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Globally Optimal Gradient Descent for a ConvNet with Gaussian Inputs

Globally Optimal Gradient Descent for a ConvNet with Gaussian Inputs

26 February 2017
Alon Brutzkus
Amir Globerson
    MLT
ArXivPDFHTML

Papers citing "Globally Optimal Gradient Descent for a ConvNet with Gaussian Inputs"

50 / 87 papers shown
Title
Mean of Means: A 10-dollar Solution for Human Localization with Calibration-free and Unconstrained Camera Settings
Mean of Means: A 10-dollar Solution for Human Localization with Calibration-free and Unconstrained Camera Settings
Tianyi Zhang
Wengyu Zhang
Xu-Lu Zhang
Jiaxin Wu
Xiao Wei
Jiannong Cao
Qing Li
37
0
0
28 Jan 2025
Near-Optimal Solutions of Constrained Learning Problems
Near-Optimal Solutions of Constrained Learning Problems
Juan Elenter
Luiz F. O. Chamon
Alejandro Ribeiro
26
5
0
18 Mar 2024
Resilient Constrained Learning
Resilient Constrained Learning
Ignacio Hounie
Alejandro Ribeiro
Luiz F. O. Chamon
29
10
0
04 Jun 2023
Over-Parameterization Exponentially Slows Down Gradient Descent for
  Learning a Single Neuron
Over-Parameterization Exponentially Slows Down Gradient Descent for Learning a Single Neuron
Weihang Xu
S. Du
37
16
0
20 Feb 2023
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Yossi Arjevani
M. Field
16
8
0
12 Oct 2022
Towards Theoretically Inspired Neural Initialization Optimization
Towards Theoretically Inspired Neural Initialization Optimization
Yibo Yang
Hong Wang
Haobo Yuan
Zhouchen Lin
21
9
0
12 Oct 2022
Neural Networks Efficiently Learn Low-Dimensional Representations with
  SGD
Neural Networks Efficiently Learn Low-Dimensional Representations with SGD
Alireza Mousavi-Hosseini
Sejun Park
M. Girotti
Ioannis Mitliagkas
Murat A. Erdogdu
MLT
324
48
0
29 Sep 2022
Magnitude and Angle Dynamics in Training Single ReLU Neurons
Magnitude and Angle Dynamics in Training Single ReLU Neurons
Sangmin Lee
Byeongsu Sim
Jong Chul Ye
MLT
96
6
0
27 Sep 2022
Implicit Full Waveform Inversion with Deep Neural Representation
Implicit Full Waveform Inversion with Deep Neural Representation
Jian Sun
K. Innanen
AI4CE
40
32
0
08 Sep 2022
Local Identifiability of Deep ReLU Neural Networks: the Theory
Local Identifiability of Deep ReLU Neural Networks: the Theory
Joachim Bona-Pellissier
Franccois Malgouyres
F. Bachoc
FAtt
67
6
0
15 Jun 2022
The Mechanism of Prediction Head in Non-contrastive Self-supervised
  Learning
The Mechanism of Prediction Head in Non-contrastive Self-supervised Learning
Zixin Wen
Yuanzhi Li
SSL
27
34
0
12 May 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
Hardness of Noise-Free Learning for Two-Hidden-Layer Neural Networks
Hardness of Noise-Free Learning for Two-Hidden-Layer Neural Networks
Sitan Chen
Aravind Gollakota
Adam R. Klivans
Raghu Meka
24
30
0
10 Feb 2022
How does unlabeled data improve generalization in self-training? A
  one-hidden-layer theoretical analysis
How does unlabeled data improve generalization in self-training? A one-hidden-layer theoretical analysis
Shuai Zhang
Hao Wu
Sijia Liu
Pin-Yu Chen
Jinjun Xiong
SSL
MLT
41
22
0
21 Jan 2022
Low-Pass Filtering SGD for Recovering Flat Optima in the Deep Learning
  Optimization Landscape
Low-Pass Filtering SGD for Recovering Flat Optima in the Deep Learning Optimization Landscape
Devansh Bisla
Jing Wang
A. Choromańska
25
34
0
20 Jan 2022
Separation of Scales and a Thermodynamic Description of Feature Learning
  in Some CNNs
