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Intrinsic dimension of data representations in deep neural networks

Intrinsic dimension of data representations in deep neural networks

29 May 2019
A. Ansuini
Alessandro Laio
Jakob H. Macke
D. Zoccolan
    AI4CE
ArXivPDFHTML

Papers citing "Intrinsic dimension of data representations in deep neural networks"

50 / 64 papers shown
Title
Informed Mixing -- Improving Open Set Recognition via Attribution-based Augmentation
Informed Mixing -- Improving Open Set Recognition via Attribution-based Augmentation
Jiawen Xu
O. Kao
Margret Keuper
27
0
0
19 May 2025
FedDuA: Doubly Adaptive Federated Learning
FedDuA: Doubly Adaptive Federated Learning
Shokichi Takakura
Seng Pei Liew
Satoshi Hasegawa
FedML
30
0
0
16 May 2025
Register and CLS tokens yield a decoupling of local and global features in large ViTs
Register and CLS tokens yield a decoupling of local and global features in large ViTs
Alexander Lappe
M. Giese
29
0
0
09 May 2025
High-entropy Advantage in Neural Networks' Generalizability
High-entropy Advantage in Neural Networks' Generalizability
Entao Yang
Xuzhi Zhang
Yue Shang
Ge Zhang
AI4CE
71
0
0
17 Mar 2025
A Geometric Perspective for High-Dimensional Multiplex Graphs
A Geometric Perspective for High-Dimensional Multiplex Graphs
K. Abdous
Nairouz Mrabah
Mohamed Bouguessa
80
0
0
29 Jan 2025
The Geometry of Tokens in Internal Representations of Large Language Models
The Geometry of Tokens in Internal Representations of Large Language Models
Karthik Viswanathan
Yuri Gardinazzi
Giada Panerai
Alberto Cazzaniga
Matteo Biagetti
AIFin
102
4
0
17 Jan 2025
Unsupervised detection of semantic correlations in big data
Unsupervised detection of semantic correlations in big data
Santiago Acevedo
Alex Rodriguez
Alessandro Laio
70
2
0
04 Nov 2024
ResiDual Transformer Alignment with Spectral Decomposition
ResiDual Transformer Alignment with Spectral Decomposition
Lorenzo Basile
Valentino Maiorca
Luca Bortolussi
Emanuele Rodolà
Francesco Locatello
66
1
0
31 Oct 2024
The Geometry of Concepts: Sparse Autoencoder Feature Structure
The Geometry of Concepts: Sparse Autoencoder Feature Structure
Yuxiao Li
Eric J. Michaud
David D. Baek
Joshua Engels
Xiaoqing Sun
Max Tegmark
58
9
0
10 Oct 2024
Geometric Signatures of Compositionality Across a Language Model's Lifetime
Geometric Signatures of Compositionality Across a Language Model's Lifetime
Jin Hwa Lee
Thomas Jiralerspong
Lei Yu
Yoshua Bengio
Emily Cheng
CoGe
87
1
0
02 Oct 2024
Intrinsic Dimension Correlation: uncovering nonlinear connections in multimodal representations
Intrinsic Dimension Correlation: uncovering nonlinear connections in multimodal representations
Lorenzo Basile
Santiago Acevedo
Luca Bortolussi
Fabio Anselmi
Alex Rodriguez
53
4
0
22 Jun 2024
Exploiting the Layered Intrinsic Dimensionality of Deep Models for
  Practical Adversarial Training
Exploiting the Layered Intrinsic Dimensionality of Deep Models for Practical Adversarial Training
Enes Altinisik
Safa Messaoud
Husrev Taha Sencar
Hassan Sajjad
Sanjay Chawla
AAML
53
0
0
27 May 2024
Emergence of a High-Dimensional Abstraction Phase in Language Transformers
Emergence of a High-Dimensional Abstraction Phase in Language Transformers
Emily Cheng
Diego Doimo
Corentin Kervadec
Iuri Macocco
Jade Yu
Alessandro Laio
Marco Baroni
112
11
0
24 May 2024
Quantifying Manifolds: Do the manifolds learned by Generative
  Adversarial Networks converge to the real data manifold
Quantifying Manifolds: Do the manifolds learned by Generative Adversarial Networks converge to the real data manifold
Anupam Chaudhuri
Anj Simmons
Mohamed Abdelrazek
33
0
0
08 Mar 2024
LDReg: Local Dimensionality Regularized Self-Supervised Learning
LDReg: Local Dimensionality Regularized Self-Supervised Learning
Hanxun Huang
R. Campello
S. Erfani
Xingjun Ma
Michael E. Houle
James Bailey
46
5
0
19 Jan 2024
Bridging Information-Theoretic and Geometric Compression in Language
  Models
