Skip to content
Lattice Models and Field Theories
Complex Analysis meets Statistical Mechanics: Applications to Kernel Methods and Conformal Field Theory (Francesco Spadaro ), PhD Thesis, EPFL, November 2021.
Ising Model and Field Theory : Lattice Local Fields and Massive Scaling Limit, (Sung Chul Park), PhD Thesis , EPFL, September 2019.
Magnetization in the zig-zag layered Ising model and orthogonal polynomials (Dmitry Chelkak , Clément Hongler , Rémy Mahfouf ), [arXiv preprint arXiv:1904.09168 ].
The scaling limit of critical Ising interfaces is CLE(3) (Stéphane Benoist , Clément Hongler ), Annals of Prob. , September 2019.
Ising model: Local spin correlations and conformal invariance (Reza Gheissari , Clément Hongler , Sungchul Park), Comm. Math. Phys., February 2019.
Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure (Clément Hongler, Fredrik Johansson Viklund and Kalle Kytölä ), [arXiv:1307.4104v2 ].
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions (Stéphane Benoist , Hugo Duminil-Copin , Clément Hongler ), Ann. of IHP , October 2016.
Crossing probabilities in topological rectangles for the critical planar FK-Ising model (Dmitry Chelkak, Hugo Duminil-Copin , Clément Hongler ), Elec. J. of Prob ., January 2016.
Discrete holomorphicity and Ising model operator formalism (Kalle Kytölä , Clément Hongler, Ali Zahabi ), Contemporary Mathematics Series of the AMS , 2015.
Conformal Invariance of Spin Correlations in the Planar Ising Model (Dmitry Chelkak , Clément Hongler , Konstantin Izyurov ), Annals of Math. , May 2015.
Convergence of Ising interfaces to Schramm’s SLE curves (Dmitry Chelkak , Hugo Duminil-Copin , Clément Hongler, Antti Kemppainen , Stanislav Smirnov ), C. R. Acad. Sci. Paris , January 2014.
Conformal Invariance of Ising Model Correlations (Clément Hongler ), ICMP 2012 proceedings , World Scientific, October 2013.
Ising interfaces and free boundary conditions (Clément Hongler , Kalle Kytölä ), J. of the Amer. Math. Soc ., October 2013.
The energy density in the planar Ising model (Clément Hongler , Stanislav Smirnov ), Acta Math ., December 2013.
Hardy Spaces and Boundary Conditions from the Ising Model (Clément Hongler , Duong H. Phong ), Math. Zeit. , June 2013.
Connection probabilities and RSW-type bounds for the FK Ising model (Hugo Duminil-Copin , Clément Hongler , Pierre Nolin ), Comm. Pure and Appl. Math ., September 2011.
Critical percolation: the expected number of clusters in a rectangle (Clément Hongler , Stanislav Smirnov ), Prob. Th. and Rel. Fields , November 2011.
Conformal invariance of Ising model correlations (Clément Hongler ), Ph.D. thesis , Université de Genève, July 2010.
Machine Learning Theory
Theory of Deep Learning: Neural Tangent Kernel and Beyond (Arthur Jacot ), PhD Thesis , EPFL, August 2022.
Kernel Alignment Risk Estimator: Risk Prediction from Training Data (Arthur Jacot , Berfin Simsek , Francesco Spadaro , Clément Hongler , Franck Gabriel ), NeurIPS 2020, [arXiv link ]
Implicit regularization of Random Feature Models (Arthur Jacot , Berfin Simsek , Francesco Spadaro , Clément Hongler , Franck Gabriel ), ICML 2020. [arXiv link ].
The asymptotic spectrum of the Hessian of DNN throughout training (Arthur Jacot , Franck Gabriel , Clément Hongler ), [arXiv:1910.02875 ]. ICLR 2020.
Order and Chaos: NTK views on DNN Normalization, Checkerboard and Boundary Artifacts,Arthur Jacot , Franck Gabriel , François Ged , Clément Hongler ), [arXiv:1907.05715 ].
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:1901.01608 ]. J. of Stat. Mech.: Theory and Experiment, Volume 2020, February 2020.
Neural Tangent Kernel: Convergence and Generalization in Neural Networks (Arthur Jacot , Franck Gabriel , Clément Hongler ), [arXiv:1806.07572 ]. NeurIPS 2018 (Spotlight Talk –Poster ).
Decentralized Systems
