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Convex Geometry and Duality of Over-parameterized Neural Networks

Convex Geometry and Duality of Over-parameterized Neural Networks

25 February 2020
Tolga Ergen
Mert Pilanci
    MLT
ArXivPDFHTML

Papers citing "Convex Geometry and Duality of Over-parameterized Neural Networks"

12 / 12 papers shown
Title
The Effects of Multi-Task Learning on ReLU Neural Network Functions
The Effects of Multi-Task Learning on ReLU Neural Network Functions
Julia B. Nakhleh
Joseph Shenouda
Robert D. Nowak
32
1
0
29 Oct 2024
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
91
32
0
29 Apr 2023
Convex Dual Theory Analysis of Two-Layer Convolutional Neural Networks
  with Soft-Thresholding
Convex Dual Theory Analysis of Two-Layer Convolutional Neural Networks with Soft-Thresholding
Chunyan Xiong
Meng Lu
Xiaotong Yu
JIAN-PENG Cao
Zhong Chen
D. Guo
X. Qu
MLT
35
0
0
14 Apr 2023
On the Implicit Bias in Deep-Learning Algorithms
On the Implicit Bias in Deep-Learning Algorithms
Gal Vardi
FedML
AI4CE
30
72
0
26 Aug 2022
On the Effective Number of Linear Regions in Shallow Univariate ReLU
  Networks: Convergence Guarantees and Implicit Bias
On the Effective Number of Linear Regions in Shallow Univariate ReLU Networks: Convergence Guarantees and Implicit Bias
Itay Safran
Gal Vardi
Jason D. Lee
MLT
51
23
0
18 May 2022
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks
Mean-field Analysis of Piecewise Linear Solutions for Wide ReLU Networks
A. Shevchenko
Vyacheslav Kungurtsev
Marco Mondelli
MLT
36
13
0
03 Nov 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
24
16
0
18 Oct 2021
The Convex Geometry of Backpropagation: Neural Network Gradient Flows
  Converge to Extreme Points of the Dual Convex Program
The Convex Geometry of Backpropagation: Neural Network Gradient Flows Converge to Extreme Points of the Dual Convex Program
Yifei Wang
Mert Pilanci
MLT
MDE
47
11
0
13 Oct 2021
Parallel Deep Neural Networks Have Zero Duality Gap
Parallel Deep Neural Networks Have Zero Duality Gap
Yifei Wang
Tolga Ergen
Mert Pilanci
79
10
0
13 Oct 2021
On Margin Maximization in Linear and ReLU Networks
On Margin Maximization in Linear and ReLU Networks
Gal Vardi
Ohad Shamir
Nathan Srebro
45
28
0
06 Oct 2021
Supervising the Decoder of Variational Autoencoders to Improve
  Scientific Utility
Supervising the Decoder of Variational Autoencoders to Improve Scientific Utility
Liyun Tu
Austin Talbot
Neil Gallagher
David Carlson
DRL
19
2
0
09 Sep 2021
Neural Networks are Convex Regularizers: Exact Polynomial-time Convex
  Optimization Formulations for Two-layer Networks
Neural Networks are Convex Regularizers: Exact Polynomial-time Convex Optimization Formulations for Two-layer Networks
Mert Pilanci
Tolga Ergen
13
116
0
24 Feb 2020
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