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A Topology Layer for Machine Learning
v1v2 (latest)

A Topology Layer for Machine Learning

29 May 2019
Rickard Brüel-Gabrielsson
Bradley J. Nelson
Anjan Dwaraknath
Primoz Skraba
Leonidas Guibas
Gunnar Carlsson
    AI4CE
ArXiv (abs)PDFHTMLGithub (400★)

Papers citing "A Topology Layer for Machine Learning"

50 / 69 papers shown
Title
Directional Sign Loss: A Topology-Preserving Loss Function that Approximates the Sign of Finite Differences
Directional Sign Loss: A Topology-Preserving Loss Function that Approximates the Sign of Finite Differences
Harvey Dam
Tripti Agarwal
Ganesh Gopalakrishnan
104
0
0
05 Apr 2025
Disconnect to Connect: A Data Augmentation Method for Improving Topology Accuracy in Image Segmentation
Juan Miguel Valverde
Maja Østergaard
Adrian Rodriguez-Palomo
Peter Alling Strange Vibe
Nina Kølln Wittig
Henrik Birkedal
Anders Bjorholm Dahl
52
0
0
07 Mar 2025
Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
Tamal K. Dey
Shreyas N. Samaga
134
1
0
22 Feb 2025
Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity
Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity
Tianqi Shen
Shaohua Liu
Jiaqi Feng
Ziye Ma
Ning An
166
1
0
21 Dec 2024
Revisiting Point Cloud Completion: Are We Ready For The Real-World?
Revisiting Point Cloud Completion: Are We Ready For The Real-World?
Stuti Pathak
Prashant Kumar
Nicholus Mboga
Gunther Steenackers
R. Penne
Rudi Penne
521
0
0
26 Nov 2024
KaLDeX: Kalman Filter based Linear Deformable Cross Attention for Retina
  Vessel Segmentation
KaLDeX: Kalman Filter based Linear Deformable Cross Attention for Retina Vessel Segmentation
Zhihao Zhao
Shahrooz Faghihroohi
Yinzheng Zhao
Junjie Yang
Shipeng Zhong
Kai-Qi Huang
Nassir Navab
Boyang Li
M. A. Nasseri
65
0
0
28 Oct 2024
TopoDiffusionNet: A Topology-aware Diffusion Model
TopoDiffusionNet: A Topology-aware Diffusion Model
Saumya Gupta
Dimitris Samaras
Chong Chen
DiffM
146
4
0
22 Oct 2024
When Witnesses Defend: A Witness Graph Topological Layer for Adversarial Graph Learning
When Witnesses Defend: A Witness Graph Topological Layer for Adversarial Graph Learning
Naheed Anjum Arafat
D. Basu
Yulia R. Gel
Yuzhou Chen
AAML
460
1
0
21 Sep 2024
PI-Att: Topology Attention for Segmentation Networks through Adaptive
  Persistence Image Representation
PI-Att: Topology Attention for Segmentation Networks through Adaptive Persistence Image Representation
Mehmet Bahadir Erden
S. Unver
I. A. Gurses
R. Turkay
C. Gunduz-Demir
68
0
0
15 Aug 2024
SIMAP: A simplicial-map layer for neural networks
SIMAP: A simplicial-map layer for neural networks
Rocio Gonzalez-Diaz
Miguel A. Gutiérrez-Naranjo
Eduardo Paluzo-Hidalgo
FAtt
21
0
0
22 Mar 2024
Geometry-Informed Neural Networks
Geometry-Informed Neural Networks
Arturs Berzins
Andreas Radler
Sebastian Sanokowski
Sepp Hochreiter
Johannes Brandstetter
GANAI4CE
80
4
0
21 Feb 2024
Position: Topological Deep Learning is the New Frontier for Relational
  Learning
Position: Topological Deep Learning is the New Frontier for Relational Learning
Theodore Papamarkou
Tolga Birdal
Michael M. Bronstein
Gunnar Carlsson
Justin Curry
...
