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A Geometric Analysis of Neural Collapse with Unconstrained Features

A Geometric Analysis of Neural Collapse with Unconstrained Features

6 May 2021
Zhihui Zhu
Tianyu Ding
Jinxin Zhou
Xiao Li
Chong You
Jeremias Sulam
Qing Qu
ArXiv (abs)PDFHTML

Papers citing "A Geometric Analysis of Neural Collapse with Unconstrained Features"

49 / 149 papers shown
Title
Feature Collapse
Feature Collapse
T. Laurent
J. V. Brecht
Xavier Bresson
75
3
0
25 May 2023
Deep Neural Collapse Is Provably Optimal for the Deep Unconstrained
  Features Model
Deep Neural Collapse Is Provably Optimal for the Deep Unconstrained Features Model
Peter Súkeník
Marco Mondelli
Christoph H. Lampert
63
27
0
22 May 2023
Towards understanding neural collapse in supervised contrastive learning
  with the information bottleneck method
Towards understanding neural collapse in supervised contrastive learning with the information bottleneck method
Siwei Wang
S. Palmer
104
2
0
19 May 2023
A Study of Neural Collapse Phenomenon: Grassmannian Frame, Symmetry and
  Generalization
A Study of Neural Collapse Phenomenon: Grassmannian Frame, Symmetry and Generalization
Peifeng Gao
Qianqian Xu
Peisong Wen
Huiyang Shao
Zhiyong Yang
Qingming Huang
71
6
0
18 Apr 2023
Neural Collapse Inspired Federated Learning with Non-iid Data
Neural Collapse Inspired Federated Learning with Non-iid Data
Chenxi Huang
Liang Xie
Yibo Yang
Wenxiao Wang
Binbin Lin
D. Cai
FedML
127
3
0
27 Mar 2023
Factorizers for Distributed Sparse Block Codes
Factorizers for Distributed Sparse Block Codes
Michael Hersche
Aleksandar Terzić
G. Karunaratne
Jovin Langenegger
Angeline Pouget
G. Cherubini
Luca Benini
Abu Sebastian
Abbas Rahimi
110
4
0
24 Mar 2023
No Fear of Classifier Biases: Neural Collapse Inspired Federated
  Learning with Synthetic and Fixed Classifier
No Fear of Classifier Biases: Neural Collapse Inspired Federated Learning with Synthetic and Fixed Classifier
Zexi Li
Xinyi Shang
Rui He
Tao R. Lin
Chao Wu
FedML
123
55
0
17 Mar 2023
On the Implicit Geometry of Cross-Entropy Parameterizations for
  Label-Imbalanced Data
On the Implicit Geometry of Cross-Entropy Parameterizations for Label-Imbalanced Data
Tina Behnia
Ganesh Ramachandra Kini
V. Vakilian
Christos Thrampoulidis
106
17
0
14 Mar 2023
Generalizing and Decoupling Neural Collapse via Hyperspherical
  Uniformity Gap
Generalizing and Decoupling Neural Collapse via Hyperspherical Uniformity Gap
Weiyang Liu
L. Yu
Adrian Weller
Bernhard Schölkopf
102
18
0
11 Mar 2023
A Message Passing Perspective on Learning Dynamics of Contrastive
  Learning
A Message Passing Perspective on Learning Dynamics of Contrastive Learning
Yifei Wang
Qi Zhang
Tianqi Du
Jiansheng Yang
Zhouchen Lin
Yisen Wang
SSL
67
20
0
08 Mar 2023
Inducing Neural Collapse in Deep Long-tailed Learning
Inducing Neural Collapse in Deep Long-tailed Learning
Xuantong Liu
Jianfeng Zhang
Tianyang Hu
He Cao
Lujia Pan
Yuan Yao
73
31
0
24 Feb 2023
Neural Collapse Inspired Feature-Classifier Alignment for Few-Shot Class
  Incremental Learning
Neural Collapse Inspired Feature-Classifier Alignment for Few-Shot Class Incremental Learning
Yibo Yang
Haobo Yuan
Hefei Ling
Zhouchen Lin
Philip Torr
Dacheng Tao
CLL
111
108
0
06 Feb 2023
Unsupervised Manifold Linearizing and Clustering
Unsupervised Manifold Linearizing and Clustering
Tianjiao Ding
Shengbang Tong
Kwan Ho Ryan Chan
Xili Dai
Yi Ma
B. Haeffele
96
12
0
04 Jan 2023
Understanding Imbalanced Semantic Segmentation Through Neural Collapse
Understanding Imbalanced Semantic Segmentation Through Neural Collapse
Zhisheng Zhong
Jiequan Cui
Yibo Yang
Xiaoyang Wu
Xiaojuan Qi
Xinming Zhang
Jiaya Jia
221
52
0
03 Jan 2023
Pruning Before Training May Improve Generalization, Provably
Pruning Before Training May Improve Generalization, Provably
Hongru Yang
Yingbin Liang
Xiaojie Guo
Lingfei Wu
Zhangyang Wang
MLT
64
2
0
01 Jan 2023
Generalization Bounds for Few-Shot Transfer Learning with Pretrained
