Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
Fuente:
arXiv
Saved in:
| Main Authors: | Loiseaux, David, Scoccola, Luis, Carrière, Mathieu, Botnan, Magnus Bakke, Oudot, Steve |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Differentiability and Optimization of Multiparameter Persistent Homology
by: Scoccola, Luis, et al.
Published: (2024)
by: Scoccola, Luis, et al.
Published: (2024)
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
by: Botnan, Magnus Bakke, et al.
Published: (2021)
by: Botnan, Magnus Bakke, et al.
Published: (2021)
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
by: Botnan, Magnus Bakke, et al.
Published: (2022)
by: Botnan, Magnus Bakke, et al.
Published: (2022)
Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
by: Loiseaux, David, et al.
Published: (2022)
by: Loiseaux, David, et al.
Published: (2022)
Universal Distances for Extended Persistence
by: Bauer, Ulrich, et al.
Published: (2020)
by: Bauer, Ulrich, et al.
Published: (2020)
Extremal Betti Numbers and Persistence in Flag Complexes
by: Beers, Lies, et al.
Published: (2025)
by: Beers, Lies, et al.
Published: (2025)
On the stability of multigraded Betti numbers and Hilbert functions
by: Oudot, Steve, et al.
Published: (2021)
by: Oudot, Steve, et al.
Published: (2021)
Estimating the persistent homology of $\mathbb{R}^n$-valued functions using function-geometric multifiltrations
by: André, Ethan, et al.
Published: (2024)
by: André, Ethan, et al.
Published: (2024)
Counts and end-curves in two-parameter persistence
by: Brüstle, Thomas, et al.
Published: (2025)
by: Brüstle, Thomas, et al.
Published: (2025)
Persistence-based topological optimization: a survey
by: Carriere, Mathieu, et al.
Published: (2026)
by: Carriere, Mathieu, et al.
Published: (2026)
Probabilistic Analysis of Multiparameter Persistence Decompositions
by: Alonso, Ángel Javier, et al.
Published: (2024)
by: Alonso, Ángel Javier, et al.
Published: (2024)
Differentiable Mapper For Topological Optimization Of Data Representation
by: Oulhaj, Ziyad, et al.
Published: (2024)
by: Oulhaj, Ziyad, et al.
Published: (2024)
Computation of $γ$-linear projected barcodes for multiparameter persistence
by: Fernandes, Alex, et al.
Published: (2024)
by: Fernandes, Alex, et al.
Published: (2024)
Persistent Homology as Stopping-Criterion for Voronoi Interpolation
by: Melodia, Luciano, et al.
Published: (2019)
by: Melodia, Luciano, et al.
Published: (2019)
Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent
by: Carrière, Mathieu, et al.
Published: (2024)
by: Carrière, Mathieu, et al.
Published: (2024)
Deformations, Derived Categories, and Multiparameter Persistence: A Theoretical Framework
by: Angel, Mauricio
Published: (2026)
by: Angel, Mauricio
Published: (2026)
Cover Learning for Large-Scale Topology Representation
by: Scoccola, Luis, et al.
Published: (2025)
by: Scoccola, Luis, et al.
Published: (2025)
Analyzing Singular Patterns in Discrete Planar Vector Fields via Persistent Path Homology
by: Chen, Yu, et al.
Published: (2024)
by: Chen, Yu, et al.
Published: (2024)
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)
PHLP: Sole Persistent Homology for Link Prediction - Interpretable Feature Extraction
by: You, Junwon, et al.
Published: (2024)
by: You, Junwon, et al.
Published: (2024)
Confidence Bands for Multiparameter Persistence Landscapes
by: García-Redondo, Inés, et al.
Published: (2025)
by: García-Redondo, Inés, et al.
Published: (2025)
An Algebraic Introduction to Persistence
by: Bauer, Ulrich, et al.
Published: (2026)
by: Bauer, Ulrich, et al.
Published: (2026)
The Gestalt Computational Model by Persistent Homology
by: Chen, Yu, et al.
Published: (2024)
by: Chen, Yu, et al.
Published: (2024)
Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
by: Blumberg, Andrew J., et al.
Published: (2024)
by: Blumberg, Andrew J., 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)
On the additive image of 0th persistent homology
by: Bauer, Ulrich, et al.
Published: (2025)
by: Bauer, Ulrich, et al.
Published: (2025)
Keeping it sparse: Computing Persistent Homology revisited
by: Bauer, Ulrich, et al.
Published: (2022)
by: Bauer, Ulrich, et al.
Published: (2022)
Computing Betti tables and minimal presentations of zero-dimensional persistent homology
by: Luo, Yuan, et al.
Published: (2024)
by: Luo, Yuan, et al.
Published: (2024)
Dynamical Persistent Homology via Wasserstein Gradient Flow
by: Wang, Minghua, et al.
Published: (2024)
by: Wang, Minghua, et al.
Published: (2024)
Persistent Homology with Path-Representable Distances on Graph Data
by: Heo, Eunwoo, et al.
Published: (2025)
by: Heo, Eunwoo, et al.
Published: (2025)
Oriented Grassmannian Bundle, Normal Curvature Reduction, and Persistent Homology
by: Gang, Dongwoo
Published: (2025)
by: Gang, Dongwoo
Published: (2025)
Computing Representatives of Persistent Homology Generators with a Double Twist
by: Pham, Tuyen, et al.
Published: (2024)
by: Pham, Tuyen, et al.
Published: (2024)
Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory
by: Bauer, Ulrich, et al.
Published: (2022)
by: Bauer, Ulrich, et al.
Published: (2022)
Persistent Homology via Finite Topological Spaces
by: Kayacan, Selçuk
Published: (2025)
by: Kayacan, Selçuk
Published: (2025)
Persistent Homology for Labeled Datasets: Gromov-Hausdorff Stability and Generalized Landscapes
by: Fu, Yaoying, et al.
Published: (2025)
by: Fu, Yaoying, et al.
Published: (2025)
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)
Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
by: Wagner, Hubert, et al.
Published: (2024)
by: Wagner, Hubert, 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)
A Theory of Sub-Barcodes
by: Chubet, Oliver A., et al.
Published: (2022)
by: Chubet, Oliver A., et al.
Published: (2022)
Kan Approximations of the Persistent Homology Transform
by: Arya, Shreya, et al.
Published: (2025)
by: Arya, Shreya, et al.
Published: (2025)
Similar Items
-
Differentiability and Optimization of Multiparameter Persistent Homology
by: Scoccola, Luis, et al.
Published: (2024) -
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
by: Botnan, Magnus Bakke, et al.
Published: (2021) -
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
by: Botnan, Magnus Bakke, et al.
Published: (2022) -
Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
by: Loiseaux, David, et al.
Published: (2022) -
Universal Distances for Extended Persistence
by: Bauer, Ulrich, et al.
Published: (2020)