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export results for "Nicolás García Trillos"
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@article{DBLP:journals/corr/abs-2401-09191,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Matt Jacobs and
Jakwang Kim and
Matthew Werenski},
title = {An Optimal Transport Approach for Computing Adversarial Training Lower
Bounds in Multiclass Classification},
journal = {CoRR},
volume = {abs/2401.09191},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2401.09191},
doi = {10.48550/ARXIV.2401.09191},
eprinttype = {arXiv},
eprint = {2401.09191},
timestamp = {Thu, 01 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2401-09191.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/Trillos0L23,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Pengfei He and
Chenghui Li},
title = {Large sample spectral analysis of graph-based multi-manifold clustering},
journal = {J. Mach. Learn. Res.},
volume = {24},
pages = {143:1--143:71},
year = {2023},
url = {http://jmlr.org/papers/v24/21-1254.html},
timestamp = {Tue, 13 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/Trillos0L23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/TrillosJK23,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Matt Jacobs and
Jakwang Kim},
title = {The multimarginal optimal transport formulation of adversarial multiclass
classification},
journal = {J. Mach. Learn. Res.},
volume = {24},
pages = {45:1--45:56},
year = {2023},
url = {http://jmlr.org/papers/v24/22-0698.html},
timestamp = {Tue, 13 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/TrillosJK23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-03662,
author = {Camilo Garcia Trillos and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {On adversarial robustness and the use of Wasserstein ascent-descent
dynamics to enforce it},
journal = {CoRR},
volume = {abs/2301.03662},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.03662},
doi = {10.48550/ARXIV.2301.03662},
eprinttype = {arXiv},
eprint = {2301.03662},
timestamp = {Thu, 19 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-03662.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-00075,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Matt Jacobs and
Jakwang Kim},
title = {On the existence of solutions to adversarial training in multiclass
classification},
journal = {CoRR},
volume = {abs/2305.00075},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.00075},
doi = {10.48550/ARXIV.2305.00075},
eprinttype = {arXiv},
eprint = {2305.00075},
timestamp = {Thu, 04 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-00075.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-02894,
author = {Jose A. Carrillo and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Sixu Li and
Yuhua Zhu},
title = {FedCBO: Reaching Group Consensus in Clustered Federated Learning through
Consensus-based Optimization},
journal = {CoRR},
volume = {abs/2305.02894},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.02894},
doi = {10.48550/ARXIV.2305.02894},
eprinttype = {arXiv},
eprint = {2305.02894},
timestamp = {Wed, 10 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-02894.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-18779,
author = {Leon Bungert and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Matt Jacobs and
Daniel McKenzie and
Dorde Nikolic and
Qingsong Wang},
title = {It begins with a boundary: {A} geometric view on probabilistically
robust learning},
journal = {CoRR},
volume = {abs/2305.18779},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.18779},
doi = {10.48550/ARXIV.2305.18779},
eprinttype = {arXiv},
eprint = {2305.18779},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-18779.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-02378,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Melanie Weber},
title = {Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise
consistency and global lower bounds},
journal = {CoRR},
volume = {abs/2307.02378},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.02378},
doi = {10.48550/ARXIV.2307.02378},
eprinttype = {arXiv},
eprint = {2307.02378},
timestamp = {Mon, 10 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-02378.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-05750,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Anna Little and
Daniel McKenzie and
James M. Murphy},
title = {Fermat Distances: Metric Approximation, Spectral Convergence, and
Clustering Algorithms},
journal = {CoRR},
volume = {abs/2307.05750},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.05750},
doi = {10.48550/ARXIV.2307.05750},
eprinttype = {arXiv},
