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Sorting out Lipschitz function approximation

Sorting out Lipschitz function approximation

13 November 2018
Cem Anil
James Lucas
Roger C. Grosse
ArXivPDFHTML

Papers citing "Sorting out Lipschitz function approximation"

50 / 73 papers shown
Title
Approximation theory for 1-Lipschitz ResNets
Approximation theory for 1-Lipschitz ResNets
Davide Murari
Takashi Furuya
Carola-Bibiane Schönlieb
9
0
0
17 May 2025
A Formally Verified Robustness Certifier for Neural Networks (Extended Version)
A Formally Verified Robustness Certifier for Neural Networks (Extended Version)
James Tobler
Hira Taqdees Syeda
Toby Murray
AAML
29
0
0
11 May 2025
Probabilistic Stability Guarantees for Feature Attributions
Probabilistic Stability Guarantees for Feature Attributions
Helen Jin
Anton Xue
Weiqiu You
Surbhi Goel
Eric Wong
27
0
0
18 Apr 2025
Support is All You Need for Certified VAE Training
Support is All You Need for Certified VAE Training
Changming Xu
Debangshu Banerjee
Deepak Vasisht
Gagandeep Singh
AAML
44
0
0
16 Apr 2025
On Space Folds of ReLU Neural Networks
On Space Folds of ReLU Neural Networks
Michal Lewandowski
Hamid Eghbalzadeh
Bernhard Heinzl
Raphael Pisoni
Bernhard A.Moser
MLT
87
1
0
17 Feb 2025
HadamRNN: Binary and Sparse Ternary Orthogonal RNNs
HadamRNN: Binary and Sparse Ternary Orthogonal RNNs
Armand Foucault
Franck Mamalet
François Malgouyres
MQ
85
0
0
28 Jan 2025
Fast and scalable Wasserstein-1 neural optimal transport solver for single-cell perturbation prediction
Fast and scalable Wasserstein-1 neural optimal transport solver for single-cell perturbation prediction
Yanshuo Chen
Zhengmian Hu
Wei Chen
Heng Huang
OT
55
2
0
01 Nov 2024
Certified Causal Defense with Generalizable Robustness
Certified Causal Defense with Generalizable Robustness
Yiran Qiao
Yu Yin
Chen Chen
Jing Ma
AAML
OOD
CML
63
0
0
28 Aug 2024
JacNet: Learning Functions with Structured Jacobians
JacNet: Learning Functions with Structured Jacobians
Jonathan Lorraine
Safwan Hossain
48
6
0
23 Aug 2024
Parseval Convolution Operators and Neural Networks
Parseval Convolution Operators and Neural Networks
Michael Unser
Stanislas Ducotterd
25
3
0
19 Aug 2024
Hidden Synergy: $L_1$ Weight Normalization and 1-Path-Norm
  Regularization
Hidden Synergy: L1L_1L1​ Weight Normalization and 1-Path-Norm Regularization
Aditya Biswas
41
0
0
29 Apr 2024
Input Convex Lipschitz RNN: A Fast and Robust Approach for Engineering Tasks
Input Convex Lipschitz RNN: A Fast and Robust Approach for Engineering Tasks
Zihao Wang
Zhe Wu
25
3
0
15 Jan 2024
How Smooth Is Attention?
How Smooth Is Attention?
