Deep Neural Networks as the Semi-classical Limit of Quantum Neural Networks

Our work intends to show that: (1) Quantum Neural Networks (QNN) can be mapped onto spinnetworks, with the consequence that the level of analysis of their operation can be carried out on the side of Topological Quantum Field Theories (TQFT); (2) Deep Neural Networks (DNN) are a subcase of QNN, in th...

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Authors: Marciano, Antonino, Chen, Deen, Filippo Fabrocini, Fields, Chris, Enrico Greco, Gresnigt, Niels, Jinklub, Krid, Lulli, Matteo, Terzidis, Kostas, Zappala, Emanuele
Format: Article
Language:English
Subjects:
Artificial neural networks
Machine learning
Neural networks
Quantum theory
Topology
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Summary:Our work intends to show that: (1) Quantum Neural Networks (QNN) can be mapped onto spinnetworks, with the consequence that the level of analysis of their operation can be carried out on the side of Topological Quantum Field Theories (TQFT); (2) Deep Neural Networks (DNN) are a subcase of QNN, in the sense that they emerge as the semiclassical limit of QNN; (3) A number of Machine Learning (ML) key-concepts can be rephrased by using the terminology of TQFT. Our framework provides as well a working hypothesis for understanding the generalization behavior of DNN, relating it to the topological features of the graphs structures involved.
ISSN:2331-8422