eprint = {2307.05750},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-05750.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2310-00729,
author = {Chenghui Li and
Rishi Sonthalia and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {Spectral Neural Networks: Approximation Theory and Optimization Landscape},
journal = {CoRR},
volume = {abs/2310.00729},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2310.00729},
doi = {10.48550/ARXIV.2310.00729},
eprinttype = {arXiv},
eprint = {2310.00729},
timestamp = {Wed, 18 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2310-00729.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-08135,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Bodhisattva Sen},
title = {A New Perspective On Denoising Based On Optimal Transport},
journal = {CoRR},
volume = {abs/2312.08135},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.08135},
doi = {10.48550/ARXIV.2312.08135},
eprinttype = {arXiv},
eprint = {2312.08135},
timestamp = {Tue, 09 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-08135.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/Trillos022,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray},
title = {Adversarial Classification: Necessary Conditions and Geometric Flows},
journal = {J. Mach. Learn. Res.},
volume = {23},
pages = {187:1--187:38},
year = {2022},
url = {http://jmlr.org/papers/v23/21-0222.html},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/Trillos022.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jns/TrillosM22,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Javier Morales},
title = {Semi-discrete Optimization Through Semi-discrete Optimal Transport:
{A} Framework for Neural Architecture Search},
journal = {J. Nonlinear Sci.},
volume = {32},
number = {3},
pages = {27},
year = {2022},
url = {https://doi.org/10.1007/s00332-022-09780-2},
doi = {10.1007/S00332-022-09780-2},
timestamp = {Tue, 03 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jns/TrillosM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/CalderTL22,
author = {Jeff Calder and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Marta Lewicka},
title = {Lipschitz Regularity of Graph Laplacians on Random Data Clouds},
journal = {{SIAM} J. Math. Anal.},
volume = {54},
number = {1},
pages = {1169--1222},
year = {2022},
url = {https://doi.org/10.1137/20m1356610},
doi = {10.1137/20M1356610},
timestamp = {Thu, 22 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamma/CalderTL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-12676,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Matt Jacobs and
Jakwang Kim},
title = {The Multimarginal Optimal Transport Formulation of Adversarial Multiclass
Classification},
journal = {CoRR},
volume = {abs/2204.12676},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2204.12676},
doi = {10.48550/ARXIV.2204.12676},
eprinttype = {arXiv},
eprint = {2204.12676},
timestamp = {Tue, 07 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2204-12676.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2207-01093,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Daniel Sanz{-}Alonso and
Ruiyi Yang},
title = {Mathematical Foundations of Graph-Based Bayesian Semi-Supervised Learning},
journal = {CoRR},
volume = {abs/2207.01093},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2207.01093},
doi = {10.48550/ARXIV.2207.01093},
eprinttype = {arXiv},
eprint = {2207.01093},
timestamp = {Wed, 06 Jul 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2207-01093.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-02305,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray and
Matthew Thorpe},
title = {Rates of Convergence for Regression with the Graph Poly-Laplacian},
journal = {CoRR},
volume = {abs/2209.02305},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.02305},
doi = {10.48550/ARXIV.2209.02305},
eprinttype = {arXiv},
eprint = {2209.02305},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-02305.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-15130,
author = {Yuetian Luo and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape
Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective},
journal = {CoRR},
volume = {abs/2209.15130},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.15130},
doi = {10.48550/ARXIV.2209.15130},
eprinttype = {arXiv},
eprint = {2209.15130},
timestamp = {Tue, 07 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-15130.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2210-06671,
author = {Aditya Kumar Akash and
Sixu Li and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {Wasserstein Barycenter-based Model Fusion and Linear Mode Connectivity
of Neural Networks},