Valérie Castin
Pierre Ablin
Gabriel Peyré
AAML
40
9
0
22 Dec 2023
Spatial Bayesian Neural Networks
Spatial Bayesian Neural Networks
A. Zammit‐Mangion
Michael D. Kaminski
Ba-Hien Tran
Maurizio Filippone
Noel Cressie
BDL
18
7
0
16 Nov 2023
1-Lipschitz Neural Networks are more expressive with N-Activations
1-Lipschitz Neural Networks are more expressive with N-Activations
Bernd Prach
Christoph H. Lampert
AAML
FAtt
24
0
0
10 Nov 2023
Fair Wasserstein Coresets
Fair Wasserstein Coresets
Zikai Xiong
Niccolò Dalmasso
Shubham Sharma
Freddy Lecue
Daniele Magazzeni
Vamsi K. Potluru
T. Balch
Manuela Veloso
34
2
0
09 Nov 2023
Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities
Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities
Rahul Parhi
Michael Unser
47
5
0
05 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
Performance Scaling via Optimal Transport: Enabling Data Selection from
  Partially Revealed Sources
Performance Scaling via Optimal Transport: Enabling Data Selection from Partially Revealed Sources
Feiyang Kang
H. Just
Anit Kumar Sahu
R. Jia
61
10
0
05 Jul 2023
Finding Counterfactually Optimal Action Sequences in Continuous State
  Spaces
Finding Counterfactually Optimal Action Sequences in Continuous State Spaces
Stratis Tsirtsis
Manuel Gomez Rodriguez
CML
OffRL
30
9
0
06 Jun 2023
Robust low-rank training via approximate orthonormal constraints
Robust low-rank training via approximate orthonormal constraints
Dayana Savostianova
Emanuele Zangrando
Gianluca Ceruti
Francesco Tudisco
26
9
0
02 Jun 2023
PDE+: Enhancing Generalization via PDE with Adaptive Distributional
  Diffusion
PDE+: Enhancing Generalization via PDE with Adaptive Distributional Diffusion
Yige Yuan
Bingbing Xu
Bo Lin
Liang Hou
Fei Sun
Huawei Shen
Xueqi Cheng
DiffM
26
4
0
25 May 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
Lipschitz-bounded 1D convolutional neural networks using the Cayley
  transform and the controllability Gramian
Lipschitz-bounded 1D convolutional neural networks using the Cayley transform and the controllability Gramian
Patricia Pauli
Ruigang Wang
I. Manchester
Frank Allgöwer
32
8
0
20 Mar 2023
A Unified Algebraic Perspective on Lipschitz Neural Networks
A Unified Algebraic Perspective on Lipschitz Neural Networks
Alexandre Araujo
Aaron J. Havens
Blaise Delattre
A. Allauzen
Bin Hu
AAML
36
52
0
06 Mar 2023
Convolutional Neural Networks as 2-D systems
Convolutional Neural Networks as 2-D systems
Dennis Gramlich
Patricia Pauli
C. Scherer
Frank Allgöwer
C. Ebenbauer
3DV
36
8
0
06 Mar 2023
CQnet: convex-geometric interpretation and constraining neural-network
  trajectories
CQnet: convex-geometric interpretation and constraining neural-network trajectories
Bas Peters
35
0
0
09 Feb 2023
A Neural-Network-Based Convex Regularizer for Inverse Problems
A Neural-Network-Based Convex Regularizer for Inverse Problems
Alexis Goujon
Sebastian Neumayer
Pakshal Bohra
Stanislas Ducotterd
M. Unser
19
26
0
22 Nov 2022
Improved techniques for deterministic l2 robustness
Improved techniques for deterministic l2 robustness
Sahil Singla
S. Feizi
AAML
23
9
0
15 Nov 2022
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
Improving Lipschitz-Constrained Neural Networks by Learning Activation
  Functions
Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions
Stanislas Ducotterd
Alexis Goujon
Pakshal Bohra
Dimitris Perdios
Sebastian Neumayer
M. Unser
35
12
0
28 Oct 2022
Certified Training: Small Boxes are All You Need
Certified Training: Small Boxes are All You Need
Mark Niklas Muller
Franziska Eckert
Marc Fischer
Martin Vechev
AAML
39
45
0
10 Oct 2022
Dynamical systems' based neural networks
Dynamical systems' based neural networks
E. Celledoni
Davide Murari
B. Owren
