Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
Fuente:
arXiv
Saved in:
| Main Authors: | Loiseaux, David, Carrière, Mathieu, Blumberg, Andrew J. |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Projected distances for multi-parameter persistence modules
by: Berkouk, Nicolas, et al.
Published: (2022)
by: Berkouk, Nicolas, et al.
Published: (2022)
Differentiability and Optimization of Multiparameter Persistent Homology
by: Scoccola, Luis, et al.
Published: (2024)
by: Scoccola, Luis, et al.
Published: (2024)
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)
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)
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)
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)
Differentiable Mapper For Topological Optimization Of Data Representation
by: Oulhaj, Ziyad, et al.
Published: (2024)
by: Oulhaj, Ziyad, et al.
Published: (2024)
Foundation of Floer homotopy theory I: Flow categories
by: Abouzaid, Mohammed, et al.
Published: (2024)
by: Abouzaid, Mohammed, et al.
Published: (2024)
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)
Counts and end-curves in two-parameter persistence
by: Brüstle, Thomas, et al.
Published: (2025)
by: Brüstle, Thomas, et al.
Published: (2025)
Quantum encodings that preserve persistent homology
by: Parzygnat, Arthur J., et al.
Published: (2026)
by: Parzygnat, Arthur J., et al.
Published: (2026)
Universality of persistence diagrams and the bottleneck and Wasserstein distances
by: Bubenik, Peter, et al.
Published: (2019)
by: Bubenik, Peter, et al.
Published: (2019)
Persistence-based topological optimization: a survey
by: Carriere, Mathieu, et al.
Published: (2026)
by: Carriere, Mathieu, et al.
Published: (2026)
Computation of $γ$-linear projected barcodes for multiparameter persistence
by: Fernandes, Alex, et al.
Published: (2024)
by: Fernandes, Alex, et al.
Published: (2024)
Time-optimal persistent homology representatives for univariate time series
by: Leitao, Antonio, et al.
Published: (2024)
by: Leitao, Antonio, et al.
Published: (2024)
Graph invariants from the topology of rigid isotopy classes
by: Belotti, Mara, et al.
Published: (2020)
by: Belotti, Mara, et al.
Published: (2020)
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)
Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules
by: Dey, Tamal K., et al.
Published: (2024)
by: Dey, Tamal K., et al.
Published: (2024)
Sparse Approximation of the Subdivision-Rips Bifiltration for Doubling Metrics
by: Lesnick, Michael, et al.
Published: (2024)
by: Lesnick, Michael, et al.
Published: (2024)
Stability and Approximations for Decorated Reeb Spaces
by: Curry, Justin, et al.
Published: (2023)
by: Curry, Justin, et al.
Published: (2023)
Discrete transforms of quantized persistence diagrams
by: Van Huffel, Michael Etienne, et al.
Published: (2023)
by: Van Huffel, Michael Etienne, et al.
Published: (2023)
Shoving tubes through shapes gives a sufficient and efficient shape statistic
by: Onus, Adam, et al.
Published: (2024)
by: Onus, Adam, et al.
Published: (2024)
On derived D-modules and their several definitions
by: Buccisano, Carlo
Published: (2025)
by: Buccisano, Carlo
Published: (2025)
Characteristic Currents on Cohesive Modules
by: Han, Zhaobo Tom
Published: (2024)
by: Han, Zhaobo Tom
Published: (2024)
The stable cohomology of the moduli space of curves with level structures
by: Putman, Andrew
Published: (2022)
by: Putman, Andrew
Published: (2022)
Representing two-parameter persistence modules via graphcodes
by: Kerber, Michael, et al.
Published: (2025)
by: Kerber, Michael, et al.
Published: (2025)
Decomposing zero-dimensional persistent homology over rooted tree quivers
by: Bindua, Riju, et al.
Published: (2024)
by: Bindua, Riju, et al.
Published: (2024)
A new transversality condition on orbifolds and integer-valued Gromov-Witten type invariants
by: Bai, Shaoyun, et al.
Published: (2022)
by: Bai, Shaoyun, et al.
Published: (2022)
ToMAToMP: Robust and Multi-Parameter Topological Clustering
by: Andrianirina, Ludo, et al.
Published: (2026)
by: Andrianirina, Ludo, et al.
Published: (2026)
N^d-indexed persistence modules, higher dimensional partitions and rank invariants
by: Nategh, Mehdi, et al.
Published: (2025)
by: Nategh, Mehdi, et al.
Published: (2025)
On the invariance of the string topology coproduct
by: Wahl, Nathalie
Published: (2019)
by: Wahl, Nathalie
Published: (2019)
Kan Approximations of the Persistent Homology Transform
by: Arya, Shreya, et al.
Published: (2025)
by: Arya, Shreya, et al.
Published: (2025)
Too Many or Too Few? Sampling Bounds for Topological Descriptors
by: Fasy, Brittany Terese, et al.
Published: (2025)
by: Fasy, Brittany Terese, et al.
Published: (2025)
Computing Diffusion Geometry
by: Jones, Iolo, et al.
Published: (2026)
by: Jones, Iolo, et al.
Published: (2026)
Almost mathematics, Persistence module, and Tamarkin category
by: Kuwagaki, Tatsuki, et al.
Published: (2025)
by: Kuwagaki, Tatsuki, et al.
Published: (2025)
Efficient Algorithms for Complexes of Persistence Modules with Applications
by: Dey, Tamal K., et al.
Published: (2024)
by: Dey, Tamal K., et al.
Published: (2024)
Zig-Zag Modules: Cosheaves and K-Theory
by: Grady, Ryan E., et al.
Published: (2021)
by: Grady, Ryan E., et al.
Published: (2021)
The stable homology of Hurwitz modules and applications
by: Landesman, Aaron, et al.
Published: (2025)
by: Landesman, Aaron, et al.
Published: (2025)
Syzygies and Koszul modules in geometry
by: Farkas, Gavril
Published: (2026)
by: Farkas, Gavril
Published: (2026)
Harder-Narasimhan filtrations of persistence modules: metric stability
by: Fersztand, Marc
Published: (2024)
by: Fersztand, Marc
Published: (2024)
Similar Items
-
Projected distances for multi-parameter persistence modules
by: Berkouk, Nicolas, et al.
Published: (2022) -
Differentiability and Optimization of Multiparameter Persistent Homology
by: Scoccola, Luis, et al.
Published: (2024) -
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
by: Loiseaux, David, et al.
Published: (2023) -
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
by: Botnan, Magnus Bakke, et al.
Published: (2022) -
Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
by: Blumberg, Andrew J., et al.
Published: (2024)