journal = {CoRR},
volume = {abs/2210.06671},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2210.06671},
doi = {10.48550/ARXIV.2210.06671},
eprinttype = {arXiv},
eprint = {2210.06671},
timestamp = {Tue, 18 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2210-06671.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/TrillosHH21,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Franca Hoffmann and
Bamdad Hosseini},
title = {Geometric structure of graph Laplacian embeddings},
journal = {J. Mach. Learn. Res.},
volume = {22},
pages = {63:1--63:55},
year = {2021},
url = {http://jmlr.org/papers/v22/19-683.html},
timestamp = {Mon, 31 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jmlr/TrillosHH21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/gsi/TrillosMM21,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
F{\'{e}}lix Morales and
Javier Morales},
editor = {Frank Nielsen and
Fr{\'{e}}d{\'{e}}ric Barbaresco},
title = {Traditional and Accelerated Gradient Descent for Neural Architecture
Search},
booktitle = {Geometric Science of Information - 5th International Conference, {GSI}
2021, Paris, France, July 21-23, 2021, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12829},
pages = {507--514},
publisher = {Springer},
year = {2021},
url = {https://doi.org/10.1007/978-3-030-80209-7\_55},
doi = {10.1007/978-3-030-80209-7\_55},
timestamp = {Tue, 27 Jul 2021 08:16:25 +0200},
biburl = {https://dblp.org/rec/conf/gsi/TrillosMM21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2107-13610,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Pengfei He and
Chenghui Li},
title = {Large sample spectral analysis of graph-based multi-manifold clustering},
journal = {CoRR},
volume = {abs/2107.13610},
year = {2021},
url = {https://arxiv.org/abs/2107.13610},
eprinttype = {arXiv},
eprint = {2107.13610},
timestamp = {Tue, 03 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2107-13610.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2108-08687,
author = {Katy Craig and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Dejan Slepcev},
title = {Clustering dynamics on graphs: from spectral clustering to mean shift
through Fokker-Planck interpolation},
journal = {CoRR},
volume = {abs/2108.08687},
year = {2021},
url = {https://arxiv.org/abs/2108.08687},
eprinttype = {arXiv},
eprint = {2108.08687},
timestamp = {Mon, 23 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2108-08687.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2109-06294,
author = {Camilo Garcia Trillos and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {On the regularized risk of distributionally robust learning over deep
neural networks},
journal = {CoRR},
volume = {abs/2109.06294},
year = {2021},
url = {https://arxiv.org/abs/2109.06294},
eprinttype = {arXiv},
eprint = {2109.06294},
timestamp = {Wed, 22 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2109-06294.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-13613,
author = {Leon Bungert and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray},
title = {The Geometry of Adversarial Training in Binary Classification},
journal = {CoRR},
volume = {abs/2111.13613},
year = {2021},
url = {https://arxiv.org/abs/2111.13613},
eprinttype = {arXiv},
eprint = {2111.13613},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2111-13613.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/focm/TrillosGHS20,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Moritz Gerlach and
Matthias Hein and
Dejan Slepcev},
title = {Error Estimates for Spectral Convergence of the Graph Laplacian on
Random Geometric Graphs Toward the Laplace-Beltrami Operator},
journal = {Found. Comput. Math.},
volume = {20},
number = {4},
pages = {827--887},
year = {2020},
url = {https://doi.org/10.1007/s10208-019-09436-w},
doi = {10.1007/S10208-019-09436-W},
timestamp = {Tue, 18 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/focm/TrillosGHS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/TrillosKSS20,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Zachary Kaplan and
Thabo Samakhoana and
Daniel Sanz{-}Alonso},
title = {On the consistency of graph-based Bayesian semi-supervised learning
and the scalability of sampling algorithms},
journal = {J. Mach. Learn. Res.},
volume = {21},
pages = {28:1--28:47},
year = {2020},
url = {http://jmlr.org/papers/v21/17-698.html},
timestamp = {Thu, 18 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/TrillosKSS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/simods/TrillosM20,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan W. Murray},
title = {A Maximum Principle Argument for the Uniform Convergence of Graph