Carola-Bibiane Schönlieb
Ferdia Sherry
OOD
46
12
0
05 Oct 2022
Finding NEEMo: Geometric Fitting using Neural Estimation of the Energy
  Mover's Distance
Finding NEEMo: Geometric Fitting using Neural Estimation of the Energy Mover's Distance
O. Kitouni
Niklas Nolte
Mike Williams
26
8
0
30 Sep 2022
Almost-Orthogonal Layers for Efficient General-Purpose Lipschitz
  Networks
Almost-Orthogonal Layers for Efficient General-Purpose Lipschitz Networks
Bernd Prach
Christoph H. Lampert
32
35
0
05 Aug 2022
On the Number of Regions of Piecewise Linear Neural Networks
On the Number of Regions of Piecewise Linear Neural Networks
Alexis Goujon
Arian Etemadi
M. Unser
44
13
0
17 Jun 2022
A Simple Approach to Improve Single-Model Deep Uncertainty via
  Distance-Awareness
A Simple Approach to Improve Single-Model Deep Uncertainty via Distance-Awareness
J. Liu
Shreyas Padhy
Jie Jessie Ren
Zi Lin
Yeming Wen
Ghassen Jerfel
Zachary Nado
Jasper Snoek
Dustin Tran
Balaji Lakshminarayanan
UQCV
BDL
26
48
0
01 May 2022
Approximation of Lipschitz Functions using Deep Spline Neural Networks
Approximation of Lipschitz Functions using Deep Spline Neural Networks
Sebastian Neumayer
Alexis Goujon
Pakshal Bohra
M. Unser
37
16
0
13 Apr 2022
Input Convex Gradient Networks
Input Convex Gradient Networks
Jack Richter-Powell
Jonathan Lorraine
Brandon Amos
14
15
0
23 Nov 2021
GraN-GAN: Piecewise Gradient Normalization for Generative Adversarial
  Networks
GraN-GAN: Piecewise Gradient Normalization for Generative Adversarial Networks
Vineeth S. Bhaskara
Tristan Aumentado-Armstrong
Allan D. Jepson
Alex Levinshtein
GAN
43
5
0
04 Nov 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
38
76
0
02 Nov 2021
Logical Activation Functions: Logit-space equivalents of Probabilistic
  Boolean Operators
Logical Activation Functions: Logit-space equivalents of Probabilistic Boolean Operators
S. Lowe
Robert C. Earle
Jason dÉon
Thomas Trappenberg
Sageev Oore
23
1
0
22 Oct 2021
Generative Modeling with Optimal Transport Maps
Generative Modeling with Optimal Transport Maps
Litu Rout
Alexander Korotin
Evgeny Burnaev
OT
DiffM
122
65
0
06 Oct 2021
CC-Cert: A Probabilistic Approach to Certify General Robustness of
  Neural Networks
CC-Cert: A Probabilistic Approach to Certify General Robustness of Neural Networks
Mikhail Aleksandrovich Pautov
Nurislam Tursynbek
Marina Munkhoeva
Nikita Muravev
Aleksandr Petiushko
Ivan Oseledets
AAML
52
16
0
22 Sep 2021
An automatic differentiation system for the age of differential privacy
An automatic differentiation system for the age of differential privacy
Dmitrii Usynin
Alexander Ziller
Moritz Knolle
Andrew Trask
Kritika Prakash
Daniel Rueckert
Georgios Kaissis
30
3
0
22 Sep 2021
Wasserstein Generative Adversarial Uncertainty Quantification in
  Physics-Informed Neural Networks
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks
Yihang Gao
Michael K. Ng
38
28
0
30 Aug 2021
Existence, Stability and Scalability of Orthogonal Convolutional Neural
  Networks
Existence, Stability and Scalability of Orthogonal Convolutional Neural Networks
E. M. Achour
Franccois Malgouyres
Franck Mamalet
16
20
0
12 Aug 2021
Spectral Normalisation for Deep Reinforcement Learning: an Optimisation
  Perspective
Spectral Normalisation for Deep Reinforcement Learning: an Optimisation Perspective
Florin Gogianu
Tudor Berariu
Mihaela Rosca
Claudia Clopath
L. Buşoniu
Razvan Pascanu
24
52
0
11 May 2021
Neural Network Robustness as a Verification Property: A Principled Case
  Study
Neural Network Robustness as a Verification Property: A Principled Case Study
Marco Casadio
Ekaterina Komendantskaya
M. Daggitt
Wen Kokke
Guy Katz
Guy Amir
Idan Refaeli
OOD
AAML
16
39
0
03 Apr 2021
12
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