Mathematical optimization in classification and regression trees. [PDF]
Top (Berl), 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 E +2 more
europepmc +6 more sources
Mathematical optimization in deep learning [PDF]
, 2019 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
Mathematical challenges in shape optimization
, 2005 International ...
Antoine Henrot, Jan Sokołowski
openalex +4 more sources
Inverse procedure for measuring piezoelectric material parameters using a single multi-electrode sample [PDF]
Journal of Sensors and Sensor Systems, 2023 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]
Iranian Journal of Numerical Analysis and Optimization, 2022 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]
مدیریت نوآوری و راهبردهای عملیاتی, 2023 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
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Development of Stochastic Mathematical Models for the Prediction of Heavy Metal Content in Surface Waters Using Artificial Neural Network and Multiple Linear Regression [PDF]
E3S Web of Conferences, 2021 The principal purpose of this study is to build stochastic neuronal models, for the prediction of heavy metal, contents in the surface waters of the Oued Inaouen catchment area of the TAZA region, according to their Physico-chemical parameters; we have ...
El Chaal Rachid +1 more
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Adaptive Cut Selection in Mixed-Integer Linear Programming
Open Journal of Mathematical Optimization, 2023 Cutting plane selection is a subroutine used in all modern mixed-integer linear programming solvers with the goal of selecting a subset of generated cuts that induce optimal solver performance.
Turner, Mark +3 more
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A new iteration method for solving space fractional coupled nonlinear Schrödinger equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 A linearly implicit difference scheme for the space fractional coupled nonlinear Schrödinger equation is proposed. The resulting coefficient matrix of the discretized linear system consists of the sum of a complex scaled identity and a symmetric positive ...
H. Aslani +2 more
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Optimal Sparse Control Formulation for Reconstruction of Noise-Affected Images
Axioms, 2023 We discuss the optimal control formulation for enhancement and denoising of satellite multiband images and propose to take it in the form of an L1 control problem for a quasi-linear parabolic equation with a nonlocal p[u] Laplacian and with a cost ...
Peter Kogut, Yaroslav Kohut
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