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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

3 June 2021
X. Y. Han
Vardan Papyan
D. Donoho
    AAML
ArXivPDFHTML

Papers citing "Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path"

46 / 46 papers shown
Title
Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model
Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model
George Andriopoulos
Soyuj Jung Basnet
Juan Guevara
Li Guo
Keith Ross
40
0
0
14 May 2025
Enhancing Pre-Trained Model-Based Class-Incremental Learning through Neural Collapse
Enhancing Pre-Trained Model-Based Class-Incremental Learning through Neural Collapse
Kun He
Zijian Song
Shuoxi Zhang
J. Hopcroft
CLL
61
0
0
25 Apr 2025
Control-oriented Clustering of Visual Latent Representation
Control-oriented Clustering of Visual Latent Representation
Han Qi
Haocheng Yin
Heng Yang
SSL
60
2
0
07 Oct 2024
Collapsed Language Models Promote Fairness
Collapsed Language Models Promote Fairness
Jingxuan Xu
Wuyang Chen
Linyi Li
Yao Zhao
Yunchao Wei
46
0
0
06 Oct 2024
Multiplicative Logit Adjustment Approximates Neural-Collapse-Aware Decision Boundary Adjustment
Multiplicative Logit Adjustment Approximates Neural-Collapse-Aware Decision Boundary Adjustment
Naoya Hasegawa
Issei Sato
41
0
0
26 Sep 2024
Exploring Information-Theoretic Metrics Associated with Neural Collapse in Supervised Training
Exploring Information-Theoretic Metrics Associated with Neural Collapse in Supervised Training
Kun Song
Zhiquan Tan
Bochao Zou
Jiansheng Chen
Huimin Ma
Weiran Huang
44
1
0
25 Sep 2024
Geometric Analysis of Unconstrained Feature Models with $d=K$
Geometric Analysis of Unconstrained Feature Models with d=Kd=Kd=K
Yi Shen
Shao Gu
35
0
0
15 Jul 2024
Bridging Mini-Batch and Asymptotic Analysis in Contrastive Learning:
  From InfoNCE to Kernel-Based Losses
Bridging Mini-Batch and Asymptotic Analysis in Contrastive Learning: From InfoNCE to Kernel-Based Losses
Panagiotis Koromilas
Giorgos Bouritsas
Theodoros Giannakopoulos
M. Nicolaou
Yannis Panagakis
42
0
0
28 May 2024
Linguistic Collapse: Neural Collapse in (Large) Language Models
Linguistic Collapse: Neural Collapse in (Large) Language Models
Robert Wu
Vardan Papyan
53
13
0
28 May 2024
Supervised Contrastive Representation Learning: Landscape Analysis with
  Unconstrained Features
Supervised Contrastive Representation Learning: Landscape Analysis with Unconstrained Features
Tina Behnia
Christos Thrampoulidis
SSL
39
0
0
29 Feb 2024
Pushing Boundaries: Mixup's Influence on Neural Collapse
Pushing Boundaries: Mixup's Influence on Neural Collapse
Quinn Fisher
Haoming Meng
Vardan Papyan
AAML
UQCV
49
5
0
09 Feb 2024
Cross Entropy versus Label Smoothing: A Neural Collapse Perspective
Cross Entropy versus Label Smoothing: A Neural Collapse Perspective
Li Guo
Keith Ross
Zifan Zhao
George Andriopoulos
Shuyang Ling
Yufeng Xu
Zixuan Dong
UQCV
NoLa
30
9
0
06 Feb 2024
Neural Collapse in Multi-label Learning with Pick-all-label Loss
Neural Collapse in Multi-label Learning with Pick-all-label Loss
Pengyu Li
Xiao Li
Yutong Wang
Qing Qu
35
8
0
24 Oct 2023
Towards Demystifying the Generalization Behaviors When Neural Collapse
  Emerges
Towards Demystifying the Generalization Behaviors When Neural Collapse Emerges
Peifeng Gao
Qianqian Xu
Yibo Yang
Peisong Wen
Huiyang Shao
Zhiyong Yang
Guohao Li
Qingming Huang
AAML
31
3
0
12 Oct 2023
Generalized Neural Collapse for a Large Number of Classes
Generalized Neural Collapse for a Large Number of Classes
Jiachen Jiang
Jinxin Zhou
Peng Wang
Qing Qu
Dustin Mixon
Chong You
Zhihui Zhu
AI4CE
34
25
0
09 Oct 2023
Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
Gerard Ben Arous
Reza Gheissari
Jiaoyang Huang
Aukosh Jagannath
35
13
0
04 Oct 2023
Neural Collapse Terminus: A Unified Solution for Class Incremental
  Learning and Its Variants
Neural Collapse Terminus: A Unified Solution for Class Incremental Learning and Its Variants
Yibo Yang
Haobo Yuan
Hefei Ling
Jianlong Wu
Lefei Zhang
Zhouchen Lin
Philip Torr
Dacheng Tao
Guohao Li
CLL
33
8
0
03 Aug 2023
A Neural Collapse Perspective on Feature Evolution in Graph Neural
  Networks
A Neural Collapse Perspective on Feature Evolution in Graph Neural Networks
