- Nicolás García Trillos, Félix Morales, Javier Morales:
Traditional and accelerated gradient descent for neural architecture search. CoRR abs/2006.15218 (2020) - Nicolás García Trillos, Javier Morales:
Semi-discrete optimization through semi-discrete optimal transport: a framework for neural architecture search. CoRR abs/2006.15221 (2020) - Jeff Calder, Nicolás García Trillos, Marta Lewicka:
Lipschitz regularity of graph Laplacians on random data clouds. CoRR abs/2007.06679 (2020) - Nicolás García Trillos, Ryan Murray:
Adversarial Classification: Necessary conditions and geometric flows. CoRR abs/2011.10797 (2020) - 2019
- Nicolás García Trillos, Zachary Kaplan, Daniel Sanz-Alonso:
Variational Characterizations of Local Entropy and Heat Regularization in Deep Learning. Entropy 21(5): 511 (2019) - Nicolás García Trillos, Daniel Sanz-Alonso, Ruiyi Yang:
Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis. J. Mach. Learn. Res. 20: 136:1-136:37 (2019) - Nicolás García Trillos:
Variational Limits of k-NN Graph-Based Functionals on Data Clouds. SIAM J. Math. Data Sci. 1(1): 93-120 (2019) - Nicolás García Trillos, Zachary Kaplan, Daniel Sanz-Alonso:
Variational Characterizations of Local Entropy and Heat Regularization in Deep Learning. CoRR abs/1901.10082 (2019) - Nicolás García Trillos, Ryan Murray:
A maximum principle argument for the uniform convergence of graph Laplacian regressors. CoRR abs/1901.10089 (2019) - Nicolás García Trillos, Daniel Sanz-Alonso, Ruiyi Yang:
Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis. CoRR abs/1904.03335 (2019) - Jeff Calder, Nicolás García Trillos:
Improved spectral convergence rates for graph Laplacians on epsilon-graphs and k-NN graphs. CoRR abs/1910.13476 (2019) - 2018
- Nicolás García Trillos, Daniel Sanz-Alonso:
Continuum Limits of Posteriors in Graph Bayesian Inverse Problems. SIAM J. Math. Anal. 50(4): 4020-4040 (2018) - 2017
- Aaditya Ramdas, Nicolás García Trillos, Marco Cuturi:
On Wasserstein Two-Sample Testing and Related Families of Nonparametric Tests. Entropy 19(2): 47 (2017) - Nicolás García Trillos, Zachary Kaplan, Thabo Samakhoana, Daniel Sanz-Alonso:
On the Consistency of Graph-based Bayesian Learning and the Scalability of Sampling Algorithms. CoRR abs/1710.07702 (2017) - 2016
- Nicolás García Trillos, Dejan Slepcev, James H. von Brecht, Thomas Laurent, Xavier Bresson:
Consistency of Cheeger and Ratio Graph Cuts. J. Mach. Learn. Res. 17: 181:1-181:46 (2016) - 2015
- Nicolás García Trillos, Dejan Slepcev:
A variational approach to the consistency of spectral clustering. CoRR abs/1508.01928 (2015) - 2014
- Nicolás García Trillos, Dejan Slepcev, James H. von Brecht, Thomas Laurent, Xavier Bresson:
Consistency of Cheeger and Ratio Graph Cuts. CoRR abs/1411.6590 (2014)