On wasserstein two-sample testing and related families of nonparametric tests A Ramdas, N García Trillos, M Cuturi
Entropy 19 (2), 47, 2017
583 2017 Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator N García Trillos, M Gerlach, M Hein, D Slepčev
Foundations of Computational Mathematics 20 (4), 827-887, 2020
215 * 2020 Continuum limit of total variation on point clouds N García Trillos, D Slepčev
Archive for rational mechanics and analysis 220, 193-241, 2016
173 2016 A variational approach to the consistency of spectral clustering NG Trillos, D Slepčev
Applied and Computational Harmonic Analysis 45 (2), 239-281, 2018
146 2018 On the rate of convergence of empirical measures in N García Trillos, D Slepčev
arXiv e-prints, arXiv: 1407.1157, 2014
121 * 2014 Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs J Calder, NG Trillos
Applied and Computational Harmonic Analysis 60, 123-175, 2022
119 2022 Consistency of Cheeger and ratio graph cuts NG Trillos, D Slep, J Von Brecht, T Laurent, X Bresson
Journal of Machine Learning Research 17 (181), 1-46, 2016
104 2016 Lipschitz regularity of graph Laplacians on random data clouds J Calder, N García Trillos, M Lewicka
SIAM Journal on Mathematical Analysis 54 (1), 1169-1222, 2022
46 2022 On the consistency of graph-based Bayesian semi-supervised learning and the scalability of sampling algorithms NG Trillos, Z Kaplan, T Samakhoana, D Sanz-Alonso
Journal of machine learning research 21 (28), 1-47, 2020
37 2020 Continuum limits of posteriors in graph Bayesian inverse problems N García Trillos, D Sanz-Alonso
SIAM Journal on Mathematical Analysis 50 (4), 4020-4040, 2018
37 2018 The Bayesian update: variational formulations and gradient flows N Garcia Trillos, D Sanz-Alonso
36 2020 The Bayesian formulation and well-posedness of fractional elliptic inverse problems NG Trillos, D Sanz-Alonso
Inverse Problems 33 (6), 065006, 2017
31 2017 Geometric structure of graph Laplacian embeddings NG Trillos, F Hoffmann, B Hosseini
Journal of Machine Learning Research 22 (63), 1-55, 2021
29 2021 A new analytical approach to consistency and overfitting in regularized empirical risk minimization NG Trillos, R Murray
European Journal of Applied Mathematics 28 (6), 886-921, 2017
28 2017 Gromov–Hausdorff limit of Wasserstein spaces on point clouds N García Trillos
Calculus of Variations and Partial Differential Equations 59 (2), 73, 2020
26 2020 The geometry of adversarial training in binary classification L Bungert, N García Trillos, R Murray
Information and Inference: A Journal of the IMA 12 (2), 921-968, 2023
23 2023 A maximum principle argument for the uniform convergence of graph Laplacian regressors N Garcia Trillos, RW Murray
SIAM Journal on Mathematics of Data Science 2 (3), 705-739, 2020
23 2020 Local regularization of noisy point clouds: Improved global geometric estimates and data analysis NG Trillos, D Sanz-Alonso, R Yang
Journal of Machine Learning Research 20 (136), 1-37, 2019
22 2019 FedCBO: Reaching group consensus in clustered federated learning through consensus-based optimization JA Carrillo, NG Trillos, S Li, Y Zhu
Journal of machine learning research 25 (214), 1-51, 2024
21 2024 The multimarginal optimal transport formulation of adversarial multiclass classification NG Trillos, M Jacobs, J Kim
Journal of machine learning research 24 (45), 1-56, 2023
21 2023 