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Exactly Computing the Local Lipschitz Constant of ReLU Networks

Exactly Computing the Local Lipschitz Constant of ReLU Networks

2 March 2020
Matt Jordan
A. Dimakis
ArXivPDFHTML

Papers citing "Exactly Computing the Local Lipschitz Constant of ReLU Networks"

34 / 34 papers shown
Title
TAROT: Towards Essentially Domain-Invariant Robustness with Theoretical Justification
TAROT: Towards Essentially Domain-Invariant Robustness with Theoretical Justification
Dongyoon Yang
Jihu Lee
Yongdai Kim
29
0
0
10 May 2025
SPLITZ: Certifiable Robustness via Split Lipschitz Randomized Smoothing
SPLITZ: Certifiable Robustness via Split Lipschitz Randomized Smoothing
Meiyu Zhong
Ravi Tandon
36
3
0
03 Jul 2024
Detecting Brittle Decisions for Free: Leveraging Margin Consistency in
  Deep Robust Classifiers
Detecting Brittle Decisions for Free: Leveraging Margin Consistency in Deep Robust Classifiers
Jonas Ngnawé
Sabyasachi Sahoo
Y. Pequignot
Frédéric Precioso
Christian Gagné
AAML
39
0
0
26 Jun 2024
1-Lipschitz Neural Distance Fields
1-Lipschitz Neural Distance Fields
Guillaume Coiffier
Louis Bethune
43
3
0
14 Jun 2024
Explicit Lipschitz Value Estimation Enhances Policy Robustness Against
  Perturbation
Explicit Lipschitz Value Estimation Enhances Policy Robustness Against Perturbation
Xulin Chen
Ruipeng Liu
Garret E. Katz
42
0
0
22 Apr 2024
Tight Certified Robustness via Min-Max Representations of ReLU Neural
  Networks
Tight Certified Robustness via Min-Max Representations of ReLU Neural Networks
Brendon G. Anderson
Samuel Pfrommer
Somayeh Sojoudi
OOD
24
1
0
07 Oct 2023
Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularization
Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularization
Mahyar Fazlyab
Taha Entesari
Aniket Roy
Ramalingam Chellappa
AAML
16
11
0
29 Sep 2023
Certified Robust Models with Slack Control and Large Lipschitz Constants
Certified Robust Models with Slack Control and Large Lipschitz Constants
M. Losch
David Stutz
Bernt Schiele
Mario Fritz
14
4
0
12 Sep 2023
Statistically Optimal Generative Modeling with Maximum Deviation from
  the Empirical Distribution
Statistically Optimal Generative Modeling with Maximum Deviation from the Empirical Distribution
Elen Vardanyan
Sona Hunanyan
T. Galstyan
A. Minasyan
A. Dalalyan
34
2
0
31 Jul 2023
When Deep Learning Meets Polyhedral Theory: A Survey
When Deep Learning Meets Polyhedral Theory: A Survey
Joey Huchette
Gonzalo Muñoz
Thiago Serra
Calvin Tsay
AI4CE
94
32
0
29 Apr 2023
A Neurosymbolic Approach to the Verification of Temporal Logic
  Properties of Learning enabled Control Systems
A Neurosymbolic Approach to the Verification of Temporal Logic Properties of Learning enabled Control Systems
Navid Hashemi
Bardh Hoxha
Tomoya Yamaguchi
Danil Prokhorov
Geogios Fainekos
Jyotirmoy Deshmukh
25
7
0
07 Mar 2023
Injectivity of ReLU networks: perspectives from statistical physics
Injectivity of ReLU networks: perspectives from statistical physics
Antoine Maillard
Afonso S. Bandeira
David Belius
Ivan Dokmanić
S. Nakajima
25
5
0
27 Feb 2023
Improving the Accuracy-Robustness Trade-Off of Classifiers via Adaptive
  Smoothing
Improving the Accuracy-Robustness Trade-Off of Classifiers via Adaptive Smoothing
Yatong Bai
Brendon G. Anderson
Aerin Kim
Somayeh Sojoudi
AAML
30
18
0
29 Jan 2023
On the Lipschitz Constant of Deep Networks and Double Descent
On the Lipschitz Constant of Deep Networks and Double Descent
Matteo Gamba
Hossein Azizpour
Marten Bjorkman
25
7
0
28 Jan 2023
Certified Interpretability Robustness for Class Activation Mapping
Certified Interpretability Robustness for Class Activation Mapping
Alex Gu
Tsui-Wei Weng
Pin-Yu Chen
Sijia Liu
Lucani E. Daniel
AAML
21
2
0
26 Jan 2023
Instance-Dependent Generalization Bounds via Optimal Transport
Instance-Dependent Generalization Bounds via Optimal Transport
Songyan Hou
Parnian Kassraie
Anastasis Kratsios
Andreas Krause
Jonas Rothfuss
22
6
0
02 Nov 2022
