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Eikonal depth: an optimal control approach to statistical depths

Eikonal depth: an optimal control approach to statistical depths

14 January 2022
M. Molina-Fructuoso
Ryan W. Murray
    MDE
ArXiv (abs)PDFHTML

Papers citing "Eikonal depth: an optimal control approach to statistical depths"

20 / 20 papers shown
Title
Hamilton-Jacobi equations on graphs with applications to semi-supervised
  learning and data depth
Hamilton-Jacobi equations on graphs with applications to semi-supervised learning and data depth
Jeff Calder
Mahmood Ettehad
88
16
0
17 Feb 2022
The Geometry of Adversarial Training in Binary Classification
The Geometry of Adversarial Training in Binary Classification
Leon Bungert
Nicolas García Trillos
Ryan W. Murray
AAML
89
24
0
26 Nov 2021
Boundary Estimation from Point Clouds: Algorithms, Guarantees and
  Applications
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications
Jeff Calder
Sangmin Park
D. Slepčev
3DPC
74
10
0
05 Nov 2021
Distributionally Robust Learning
Distributionally Robust Learning
Ruidi Chen
I. Paschalidis
OOD
80
67
0
20 Aug 2021
Large sample spectral analysis of graph-based multi-manifold clustering
Large sample spectral analysis of graph-based multi-manifold clustering
Nicolas García Trillos
Pengfei He
Chenghui Li
122
6
0
28 Jul 2021
Tukey Depths and Hamilton-Jacobi Differential Equations
Tukey Depths and Hamilton-Jacobi Differential Equations
M. Molina-Fructuoso
Ryan W. Murray
45
6
0
04 Apr 2021
Adversarial Classification: Necessary conditions and geometric flows
Adversarial Classification: Necessary conditions and geometric flows
Nicolas García Trillos
Ryan W. Murray
AAML
79
19
0
21 Nov 2020
Poisson Learning: Graph Based Semi-Supervised Learning At Very Low Label
  Rates
Poisson Learning: Graph Based Semi-Supervised Learning At Very Low Label Rates
Jeff Calder
Brendan Cook
Matthew Thorpe
D. Slepčev
72
84
0
19 Jun 2020
Adversarial Risk via Optimal Transport and Optimal Couplings
Adversarial Risk via Optimal Transport and Optimal Couplings
Muni Sreenivas Pydi
Varun Jog
82
60
0
05 Dec 2019
A maximum principle argument for the uniform convergence of graph
  Laplacian regressors
A maximum principle argument for the uniform convergence of graph Laplacian regressors
Nicolas García Trillos
Ryan W. Murray
58
20
0
29 Jan 2019
Robustness via curvature regularization, and vice versa
Robustness via curvature regularization, and vice versa
Seyed-Mohsen Moosavi-Dezfooli
Alhussein Fawzi
J. Uesato
P. Frossard
AAML
90
319
0
23 Nov 2018
Halfspace depth does not characterize probability distributions
Halfspace depth does not characterize probability distributions
Stanislav Nagy
MDE
133
18
0
22 Oct 2018
Data depth and floating body
Data depth and floating body
Stanislav Nagy
C. Schuett
E. Werner
MDE
134
42
0
28 Sep 2018
Error estimates for spectral convergence of the graph Laplacian on
  random geometric graphs towards the Laplace--Beltrami operator
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator
Nicolas García Trillos
Moritz Gerlach
Matthias Hein
D. Slepčev
113
173
0
30 Jan 2018
Analysis of $p$-Laplacian Regularization in Semi-Supervised Learning
Analysis of ppp-Laplacian Regularization in Semi-Supervised Learning
D. Slepčev
Matthew Thorpe
57
115
0
19 Jul 2017
Towards Deep Learning Models Resistant to Adversarial Attacks
Towards Deep Learning Models Resistant to Adversarial Attacks
Aleksander Madry
Aleksandar Makelov
Ludwig Schmidt
Dimitris Tsipras
Adrian Vladu
SILMOOD
319
12,151
0
19 Jun 2017
A new analytical approach to consistency and overfitting in regularized
  empirical risk minimization
A new analytical approach to consistency and overfitting in regularized empirical risk minimization
Nicolas García Trillos
Ryan W. Murray
36
21
0
01 Jul 2016
Monge-Kantorovich Depth, Quantiles, Ranks, and Signs
Monge-Kantorovich Depth, Quantiles, Ranks, and Signs
Victor Chernozhukov
Alfred Galichon
Marc Hallin
Marc Henry
191
244
0
29 Dec 2014
Explaining and Harnessing Adversarial Examples
Explaining and Harnessing Adversarial Examples
Ian Goodfellow
Jonathon Shlens
Christian Szegedy
AAMLGAN
282
19,145
0
20 Dec 2014
Continuum limit of total variation on point clouds
Continuum limit of total variation on point clouds
Nicolás García Trillos
D. Slepčev
3DPC
84
147
0
25 Mar 2014
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