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Understanding Deep Neural Networks with Rectified Linear Units

Understanding Deep Neural Networks with Rectified Linear Units

4 November 2016
R. Arora
A. Basu
Poorya Mianjy
Anirbit Mukherjee
    PINN
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Papers citing "Understanding Deep Neural Networks with Rectified Linear Units"

50 / 100 papers shown
Title
On the Depth of Monotone ReLU Neural Networks and ICNNs
On the Depth of Monotone ReLU Neural Networks and ICNNs
Egor Bakaev
Florestan Brunck
Christoph Hertrich
Daniel Reichman
Amir Yehudayoff
26
1
0
09 May 2025
A Relative Homology Theory of Representation in Neural Networks
A Relative Homology Theory of Representation in Neural Networks
Kosio Beshkov
99
0
0
17 Feb 2025
An Invitation to Neuroalgebraic Geometry
An Invitation to Neuroalgebraic Geometry
G. Marchetti
V. Shahverdi
Stefano Mereta
Matthew Trager
Kathlén Kohn
119
2
0
31 Jan 2025
Neural Networks and (Virtual) Extended Formulations
Neural Networks and (Virtual) Extended Formulations
Christoph Hertrich
Georg Loho
78
3
0
05 Nov 2024
On the Complexity of Neural Computation in Superposition
On the Complexity of Neural Computation in Superposition
Micah Adler
Nir Shavit
120
3
0
05 Sep 2024
Mitigating Overconfidence in Out-of-Distribution Detection by Capturing
  Extreme Activations
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
Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces
Owen Davis
Gianluca Geraci
Mohammad Motamed
46
2
0
10 May 2024
Counting Like Transformers: Compiling Temporal Counting Logic Into
  Softmax Transformers
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
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$^k$ Activation
Expressivity and Approximation Properties of Deep Neural Networks with ReLUk^kk Activation
Juncai He
Tong Mao
Jinchao Xu
40
3
0
27 Dec 2023
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
34
1
0
07 Oct 2023
Frameless Graph Knowledge Distillation
Frameless Graph Knowledge Distillation
Dai Shi
Zhiqi Shao
Yi Guo
Junbin Gao
39
4
0
13 Jul 2023
Learning Prescriptive ReLU Networks
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
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
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
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
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
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
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
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
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
Non-Linear Coordination Graphs
Yipeng Kang
Tonghan Wang
Xiao-Ren Wu
Qianlan Yang
Chongjie Zhang
37
9
0
26 Oct 2022
Precision Machine Learning
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
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
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
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
PulseDL-II: A System-on-Chip Neural Network Accelerator for Timing and Energy Extraction of Nuclear Detector Signals
P. Ai
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
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
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 $\exists\mathbb{R}$-Complete
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
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
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
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
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
De Rham compatible Deep Neural Network FEM
M. Longo
J. Opschoor
Nico Disch
Christoph Schwab
Jakob Zech
22
8
0
14 Jan 2022
Measuring Complexity of Learning Schemes Using Hessian-Schatten Total
  Variation
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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