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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"

50 / 149 papers shown
Title
Sharper Convergence Rates for Nonconvex Optimisation via Reduction Mappings
Evan Markou
Thalaiyasingam Ajanthan
Stephen Gould
35
0
0
10 Jun 2025
Neural Collapse in Cumulative Link Models for Ordinal Regression: An Analysis with Unconstrained Feature Model
Neural Collapse in Cumulative Link Models for Ordinal Regression: An Analysis with Unconstrained Feature Model
Chuang Ma
Tomoyuki Obuchi
Toshiyuki Tanaka
54
0
0
06 Jun 2025
BioCLIP 2: Emergent Properties from Scaling Hierarchical Contrastive Learning
BioCLIP 2: Emergent Properties from Scaling Hierarchical Contrastive Learning
Zanming Huang
Samuel Stevens
Elizabeth G. Campolongo
Matthew J. Thompson
Net Zhang
...
Daniel Rubenstein
Hilmar Lapp
T. Berger-Wolf
Wei-Lun Chao
Yu-Chuan Su
VLM
61
2
0
29 May 2025
From Compression to Expansion: A Layerwise Analysis of In-Context Learning
From Compression to Expansion: A Layerwise Analysis of In-Context Learning
Jiachen Jiang
Yuxin Dong
Jinxin Zhou
Zhihui Zhu
65
0
0
22 May 2025
Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers
Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers
Peter Súkeník
Christoph H. Lampert
Marco Mondelli
79
0
0
21 May 2025
Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model
Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model
Shuyang Ling
Soyuj Jung Basnet
Juan Guevara
Li Guo
George Andriopoulos
81
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
57
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
John E. Hopcroft
CLL
145
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
105
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
Ziyi Wang
Can Yaras
OffRLAI4CE
88
2
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
112
0
0
18 Mar 2025
A Good Start Matters: Enhancing Continual Learning with Data-Driven Weight Initialization
A Good Start Matters: Enhancing Continual Learning with Data-Driven Weight Initialization
Md Yousuf Harun
Christopher Kanan
AI4CE
93
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
221
1
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
195
10
0
20 Feb 2025
The Exploration of Error Bounds in Classification with Noisy Labels
The Exploration of Error Bounds in Classification with Noisy Labels
Haixia Liu
Boxiao Li
Can Yang
Yang Wang
NoLa
178
0
0
25 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
127
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
97
1
0
04 Jan 2025
Neural Collapse Inspired Knowledge Distillation
Neural Collapse Inspired Knowledge Distillation
Shuoxi Zhang
Zijian Song
Kun He
181
1
0
16 Dec 2024
Explaining and Mitigating the Modality Gap in Contrastive Multimodal
  Learning
Explaining and Mitigating the Modality Gap in Contrastive Multimodal Learning
Can Yaras
Siyi Chen
Peng Wang
Q. Qu
VLM
96
3
0
10 Dec 2024
Dependence Induced Representations
Dependence Induced Representations
Xiangxiang Xu
Lizhong Zheng
111
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
145
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
70
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
97
3
0
02 Nov 2024
Weight decay induces low-rank attention layers
Weight decay induces low-rank attention layers
Seijin Kobayashi
Yassir Akram
J. Oswald
122
12
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
96
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
67
4
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
223
35
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
111
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
74
2
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
145
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
83
1
0
03 Oct 2024
The Prevalence of Neural Collapse in Neural Multivariate Regression
The Prevalence of Neural Collapse in Neural Multivariate Regression
Shuyang Ling
Zixuan Dong
Li Guo
Zifan Zhao
George Andriopoulos
82
7
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
71
4
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
59
0
0
15 Jul 2024
Adaptive Parametric Activation
Adaptive Parametric Activation
Konstantinos Panagiotis Alexandridis
Jiankang Deng
Anh Nguyen
Shan Luo
86
5
0
11 Jul 2024
LaCoOT: Layer Collapse through Optimal Transport
LaCoOT: Layer Collapse through Optimal Transport
Victor Quétu
Nour Hezbri
Enzo Tartaglione
66
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 Torr
Guohao Li
84
3
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
90
5
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
73
15
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
84
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-An Ma
68
7
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 Zhang
Yanfeng Wang
FedML
73
13
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
77
2
0
28 May 2024
Linguistic Collapse: Neural Collapse in (Large) Language Models
Linguistic Collapse: Neural Collapse in (Large) Language Models
Robert Wu
Vardan Papyan
97
16
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
74
11
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
OODODL
55
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
87
7
0
09 May 2024
Progressive Feedforward Collapse of ResNet Training
Progressive Feedforward Collapse of ResNet Training
Sicong Wang
Kuo Gai
Shihua Zhang
AI4CE
78
7
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
117
9
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
105
2
0
03 Apr 2024
123
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