Separation of Scales and a Thermodynamic Description of Feature Learning in Some CNNs
Inbar Seroussi
Gadi Naveh
Zohar Ringel
35
51
0
31 Dec 2021
Parameter identifiability of a deep feedforward ReLU neural network
Parameter identifiability of a deep feedforward ReLU neural network
Joachim Bona-Pellissier
François Bachoc
François Malgouyres
41
15
0
24 Dec 2021
Subquadratic Overparameterization for Shallow Neural Networks
Subquadratic Overparameterization for Shallow Neural Networks
Chaehwan Song
Ali Ramezani-Kebrya
Thomas Pethick
Armin Eftekhari
V. Cevher
30
31
0
02 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
32
16
0
18 Oct 2021
Why Lottery Ticket Wins? A Theoretical Perspective of Sample Complexity
  on Pruned Neural Networks
Why Lottery Ticket Wins? A Theoretical Perspective of Sample Complexity on Pruned Neural Networks
Shuai Zhang
Meng Wang
Sijia Liu
Pin-Yu Chen
Jinjun Xiong
UQCV
MLT
31
13
0
12 Oct 2021
Global Optimality Beyond Two Layers: Training Deep ReLU Networks via
  Convex Programs
Global Optimality Beyond Two Layers: Training Deep ReLU Networks via Convex Programs
Tolga Ergen
Mert Pilanci
OffRL
MLT
32
33
0
11 Oct 2021
Analytic Study of Families of Spurious Minima in Two-Layer ReLU Neural
  Networks: A Tale of Symmetry II
Analytic Study of Families of Spurious Minima in Two-Layer ReLU Neural Networks: A Tale of Symmetry II
Yossi Arjevani
M. Field
28
18
0
21 Jul 2021
Toward Understanding the Feature Learning Process of Self-supervised
  Contrastive Learning
Toward Understanding the Feature Learning Process of Self-supervised Contrastive Learning
Zixin Wen
Yuanzhi Li
SSL
MLT
32
131
0
31 May 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
27
3
0
25 May 2021
Understanding self-supervised Learning Dynamics without Contrastive
  Pairs
Understanding self-supervised Learning Dynamics without Contrastive Pairs
Yuandong Tian
Xinlei Chen
Surya Ganguli
SSL
138
281
0
12 Feb 2021
From Local Pseudorandom Generators to Hardness of Learning
From Local Pseudorandom Generators to Hardness of Learning
Amit Daniely
Gal Vardi
109
30
0
20 Jan 2021
A Convergence Theory Towards Practical Over-parameterized Deep Neural
  Networks
A Convergence Theory Towards Practical Over-parameterized Deep Neural Networks
Asaf Noy
Yi Tian Xu
Y. Aflalo
Lihi Zelnik-Manor
R. L. Jin
39
3
0
12 Jan 2021
Towards Understanding Ensemble, Knowledge Distillation and
  Self-Distillation in Deep Learning
Towards Understanding Ensemble, Knowledge Distillation and Self-Distillation in Deep Learning
Zeyuan Allen-Zhu
Yuanzhi Li
FedML
60
355
0
17 Dec 2020
Learning Graph Neural Networks with Approximate Gradient Descent
Learning Graph Neural Networks with Approximate Gradient Descent
Qunwei Li
Shaofeng Zou
Leon Wenliang Zhong
GNN
32
1
0
07 Dec 2020
Align, then memorise: the dynamics of learning with feedback alignment
Align, then memorise: the dynamics of learning with feedback alignment
Maria Refinetti
Stéphane dÁscoli
Ruben Ohana
Sebastian Goldt
26
36
0
24 Nov 2020
Computational Separation Between Convolutional and Fully-Connected
  Networks
Computational Separation Between Convolutional and Fully-Connected Networks
Eran Malach
Shai Shalev-Shwartz
24
26
0
03 Oct 2020
Learning Deep ReLU Networks Is Fixed-Parameter Tractable
Learning Deep ReLU Networks Is Fixed-Parameter Tractable
Sitan Chen
Adam R. Klivans
Raghu Meka
22
36
0
28 Sep 2020
Generalized Leverage Score Sampling for Neural Networks
Generalized Leverage Score Sampling for Neural Networks
