NICOLAS GARCIA TRILLOS

Nicolas Garcia Trillos

© Copyright Nicolas Garcia trillos

Publications:

  • N. Garcia Trillos, R. Murray, D. Sanz-Alonso "Spatial extreme values: variational techniques and stochastic integrals." Preprint 2018. View Preprint
  • N.Garcia Trillos, M. Gerlach, M. Hein, D. Slepcev "Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator." Preprint. 2018. View in ArXiv

  • N. Garcia Trillos, Z. Kaplan, T. Samakhoana and D. Sanz-Alonso "On the consistency of graph-based Bayesian learning and the scalability of sampling algorithms." Preprint. 2017. View in ArXiv


  • N. Garcia Trillos and Daniel Sanz-Alonso "Continuum limit of Posteriors in Graph Bayesian Inverse Problems.'' To appear in SIMA. 2017. View in ArXiv


  • N. Garcia Trillos and Daniel Sanz-Alonso "Gradient Flows: Applications to  Classification, Image Denoising, and Riemannian MCMC." Preprint. 2017. View Preprint

  • N. Garcia Trillos "Gromov-Hausdorff limit of Wasserstein spaces on point clouds." Preprint. ​2017. View in ArXiv


  • A. Ramdas, N. Garcia Trillos, M. Cuturi "On Wasserstein Two-Sample Testing and Related Families of Nonparametric Tests." Entropy​. 2017. View in ArXiv 


  • N. Garcia Trillos, Daniel Sanz-Alonso "The Bayesian Formulation and Well-Posedness of Fractional Elliptic Inverse Problems." Inverse Problems.​ 2017. View in ArXiv


  • N. Garcia Trillos "Variational limits of k-NN graph based functionals on data clouds." Preprint​. 2016. View in ArXiv


  • N. Garcia Trillos, R. Murray. "A new analytical approach to consistency and overfitting in regularized empirical risk minimization." EJAM. 2017. View in Arxiv


  • N. Garcıa Trillos, D. Slepcev, J. von Brecht. ''Estimating perimeter using graph cuts.'' Advances in Applied Probability. 2017. View in ArXiv


  • X. Bresson, N. Garcıa Trillos, T. Laurent, D. Slepcev and J. von Brecht. ''Consistency of Cheeger and ratio graph cuts.'' JMLR. 2016. View in ArXiv 


  • N. Garcıa Trillos, D. Slepcev. "A variational approach to the consistency of spectral clustering." Applied and Computational Harmonic Analysis. 2016. View in ArXiv 


  • N. Garcıa Trillos and D. Slepcev. ''Continuum limit of total variation on point clouds.'' Archive for Rational Mechanics and Analysis. 2015. View in ArXiv 


  • N. Garcia Trillos and D. Slepcev. ''On the rate of convergence of empirical measures in ∞-transportation distance.''  Canadian Journal of Mathematics. 2015.     View in ArXiv