Pour vous authentifier, privilégiez eduGAIN / To authenticate, prefer eduGAINeu

19–29 avr. 2022
Institut Pascal
Fuseau horaire Europe/Paris

Deep Multi-task Mining Calabi-Yau Manifolds

27 avr. 2022, 15:15
15m
Institut Pascal

Institut Pascal

Orateur

Riccardo Finotello (CEA LIST, CEA ISAS)

Description

Computing topological properties of Calabi-Yau manifolds is a challenging mathematical task. Recent years have witnessed the rising use of deep learning as a method for exploration of large sets of data, to learn their patterns and properties. This is specifically interesting when it comes to unravel complicated geometrical structures, as well as in the development of trustworthy AI methods. Motivated by their distinguished role in string theory for the study of compactifications, we compute the Hodge numbers of Complete Intersection Calabi-Yau manifolds using deep neural networks. Specifically, we introduce a regression architecture, based on GoogleNet and multi-task learning, capable of mining information to produce highly accurate simultaneous predictions. This shows the potential of deep learning to learn from geometrical data, and it proves the versatility of architectures developed in different contexts.

Auteurs principaux

Riccardo Finotello (CEA LIST, CEA ISAS) Harold Erbin (MIT, IAIFI, CEA LIST) Robin Schneider (Uppsala University) Mohamed Tamaazousti (CEA LIST)

Documents de présentation