J. Lee
Ruoqi Shen
Zhao Song
Mengdi Wang
Zheng Yu
21
42
0
21 Sep 2020
Nonparametric Learning of Two-Layer ReLU Residual Units
Nonparametric Learning of Two-Layer ReLU Residual Units
Zhunxuan Wang
Linyun He
Chunchuan Lyu
Shay B. Cohen
MLT
OffRL
33
1
0
17 Aug 2020
From Boltzmann Machines to Neural Networks and Back Again
From Boltzmann Machines to Neural Networks and Back Again
Surbhi Goel
Adam R. Klivans
Frederic Koehler
19
5
0
25 Jul 2020
Probably Approximately Correct Constrained Learning
Probably Approximately Correct Constrained Learning
Luiz F. O. Chamon
Alejandro Ribeiro
22
37
0
09 Jun 2020
Feature Purification: How Adversarial Training Performs Robust Deep
  Learning
Feature Purification: How Adversarial Training Performs Robust Deep Learning
Zeyuan Allen-Zhu
Yuanzhi Li
MLT
AAML
37
147
0
20 May 2020
Symmetry & critical points for a model shallow neural network
Symmetry & critical points for a model shallow neural network
Yossi Arjevani
M. Field
34
13
0
23 Mar 2020
An Optimization and Generalization Analysis for Max-Pooling Networks
An Optimization and Generalization Analysis for Max-Pooling Networks
Alon Brutzkus
Amir Globerson
MLT
AI4CE
16
4
0
22 Feb 2020
Convergence of End-to-End Training in Deep Unsupervised Contrastive
  Learning
Convergence of End-to-End Training in Deep Unsupervised Contrastive Learning
Zixin Wen
SSL
21
2
0
17 Feb 2020
Revisiting Landscape Analysis in Deep Neural Networks: Eliminating
  Decreasing Paths to Infinity
Revisiting Landscape Analysis in Deep Neural Networks: Eliminating Decreasing Paths to Infinity
Shiyu Liang
Ruoyu Sun
R. Srikant
35
19
0
31 Dec 2019
Optimization for deep learning: theory and algorithms
Optimization for deep learning: theory and algorithms
Ruoyu Sun
ODL
25
168
0
19 Dec 2019
Denoising and Regularization via Exploiting the Structural Bias of
  Convolutional Generators
Denoising and Regularization via Exploiting the Structural Bias of Convolutional Generators
Reinhard Heckel
Mahdi Soltanolkotabi
DiffM
35
81
0
31 Oct 2019
The Local Elasticity of Neural Networks
The Local Elasticity of Neural Networks
Hangfeng He
Weijie J. Su
40
44
0
15 Oct 2019
Theoretical Issues in Deep Networks: Approximation, Optimization and
  Generalization
Theoretical Issues in Deep Networks: Approximation, Optimization and Generalization
T. Poggio
Andrzej Banburski
Q. Liao
ODL
31
161
0
25 Aug 2019
What Can ResNet Learn Efficiently, Going Beyond Kernels?
What Can ResNet Learn Efficiently, Going Beyond Kernels?
Zeyuan Allen-Zhu
Yuanzhi Li
24
183
0
24 May 2019
Gradient Descent can Learn Less Over-parameterized Two-layer Neural
  Networks on Classification Problems
Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems
Atsushi Nitanda
Geoffrey Chinot
Taiji Suzuki
MLT
16
33
0
23 May 2019
Fine-grained Optimization of Deep Neural Networks
Fine-grained Optimization of Deep Neural Networks
Mete Ozay
ODL
14
1
0
22 May 2019
Every Local Minimum Value is the Global Minimum Value of Induced Model
  in Non-convex Machine Learning
Every Local Minimum Value is the Global Minimum Value of Induced Model in Non-convex Machine Learning
Kenji Kawaguchi
Jiaoyang Huang
L. Kaelbling
AAML
24
18
0
07 Apr 2019
Fine-Grained Analysis of Optimization and Generalization for
  Overparameterized Two-Layer Neural Networks
Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks
Sanjeev Arora
S. Du
Wei Hu
Zhiyuan Li
Ruosong Wang
MLT
55
961
0
24 Jan 2019
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