Bridging Information-Theoretic and Geometric Compression in Language Models
Emily Cheng
Corentin Kervadec
Marco Baroni
36
17
0
20 Oct 2023
Systematic Architectural Design of Scale Transformed Attention Condenser
  DNNs via Multi-Scale Class Representational Response Similarity Analysis
Systematic Architectural Design of Scale Transformed Attention Condenser DNNs via Multi-Scale Class Representational Response Similarity Analysis
Andrew Hryniowski
Alexander Wong
23
0
0
16 Jun 2023
Deep neural networks architectures from the perspective of manifold
  learning
Deep neural networks architectures from the perspective of manifold learning
German Magai
AAML
AI4CE
35
6
0
06 Jun 2023
The Tunnel Effect: Building Data Representations in Deep Neural Networks
The Tunnel Effect: Building Data Representations in Deep Neural Networks
Wojciech Masarczyk
M. Ostaszewski
Ehsan Imani
Razvan Pascanu
Piotr Milo's
Tomasz Trzciñski
41
19
0
31 May 2023
Data Representations' Study of Latent Image Manifolds
Data Representations' Study of Latent Image Manifolds
Ilya Kaufman
Omri Azencot
14
7
0
31 May 2023
Emergent representations in networks trained with the Forward-Forward algorithm
Emergent representations in networks trained with the Forward-Forward algorithm
Niccolo Tosato
Lorenzo Basile
Emanuele Ballarin
Giuseppe de Alteriis
Alberto Cazzaniga
A. Ansuini
31
9
0
26 May 2023
Similarity of Neural Network Models: A Survey of Functional and Representational Measures
Similarity of Neural Network Models: A Survey of Functional and Representational Measures
Max Klabunde
Tobias Schumacher
M. Strohmaier
Florian Lemmerich
63
66
0
10 May 2023
Probing the Purview of Neural Networks via Gradient Analysis
Probing the Purview of Neural Networks via Gradient Analysis
Jinsol Lee
Charles Lehman
Mohit Prabhushankar
Ghassan AlRegib
37
7
0
06 Apr 2023
Local Intrinsic Dimensional Entropy
Local Intrinsic Dimensional Entropy
Rohan Ghosh
Mehul Motani
31
2
0
05 Apr 2023
Mathematical Challenges in Deep Learning
Mathematical Challenges in Deep Learning
V. Nia
Guojun Zhang
I. Kobyzev
Michael R. Metel
Xinlin Li
...
S. Hemati
M. Asgharian
Linglong Kong
Wulong Liu
Boxing Chen
AI4CE
VLM
37
1
0
24 Mar 2023
It Is All About Data: A Survey on the Effects of Data on Adversarial
  Robustness
It Is All About Data: A Survey on the Effects of Data on Adversarial Robustness
Peiyu Xiong
Michael W. Tegegn
Jaskeerat Singh Sarin
Shubhraneel Pal
Julia Rubin
SILM
AAML
37
8
0
17 Mar 2023
Inversion dynamics of class manifolds in deep learning reveals tradeoffs
  underlying generalisation
Inversion dynamics of class manifolds in deep learning reveals tradeoffs underlying generalisation
Simone Ciceri
Lorenzo Cassani
Matteo Osella
P. Rotondo
P. Pizzochero
M. Gherardi
44
7
0
09 Mar 2023
BrainBERT: Self-supervised representation learning for intracranial
  recordings
BrainBERT: Self-supervised representation learning for intracranial recordings
Christopher Wang
Vighnesh Subramaniam
A. Yaari
Gabriel Kreiman
Boris Katz
Ignacio Cases
Andrei Barbu
MedIm
SSL
32
31
0
28 Feb 2023
The geometry of hidden representations of large transformer models
The geometry of hidden representations of large transformer models
L. Valeriani
Diego Doimo
F. Cuturello
Alessandro Laio
A. Ansuini
Alberto Cazzaniga
MILM
34
50
0
01 Feb 2023
On the Geometry of Reinforcement Learning in Continuous State and Action
  Spaces
On the Geometry of Reinforcement Learning in Continuous State and Action Spaces
Saket Tiwari
Omer Gottesman
George Konidaris
29
0
0
29 Dec 2022
Rethinking the Number of Shots in Robust Model-Agnostic Meta-Learning
Rethinking the Number of Shots in Robust Model-Agnostic Meta-Learning
Xiaoyue Duan
Guoliang Kang
Runqi Wang
Shumin Han
Shenjun Xue
Tian Wang
Baochang Zhang
34
2
0
28 Nov 2022
Linear Classification of Neural Manifolds with Correlated Variability
Linear Classification of Neural Manifolds with Correlated Variability
Albert J. Wakhloo
Tamara J. Sussman
SueYeon Chung
29
10
0
27 Nov 2022
NAS-LID: Efficient Neural Architecture Search with Local Intrinsic