Petar Velickovic
Bei Wang
Yusu Wang
Guo-Wei Wei
Ghada Zamzmi
AI4CE
99
35
0
14 Feb 2024
Learning Persistent Community Structures in Dynamic Networks via
  Topological Data Analysis
Learning Persistent Community Structures in Dynamic Networks via Topological Data Analysis
Dexu Kong
Anping Zhang
Yang Li
75
1
0
06 Jan 2024
GLiDR: Topologically Regularized Graph Generative Network for Sparse
  LiDAR Point Clouds
GLiDR: Topologically Regularized Graph Generative Network for Sparse LiDAR Point Clouds
Prashant Kumar
Kshitij Madhav Bhat
Vedang Bhupesh Shenvi Nadkarni
P. K. Kalra
90
2
0
29 Nov 2023
Algebraic Topological Networks via the Persistent Local Homology Sheaf
Algebraic Topological Networks via the Persistent Local Homology Sheaf
Gabriele Cesa
Arash Behboodi
53
1
0
16 Nov 2023
Rethinking the Construction of Effective Metrics for Understanding the
  Mechanisms of Pretrained Language Models
Rethinking the Construction of Effective Metrics for Understanding the Mechanisms of Pretrained Language Models
You Li
Jinhui Yin
Yuming Lin
63
0
0
19 Oct 2023
Differentiable Euler Characteristic Transforms for Shape Classification
Differentiable Euler Characteristic Transforms for Shape Classification
Ernst Röell
Bastian Rieck
97
7
0
11 Oct 2023
The Key to Deobfuscation is Pattern of Life, not Overcoming Encryption
The Key to Deobfuscation is Pattern of Life, not Overcoming Encryption
Taylor Henderson
Eric Osterweil
Pavan Kumar Dinesh
Robert Simon
24
0
0
04 Oct 2023
Topological Node2vec: Enhanced Graph Embedding via Persistent Homology
Topological Node2vec: Enhanced Graph Embedding via Persistent Homology
Yasuaki Hiraoka
Yusuke Imoto
Killian Meehan
Théo Lacombe
Toshiaki Yachimura
51
5
0
15 Sep 2023
Decorrelating neurons using persistence
Decorrelating neurons using persistence
Rubén Ballester
Carles Casacuberta
Sergio Escalera
61
1
0
09 Aug 2023
Topology-Aware Loss for Aorta and Great Vessel Segmentation in Computed
  Tomography Images
Topology-Aware Loss for Aorta and Great Vessel Segmentation in Computed Tomography Images
Seher Ozcelik
S. Unver
I. A. Gurses
R. Turkay
Cigdem Demir
75
1
0
06 Jul 2023
Metric Space Magnitude and Generalisation in Neural Networks
Metric Space Magnitude and Generalisation in Neural Networks
R. Andreeva
K. Limbeck
Bastian Rieck
Rik Sarkar
OOD
68
7
0
09 May 2023
GRIL: A $2$-parameter Persistence Based Vectorization for Machine
  Learning
GRIL: A 222-parameter Persistence Based Vectorization for Machine Learning
Cheng Xin
Soham Mukherjee
Shreyas N. Samaga
T. Dey
105
15
0
11 Apr 2023
Importance attribution in neural networks by means of persistence
  landscapes of time series
Importance attribution in neural networks by means of persistence landscapes of time series
Aina Ferrà
Carles Casacuberta
O. Pujol
AI4TS
65
4
0
06 Feb 2023
Deep Invertible Approximation of Topologically Rich Maps between
  Manifolds
Deep Invertible Approximation of Topologically Rich Maps between Manifolds
Michael Puthawala
Matti Lassas
Ivan Dokmanić
Pekka Pankka
Maarten V. de Hoop
MedIm
70
0
0
02 Oct 2022
Convolutional Persistence Transforms
Convolutional Persistence Transforms
Yitzchak Elchanan Solomon
Paul Bendich
36
1
0
03 Aug 2022
Rethinking Persistent Homology for Visual Recognition
Rethinking Persistent Homology for Visual Recognition
Ekaterina Khramtsova
Guido Zuccon
Xi Wang
Mahsa Baktashmotlagh
28
5
0
09 Jul 2022
On the effectiveness of persistent homology
On the effectiveness of persistent homology
Renata Turkevs
Guido Montúfar
N. Otter
110
31
0
21 Jun 2022
On the Convergence of Optimizing Persistent-Homology-Based Losses
On the Convergence of Optimizing Persistent-Homology-Based Losses
Yikai Zhang
Jiacheng Yao
Yusu Wang
Chao Chen
124
1
0
06 Jun 2022
Faster Optimization on Sparse Graphs via Neural Reparametrization
Faster Optimization on Sparse Graphs via Neural Reparametrization
Nima Dehmamy
C. Both
J. Long
Rose Yu
49
1
0
26 May 2022
BERTops: Studying BERT Representations under a Topological Lens
