N. Garcia Trillos, D. Sanz-Alonso, R. Yang, "Local regularization of noisy point clouds: improved global geometric estimates and data analysis" To appear in JMLR, 2019. View Preprint
N. Garcia Trillos, F. Hoffmann, B. Hosseini "Geometric structure of graph Laplacian embeddings." Preprint 2019. View Preprint

N. Garcia Trillos, R. Murray "A maximum principle argument for the uniform convergence of graph Laplacian regressors." Preprint 2019. View Preprint

N. Garcia Trillos, Z. Kaplan, D. Sanz-Alonso "Variational characterization of local entropy and heat regularization in deep learning." Entropy 2019. View Preprint

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." To appear in FOCM. 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 "The Bayesian Update: Variational Formulations and Gradient Flows" To appear in Bayesian Analysis. 2018. 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." To Appear in SIMODS. 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

Publications:

NICOLAS GARCIA TRILLOS