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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
ArXivPDFHTML

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

50 / 148 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
30
0
0
14 May 2025
On the Geometry of Semantics in Next-token Prediction
On the Geometry of Semantics in Next-token Prediction
Yize Zhao
Christos Thrampoulidis
23
0
0
13 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
56
0
0
25 Apr 2025
Learn by Reasoning: Analogical Weight Generation for Few-Shot Class-Incremental Learning
Learn by Reasoning: Analogical Weight Generation for Few-Shot Class-Incremental Learning
Jizhou Han
Chenhao Ding
Yuhang He
Songlin Dong
Qiang Wang
Xinyuan Gao
Yihong Gong
CLL
54
0
0
27 Mar 2025
An Overview of Low-Rank Structures in the Training and Adaptation of Large Models
An Overview of Low-Rank Structures in the Training and Adaptation of Large Models
Laura Balzano
Tianjiao Ding
B. Haeffele
Soo Min Kwon
Qing Qu
Peng Wang
Zhilin Wang
Can Yaras
OffRL
AI4CE
62
0
0
25 Mar 2025
Robust Weight Imprinting: Insights from Neural Collapse and Proxy-Based Aggregation
Robust Weight Imprinting: Insights from Neural Collapse and Proxy-Based Aggregation
Justus Westerhoff
Golzar Atefi
Mario Koddenbrock
Alexei Figueroa
Alexander Loser
Erik Rodner
Felix Alexader Gers
OffRL
61
0
0
18 Mar 2025
A Good Start Matters: Enhancing Continual Learning with Data-Driven Weight Initialization
Md Yousuf Harun
Christopher Kanan
AI4CE
50
0
0
09 Mar 2025
Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)
Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)
Yoonsoo Nam
Seok Hyeong Lee
Clementine Domine
Yea Chan Park
Charles London
Wonyl Choi
Niclas Goring
Seungjai Lee
AI4CE
38
0
0
28 Feb 2025
Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations
Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations
Yize Zhao
Tina Behnia
V. Vakilian
Christos Thrampoulidis
55
8
0
20 Feb 2025
Learning with Noisy Labels: the Exploration of Error Bounds in Classification
Haixia Liu
Boxiao Li
Can Yang
Yang Wang
41
0
0
28 Jan 2025
Multi-layer Radial Basis Function Networks for Out-of-distribution Detection
Multi-layer Radial Basis Function Networks for Out-of-distribution Detection
Amol Khanna
Chenyi Ling
Derek Everett
Edward Raff
Nathan Inkawhich
OODD
33
0
0
05 Jan 2025
Understanding How Nonlinear Layers Create Linearly Separable Features for Low-Dimensional Data
Alec S. Xu
Can Yaras
Peng Wang
Q. Qu
30
0
0
04 Jan 2025
Neural Collapse Inspired Knowledge Distillation
Neural Collapse Inspired Knowledge Distillation
Shuoxi Zhang
Zijian Song
Kun He
69
1
0
16 Dec 2024
Dependence Induced Representations
Dependence Induced Representations
Xiangxiang Xu
Lizhong Zheng
65
1
0
22 Nov 2024
Dual-Head Knowledge Distillation: Enhancing Logits Utilization with an
  Auxiliary Head
Dual-Head Knowledge Distillation: Enhancing Logits Utilization with an Auxiliary Head
Penghui Yang
Chen-Chen Zong
Sheng-Jun Huang
Lei Feng
Bo An
33
1
0
13 Nov 2024
Rethinking Decoders for Transformer-based Semantic Segmentation: A Compression Perspective
Rethinking Decoders for Transformer-based Semantic Segmentation: A Compression Perspective
Qishuai Wen
Chun-Guang Li
ViT
37
0
0
05 Nov 2024
Guiding Neural Collapse: Optimising Towards the Nearest Simplex
  Equiangular Tight Frame
Guiding Neural Collapse: Optimising Towards the Nearest Simplex Equiangular Tight Frame
Evan Markou
Thalaiyasingam Ajanthan
Stephen Gould
31
0
0
02 Nov 2024
Weight decay induces low-rank attention layers
Weight decay induces low-rank attention layers
Seijin Kobayashi
Yassir Akram
J. Oswald
39
6
0
31 Oct 2024
Understanding Representation of Deep Equilibrium Models from Neural
  Collapse Perspective
Understanding Representation of Deep Equilibrium Models from Neural Collapse Perspective
Haixiang Sun
Ye Shi
42
0
0
30 Oct 2024