BERTops: Studying BERT Representations under a Topological Lens
Jatin Chauhan
Manohar Kaul
70
4
0
02 May 2022
Topology-Preserving Dimensionality Reduction via Interleaving
  Optimization
Topology-Preserving Dimensionality Reduction via Interleaving Optimization
Bradley J. Nelson
Yuan Luo
47
5
0
31 Jan 2022
Leveraging The Topological Consistencies of Learning in Deep Neural
  Networks
Leveraging The Topological Consistencies of Learning in Deep Neural Networks
Stuart Synakowski
Fabian Benitez-Quiroz
Aleix M. Martinez
21
0
0
30 Nov 2021
Nonparametric Topological Layers in Neural Networks
Nonparametric Topological Layers in Neural Networks
Dongfang Zhao
120
0
0
27 Nov 2021
Intrinsic Dimension, Persistent Homology and Generalization in Neural
  Networks
Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks
Tolga Birdal
Aaron Lou
Leonidas Guibas
Umut cSimcsekli
73
65
0
25 Nov 2021
Topological Regularization for Dense Prediction
Topological Regularization for Dense Prediction
Deqing Fu
Bradley J. Nelson
MDE
38
0
0
22 Nov 2021
Topologically penalized regression on manifolds
Topologically penalized regression on manifolds
Olympio Hacquard
Krishnakumar Balasubramanian
Gilles Blanchard
Clément Levrard
W. Polonik
85
4
0
26 Oct 2021
Activation Landscapes as a Topological Summary of Neural Network
  Performance
Activation Landscapes as a Topological Summary of Neural Network Performance
Matthew Wheeler
Jose J. Bouza
Peter Bubenik
73
19
0
19 Oct 2021
Topologically Regularized Data Embeddings
Topologically Regularized Data Embeddings
R. Vandaele
Bo Kang
Jefrey Lijffijt
T. D. Bie
Yvan Saeys
35
9
0
18 Oct 2021
Persistent Homology with Improved Locality Information for more
  Effective Delineation
Persistent Homology with Improved Locality Information for more Effective Delineation
Doruk Öner
A. Garin
Mateusz Koziñski
K. Hess
Pascal Fua
70
9
0
12 Oct 2021
Artificial Text Detection via Examining the Topology of Attention Maps
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
A Gradient Sampling Algorithm for Stratified Maps with Applications to
  Topological Data Analysis
A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis
Jacob Leygonie
Mathieu Carrière
Théo Lacombe
S. Oudot
41
9
0
01 Sep 2021
A persistent homology-based topological loss for CNN-based multi-class
  segmentation of CMR
A persistent homology-based topological loss for CNN-based multi-class segmentation of CMR
Nicholas Byrne
J. Clough
I. Valverde
Giovanni Montana
A. King
82
26
0
27 Jul 2021
Augmenting Molecular Deep Generative Models with Topological Data
  Analysis Representations
Augmenting Molecular Deep Generative Models with Topological Data Analysis Representations
Yair Schiff
Vijil Chenthamarakshan
Samuel C. Hoffman
Karthikeyan N. Ramamurthy
Payel Das
MedIm
60
10
0
08 Jun 2021
Priors in Bayesian Deep Learning: A Review
Priors in Bayesian Deep Learning: A Review
Vincent Fortuin
UQCVBDL
137
133
0
14 May 2021
Topological Information Retrieval with Dilation-Invariant Bottleneck
  Comparative Measures
Topological Information Retrieval with Dilation-Invariant Bottleneck Comparative Measures
Yueqi Cao
Athanasios Vlontzos
Luca Schmidtke
Bernhard Kainz
Anthea Monod
51
3
0
04 Apr 2021
A Multi-parameter Persistence Framework for Mathematical Morphology
A Multi-parameter Persistence Framework for Mathematical Morphology
Yu-Min Chung
S. Day
Chuan-Shen Hu
17
13
0
24 Mar 2021
Topological Deep Learning: Classification Neural Networks
Topological Deep Learning: Classification Neural Networks
Mustafa Hajij
Kyle Istvan
53
5
0
16 Feb 2021
Classification based on Topological Data Analysis
Classification based on Topological Data Analysis
R. Kindelan
J. Frías
Mauricio Cerda
N. Hitschfeld-Kahler
21
7
0
07 Feb 2021
Domain Adaptation by Topology Regularization
Domain Adaptation by Topology Regularization
Deborah Weeks
Samuel Rivera
OOD
13
1
0
28 Jan 2021
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