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Complexity of Linear Regions in Deep Networks
v1v2 (latest)

Complexity of Linear Regions in Deep Networks

25 January 2019
Boris Hanin
David Rolnick
ArXiv (abs)PDFHTML

Papers citing "Complexity of Linear Regions in Deep Networks"

32 / 132 papers shown
Title
How Neural Networks Extrapolate: From Feedforward to Graph Neural
  Networks
How Neural Networks Extrapolate: From Feedforward to Graph Neural NetworksInternational Conference on Learning Representations (ICLR), 2020
Keyulu Xu
Mozhi Zhang
Jingling Li
S. Du
Ken-ichi Kawarabayashi
Stefanie Jegelka
MLT
735
346
0
24 Sep 2020
Theoretical Analysis of the Advantage of Deepening Neural Networks
Theoretical Analysis of the Advantage of Deepening Neural NetworksInternational Conference on Machine Learning and Applications (ICMLA), 2020
Yasushi Esaki
Yuta Nakahara
Toshiyasu Matsushima
54
0
0
24 Sep 2020
On transversality of bent hyperplane arrangements and the topological
  expressiveness of ReLU neural networks
On transversality of bent hyperplane arrangements and the topological expressiveness of ReLU neural networks
J. E. Grigsby
Kathryn A. Lindsey
222
34
0
20 Aug 2020
When Hardness of Approximation Meets Hardness of Learning
When Hardness of Approximation Meets Hardness of Learning
Eran Malach
Shai Shalev-Shwartz
140
10
0
18 Aug 2020
Bounding The Number of Linear Regions in Local Area for Neural Networks
  with ReLU Activations
Bounding The Number of Linear Regions in Local Area for Neural Networks with ReLU Activations
Rui Zhu
Bo Lin
Haixu Tang
MLT
101
5
0
14 Jul 2020
How benign is benign overfitting?
How benign is benign overfitting?International Conference on Learning Representations (ICLR), 2020
Amartya Sanyal
P. Dokania
Varun Kanade
Juil Sock
NoLaAAML
170
59
0
08 Jul 2020
Liquid Time-constant Networks
Liquid Time-constant Networks
Ramin Hasani
Mathias Lechner
Alexander Amini
Daniela Rus
Radu Grosu
AI4TSAI4CE
316
326
0
08 Jun 2020
On the Number of Linear Regions of Convolutional Neural Networks
On the Number of Linear Regions of Convolutional Neural NetworksInternational Conference on Machine Learning (ICML), 2020
Huan Xiong
Lei Huang
Mengyang Yu
Li Liu
Fan Zhu
Ling Shao
MLT
251
72
0
01 Jun 2020
Provably Good Solutions to the Knapsack Problem via Neural Networks of
  Bounded Size
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded SizeAAAI Conference on Artificial Intelligence (AAAI), 2020
Christoph Hertrich
M. Skutella
339
27
0
28 May 2020
Moment-Based Domain Adaptation: Learning Bounds and Algorithms
Moment-Based Domain Adaptation: Learning Bounds and Algorithms
Werner Zellinger
OOD
135
6
0
22 Apr 2020
Piecewise linear activations substantially shape the loss surfaces of
  neural networks
Piecewise linear activations substantially shape the loss surfaces of neural networksInternational Conference on Learning Representations (ICLR), 2020
Fengxiang He
Bohan Wang
Dacheng Tao
ODL
178
33
0
27 Mar 2020
Deep Networks as Logical Circuits: Generalization and Interpretation
Deep Networks as Logical Circuits: Generalization and Interpretation
Christopher Snyder
S. Vishwanath
FAttAI4CE
99
2
0
25 Mar 2020
Hyperplane Arrangements of Trained ConvNets Are Biased
Hyperplane Arrangements of Trained ConvNets Are Biased
Matteo Gamba
S. Carlsson
Hossein Azizpour
Mårten Björkman
93
5
0
17 Mar 2020
Reachability Analysis for Feed-Forward Neural Networks using Face
  Lattices
Reachability Analysis for Feed-Forward Neural Networks using Face Lattices
Xiaodong Yang
Hoang-Dung Tran
Weiming Xiang
Taylor Johnson
CVBM
177
19
0
02 Mar 2020
Uncertainty Quantification for Sparse Deep Learning
Uncertainty Quantification for Sparse Deep LearningInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Yuexi Wang
Veronika Rockova
BDLUQCV
277
34