Vignesh Kothapalli
Tom Tirer
Joan Bruna
46
12
0
04 Jul 2023
Symmetric Neural-Collapse Representations with Supervised Contrastive
  Loss: The Impact of ReLU and Batching
Symmetric Neural-Collapse Representations with Supervised Contrastive Loss: The Impact of ReLU and Batching
Ganesh Ramachandra Kini
V. Vakilian
Tina Behnia
Jaidev Gill
Christos Thrampoulidis
17
1
0
13 Jun 2023
Quantifying the Variability Collapse of Neural Networks
Quantifying the Variability Collapse of Neural Networks
Jing-Xue Xu
Haoxiong Liu
38
5
0
06 Jun 2023
Unraveling Projection Heads in Contrastive Learning: Insights from
  Expansion and Shrinkage
Unraveling Projection Heads in Contrastive Learning: Insights from Expansion and Shrinkage
Yu Gui
Cong Ma
Yiqiao Zhong
27
7
0
06 Jun 2023
Reverse Engineering Self-Supervised Learning
Reverse Engineering Self-Supervised Learning
Ido Ben-Shaul
Ravid Shwartz-Ziv
Tomer Galanti
S. Dekel
Yann LeCun
SSL
26
35
0
24 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
35
2
0
19 May 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
34
3
0
27 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
37
18
0
11 Mar 2023
Cut your Losses with Squentropy
Cut your Losses with Squentropy
Like Hui
M. Belkin
S. Wright
UQCV
18
8
0
08 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
41
98
0
06 Feb 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
143
46
0
03 Jan 2023
Problem-Dependent Power of Quantum Neural Networks on Multi-Class
  Classification
Problem-Dependent Power of Quantum Neural Networks on Multi-Class Classification
Yuxuan Du
Yibo Yang
Dacheng Tao
Min-hsiu Hsieh
48
23
0
29 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
30
19
0
23 Dec 2022
A Law of Data Separation in Deep Learning
A Law of Data Separation in Deep Learning
Hangfeng He
Weijie J. Su
OOD
32
38
0
31 Oct 2022
Perturbation Analysis of Neural Collapse
Perturbation Analysis of Neural Collapse
Tom Tirer
Haoxiang Huang
Jonathan Niles-Weed
AAML
48
25
0
29 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
37
16
0
18 Oct 2022
Towards Understanding GD with Hard and Conjugate Pseudo-labels for
  Test-Time Adaptation
Towards Understanding GD with Hard and Conjugate Pseudo-labels for Test-Time Adaptation
Jun-Kun Wang
Andre Wibisono
37
7
0
18 Oct 2022
Class-wise and reduced calibration methods
Class-wise and reduced calibration methods
Michael Panchenko
Anes Benmerzoug
Miguel de Benito Delgado
23
0
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
41
60
0
04 Oct 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
25
42
0
19 Sep 2022
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Christos Thrampoulidis
Ganesh Ramachandra Kini
V. Vakilian
Tina Behnia
35
70
0
10 Aug 2022
Neural Collapse: A Review on Modelling Principles and Generalization
Neural Collapse: A Review on Modelling Principles and Generalization
Vignesh Kothapalli
30
74
0
08 Jun 2022
Perfectly Balanced: Improving Transfer and Robustness of Supervised
  Contrastive Learning
Perfectly Balanced: Improving Transfer and Robustness of Supervised Contrastive Learning
Mayee F. Chen
Daniel Y. Fu
A. Narayan
Michael Zhang
Zhao Song
Kayvon Fatahalian
Christopher Ré
SSL
32
48
0
15 Apr 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
35
101
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
NoLa
OOD
32
106
0
28 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
35
2
0
14 Feb 2022
Understanding Square Loss in Training Overparametrized Neural Network
  Classifiers
Understanding Square Loss in Training Overparametrized Neural Network Classifiers
Tianyang Hu
Jun Wang
Wei Cao
Zhenguo Li
UQCV
AAML
41
19
0
07 Dec 2021
Image2Point: 3D Point-Cloud Understanding with 2D Image Pretrained
  Models
Image2Point: 3D Point-Cloud Understanding with 2D Image Pretrained Models
Chenfeng Xu
Shijia Yang
Tomer Galanti
Bichen Wu
Xiangyu Yue
Bohan Zhai
Wei Zhan
Peter Vajda
Kurt Keutzer
Masayoshi Tomizuka
3DPC
39
53
0
08 Jun 2021
A Geometric Analysis of Neural Collapse with Unconstrained Features
A Geometric Analysis of Neural Collapse with Unconstrained Features
Zhihui Zhu
Tianyu Ding
Jinxin Zhou
Xiao Li
Chong You
Jeremias Sulam
Qing Qu
40
196
0
06 May 2021
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