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Shape and topological derivatives as Hadamard semidifferentials Cover

Shape and topological derivatives as Hadamard semidifferentials

Control and Cybernetics
Volume 53 (2024): Issue 1 (March 2024)
By: Michel C. Delfour  
Open Access
|Jan 2025

Authors

Michel C. Delfour

michel.delfour@umontreal.ca

Centre de recherches mathématiques and Département de mathématiques et de statistique, Université de Montréal, Montreal, Canada
DOI: https://doi.org/10.2478/candc-2024-0004 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569
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Language: English
Page range: 43 - 75
Submitted on: Mar 1, 2024
Accepted on: Jul 1, 2024
Published on: Jan 17, 2025
Published by: Systems Research Institute Polish Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Hadamard semidifferential,
adjacent tangent cone,
shape derivative,
topological derivative,
matrix group,
diffeomorphism group,
characteristic function group,
automatic differentiation,
deep learning
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Electrical engineering,
Fundamentals of electrical engineering,
Mechanical engineering,
Fundamentals of mechanical engineering,
Mathematics,
General mathematics

© 2025 Michel C. Delfour, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 53 (2024): Issue 1 (March 2024)