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Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces

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Main Author: Ramon, Carbó-Dorca
Format: Book
Language:English
Published: Springer 2023
Subjects:
Minkowskian–Banach spaces
QSPR algorithm
Online Access:https://link.springer.com/article/10.1007/s10910-023-01454-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8166
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spelling oai:localhost:PNK-81662023-04-20T08:49:31Z Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces Ramon, Carbó-Dorca Minkowskian–Banach spaces QSPR algorithm CC BY This paper describes first how Euclidian- and Minkowskian–Banach spaces are related via the definition of a metric or signature vector. Also, it is discussed later on how these spaces can be generated using homothecies of the unit sphere or shell. Such possibility allows for proposing a process aiming at the dimension condensation in such spaces. The condensation of dimensions permits the account of the incompleteness of classical QSPR procedures, independently of whether the algorithm used is statistical bound or AI-neural network related. Next, a quantum QSPR framework within Minkowskian vector spaces is discussed. Then, a well-defined set of general isometric vectors is proposed, and connected to the set of molecular density functions generating the quantum similarity metric matrix. A convenient quantum QSPR algorithm emerges from this Minkowskian mathematical structure and isometry. 2023-04-20T08:49:31Z 2023-04-20T08:49:31Z 2023 Book https://link.springer.com/article/10.1007/s10910-023-01454-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/8166 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Minkowskian–Banach spaces
QSPR algorithm
spellingShingle Minkowskian–Banach spaces
QSPR algorithm
Ramon, Carbó-Dorca
Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
description CC BY
format Book
author Ramon, Carbó-Dorca
author_facet Ramon, Carbó-Dorca
author_sort Ramon, Carbó-Dorca
title Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
title_short Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
title_full Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
title_fullStr Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
title_full_unstemmed Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
title_sort quantum similarity and qspr in euclidean-, and minkowskian–banach spaces
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10910-023-01454-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8166
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score 8.891053

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