Clément Hongler

Contact information


Scaling description of generalization with number of parameters in deep learning (M. Geiger, A. Jacot, S. Spigler, F. Gabriel, L. Sagun, S. d'Ascoli, G. Biroli, C. Hongler, M. Wyart). [arXiv link]

Neural Tangent Kernel: Convergence and Generalization in Neural Networks (A. Jacot, F. Gabriel, C. 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 F. Johansson Viklund and K. Kytölä). [arXiv link]

The scaling limit of critical Ising interfaces is CLE(3) (with S. Benoist), to appear in Annals of Prob. [arXiv link]

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

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

Crossing probabilities in topological rectangles for the critical planar FK-Ising model (with D. Chelkak and H. 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 D. Chelkak, H. Duminil-Copin, A. Kemppainen, S. Smirnov), C. R. Acad. Sci. Paris, January 2014. [journal link]

Discrete holomorphicity and Ising model operator formalism (with K. Kytölä and A. 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 S. Smirnov), Acta Math., December 2013. [journal link ]

Ising interfaces and free boundary conditions (with K. 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 H. Duminil-Copin and P. Nolin), Comm. Pure and Appl. Math., September 2011. [journal link]

Critical percolation: the expected number of clusters in a rectangle (with S. 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]