Clément Hongler

Contact information

Papers

Feature Learning in L2-regularized DNNs: Attraction/Repulsion and Sparsity, Arthur Jacot, Eugene Golikov, Clément Hongler, Franck Gabriel. [arXiv link]

Smart Proofs via Smart Contracts: Succinct and Informative Mathematical Derivations via Decentralized Markets, Sylvain Carré, Franck Gabriel, Clément Hongler, Gustavo Lacerda, Gloria Capano. [arXiv link]

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances, Berfin Simsek, François Ged, Arthur Jacot, Francesco Spadaro, Clément Hongler, Wulfram Gerstner, Johanni Brea, International Conference on Machine Learning 2021. [arXiv link]

Kernel Alignment Risk Estimator: Risk Prediction from Training Data, Arthur Jacot, Berfin Simsek, Francesco Spadaro, Clément Hongler, Franck Gabriel, Proceedings of Neural Information Processing Systems 2020. [Conference Paper] [arXiv link]

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

Freeze and Chaos: NTK views on DNN Normalization, Checkerboard and Boundary Artifacts, Arthur Jacot, Franck Gabriel, François Ged, Clément Hongler, Mathematical and Scientific Machine Learning 2022. [arXiv link]

Correlations of primary fields in the critical Ising model, Dmitry Chelkak, Clément Hongler, and Konstantin Izyurov. [arXiv link].

Magnetization in the zig-zag layered Ising model and orthogonal polynomials Dmitry Chelkak, Clément Hongler, 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, Arthur 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, Clément Hongler, Fredrik Johansson Viklund, Kalle Kytölä, Comm. Math. Phys., to appear. [arXiv link]

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

Ising Model: Local Spin Correlations and Conformal Invariance, Reza Gheissari, Clément Hongler, and Sungchul Park, Comm. Math. Phys., May 2019. [Journal link] [arXiv link]

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

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

Conformal Invariance of Spin Correlations in the Planar Ising Model, Dmitry Chelkak, Clément Hongler, and Konstantin Izyurov, Annals of Math., May 2015. [Journal link] [arXiv link]

Convergence of Ising interfaces to Schramm's SLE curves, Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler, Antti Kemppainen, and Stanislav Smirnov, C. R. Acad. Sci. Paris, January 2014. [Journal link] [arXiv link]

Discrete holomorphicity and Ising model operator formalism, Clément Hongler, Kalle Kytölä, and Ali Zahabi, Contemporary Mathematics Series of the AMS, 2015. [Volume link] [arXiv link]

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

The energy density in the planar Ising model, Clément Hongler and Stanislav Smirnov, Acta Math., December 2013. [Journal link ] [arXiv link]

Ising interfaces and free boundary conditions, Clément Hongler and Kalle Kytölä, J. of the Amer. Math. Soc., October 2013. [Journal link] [arXiv link]

Hardy Spaces and Boundary Conditions from the Ising Model Clément Hongler and Duong H. Phong, Math. Zeit., June 2013. [Journal link] [arXiv link]

Connection probabilities and RSW-type bounds for the FK Ising model, Hugo Duminil-Copin, Clément Hongler, and Pierre Nolin, Comm. Pure and Appl. Math., September 2011. [Journal link] [arXiv link]

Critical percolation: the expected number of clusters in a rectangle, Clément Hongler and Stanislav Smirnov), Prob. Th. and Rel. Fields, November 2011. [Journal link] [arXiv link]

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

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