Laplacian Regressors},
journal = {{SIAM} J. Math. Data Sci.},
volume = {2},
number = {3},
pages = {705--739},
year = {2020},
url = {https://doi.org/10.1137/19M1245372},
doi = {10.1137/19M1245372},
timestamp = {Sat, 07 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/simods/TrillosM20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-07991,
author = {Daniele Bigoni and
Yuming Chen and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Youssef M. Marzouk and
Daniel Sanz{-}Alonso},
title = {Data-Driven Forward Discretizations for Bayesian Inversion},
journal = {CoRR},
volume = {abs/2003.07991},
year = {2020},
url = {https://arxiv.org/abs/2003.07991},
eprinttype = {arXiv},
eprint = {2003.07991},
timestamp = {Tue, 24 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-07991.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-09304,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray and
Matthew Thorpe},
title = {From graph cuts to isoperimetric inequalities: Convergence rates of
Cheeger cuts on data clouds},
journal = {CoRR},
volume = {abs/2004.09304},
year = {2020},
url = {https://arxiv.org/abs/2004.09304},
eprinttype = {arXiv},
eprint = {2004.09304},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-09304.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2006-15218,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
F{\'{e}}lix Morales and
Javier Morales},
title = {Traditional and accelerated gradient descent for neural architecture
search},
journal = {CoRR},
volume = {abs/2006.15218},
year = {2020},
url = {https://arxiv.org/abs/2006.15218},
eprinttype = {arXiv},
eprint = {2006.15218},
timestamp = {Tue, 27 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2006-15218.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2006-15221,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Javier Morales},
title = {Semi-discrete optimization through semi-discrete optimal transport:
a framework for neural architecture search},
journal = {CoRR},
volume = {abs/2006.15221},
year = {2020},
url = {https://arxiv.org/abs/2006.15221},
eprinttype = {arXiv},
eprint = {2006.15221},
timestamp = {Thu, 02 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2006-15221.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2007-06679,
author = {Jeff Calder and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Marta Lewicka},
title = {Lipschitz regularity of graph Laplacians on random data clouds},
journal = {CoRR},
volume = {abs/2007.06679},
year = {2020},
url = {https://arxiv.org/abs/2007.06679},
eprinttype = {arXiv},
eprint = {2007.06679},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2007-06679.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2011-10797,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray},
title = {Adversarial Classification: Necessary conditions and geometric flows},
journal = {CoRR},
volume = {abs/2011.10797},
year = {2020},
url = {https://arxiv.org/abs/2011.10797},
eprinttype = {arXiv},
eprint = {2011.10797},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2011-10797.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/entropy/TrillosKS19,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Zachary Kaplan and
Daniel Sanz{-}Alonso},
title = {Variational Characterizations of Local Entropy and Heat Regularization
in Deep Learning},
journal = {Entropy},
volume = {21},
number = {5},
pages = {511},
year = {2019},
url = {https://doi.org/10.3390/e21050511},
doi = {10.3390/E21050511},
timestamp = {Fri, 25 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/entropy/TrillosKS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/TrillosSY19,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Daniel Sanz{-}Alonso and
Ruiyi Yang},
title = {Local Regularization of Noisy Point Clouds: Improved Global Geometric
Estimates and Data Analysis},
journal = {J. Mach. Learn. Res.},
volume = {20},
pages = {136:1--136:37},
year = {2019},
url = {http://jmlr.org/papers/v20/19-261.html},
timestamp = {Thu, 18 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/TrillosSY19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/simods/Trillos19,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {Variational Limits of k-NN Graph-Based Functionals on Data Clouds},
journal = {{SIAM} J. Math. Data Sci.},
volume = {1},
number = {1},
pages = {93--120},
year = {2019},
url = {https://doi.org/10.1137/18M1188999},
doi = {10.1137/18M1188999},
timestamp = {Tue, 24 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/simods/Trillos19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-10082,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Zachary Kaplan and
Daniel Sanz{-}Alonso},