The Persistence of Neural Collapse Despite Low-Rank Bias: An Analytic
  Perspective Through Unconstrained Features
The Persistence of Neural Collapse Despite Low-Rank Bias: An Analytic Perspective Through Unconstrained Features
Connall Garrod
Jonathan P. Keating
36
2
0
30 Oct 2024
Unintentional Unalignment: Likelihood Displacement in Direct Preference Optimization
Unintentional Unalignment: Likelihood Displacement in Direct Preference Optimization
Noam Razin
Sadhika Malladi
Adithya Bhaskar
Danqi Chen
Sanjeev Arora
Boris Hanin
91
16
0
11 Oct 2024
$\ell_1$-norm rank-one symmetric matrix factorization has no spurious
  second-order stationary points
ℓ1\ell_1ℓ1​-norm rank-one symmetric matrix factorization has no spurious second-order stationary points
Jiewen Guan
Anthony Man-Cho So
39
2
0
07 Oct 2024
Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural
  Collapse
Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse
Arthur Jacot
Peter Súkeník
Zihan Wang
Marco Mondelli
31
1
0
07 Oct 2024
Control-oriented Clustering of Visual Latent Representation
Control-oriented Clustering of Visual Latent Representation
Han Qi
Haocheng Yin
Heng Yang
SSL
50
2
0
07 Oct 2024
SGW-based Multi-Task Learning in Vision Tasks
SGW-based Multi-Task Learning in Vision Tasks
Ruiyuan Zhang
Yuyao Chen
Yuchi Huo
Jiaxiang Liu
Dianbing Xi
Jie Liu
Chao Wu
28
0
0
03 Oct 2024
The Prevalence of Neural Collapse in Neural Multivariate Regression
The Prevalence of Neural Collapse in Neural Multivariate Regression
George Andriopoulos
Zixuan Dong
Li Guo
Zifan Zhao
Keith Ross
49
3
0
06 Sep 2024
Beyond Unconstrained Features: Neural Collapse for Shallow Neural
  Networks with General Data
Beyond Unconstrained Features: Neural Collapse for Shallow Neural Networks with General Data
Wanli Hong
Shuyang Ling
42
3
0
03 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
Adaptive Parametric Activation
Adaptive Parametric Activation
Konstantinos Panagiotis Alexandridis
Jiankang Deng
Anh Nguyen
Shan Luo
41
2
0
11 Jul 2024
LaCoOT: Layer Collapse through Optimal Transport
LaCoOT: Layer Collapse through Optimal Transport
Victor Quétu
Nour Hezbri
Enzo Tartaglione
34
0
0
13 Jun 2024
Towards Interpretable Deep Local Learning with Successive Gradient
  Reconciliation
Towards Interpretable Deep Local Learning with Successive Gradient Reconciliation
Yibo Yang
Xiaojie Li
Motasem Alfarra
Hasan Hammoud
Adel Bibi
Philip H. S. Torr
Guohao Li
37
2
0
07 Jun 2024
Federated Representation Learning in the Under-Parameterized Regime
Federated Representation Learning in the Under-Parameterized Regime
Renpu Liu
Cong Shen
Jing Yang
26
4
0
07 Jun 2024
Compressible Dynamics in Deep Overparameterized Low-Rank Learning &
  Adaptation
Compressible Dynamics in Deep Overparameterized Low-Rank Learning & Adaptation
Can Yaras
Peng Wang
Laura Balzano
Qing Qu
AI4CE
37
12
0
06 Jun 2024
Domain Game: Disentangle Anatomical Feature for Single Domain
  Generalized Segmentation
Domain Game: Disentangle Anatomical Feature for Single Domain Generalized Segmentation
Hao Chen
Hongrun Zhang
U. W. Chan
Rui Yin
Xiaofei Wang
Chao Li
OOD
42
1
0
04 Jun 2024
A Global Geometric Analysis of Maximal Coding Rate Reduction
A Global Geometric Analysis of Maximal Coding Rate Reduction
Peng Wang
Huikang Liu
Druv Pai
Yaodong Yu
Zhihui Zhu
Q. Qu
Yi Ma
34
6
0
04 Jun 2024
Federated Learning with Bilateral Curation for Partially Class-Disjoint
  Data
Federated Learning with Bilateral Curation for Partially Class-Disjoint Data
Ziqing Fan
Ruipeng Zhang
Jiangchao Yao
Bo Han
Ya-Qin Zhang
Yanfeng Wang
FedML
37
12
0
29 May 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
40
0
0
28 May 2024
Linguistic Collapse: Neural Collapse in (Large) Language Models
Linguistic Collapse: Neural Collapse in (Large) Language Models
Robert Wu
V. Papyan
48
12
0
28 May 2024
Neural Collapse versus Low-rank Bias: Is Deep Neural Collapse Really
  Optimal?
