Clément Hongler

Contact information

Papers

Kernel Alignment Risk Estimator: Risk Prediction from Training Data, Arthur Jacot, Berfin Simsek, Francesco Spadaro, Clément Hongler, Franck Gabriel. [arXiv link]

Implicit regularization of Random Feature Models, Arthur Jacot, Berfin Simsek, Francesco Spadaro, Clément Hongler, Franck Gabriel, International Conference on Machine Learning 2020. [arXiv link]

The asymptotic spectrum of the Hessian of DNN throughout training, Arthur Jacot, Franck Gabriel, Clément Hongler. International Conference on Learning Representations 2020. [Conference Paper] [arXiv link]

Order and Chaos: NTK views on DNN Normalization, Checkerboard and Boundary Artifacts, Arthur Jacot, Franck Gabriel, François Ged, 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), Journal of Statistical Mechanics: Theory and Experiment, Volume 2020, February 2020. [Journal link] [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]