C
Clément Hongler
Researcher at École Polytechnique Fédérale de Lausanne
Publications - 50
Citations - 3678
Clément Hongler is an academic researcher from École Polytechnique Fédérale de Lausanne. The author has contributed to research in topics: Ising model & Conformal symmetry. The author has an hindex of 21, co-authored 48 publications receiving 2840 citations. Previous affiliations of Clément Hongler include University of Geneva & Columbia University.
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Proceedings Article
Neural Tangent Kernel: Convergence and Generalization in Neural Networks
TL;DR: This talk will introduce this formalism and give a number of results on the Neural Tangent Kernel and explain how they give us insight into the dynamics of neural networks during training and into their generalization features.
Journal ArticleDOI
Convergence of Ising Interfaces to Schramm"s SLE Curves
Dmitry Chelkak,Dmitry Chelkak,Hugo Duminil-Copin,Clément Hongler,Antti Kemppainen,Stanislav Smirnov,Stanislav Smirnov +6 more
TL;DR: In this paper, strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm's SLE curves with parameter κ = 3 and κ= 16 / 3 was shown.
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Conformal invariance of spin correlations in the planar Ising model
TL;DR: In this article, the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains were proved.
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Scaling description of generalization with number of parameters in deep learning
Mario Geiger,Arthur Jacot,Stefano Spigler,Franck Gabriel,Levent Sagun,Stéphane d'Ascoli,Giulio Biroli,Clément Hongler,Matthieu Wyart +8 more
TL;DR: In this article, the authors show that the initialization causes finite-size random fluctuations of the neural net output function f N around its expectation, which affect the generalization error for classification.
Posted Content
Convergence of Ising interfaces to Schramm's SLE curves
Dmitry Chelkak,Dmitry Chelkak,Hugo Duminil-Copin,Clément Hongler,Antti Kemppainen,Stanislav Smirnov,Stanislav Smirnov +6 more
TL;DR: In this article, the authors show how to combine their earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm's SLE curves.