Line Graph Vietoris-Rips Persistence Diagram for Topological Graph Representation Learning
Fuente:
arXiv
Saved in:
| Main Authors: | Shin, Jaesun, Jeon, Eunjoo, Cho, Taewon, Cho, Namkyeong, Gwon, Youngjune |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Topological Quality of Subsets via Persistence Matching Diagrams
by: Torras-Casas, Álvaro, et al.
Published: (2023)
by: Torras-Casas, Álvaro, et al.
Published: (2023)
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
by: Mukherjee, Soham, et al.
Published: (2024)
by: Mukherjee, Soham, et al.
Published: (2024)
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
by: Komendarczyk, Rafal, et al.
Published: (2025)
by: Komendarczyk, Rafal, et al.
Published: (2025)
Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
by: Pegoraro, Matteo
Published: (2025)
by: Pegoraro, Matteo
Published: (2025)
Graphs and Their Vietoris-Rips Complexes Have the Same Pseudotopological Weak Homotopy Type
by: Treviño-Marroquín, Jonathan
Published: (2024)
by: Treviño-Marroquín, Jonathan
Published: (2024)
Cohomological properties of the Vietoris--Rips Complex of a Hypercube Graph
by: Bendersky, Martin, et al.
Published: (2026)
by: Bendersky, Martin, et al.
Published: (2026)
A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models
by: Hu, Chuan-Shen
Published: (2026)
by: Hu, Chuan-Shen
Published: (2026)
The Shadow of Vietoris--Rips Complexes in Limits
by: Kawamura, Kazuhiro, et al.
Published: (2026)
by: Kawamura, Kazuhiro, et al.
Published: (2026)
Facets in the Vietoris--Rips complexes of hypercubes
by: Briggs, Joseph, et al.
Published: (2024)
by: Briggs, Joseph, et al.
Published: (2024)
Persistent Homology for MCI Classification: A Comparative Analysis between Graph and Vietoris-Rips Filtrations
by: Bhattacharya, Debanjali, et al.
Published: (2024)
by: Bhattacharya, Debanjali, et al.
Published: (2024)
Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
by: Lim, Sunhyuk, et al.
Published: (2020)
by: Lim, Sunhyuk, et al.
Published: (2020)
Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells
by: Ji, Mattie, et al.
Published: (2026)
by: Ji, Mattie, et al.
Published: (2026)
Vulnerability Detection via Topological Analysis of Attention Maps
by: Snopov, Pavel, et al.
Published: (2024)
by: Snopov, Pavel, et al.
Published: (2024)
Boosting Graph Pooling with Persistent Homology
by: Ying, Chaolong, et al.
Published: (2024)
by: Ying, Chaolong, et al.
Published: (2024)
Topological Machine Learning with Unreduced Persistence Diagrams
by: Abreu, Nicole, et al.
Published: (2025)
by: Abreu, Nicole, et al.
Published: (2025)
On $\ell_p$-Vietoris-Rips complexes
by: Ivanov, Sergei O., et al.
Published: (2024)
by: Ivanov, Sergei O., et al.
Published: (2024)
Anti-Vietoris--Rips metric thickenings and Borsuk graphs
by: Adams, Henry, et al.
Published: (2025)
by: Adams, Henry, et al.
Published: (2025)
The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
by: Fay, Aideen, et al.
Published: (2025)
by: Fay, Aideen, et al.
Published: (2025)
The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm
by: Koyama, Musashi Ayrton, et al.
Published: (2024)
by: Koyama, Musashi Ayrton, et al.
Published: (2024)
Dynamic Neural Dowker Network: Approximating Persistent Homology in Dynamic Directed Graphs
by: Li, Hao, et al.
Published: (2024)
by: Li, Hao, et al.
Published: (2024)
A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification
by: Majhi, Sushovan, et al.
Published: (2026)
by: Majhi, Sushovan, et al.
Published: (2026)
CuMPerLay: Learning Cubical Multiparameter Persistence Vectorizations
by: Korkmaz, Caner, et al.
Published: (2025)
by: Korkmaz, Caner, et al.
Published: (2025)
Topological Signatures of ReLU Neural Network Activation Patterns
by: Bosca, Vicente, et al.
Published: (2025)
by: Bosca, Vicente, et al.
Published: (2025)
Topological Persistence Guided Knowledge Distillation for Wearable Sensor Data
by: Jeon, Eun Som, et al.
Published: (2024)
by: Jeon, Eun Som, et al.
Published: (2024)
No Triangulation Without Representation: Generalization in Topological Deep Learning
by: Schmidt, Johannes S., et al.
Published: (2026)
by: Schmidt, Johannes S., et al.
Published: (2026)
Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
by: García-Redondo, Inés, et al.
Published: (2022)
by: García-Redondo, Inés, et al.
Published: (2022)
Trainable and Explainable Simplicial Map Neural Networks
by: Paluzo-Hidalgo, Eduardo, et al.
Published: (2023)
by: Paluzo-Hidalgo, Eduardo, et al.
Published: (2023)
Generalized Simplicial Attention Neural Networks
by: Battiloro, Claudio, et al.
Published: (2023)
by: Battiloro, Claudio, et al.
Published: (2023)
Filtration-Based Representation Learning for Temporal Graphs
by: Chowdhury, Samrik, et al.
Published: (2025)
by: Chowdhury, Samrik, et al.
Published: (2025)
Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
by: Dey, Tamal K., et al.
Published: (2025)
by: Dey, Tamal K., et al.
Published: (2025)
TUN: Detecting Significant Points in Persistence Diagrams with Deep Learning
by: Chen, Yu, et al.
Published: (2025)
by: Chen, Yu, et al.
Published: (2025)
Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration
by: Koyama, Musashi Ayrton, et al.
Published: (2023)
by: Koyama, Musashi Ayrton, et al.
Published: (2023)
A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction
by: May, Nathan H., et al.
Published: (2023)
by: May, Nathan H., et al.
Published: (2023)
Attending to Topological Spaces: The Cellular Transformer
by: Ballester, Rubén, et al.
Published: (2024)
by: Ballester, Rubén, et al.
Published: (2024)
Cover Learning for Large-Scale Topology Representation
by: Scoccola, Luis, et al.
Published: (2025)
by: Scoccola, Luis, et al.
Published: (2025)
Convolutional Persistence Transforms
by: Solomon, Elchanan, et al.
Published: (2022)
by: Solomon, Elchanan, et al.
Published: (2022)
Point-Level Topological Representation Learning on Point Clouds
by: Grande, Vincent P., et al.
Published: (2024)
by: Grande, Vincent P., et al.
Published: (2024)
Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity
by: Eitan, Yam, et al.
Published: (2024)
by: Eitan, Yam, et al.
Published: (2024)
Vietoris-Rips complexes of torus grids
by: Adams, Henry, et al.
Published: (2025)
by: Adams, Henry, et al.
Published: (2025)
Persistent Homology with Selective Rips complexes detects geodesic circles
by: Virk, Žiga
Published: (2021)
by: Virk, Žiga
Published: (2021)
Similar Items
-
Topological Quality of Subsets via Persistence Matching Diagrams
by: Torras-Casas, Álvaro, et al.
Published: (2023) -
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
by: Mukherjee, Soham, et al.
Published: (2024) -
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
by: Komendarczyk, Rafal, et al.
Published: (2025) -
Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
by: Pegoraro, Matteo
Published: (2025) -
Graphs and Their Vietoris-Rips Complexes Have the Same Pseudotopological Weak Homotopy Type
by: Treviño-Marroquín, Jonathan
Published: (2024)