On wasserstein two-sample testing and related families of nonparametric tests A Ramdas, N García Trillos, M Cuturi Entropy 19 (2), 47, 2017 | 529 | 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 | 199* | 2020 |
Continuum limit of total variation on point clouds N García Trillos, D Slepčev Archive for rational mechanics and analysis 220, 193-241, 2016 | 155 | 2016 |
A variational approach to the consistency of spectral clustering NG Trillos, D Slepčev Applied and Computational Harmonic Analysis 45 (2), 239-281, 2018 | 142 | 2018 |
On the rate of convergence of empirical measures in -transportation distance N García Trillos, D Slepčev arXiv e-prints, arXiv: 1407.1157, 2014 | 119* | 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 | 103 | 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 | 99 | 2016 |
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 | 36 | 2018 |
The Bayesian update: variational formulations and gradient flows N Garcia Trillos, D Sanz-Alonso | 34 | 2020 |
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 | 33 | 2022 |
The Bayesian formulation and well-posedness of fractional elliptic inverse problems NG Trillos, D Sanz-Alonso Inverse Problems 33 (6), 065006, 2017 | 29 | 2017 |
Geometric structure of graph Laplacian embeddings NG Trillos, F Hoffmann, B Hosseini Journal of Machine Learning Research 22 (63), 1-55, 2021 | 26 | 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 | 25 | 2017 |
Gromov–Hausdorff limit of Wasserstein spaces on point clouds N García Trillos Calculus of Variations and Partial Differential Equations 59 (2), 73, 2020 | 24 | 2020 |
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 | 22 | 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 | 21 | 2019 |
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 | 19 | 2023 |
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 | 19 | 2023 |
Adversarial classification: necessary conditions and geometric flows N Garcia Trillos, R Murray arXiv e-prints, arXiv: 2011.10797, 2020 | 19* | 2020 |