  Dimension
NAS-LID: Efficient Neural Architecture Search with Local Intrinsic Dimension
Xin He
Jiangchao Yao
Yuxin Wang
Zhenheng Tang
Ka Chu Cheung
Simon See
Bo Han
Xiaowen Chu
24
9
0
23 Nov 2022
Internal Representations of Vision Models Through the Lens of Frames on
  Data Manifolds
Internal Representations of Vision Models Through the Lens of Frames on Data Manifolds
Henry Kvinge
Grayson Jorgenson
Davis Brown
Charles Godfrey
Tegan H. Emerson
59
2
0
19 Nov 2022
Dimensionality of datasets in object detection networks
Dimensionality of datasets in object detection networks
Ajay Chawda
A. Vierling
Karsten Berns
3DPC
18
0
0
13 Oct 2022
Verifying the Union of Manifolds Hypothesis for Image Data
Verifying the Union of Manifolds Hypothesis for Image Data
Bradley Brown
Anthony L. Caterini
Brendan Leigh Ross
Jesse C. Cresswell
Gabriel Loaiza-Ganem
44
39
0
06 Jul 2022
LIDL: Local Intrinsic Dimension Estimation Using Approximate Likelihood
LIDL: Local Intrinsic Dimension Estimation Using Approximate Likelihood
Piotr Tempczyk
Rafał Michaluk
Łukasz Garncarek
Przemysław Spurek
Jacek Tabor
Adam Goliñski
35
26
0
29 Jun 2022
Learning sparse features can lead to overfitting in neural networks
Learning sparse features can lead to overfitting in neural networks
Leonardo Petrini
Francesco Cagnetta
Eric Vanden-Eijnden
Matthieu Wyart
MLT
47
23
0
24 Jun 2022
A Model or 603 Exemplars: Towards Memory-Efficient Class-Incremental
  Learning
A Model or 603 Exemplars: Towards Memory-Efficient Class-Incremental Learning
Da-Wei Zhou
Qiwen Wang
Han-Jia Ye
De-Chuan Zhan
36
125
0
26 May 2022
Toward a Geometrical Understanding of Self-supervised Contrastive
  Learning
Toward a Geometrical Understanding of Self-supervised Contrastive Learning
Romain Cosentino
Anirvan M. Sengupta
Salman Avestimehr
Mahdi Soltanolkotabi
Antonio Ortega
Ted Willke
Mariano Tepper
SSL
50
17
0
13 May 2022
Low Dimensional Invariant Embeddings for Universal Geometric Learning
Low Dimensional Invariant Embeddings for Universal Geometric Learning
Nadav Dym
S. Gortler
34
39
0
05 May 2022
One Picture is Worth a Thousand Words: A New Wallet Recovery Process
One Picture is Worth a Thousand Words: A New Wallet Recovery Process
H. Chabanne
Vincent Despiegel
Linda Guiga
22
0
0
05 May 2022
DADApy: Distance-based Analysis of DAta-manifolds in Python
DADApy: Distance-based Analysis of DAta-manifolds in Python
Aldo Glielmo
Iuri Macocco
Diego Doimo
Matteo Carli
C. Zeni
Romina Wild
M. d’Errico
Alex Rodriguez
Alessandro Laio
11
37
0
04 May 2022
Topology and geometry of data manifold in deep learning
Topology and geometry of data manifold in deep learning
German Magai
A. Ayzenberg
AAML
28
11
0
19 Apr 2022
Deep Layer-wise Networks Have Closed-Form Weights
Chieh-Tsai Wu
A. Masoomi
Arthur Gretton
Jennifer Dy
34
3
0
01 Feb 2022
Quantifying Relevance in Learning and Inference
Quantifying Relevance in Learning and Inference
M. Marsili
Y. Roudi
22
18
0
01 Feb 2022
Eigenvalues of Autoencoders in Training and at Initialization
Eigenvalues of Autoencoders in Training and at Initialization
Ben Dees
S. Agarwala
Corey Lowman
29
0
0
27 Jan 2022
Intrinsic Dimension, Persistent Homology and Generalization in Neural
  Networks
Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks
Tolga Birdal
Aaron Lou
Leonidas J. Guibas
Umut cSimcsekli
35
61
0
25 Nov 2021
Neural Population Geometry Reveals the Role of Stochasticity in Robust
  Perception
Neural Population Geometry Reveals the Role of Stochasticity in Robust Perception
Joel Dapello
J. Feather
Hang Le
Tiago Marques
David D. Cox
Josh H. McDermott
J. DiCarlo
SueYeon Chung
AAML
OOD
19
25
0
12 Nov 2021
Channel redundancy and overlap in convolutional neural networks with
  channel-wise NNK graphs
Channel redundancy and overlap in convolutional neural networks with channel-wise NNK graphs
David Bonet
Antonio Ortega
Javier Ruiz-Hidalgo
Sarath Shekkizhar
GNN
33
7
0
18 Oct 2021
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