Clément Hongler

Contact information


The asymptotic spectrum of the Hessian of DNN throughout training, Arthur Jacot, Franck Gabriel, Clément Hongler. [arXiv link]

Freeze and chaos for dnns: an NTK view of batch normalization, checkerboard and boundary effects, Arthur Jacot, Franck Gabriel, Clément Hongler. [arXiv link]

Magnetization in the zig-zag layered Ising model and orthogonal polynomials (with Dmitry Chelkak and Rémy Mahfouf). [arXiv link]

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). [arXiv link]

Neural Tangent Kernel: Convergence and Generalization in Neural Networks, Arhur Jacot-Guillarmod, Franck Gabriel, Clément Hongler. Proceedings of Neural Information Processing Systems 2018. [conference paper (8-page version)] [3-minute video] [spotlight slides] [spotlight video], [arXiv link (full version)]

Conformal Field Theory at the Lattice Level: Discrete Holomorphicity and Virasoro Structures (with Fredrik Johansson Viklund and Kalle Kytölä). [arXiv link]

The scaling limit of critical Ising interfaces is CLE(3) (with Stéphane Benoist), Annals of Probability, July 2019. [arXiv link], [journal link]

Ising Model: Local Spin Correlations and Conformal Invariance (with Reza Gheissari and Sungchul Park), Comm. Math. Phys., May 2019. [arXiv link] [journal link]

Conformal invariance of crossing probabilities for the Ising model with free boundary conditions (with Stéphane Benoist and Hugo Duminil-Copin, Annales de l'Inst. H. Poincaré, 2016. [arXiv link]

Crossing probabilities in topological rectangles for the critical planar FK-Ising model (with Dmitry Chelkak and Hugo Duminil-Copin), Elec. J. of Prob., January 2016. [journal link]

Conformal Invariance of Spin Correlations in the Planar Ising Model (with Dmitry Chelkak and Konstantin Izyurov) Annals of Math., May 2015. [journal link]

Convergence of Ising interfaces to Schramm's SLE curves, (with Dmitry Chelkak, Hugo Duminil-Copin, Antti Kemppainen, Stanislav Smirnov), C. R. Acad. Sci. Paris, January 2014. [journal link]

Discrete holomorphicity and Ising model operator formalism (with Kalle Kytölä and Ali Zahabi) Contemporary Mathematics Series of the AMS, 2015. [volume link]

Conformal Invariance of Ising Model Correlations, ICMP 2012 proceedings, World Scientific, October 2013. [volume link]

The energy density in the planar Ising model (with Stanislav Smirnov), Acta Math., December 2013. [journal link ]

Ising interfaces and free boundary conditions (with Kalle Kytölä), J. of the Amer. Math. Soc., October 2013. [link]

Hardy Spaces and Boundary Conditions from the Ising Model (with Duong H. Phong), Math. Zeit., June 2013. [journal link]

Connection probabilities and RSW-type bounds for the FK Ising model (with Hugo Duminil-Copin and Pierre Nolin), Comm. Pure and Appl. Math., September 2011. [journal link]

Critical percolation: the expected number of clusters in a rectangle (with Stanislav Smirnov), Prob. Th. and Rel. Fields, November 2011. [journal link]

Conformal invariance of Ising model correlations, Ph.D. thesis, Université de Genève, July 2010. [link]