  Classifiers
Generalization Bounds for Few-Shot Transfer Learning with Pretrained Classifiers
Tomer Galanti
András Gyorgy
Marcus Hutter
VLMSSL
67
4
0
23 Dec 2022
Principled and Efficient Transfer Learning of Deep Models via Neural
  Collapse
Principled and Efficient Transfer Learning of Deep Models via Neural Collapse
Xiao Li
Sheng Liu
Jin-li Zhou
Xin Lu
C. Fernandez‐Granda
Zhihui Zhu
Q. Qu
AAML
97
20
0
23 Dec 2022
Perturbation Analysis of Neural Collapse
Perturbation Analysis of Neural Collapse
Tom Tirer
Haoxiang Huang
Jonathan Niles-Weed
AAML
82
26
0
29 Oct 2022
Grokking phase transitions in learning local rules with gradient descent
Grokking phase transitions in learning local rules with gradient descent
Bojan Žunkovič
E. Ilievski
105
17
0
26 Oct 2022
Hidden State Variability of Pretrained Language Models Can Guide
  Computation Reduction for Transfer Learning
Hidden State Variability of Pretrained Language Models Can Guide Computation Reduction for Transfer Learning
Shuo Xie
Jiahao Qiu
Ankita Pasad
Li Du
Qing Qu
Hongyuan Mei
87
16
0
18 Oct 2022
The Lazy Neuron Phenomenon: On Emergence of Activation Sparsity in
  Transformers
The Lazy Neuron Phenomenon: On Emergence of Activation Sparsity in Transformers
Zong-xiao Li
Chong You
Srinadh Bhojanapalli
Daliang Li
A. S. Rawat
...
Kenneth Q Ye
Felix Chern
Felix X. Yu
Ruiqi Guo
Surinder Kumar
MoE
106
97
0
12 Oct 2022
The Asymmetric Maximum Margin Bias of Quasi-Homogeneous Neural Networks
The Asymmetric Maximum Margin Bias of Quasi-Homogeneous Neural Networks
D. Kunin
Atsushi Yamamura
Chao Ma
Surya Ganguli
79
21
0
07 Oct 2022
Are All Losses Created Equal: A Neural Collapse Perspective
Are All Losses Created Equal: A Neural Collapse Perspective
Jinxin Zhou
Chong You
Xiao Li
Kangning Liu
Sheng Liu
Qing Qu
Zhihui Zhu
78
65
0
04 Oct 2022
FG-UAP: Feature-Gathering Universal Adversarial Perturbation
FG-UAP: Feature-Gathering Universal Adversarial Perturbation
Zhixing Ye
Xinwen Cheng
Xiaolin Huang
AAML
110
11
0
27 Sep 2022
Neural Collapse with Normalized Features: A Geometric Analysis over the
  Riemannian Manifold
Neural Collapse with Normalized Features: A Geometric Analysis over the Riemannian Manifold
Can Yaras
Peng Wang
Zhihui Zhu
Laura Balzano
Qing Qu
66
44
0
19 Sep 2022
Importance Tempering: Group Robustness for Overparameterized Models
Importance Tempering: Group Robustness for Overparameterized Models
Yiping Lu
Wenlong Ji
Zachary Izzo
Lexing Ying
87
7
0
19 Sep 2022
Linking Neural Collapse and L2 Normalization with Improved
  Out-of-Distribution Detection in Deep Neural Networks
Linking Neural Collapse and L2 Normalization with Improved Out-of-Distribution Detection in Deep Neural Networks
J. Haas
William Yolland
B. Rabus
OODD
103
20
0
17 Sep 2022
Improving Self-Supervised Learning by Characterizing Idealized
  Representations
Improving Self-Supervised Learning by Characterizing Idealized Representations
Yann Dubois
Tatsunori Hashimoto
Stefano Ermon
Percy Liang
SSL
167
43
0
13 Sep 2022
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Christos Thrampoulidis
Ganesh Ramachandra Kini
V. Vakilian
Tina Behnia
69
72
0
10 Aug 2022
Maximum Class Separation as Inductive Bias in One Matrix
Maximum Class Separation as Inductive Bias in One Matrix
Tejaswi Kasarla
Gertjan J. Burghouts
Max van Spengler
Elise van der Pol
Rita Cucchiara
Pascal Mettes
87
22
0
17 Jun 2022
Memorization-Dilation: Modeling Neural Collapse Under Label Noise
Memorization-Dilation: Modeling Neural Collapse Under Label Noise
Duc Anh Nguyen
Ron Levie
Julian Lienen
Gitta Kutyniok
Eyke Hüllermeier
67
2
0
11 Jun 2022
Neural Collapse: A Review on Modelling Principles and Generalization
Neural Collapse: A Review on Modelling Principles and Generalization
Vignesh Kothapalli
158
82
0
08 Jun 2022
On the Representation Collapse of Sparse Mixture of Experts
On the Representation Collapse of Sparse Mixture of Experts
Zewen Chi
Li Dong
Shaohan Huang
Damai Dai
Shuming Ma
...