title = {Variational Characterizations of Local Entropy and Heat Regularization
in Deep Learning},
journal = {CoRR},
volume = {abs/1901.10082},
year = {2019},
url = {http://arxiv.org/abs/1901.10082},
eprinttype = {arXiv},
eprint = {1901.10082},
timestamp = {Mon, 04 Feb 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-10082.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-10089,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Ryan Murray},
title = {A maximum principle argument for the uniform convergence of graph
Laplacian regressors},
journal = {CoRR},
volume = {abs/1901.10089},
year = {2019},
url = {http://arxiv.org/abs/1901.10089},
eprinttype = {arXiv},
eprint = {1901.10089},
timestamp = {Wed, 07 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1901-10089.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1904-03335,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Daniel Sanz{-}Alonso and
Ruiyi Yang},
title = {Local Regularization of Noisy Point Clouds: Improved Global Geometric
Estimates and Data Analysis},
journal = {CoRR},
volume = {abs/1904.03335},
year = {2019},
url = {http://arxiv.org/abs/1904.03335},
eprinttype = {arXiv},
eprint = {1904.03335},
timestamp = {Fri, 26 Apr 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1904-03335.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1910-13476,
author = {Jeff Calder and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos},
title = {Improved spectral convergence rates for graph Laplacians on epsilon-graphs
and k-NN graphs},
journal = {CoRR},
volume = {abs/1910.13476},
year = {2019},
url = {http://arxiv.org/abs/1910.13476},
eprinttype = {arXiv},
eprint = {1910.13476},
timestamp = {Thu, 31 Oct 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1910-13476.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/TrillosS18,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Daniel Sanz{-}Alonso},
title = {Continuum Limits of Posteriors in Graph Bayesian Inverse Problems},
journal = {{SIAM} J. Math. Anal.},
volume = {50},
number = {4},
pages = {4020--4040},
year = {2018},
url = {https://doi.org/10.1137/17M1138005},
doi = {10.1137/17M1138005},
timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamma/TrillosS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/entropy/RamdasTC17,
author = {Aaditya Ramdas and
Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Marco Cuturi},
title = {On Wasserstein Two-Sample Testing and Related Families of Nonparametric
Tests},
journal = {Entropy},
volume = {19},
number = {2},
pages = {47},
year = {2017},
url = {https://doi.org/10.3390/e19020047},
doi = {10.3390/E19020047},
timestamp = {Tue, 14 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/entropy/RamdasTC17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1710-07702,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Zachary Kaplan and
Thabo Samakhoana and
Daniel Sanz{-}Alonso},
title = {On the Consistency of Graph-based Bayesian Learning and the Scalability
of Sampling Algorithms},
journal = {CoRR},
volume = {abs/1710.07702},
year = {2017},
url = {http://arxiv.org/abs/1710.07702},
eprinttype = {arXiv},
eprint = {1710.07702},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1710-07702.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmlr/TrillosSBLB16,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Dejan Slepcev and
James H. von Brecht and
Thomas Laurent and
Xavier Bresson},
title = {Consistency of Cheeger and Ratio Graph Cuts},
journal = {J. Mach. Learn. Res.},
volume = {17},
pages = {181:1--181:46},
year = {2016},
url = {http://jmlr.org/papers/v17/14-490.html},
timestamp = {Wed, 10 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmlr/TrillosSBLB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/TrillosS15,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Dejan Slepcev},
title = {A variational approach to the consistency of spectral clustering},
journal = {CoRR},
volume = {abs/1508.01928},
year = {2015},
url = {http://arxiv.org/abs/1508.01928},
eprinttype = {arXiv},
eprint = {1508.01928},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/TrillosS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/TrillosSB0B14,
author = {Nicol{\'{a}}s Garc{\'{\i}}a Trillos and
Dejan Slepcev and
James H. von Brecht and
Thomas Laurent and
Xavier Bresson},
title = {Consistency of Cheeger and Ratio Graph Cuts},
journal = {CoRR},
volume = {abs/1411.6590},
year = {2014},
url = {http://arxiv.org/abs/1411.6590},
eprinttype = {arXiv},
eprint = {1411.6590},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/TrillosSB0B14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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