Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces
CC BY
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Định dạng: | Sách |
Ngôn ngữ: | English |
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10910-023-01454-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/8166 |
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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 |
_version_ |
1763724455840841728 |
score |
8.88091 |