical optimization in deep learning [PDF]
Mathematical Optimization plays a pillar role in Machine Learning (ML) and Neural Networks (NN) are amongst the most popular and effective ML architectures and are the subject of a very intense investigation. They have also been proven immensely powerful
Ramírez Ayerbe, Miren Jasone
core +2 more sources
Inverse procedure for measuring piezoelectric material parameters using a single multi-electrode sample [PDF]
An inverse measurement procedure for the determination of a full set of piezoelectric material parameters using a single sample is presented. The basis for the measurement procedure is a measurement of the frequency-dependent impedance of the sample.
L. Claes+7 more
doaj +1 more source
Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation [PDF]
This study aims to present an accelerated derivative-free method for solving systems of nonlinear equations using a double direction approach. The approach approximates the Jacobian using a suitably formed diag-onal matrix by applying the acceleration ...
A.I. Kiri, M.Y. Waziri, A.S. Halilu
doaj +1 more source
New Heuristic Local Search Method for University Course Timetabling [PDF]
Purpose: This paper presents a new two-phase method for solving the curriculum-based university course timetabling problem. A new metaheuristic approach is used in both phases of the new present method.Methodology: A feasible, high-quality solution is ...
Mohammad Sadegh Shiri+2 more
doaj +1 more source