Neural Collapse versus Low-rank Bias: Is Deep Neural Collapse Really Optimal?
Peter Súkeník
Marco Mondelli
Christoph H. Lampert
AI4CE
34
7
0
23 May 2024
Improving Generalization of Deep Neural Networks by Optimum Shifting
Improving Generalization of Deep Neural Networks by Optimum Shifting
Yuyan Zhou
Ye Li
Lei Feng
Sheng-Jun Huang
OOD
ODL
38
0
0
23 May 2024
Navigate Beyond Shortcuts: Debiased Learning through the Lens of Neural
  Collapse
Navigate Beyond Shortcuts: Debiased Learning through the Lens of Neural Collapse
Yining Wang
Junjie Sun
Chenyue Wang
Mi Zhang
Min Yang
27
6
0
09 May 2024
Progressive Feedforward Collapse of ResNet Training
Progressive Feedforward Collapse of ResNet Training
Sicong Wang
Kuo Gai
Shihua Zhang
AI4CE
33
4
0
02 May 2024
Unifying Low Dimensional Observations in Deep Learning Through the Deep
  Linear Unconstrained Feature Model
Unifying Low Dimensional Observations in Deep Learning Through the Deep Linear Unconstrained Feature Model
Connall Garrod
Jonathan P. Keating
41
8
0
09 Apr 2024
Can We Understand Plasticity Through Neural Collapse?
Can We Understand Plasticity Through Neural Collapse?
Guglielmo Bonifazi
Iason Chalas
Gian Hess
Jakub Lucki
AI4CE
26
2
0
03 Apr 2024
Hyperspherical Classification with Dynamic Label-to-Prototype Assignment
Hyperspherical Classification with Dynamic Label-to-Prototype Assignment
Mohammad Saeed Ebrahimi Saadabadi
Ali Dabouei
Sahar Rahimi Malakshan
Nasser M. Nasrabadi
34
3
0
25 Mar 2024
Investigating the Benefits of Projection Head for Representation
  Learning
Investigating the Benefits of Projection Head for Representation Learning
Yihao Xue
Eric Gan
Jiayi Ni
Siddharth Joshi
Baharan Mirzasoleiman
47
10
0
18 Mar 2024
Supervised Contrastive Representation Learning: Landscape Analysis with
  Unconstrained Features
Supervised Contrastive Representation Learning: Landscape Analysis with Unconstrained Features
Tina Behnia
Christos Thrampoulidis
SSL
36
0
0
29 Feb 2024
Deep Neural Network Models Trained With A Fixed Random Classifier
  Transfer Better Across Domains
Deep Neural Network Models Trained With A Fixed Random Classifier Transfer Better Across Domains
Hafiz Tiomoko Ali
Umberto Michieli
J. Moon
Daehyun Kim
Mete Ozay
AAML
27
1
0
28 Feb 2024
Measuring and Controlling Instruction (In)Stability in Language Model
  Dialogs
Measuring and Controlling Instruction (In)Stability in Language Model Dialogs
Kenneth Li
Tianle Liu
Naomi Bashkansky
David Bau
Fernanda Viégas
Hanspeter Pfister
Martin Wattenberg
18
6
0
13 Feb 2024
Low-Rank Learning by Design: the Role of Network Architecture and
  Activation Linearity in Gradient Rank Collapse
Low-Rank Learning by Design: the Role of Network Architecture and Activation Linearity in Gradient Rank Collapse
Bradley T. Baker
Ba Pearlmutter
Robyn L. Miller
Vince D. Calhoun
Sergey Plis
AI4CE
18
2
0
09 Feb 2024
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