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The Hidden Convex Optimization Landscape of Two-Layer ReLU Neural
  Networks: an Exact Characterization of the Optimal Solutions
v1v2v3v4 (latest)

The Hidden Convex Optimization Landscape of Two-Layer ReLU Neural Networks: an Exact Characterization of the Optimal Solutions

10 June 2020
Yifei Wang
Jonathan Lacotte
Mert Pilanci
    MLT
ArXiv (abs)PDFHTML

Papers citing "The Hidden Convex Optimization Landscape of Two-Layer ReLU Neural Networks: an Exact Characterization of the Optimal Solutions"

20 / 20 papers shown
Title
Spring-block theory of feature learning in deep neural networks
Spring-block theory of feature learning in deep neural networks
Chengzhi Shi
Liming Pan
Ivan Dokmanić
AI4CE
132
1
0
28 Jul 2024
The Real Tropical Geometry of Neural Networks
The Real Tropical Geometry of Neural Networks
Marie-Charlotte Brandenburg
Georg Loho
Guido Montúfar
119
8
0
18 Mar 2024
Loss Landscape of Shallow ReLU-like Neural Networks: Stationary Points, Saddle Escape, and Network Embedding
Loss Landscape of Shallow ReLU-like Neural Networks: Stationary Points, Saddle Escape, and Network Embedding
Zhengqing Wu
Berfin Simsek
Francois Ged
ODL
121
0
0
08 Feb 2024
Convex Relaxations of ReLU Neural Networks Approximate Global Optima in
  Polynomial Time
Convex Relaxations of ReLU Neural Networks Approximate Global Optima in Polynomial Time
Sungyoon Kim
Mert Pilanci
191
4
0
06 Feb 2024
The Convex Landscape of Neural Networks: Characterizing Global Optima
  and Stationary Points via Lasso Models
The Convex Landscape of Neural Networks: Characterizing Global Optima and Stationary Points via Lasso Models
Tolga Ergen
Mert Pilanci
56
2
0
19 Dec 2023
A qualitative difference between gradient flows of convex functions in
  finite- and infinite-dimensional Hilbert spaces
A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces
Jonathan W. Siegel
Stephan Wojtowytsch
51
3
0
26 Oct 2023
From Complexity to Clarity: Analytical Expressions of Deep Neural
  Network Weights via Clifford's Geometric Algebra and Convexity
From Complexity to Clarity: Analytical Expressions of Deep Neural Network Weights via Clifford's Geometric Algebra and Convexity
Mert Pilanci
74
2
0
28 Sep 2023
Fixing the NTK: From Neural Network Linearizations to Exact Convex
  Programs
Fixing the NTK: From Neural Network Linearizations to Exact Convex Programs
Rajat Vadiraj Dwaraknath
Tolga Ergen
Mert Pilanci
140
0
0
26 Sep 2023
Test-Time Training on Video Streams
Test-Time Training on Video Streams
Renhao Wang
Yu Sun
Yossi Gandelsman
Xinlei Chen
Alexei A. Efros
Alexei A. Efros
Xiaolong Wang
TTAViT3DGS
134
21
0
11 Jul 2023
On the Global Convergence of Natural Actor-Critic with Two-layer Neural
  Network Parametrization
On the Global Convergence of Natural Actor-Critic with Two-layer Neural Network Parametrization
Mudit Gaur
Amrit Singh Bedi
Di-di Wang
Vaneet Aggarwal
84
3
0
18 Jun 2023
Optimal Sets and Solution Paths of ReLU Networks
Optimal Sets and Solution Paths of ReLU Networks
Aaron Mishkin
Mert Pilanci
122
4
0
31 May 2023
Mildly Overparameterized ReLU Networks Have a Favorable Loss Landscape
Mildly Overparameterized ReLU Networks Have a Favorable Loss Landscape
Kedar Karhadkar
Michael Murray
Hanna Tseran
Guido Montúfar
53
8
0
31 May 2023
Penalising the biases in norm regularisation enforces sparsity
Penalising the biases in norm regularisation enforces sparsity
Etienne Boursier
Nicolas Flammarion
127
17
0
02 Mar 2023
On the Global Convergence of Fitted Q-Iteration with Two-layer Neural
  Network Parametrization
On the Global Convergence of Fitted Q-Iteration with Two-layer Neural Network Parametrization
Mudit Gaur
Vaneet Aggarwal
Mridul Agarwal
MLT
105
1
0
14 Nov 2022
PathProx: A Proximal Gradient Algorithm for Weight Decay Regularized
  Deep Neural Networks
PathProx: A Proximal Gradient Algorithm for Weight Decay Regularized Deep Neural Networks
Liu Yang
Jifan Zhang
Joseph Shenouda
Dimitris Papailiopoulos
Kangwook Lee
Robert D. Nowak
145
1
0
06 Oct 2022
A Combinatorial Perspective on the Optimization of Shallow ReLU Networks
A Combinatorial Perspective on the Optimization of Shallow ReLU Networks
Michael Matena
Colin Raffel
30
1
0
01 Oct 2022
Unraveling Attention via Convex Duality: Analysis and Interpretations of
  Vision Transformers
Unraveling Attention via Convex Duality: Analysis and Interpretations of Vision Transformers
Arda Sahiner
Tolga Ergen
Batu Mehmet Ozturkler
John M. Pauly
Morteza Mardani
Mert Pilanci
129
33
0
17 May 2022
Fast Convex Optimization for Two-Layer ReLU Networks: Equivalent Model Classes and Cone Decompositions
Fast Convex Optimization for Two-Layer ReLU Networks: Equivalent Model Classes and Cone Decompositions
Aaron Mishkin
Arda Sahiner
Mert Pilanci
OffRL
183
30
0
02 Feb 2022
Nonasymptotic theory for two-layer neural networks: Beyond the
  bias-variance trade-off
Nonasymptotic theory for two-layer neural networks: Beyond the bias-variance trade-off
Huiyuan Wang
Wei Lin
MLT
41
4
0
09 Jun 2021
Practical Convex Formulation of Robust One-hidden-layer Neural Network
  Training
Practical Convex Formulation of Robust One-hidden-layer Neural Network Training
Yatong Bai
Tanmay Gautam
Yujie Gai
Somayeh Sojoudi
AAML
91
3
0
25 May 2021
1