Payal Bajaj
Xia Song
Xian-Ling Mao
Heyan Huang
Furu Wei
MoMeMoE
117
106
0
20 Apr 2022
Neural Collapse Inspired Attraction-Repulsion-Balanced Loss for
  Imbalanced Learning
Neural Collapse Inspired Attraction-Repulsion-Balanced Loss for Imbalanced Learning
Liang Xie
Yibo Yang
Deng Cai
Xiaofei He
65
47
0
19 Apr 2022
Inducing Neural Collapse in Imbalanced Learning: Do We Really Need a
  Learnable Classifier at the End of Deep Neural Network?
Inducing Neural Collapse in Imbalanced Learning: Do We Really Need a Learnable Classifier at the End of Deep Neural Network?
Yibo Yang
Shixiang Chen
Hefei Ling
Liangru Xie
Zhouchen Lin
Dacheng Tao
107
83
0
17 Mar 2022
On the Optimization Landscape of Neural Collapse under MSE Loss: Global
  Optimality with Unconstrained Features
On the Optimization Landscape of Neural Collapse under MSE Loss: Global Optimality with Unconstrained Features
Jinxin Zhou
Xiao Li
Tian Ding
Chong You
Qing Qu
Zhihui Zhu
78
102
0
02 Mar 2022
Robust Training under Label Noise by Over-parameterization
Robust Training under Label Noise by Over-parameterization
Sheng Liu
Zhihui Zhu
Qing Qu
Chong You
NoLaOOD
77
109
0
28 Feb 2022
On the Implicit Bias Towards Minimal Depth of Deep Neural Networks
On the Implicit Bias Towards Minimal Depth of Deep Neural Networks
Tomer Galanti
Liane Galanti
Ido Ben-Shaul
52
14
0
18 Feb 2022
Limitations of Neural Collapse for Understanding Generalization in Deep
  Learning
Limitations of Neural Collapse for Understanding Generalization in Deep Learning
Like Hui
M. Belkin
Preetum Nakkiran
AI4CE
65
56
0
17 Feb 2022
Extended Unconstrained Features Model for Exploring Deep Neural Collapse
Extended Unconstrained Features Model for Exploring Deep Neural Collapse
Tom Tirer
Joan Bruna
AAML
63
101
0
16 Feb 2022
On Measuring Excess Capacity in Neural Networks
On Measuring Excess Capacity in Neural Networks
Florian Graf
Sebastian Zeng
Bastian Rieck
Marc Niethammer
Roland Kwitt
105
10
0
16 Feb 2022
NeuroMixGDP: A Neural Collapse-Inspired Random Mixup for Private Data
  Release
NeuroMixGDP: A Neural Collapse-Inspired Random Mixup for Private Data Release
Donghao Li
Yang Cao
Yuan Yao
85
2
0
14 Feb 2022
Nearest Class-Center Simplification through Intermediate Layers
Nearest Class-Center Simplification through Intermediate Layers
Ido Ben-Shaul
S. Dekel
95
27
0
21 Jan 2022
On the Role of Neural Collapse in Transfer Learning
On the Role of Neural Collapse in Transfer Learning
Tomer Galanti
András Gyorgy
Marcus Hutter
SSL
90
93
0
30 Dec 2021
CoReS: Compatible Representations via Stationarity
CoReS: Compatible Representations via Stationarity
Niccoló Biondi
F. Pernici
Matteo Bruni
A. Bimbo
OOD
67
9
0
15 Nov 2021
An Unconstrained Layer-Peeled Perspective on Neural Collapse
An Unconstrained Layer-Peeled Perspective on Neural Collapse
Wenlong Ji
Yiping Lu
Yiliang Zhang
Zhun Deng
Weijie J. Su
212
87
0
06 Oct 2021
Benign Overfitting in Multiclass Classification: All Roads Lead to
  Interpolation
Benign Overfitting in Multiclass Classification: All Roads Lead to Interpolation
Ke Wang
Vidya Muthukumar
Christos Thrampoulidis
115
49
0
21 Jun 2021
Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central
  Path
Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path
X. Y. Han
Vardan Papyan
D. Donoho
AAML
139
144
0
03 Jun 2021
From Symmetry to Geometry: Tractable Nonconvex Problems
From Symmetry to Geometry: Tractable Nonconvex Problems
Yuqian Zhang
Qing Qu
John N. Wright
89
45
0
14 Jul 2020
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