Stability for Inference with Persistent Homology Rank Functions
Fuente:
arXiv
Saved in:
| Main Authors: | Wang, Qiquan, García-Redondo, Inés, Faugère, Pierre, Henselman-Petrusek, Gregory, Monod, Anthea |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Stability for Inference with Persistent Homology Rank Functions
by: Qiquan Wang, et al.
Published: (2024)
by: Qiquan Wang, et al.
Published: (2024)
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)
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)
Confidence Bands for Multiparameter Persistence Landscapes
by: García-Redondo, Inés, et al.
Published: (2025)
by: García-Redondo, Inés, et al.
Published: (2025)
A U-match Algorithm for Persistent Relative Homology
by: Lentz, Christian, et al.
Published: (2026)
by: Lentz, Christian, et al.
Published: (2026)
Interval Decomposition of Infinite Persistence Modules over a Principal Ideal Domain and Field Choice in Persistent Homology
by: Luo, Jiajie, et al.
Published: (2025)
by: Luo, Jiajie, et al.
Published: (2025)
Interval Decomposition of Persistence Modules over a Principal Ideal Domain
by: Luo, Jiajie, et al.
Published: (2023)
by: Luo, Jiajie, et al.
Published: (2023)
A Topological Gaussian Mixture Model for Bone Marrow Morphology in Leukaemia
by: Wang, Qiquan, et al.
Published: (2024)
by: Wang, Qiquan, et al.
Published: (2024)
Persistent Homology via Ellipsoids
by: Canova, Niklas, et al.
Published: (2024)
by: Canova, Niklas, et al.
Published: (2024)
Generalized Persistent Laplacians and their Spectral Properties
by: Wolf, Arne, et al.
Published: (2025)
by: Wolf, Arne, et al.
Published: (2025)
Boosting Graph Pooling with Persistent Homology
by: Ying, Chaolong, et al.
Published: (2024)
by: Ying, Chaolong, et al.
Published: (2024)
Torsion in Persistent Homology and Neural Networks
by: Walch, Maria
Published: (2025)
by: Walch, Maria
Published: (2025)
Persistent Homology for High-dimensional Data Based on Spectral Methods
by: Damrich, Sebastian, et al.
Published: (2023)
by: Damrich, Sebastian, et al.
Published: (2023)
Cosmology with Persistent Homology: Parameter Inference via Machine Learning
by: Calles, Juan, et al.
Published: (2024)
by: Calles, Juan, 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)
Persistent Homological State-Space Estimation of Functional Human Brain Networks at Rest
by: Chung, Moo K., et al.
Published: (2022)
by: Chung, Moo K., et al.
Published: (2022)
Persistent Homology as Stopping-Criterion for Voronoi Interpolation
by: Melodia, Luciano, et al.
Published: (2019)
by: Melodia, Luciano, et al.
Published: (2019)
Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series
by: Barrios, Jhonathan, et al.
Published: (2026)
by: Barrios, Jhonathan, et al.
Published: (2026)
Mathematical Insights into Protein Architecture: Persistent Homology and Machine Learning Applied to the Flagellar Motor
by: Lamine, Zakaria, et al.
Published: (2025)
by: Lamine, Zakaria, et al.
Published: (2025)
Non-isotropic Persistent Homology: Leveraging the Metric Dependency of PH
by: Grande, Vincent P., et al.
Published: (2023)
by: Grande, Vincent P., et al.
Published: (2023)
Dynamical System Parameter Path Optimization using Persistent Homology
by: Chumley, Max M., et al.
Published: (2025)
by: Chumley, Max M., et al.
Published: (2025)
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
by: Loiseaux, David, et al.
Published: (2023)
by: Loiseaux, David, et al.
Published: (2023)
PHLP: Sole Persistent Homology for Link Prediction - Interpretable Feature Extraction
by: You, Junwon, et al.
Published: (2024)
by: You, Junwon, et al.
Published: (2024)
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)
Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
by: Pegoraro, Matteo
Published: (2025)
by: Pegoraro, Matteo
Published: (2025)
Tracking the topology of neural manifolds across populations
by: Yoon, Iris H. R., et al.
Published: (2025)
by: Yoon, Iris H. R., et al.
Published: (2025)
Convolutional Persistence Transforms
by: Solomon, Elchanan, et al.
Published: (2022)
by: Solomon, Elchanan, et al.
Published: (2022)
Persistent Homology via Finite Topological Spaces
by: Kayacan, Selçuk
Published: (2025)
by: Kayacan, Selçuk
Published: (2025)
xPerT: Extended Persistence Transformer
by: Kim, Sehun
Published: (2024)
by: Kim, Sehun
Published: (2024)
Topological Signatures of Grokking
by: Tang, Yifan, et al.
Published: (2026)
by: Tang, Yifan, et al.
Published: (2026)
Persistence kernels for classification: A comparative study
by: Bandiziol, Cinzia, et al.
Published: (2024)
by: Bandiziol, Cinzia, et al.
Published: (2024)
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)
Directed Homology and Persistence Modules
by: Goubault, Eric
Published: (2023)
by: Goubault, Eric
Published: (2023)
Galois Connections in Persistent Homology
by: Gulen, Aziz Burak, et al.
Published: (2022)
by: Gulen, Aziz Burak, et al.
Published: (2022)
Approximating Persistent Homology for Large Datasets
by: Cao, Yueqi, et al.
Published: (2022)
by: Cao, Yueqi, et al.
Published: (2022)
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)
Universality in Random Persistent Homology and Scale-Invariant Functionals
by: Bobrowski, Omer, et al.
Published: (2024)
by: Bobrowski, Omer, 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)
An Exposition on the Algebra and Computation of Persistent Homology
by: Ranoa, Jason
Published: (2024)
by: Ranoa, Jason
Published: (2024)
A Quotient Homology Theory of Representation in Neural Networks
by: Beshkov, Kosio
Published: (2025)
by: Beshkov, Kosio
Published: (2025)
Similar Items
-
Stability for Inference with Persistent Homology Rank Functions
by: Qiquan Wang, et al.
Published: (2024) -
The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
by: Fay, Aideen, et al.
Published: (2025) -
Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
by: García-Redondo, Inés, et al.
Published: (2022) -
Confidence Bands for Multiparameter Persistence Landscapes
by: García-Redondo, Inés, et al.
Published: (2025) -
A U-match Algorithm for Persistent Relative Homology
by: Lentz, Christian, et al.
Published: (2026)