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Nicolás García Trillos
Nicolás García Trillos
Assistant Professor, Department of Statistics, University of Wisconsin-Madison
Verified email at wisc.edu - Homepage
Title
Cited by
Cited by
Year
On wasserstein two-sample testing and related families of nonparametric tests
A Ramdas, N García Trillos, M Cuturi
Entropy 19 (2), 47, 2017
4482017
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
178*2020
Continuum limit of total variation on point clouds
N García Trillos, D Slepčev
Archive for rational mechanics and analysis 220, 193-241, 2016
1452016
A variational approach to the consistency of spectral clustering
NG Trillos, D Slepčev
Applied and Computational Harmonic Analysis 45 (2), 239-281, 2018
1372018
On the rate of convergence of empirical measures in -transportation distance
N García Trillos, D Slepčev
arXiv e-prints, arXiv: 1407.1157, 2014
111*2014
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
942016
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
852022
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
362020
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
342018
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
322022
The Bayesian update: variational formulations and gradient flows
N Garcia Trillos, D Sanz-Alonso
272020
The Bayesian formulation and well-posedness of fractional elliptic inverse problems
NG Trillos, D Sanz-Alonso
Inverse Problems 33 (6), 065006, 2017
272017
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
242017
Geometric structure of graph Laplacian embeddings
NG Trillos, F Hoffmann, B Hosseini
Journal of Machine Learning Research 22 (63), 1-55, 2021
232021
Gromov–Hausdorff limit of Wasserstein spaces on point clouds
N García Trillos
Calculus of Variations and Partial Differential Equations 59 (2), 73, 2020
222020
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
222020
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
202019
Variational Limits of -NN Graph-Based Functionals on Data Clouds
N Garcia Trillos
SIAM Journal on Mathematics of Data Science 1 (1), 93-120, 2019
182019
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
142023
Adversarial classification: necessary conditions and geometric flows
N Garcia Trillos, R Murray
arXiv e-prints, arXiv: 2011.10797, 2020
14*2020
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