Learning-based Design of Luenberger Observers for Autonomous Nonlinear
  Systems
Learning-based Design of Luenberger Observers for Autonomous Nonlinear Systems
Muhammad Umar B. Niazi
Johnson R. Cao
Xu-yang Sun
Amritam Das
Karl H. Johansson
OOD
13
22
0
04 Oct 2022
Contrastive Adapters for Foundation Model Group Robustness
Contrastive Adapters for Foundation Model Group Robustness
Michael Zhang
Christopher Ré
VLM
13
61
0
14 Jul 2022
Stability Verification of Neural Network Controllers using Mixed-Integer
  Programming
Stability Verification of Neural Network Controllers using Mixed-Integer Programming
Roland Schwan
Colin N. Jones
Daniel Kuhn
27
24
0
27 Jun 2022
Riemannian data-dependent randomized smoothing for neural networks
  certification
Riemannian data-dependent randomized smoothing for neural networks certification
Pol Labarbarie
H. Hajri
M. Arnaudon
27
4
0
21 Jun 2022
Robust stabilization of polytopic systems via fast and reliable neural
  network-based approximations
Robust stabilization of polytopic systems via fast and reliable neural network-based approximations
F. Fabiani
Paul Goulart
15
5
0
27 Apr 2022
A Quantitative Geometric Approach to Neural-Network Smoothness
A Quantitative Geometric Approach to Neural-Network Smoothness
Z. Wang
Gautam Prakriya
S. Jha
35
13
0
02 Mar 2022
A Domain-Theoretic Framework for Robustness Analysis of Neural Networks
A Domain-Theoretic Framework for Robustness Analysis of Neural Networks
Can Zhou
R. A. Shaikh
Yiran Li
Amin Farjudian
OOD
33
4
0
01 Mar 2022
Adversarial robustness of sparse local Lipschitz predictors
Adversarial robustness of sparse local Lipschitz predictors
Ramchandran Muthukumar
Jeremias Sulam
AAML
32
13
0
26 Feb 2022
On the Impact of Hard Adversarial Instances on Overfitting in
  Adversarial Training
On the Impact of Hard Adversarial Instances on Overfitting in Adversarial Training
Chen Liu
Zhichao Huang
Mathieu Salzmann
Tong Zhang
Sabine Süsstrunk
AAML
15
13
0
14 Dec 2021
Training Certifiably Robust Neural Networks with Efficient Local
  Lipschitz Bounds
Training Certifiably Robust Neural Networks with Efficient Local Lipschitz Bounds
Yujia Huang
Huan Zhang
Yuanyuan Shi
J Zico Kolter
Anima Anandkumar
27
76
0
02 Nov 2021
Adaptive Differentially Private Empirical Risk Minimization
Adaptive Differentially Private Empirical Risk Minimization
Xiaoxia Wu
Lingxiao Wang
Irina Cristali
Quanquan Gu
Rebecca Willett
35
6
0
14 Oct 2021
Parameterizing Activation Functions for Adversarial Robustness
Parameterizing Activation Functions for Adversarial Robustness
Sihui Dai
Saeed Mahloujifar
Prateek Mittal
AAML
42
32
0
11 Oct 2021
Provable Lipschitz Certification for Generative Models
Provable Lipschitz Certification for Generative Models
Matt Jordan
A. Dimakis
11
14
0
06 Jul 2021
Analytical bounds on the local Lipschitz constants of ReLU networks
Analytical bounds on the local Lipschitz constants of ReLU networks
Trevor Avant
K. Morgansen
FAtt
19
12
0
29 Apr 2021
Model Error Propagation via Learned Contraction Metrics for Safe
  Feedback Motion Planning of Unknown Systems
Model Error Propagation via Learned Contraction Metrics for Safe Feedback Motion Planning of Unknown Systems
Glen Chou
N. Ozay
Dmitry Berenson
24
25
0
18 Apr 2021
Planning with Learned Dynamics: Probabilistic Guarantees on Safety and
  Reachability via Lipschitz Constants
Planning with Learned Dynamics: Probabilistic Guarantees on Safety and Reachability via Lipschitz Constants
Craig Knuth
Glen Chou
N. Ozay
Dmitry Berenson
22
33
0
18 Oct 2020
Training robust neural networks using Lipschitz bounds
Training robust neural networks using Lipschitz bounds
Patricia Pauli
Anne Koch
J. Berberich
Paul Kohler
Frank Allgöwer
19
156
0
06 May 2020
A Closer Look at Accuracy vs. Robustness
A Closer Look at Accuracy vs. Robustness
Yao-Yuan Yang
Cyrus Rashtchian
Hongyang R. Zhang
Ruslan Salakhutdinov
Kamalika Chaudhuri
OOD
68
26
0
05 Mar 2020
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