0
26 Feb 2020
Investigating the Compositional Structure Of Deep Neural Networks
Investigating the Compositional Structure Of Deep Neural NetworksInternational Conference on Machine Learning, Optimization, and Data Science (MOD), 2020
Francesco Craighero
Fabrizio Angaroni
Alex Graudenzi
Fabio Stella
M. Antoniotti
FAtt
136
5
0
17 Feb 2020
Self-explaining AI as an alternative to interpretable AI
Self-explaining AI as an alternative to interpretable AIArtificial General Intelligence (AGI), 2020
Daniel C. Elton
476
63
0
12 Feb 2020
Empirical Studies on the Properties of Linear Regions in Deep Neural
  Networks
Empirical Studies on the Properties of Linear Regions in Deep Neural NetworksInternational Conference on Learning Representations (ICLR), 2020
Xiao Zhang
Dongrui Wu
240
39
0
04 Jan 2020
Lossless Compression of Deep Neural Networks
Lossless Compression of Deep Neural NetworksIntegration of AI and OR Techniques in Constraint Programming (CPAIOR), 2020
Thiago Serra
Abhinav Kumar
Srikumar Ramalingam
488
61
0
01 Jan 2020
Trajectory growth lower bounds for random sparse deep ReLU networks
Trajectory growth lower bounds for random sparse deep ReLU networksInternational Conference on Machine Learning and Applications (ICMLA), 2019
Ilan Price
Jared Tanner
124
5
0
25 Nov 2019
The Local Elasticity of Neural Networks
The Local Elasticity of Neural NetworksInternational Conference on Learning Representations (ICLR), 2019
Hangfeng He
Weijie J. Su
298
51
0
15 Oct 2019
Interpreting Deep Learning-Based Networking Systems
Interpreting Deep Learning-Based Networking Systems
Zili Meng
Minhu Wang
Jia-Ju Bai
Mingwei Xu
Hongzi Mao
Hongxin Hu
AI4CE
166
3
0
09 Oct 2019
Reverse-Engineering Deep ReLU Networks
Reverse-Engineering Deep ReLU NetworksInternational Conference on Machine Learning (ICML), 2019
David Rolnick
Konrad Paul Kording
230
114
0
02 Oct 2019
Optimal Function Approximation with Relu Neural Networks
Optimal Function Approximation with Relu Neural Networks
Bo Liu
Yi Liang
103
38
0
09 Sep 2019
Computing Linear Restrictions of Neural Networks
Computing Linear Restrictions of Neural NetworksNeural Information Processing Systems (NeurIPS), 2019
Matthew Sotoudeh
Aditya V. Thakur
130
24
0
17 Aug 2019
Gradient Dynamics of Shallow Univariate ReLU Networks
Gradient Dynamics of Shallow Univariate ReLU NetworksNeural Information Processing Systems (NeurIPS), 2019
Francis Williams
Matthew Trager
Claudio Silva
Daniele Panozzo
Denis Zorin
Joan Bruna
142
84
0
18 Jun 2019
Deep ReLU Networks Have Surprisingly Few Activation Patterns
Deep ReLU Networks Have Surprisingly Few Activation PatternsNeural Information Processing Systems (NeurIPS), 2019
Boris Hanin
David Rolnick
443
248
0
03 Jun 2019
Implicit Rugosity Regularization via Data Augmentation
Implicit Rugosity Regularization via Data Augmentation
Daniel LeJeune
Randall Balestriero
Hamid Javadi
Richard G. Baraniuk
210
4
0
28 May 2019
Expression of Fractals Through Neural Network Functions
Expression of Fractals Through Neural Network FunctionsIEEE Journal on Selected Areas in Information Theory (JSAIT), 2019
Nadav Dym
B. Sober
Ingrid Daubechies
137
15
0
27 May 2019
The Geometry of Deep Networks: Power Diagram Subdivision
The Geometry of Deep Networks: Power Diagram SubdivisionNeural Information Processing Systems (NeurIPS), 2019
Randall Balestriero
Romain Cosentino
B. Aazhang
Richard Baraniuk
AI4CE
185
67
0
21 May 2019
On functions computed on trees
On functions computed on trees
Roozbeh Farhoodi
Khashayar Filom
I. Jones
Konrad Paul Kording
PINN
228
5
0
04 Apr 2019
Empirical Bounds on Linear Regions of Deep Rectifier Networks
Empirical Bounds on Linear Regions of Deep Rectifier Networks
Thiago Serra
Srikumar Ramalingam
292
44
0
08 Oct 2018
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