Continuum Limit of Total Variation on Point Clouds
Garcia Trillos, Nicolas, SlepAeev, Dejan
Published in Archive for rational mechanics and analysis (01.04.2016)
Published in Archive for rational mechanics and analysis (01.04.2016)
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Journal Article
Gromov–Hausdorff limit of Wasserstein spaces on point clouds
García Trillos, Nicolás
Published in Calculus of variations and partial differential equations (01.04.2020)
Published in Calculus of variations and partial differential equations (01.04.2020)
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Journal Article
Variational Characterizations of Local Entropy and Heat Regularization in Deep Learning
García Trillos, Nicolas, Kaplan, Zachary, Sanz-Alonso, Daniel
Published in Entropy (Basel, Switzerland) (20.05.2019)
Published in Entropy (Basel, Switzerland) (20.05.2019)
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Journal Article
Data-Driven Forward Discretizations for Bayesian Inversion
Bigoni, Daniele, Chen, Yuming, Nicolas Garcia Trillos, Marzouk, Youssef, Sanz-Alonso, Daniel
Published in arXiv.org (21.08.2020)
Published in arXiv.org (21.08.2020)
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Journal Article
Estimating perimeter using graph cuts
García Trillos, Nicolás, Slepčev, Dejan, von Brecht, James
Published in Advances in applied probability (01.12.2017)
Published in Advances in applied probability (01.12.2017)
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Journal Article
A variational approach to the consistency of spectral clustering
García Trillos, Nicolás, Slepčev, Dejan
Published in Applied and computational harmonic analysis (01.09.2018)
Published in Applied and computational harmonic analysis (01.09.2018)
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Journal Article
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs
Calder, Jeff, García Trillos, Nicolás
Published in Applied and computational harmonic analysis (01.09.2022)
Published in Applied and computational harmonic analysis (01.09.2022)
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Journal Article
An Analytical and Geometric Perspective on Adversarial Robustness
García Trillos, Nicolas, Jacobs, Matt
Published in Notices of the American Mathematical Society (01.09.2023)
Published in Notices of the American Mathematical Society (01.09.2023)
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Journal Article
Rates of convergence for regression with the graph poly-Laplacian
Trillos, Nicolás García, Murray, Ryan, Thorpe, Matthew
Published in Sampling theory, signal processing, and data analysis (01.12.2023)
Published in Sampling theory, signal processing, and data analysis (01.12.2023)
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Journal Article