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1611.01491
Cited By
Understanding Deep Neural Networks with Rectified Linear Units
4 November 2016
R. Arora
A. Basu
Poorya Mianjy
Anirbit Mukherjee
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Papers citing
"Understanding Deep Neural Networks with Rectified Linear Units"
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Title
On the Depth of Monotone ReLU Neural Networks and ICNNs
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09 May 2025
A Relative Homology Theory of Representation in Neural Networks
Kosio Beshkov
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17 Feb 2025
An Invitation to Neuroalgebraic Geometry
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V. Shahverdi
Stefano Mereta
Matthew Trager
Kathlén Kohn
119
2
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31 Jan 2025
Neural Networks and (Virtual) Extended Formulations
Christoph Hertrich
Georg Loho
78
3
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05 Nov 2024
On the Complexity of Neural Computation in Superposition
Micah Adler
Nir Shavit
123
3
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05 Sep 2024
Mitigating Overconfidence in Out-of-Distribution Detection by Capturing Extreme Activations
Mohammad Azizmalayeri
Ameen Abu-Hanna
Giovanni Cina
OODD
47
1
0
21 May 2024
Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces
Owen Davis
Gianluca Geraci
Mohammad Motamed
46
2
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10 May 2024
Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers
Andy Yang
David Chiang
41
8
0
05 Apr 2024
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Yuxiao Wen
Arthur Jacot
60
6
0
12 Feb 2024
Expressivity and Approximation Properties of Deep Neural Networks with ReLU
k
^k
k
Activation
Juncai He
Tong Mao
Jinchao Xu
43
3
0
27 Dec 2023
Tight Certified Robustness via Min-Max Representations of ReLU Neural Networks
Brendon G. Anderson
Samuel Pfrommer
Somayeh Sojoudi
OOD
34
1
0
07 Oct 2023
Frameless Graph Knowledge Distillation
Dai Shi
Zhiqi Shao
Yi Guo
Junbin Gao
39
4
0
13 Jul 2023
Learning Prescriptive ReLU Networks
Wei-Ju Sun
Asterios Tsiourvas
21
2
0
01 Jun 2023
Bottleneck Structure in Learned Features: Low-Dimension vs Regularity Tradeoff
Arthur Jacot
MLT
26
13
0
30 May 2023
When Deep Learning Meets Polyhedral Theory: A Survey
Joey Huchette
Gonzalo Muñoz
Thiago Serra
Calvin Tsay
AI4CE
94
32
0
29 Apr 2023
The Power of Typed Affine Decision Structures: A Case Study
Gerrit Nolte
Maximilian Schlüter
Alnis Murtovi
Bernhard Steffen
AAML
20
3
0
28 Apr 2023
VIPeR: Provably Efficient Algorithm for Offline RL with Neural Function Approximation
Thanh Nguyen-Tang
R. Arora
OffRL
46
5
0
24 Feb 2023
Lower Bounds on the Depth of Integral ReLU Neural Networks via Lattice Polytopes
Christian Haase
Christoph Hertrich
Georg Loho
34
22
0
24 Feb 2023
Towards Rigorous Understanding of Neural Networks via Semantics-preserving Transformations
Maximilian Schlüter
Gerrit Nolte
Alnis Murtovi
Bernhard Steffen
29
6
0
19 Jan 2023
Getting Away with More Network Pruning: From Sparsity to Geometry and Linear Regions
Junyang Cai
Khai-Nguyen Nguyen
Nishant Shrestha
Aidan Good
Ruisen Tu
Xin Yu
Shandian Zhe
Thiago Serra
MLT
40
7
0
19 Jan 2023
Impossibility Theorems for Feature Attribution
Blair Bilodeau
Natasha Jaques
Pang Wei Koh
Been Kim
FAtt
20
68
0
22 Dec 2022
Non-Linear Coordination Graphs
Yipeng Kang
Tonghan Wang
Xiao-Ren Wu
Qianlan Yang
Chongjie Zhang
37
9
0
26 Oct 2022
Precision Machine Learning
Eric J. Michaud
Ziming Liu
Max Tegmark
24
34
0
24 Oct 2022
Improved Bounds on Neural Complexity for Representing Piecewise Linear Functions
Kuan-Lin Chen
H. Garudadri
Bhaskar D. Rao
11
19
0
13 Oct 2022
Implicit Bias of Large Depth Networks: a Notion of Rank for Nonlinear Functions
