Deep Neural Networks as the Semi-classical Limit of Quantum Neural Networks
Disordered Systems and Neural Networks
2021-08-13 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.2007.00142,
title = {Deep Neural Networks as the Semi-classical Limit of Quantum Neural Networks},
author = {Antonino Marciano and Deen Chen and Filippo Fabrocini* and Chris Fields and Enrico Greco* and Niels Gresnigt and Krid Jinklub and Matteo Lulli and Kostas Terzidis and Emanuele Zappala},
journal= {arXiv preprint arXiv:2007.00142},
year = {2021}
}
Comments
25 pages, 10 figures