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2004.06093
Cited By
Topology of deep neural networks
13 April 2020
Gregory Naitzat
A. Zhitnikov
Lek-Heng Lim
AI4CE
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Papers citing
"Topology of deep neural networks"
33 / 33 papers shown
Title
A Relative Homology Theory of Representation in Neural Networks
Kosio Beshkov
192
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0
17 Feb 2025
A Metric Topology of Deep Learning for Data Classification
Jwo-Yuh Wu
L. Huang
Wen-Hsuan Li
Chun-Hung Liu
154
0
0
20 Jan 2025
Persistent Topological Features in Large Language Models
Yuri Gardinazzi
Giada Panerai
Karthik Viswanathan
A. Ansuini
Alberto Cazzaniga
Matteo Biagetti
142
2
0
14 Oct 2024
On Learnable Parameters of Optimal and Suboptimal Deep Learning Models
Ziwei Zheng
Huizhi Liang
V. Snás̃el
Vito Latora
Panos Pardalos
Giuseppe Nicosia
Varun Ojha
49
1
0
21 Aug 2024
Semiring Activation in Neural Networks
B. Smets
Peter D. Donker
Jim W. Portegies
LLMSV
82
0
0
29 May 2024
Deep Learning as Ricci Flow
Anthony Baptista
Alessandro Barp
Tapabrata Chakraborti
Chris Harbron
Ben D. MacArthur
Christopher R. S. Banerji
AI4CE
85
1
0
22 Apr 2024
On Characterizing the Evolution of Embedding Space of Neural Networks using Algebraic Topology
Suryaka Suresh
Bishshoy Das
V. Abrol
Sumantra Dutta Roy
42
3
0
08 Nov 2023
Deep neural networks architectures from the perspective of manifold learning
German Magai
AAML
AI4CE
61
6
0
06 Jun 2023
Data Topology-Dependent Upper Bounds of Neural Network Widths
Sangmin Lee
Jong Chul Ye
72
1
0
25 May 2023
Importance attribution in neural networks by means of persistence landscapes of time series
Aina Ferrà
Carles Casacuberta
O. Pujol
AI4TS
70
4
0
06 Feb 2023
Topological Data Analysis for Speech Processing
Eduard Tulchinskii
Kristian Kuznetsov
Laida Kushnareva
D. Cherniavskii
S. Barannikov
Irina Piontkovskaya
Sergey I. Nikolenko
Evgeny Burnaev
68
6
0
30 Nov 2022
Isometric Representations in Neural Networks Improve Robustness
Kosio Beshkov
Jonas Verhellen
M. Lepperød
AAML
OOD
61
1
0
02 Nov 2022
FONDUE: an algorithm to find the optimal dimensionality of the latent representations of variational autoencoders
Lisa Bonheme
M. Grzes
DRL
86
6
0
26 Sep 2022
Topological data analysis on noisy quantum computers
I. Akhalwaya
Shashanka Ubaru
K. Clarkson
M. Squillante
Vishnu Jejjala
Yangfan He
Kugendran Naidoo
Vasileios Kalantzis
L. Horesh
99
14
0
19 Sep 2022
Neural Collapse with Normalized Features: A Geometric Analysis over the Riemannian Manifold
Can Yaras
Peng Wang
Zhihui Zhu
Laura Balzano
Qing Qu
64
44
0
19 Sep 2022
Transformers with Learnable Activation Functions
Haishuo Fang
Ji-Ung Lee
N. Moosavi
Iryna Gurevych
AI4CE
46
8
0
30 Aug 2022
Topological structure of complex predictions
Meng Liu
T. Dey
D. Gleich
62
4
0
28 Jul 2022
On the effectiveness of persistent homology
Renata Turkevs
Guido Montúfar
N. Otter
127
31
0
21 Jun 2022
Functional Network: A Novel Framework for Interpretability of Deep Neural Networks
Ben Zhang
Zhetong Dong
Junsong Zhang
Hongwei Lin
60
9
0
24 May 2022
RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
Thibault de Surrel
Felix Hensel
Mathieu Carrière
Théo Lacombe
Yuichi Ike
Hiroaki Kurihara
Marc Glisse
Frédéric Chazal
3DPC
71
19
0
03 Feb 2022
Detecting danger in gridworlds using Gromov's Link Condition
Thomas F Burns
R. Tang
AI4CE
74
2
0
17 Jan 2022
Persformer: A Transformer Architecture for Topological Machine Learning
Raphael Reinauer
Matteo Caorsi
Nicolas Berkouk
85
15
0
30 Dec 2021
Activation Landscapes as a Topological Summary of Neural Network Performance
Matthew Wheeler
Jose J. Bouza
Peter Bubenik
73
19
0
19 Oct 2021
Toward Understanding Convolutional Neural Networks from Volterra Convolution Perspective
Tenghui Li
Guoxu Zhou
Yuning Qiu
Qianchuan Zhao
FAtt
52
2
0
19 Oct 2021
Artificial Text Detection via Examining the Topology of Attention Maps
Laida Kushnareva
D. Cherniavskii
Vladislav Mikhailov
Ekaterina Artemova
S. Barannikov
A. Bernstein
Irina Piontkovskaya
D. Piontkovski
Evgeny Burnaev
102
51
0
10 Sep 2021
On the space of coefficients of a Feed Forward Neural Network
Dinesh Valluri
R. Campbell
MLT
67
2
0
07 Sep 2021
Topological Detection of Trojaned Neural Networks
Songzhu Zheng
Yikai Zhang
H. Wagner
Mayank Goswami
Chao Chen
AAML
87
42
0
11 Jun 2021
Understanding Softmax Confidence and Uncertainty
Tim Pearce
Alexandra Brintrup
Jun Zhu
UQCV
156
95
0
09 Jun 2021
Quantitative Performance Assessment of CNN Units via Topological Entropy Calculation
Yang Zhao
Hao Zhang
77
7
0
17 Mar 2021
Topology Applied to Machine Learning: From Global to Local
Henry Adams
Michael Moy
AI4CE
38
21
0
10 Mar 2021
SPADE: A Spectral Method for Black-Box Adversarial Robustness Evaluation
Wuxinlin Cheng
Chenhui Deng
Zhiqiang Zhao
Yaohui Cai
Zhiru Zhang
Zhuo Feng
AAML
73
14
0
07 Feb 2021
A Review on Deep Learning in UAV Remote Sensing
L. Osco
J. M. Junior
A. P. Ramos
L. Jorge
S. Fatholahi
J. Silva
E. Matsubara
H. Pistori
W. Gonçalves
Jonathan Li
AI4Cl
99
363
0
22 Jan 2021
Characterizing and Measuring the Similarity of Neural Networks with Persistent Homology
David Pérez-Fernández
Asier Gutiérrez-Fandiño
Jordi Armengol-Estapé
Marta Villegas
52
6
0
19 Jan 2021
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