Arthur Jacot
36
25
0
29 Sep 2022
Why neural networks find simple solutions: the many regularizers of geometric complexity
Benoit Dherin
Michael Munn
M. Rosca
David Barrett
57
31
0
27 Sep 2022
PulseDL-II: A System-on-Chip Neural Network Accelerator for Timing and Energy Extraction of Nuclear Detector Signals
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Z. Deng
Yi Wang
H. Gong
Xinchi Ran
Z. Lang
13
2
0
02 Sep 2022
On the Number of Regions of Piecewise Linear Neural Networks
Alexis Goujon
Arian Etemadi
M. Unser
44
13
0
17 Jun 2022
Robust stabilization of polytopic systems via fast and reliable neural network-based approximations
F. Fabiani
Paul Goulart
22
5
0
27 Apr 2022
Training Fully Connected Neural Networks is
∃
R
\exists\mathbb{R}
∃
R
-Complete
Daniel Bertschinger
Christoph Hertrich
Paul Jungeblut
Tillmann Miltzow
Simon Weber
OffRL
61
30
0
04 Apr 2022
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation
Josiah Park
Stephan Wojtowytsch
26
1
0
25 Mar 2022
The Combinatorial Brain Surgeon: Pruning Weights That Cancel One Another in Neural Networks
Xin Yu
Thiago Serra
Srikumar Ramalingam
Shandian Zhe
42
48
0
09 Mar 2022
Neural network approach to reconstructing spectral functions and complex poles of confined particles
Thibault Lechien
D. Dudal
11
9
0
07 Mar 2022
Training Thinner and Deeper Neural Networks: Jumpstart Regularization
Carles Roger Riera Molina
Camilo Rey
Thiago Serra
Eloi Puertas
O. Pujol
27
4
0
30 Jan 2022
De Rham compatible Deep Neural Network FEM
M. Longo
J. Opschoor
Nico Disch
Christoph Schwab
Jakob Zech
25
8
0
14 Jan 2022
Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation
Shayan Aziznejad
Joaquim Campos
M. Unser
27
9
0
12 Dec 2021
Unsupervised Representation Learning via Neural Activation Coding
Yookoon Park
Sangho Lee
Gunhee Kim
David M. Blei
SSL
23
8
0
07 Dec 2021
Tailored neural networks for learning optimal value functions in MPC
Dieter Teichrib
M. S. Darup
34
4
0
07 Dec 2021
The Geometric Occam's Razor Implicit in Deep Learning
Benoit Dherin
Micheal Munn
David Barrett
22
6
0
30 Nov 2021
Neural networks with linear threshold activations: structure and algorithms
Sammy Khalife
Hongyu Cheng
A. Basu
42
14
0
15 Nov 2021
Availability Attacks Create Shortcuts
Da Yu
Huishuai Zhang
Wei Chen
Jian Yin
Tie-Yan Liu
AAML
31
57
0
01 Nov 2021
Graph Posterior Network: Bayesian Predictive Uncertainty for Node Classification
Maximilian Stadler
Bertrand Charpentier
Simon Geisler
Daniel Zügner
Stephan Günnemann
UQCV
BDL
41
81
0
26 Oct 2021
Expressivity of Neural Networks via Chaotic Itineraries beyond Sharkovsky's Theorem
Clayton Sanford
Vaggos Chatziafratis
16
1
0
19 Oct 2021
Path Regularization: A Convexity and Sparsity Inducing Regularization for Parallel ReLU Networks
Tolga Ergen
Mert Pilanci
32
16
0
18 Oct 2021
Sound and Complete Neural Network Repair with Minimality and Locality Guarantees
Feisi Fu
Wenchao Li
KELM
AAML
41
26
0
14 Oct 2021
Multi-Head ReLU Implicit Neural Representation Networks
Arya Aftab
Alireza Morsali
42
11
0
07 Oct 2021
Activation Functions in Deep Learning: A Comprehensive Survey and Benchmark
S. Dubey
S. Singh
B. B. Chaudhuri
41
643
0
29 Sep 2021
PI3NN: Out-of-distribution-aware prediction intervals from three neural networks
Si-Yuan Liu
Pei Zhang
Dan Lu
Guannan Zhang
OODD
22
10
0
05 Aug 2021
Mitigating severe over-parameterization in deep convolutional neural networks through forced feature abstraction and compression with an entropy-based heuristic
Nidhi Gowdra
R. Sinha
Stephen G. MacDonell
W. Yan
21
9
0
27 Jun 2021
Provably Robust Detection of Out-of-distribution Data (almost) for free
Alexander Meinke
Julian Bitterwolf
Matthias Hein
OODD
33
22
0
08 Jun 2021
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