Cover Image

Filtration learning in exact multi-parameter persistent homology and classification of time-series data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kim, Keunsu, Jung, Jae-Hun
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control Algebraic Topology Machine Learning 37M10, 55N31, 65K10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences
by: Kim, Keunsu, et al.
Published: (2022)

Improving Topological Detection of Weather Regimes in climate dynamical systems
by: Anbouhi, Soheil
Published: (2026)

Dowker's theorem for higher-order relations
by: de Silva, Vin, et al.
Published: (2025)

Topological feature selection for time series data
by: Bubenik, Peter, et al.
Published: (2023)

Conley-Morse persistence barcode: a homological signature of combinatorial bifurcations
by: Dey, Tamal K., et al.
Published: (2025)

Limit Theorems for Verbose Persistence Diagrams
by: Joe, Jeong-hwi, et al.
Published: (2025)

Monoidal Rips: Stable Multiparameter Filtrations of Directed Networks
by: Blaser, Nello, et al.
Published: (2025)

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
by: Kasprowski, Daniel, et al.
Published: (2020)

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings
by: Yim, Ka Man
Published: (2025)

An exact sequence for generalized string links over surfaces
by: de Lima, Juliana Roberta Theodoro
Published: (2022)

Identifying cobordisms using kernel persistence
by: Bleile, Yossi Bokor, et al.
Published: (2025)

A Unified View on the Functorial Nerve Theorem and its Variations
by: Bauer, Ulrich, et al.
Published: (2022)

Notes on abelianity of categories of finitely encoded persistence modules
by: Waas, Lukas
Published: (2024)

Topological and metric properties of spaces of generalized persistence diagrams
by: Bubenik, Peter, et al.
Published: (2022)

Discrete Consensus-Based Optimization
by: Byeon, Junhyeok, et al.
Published: (2024)

Persistent Khovanov homology of tangles
by: Liu, Jian, et al.
Published: (2024)

Braiding vineyards
by: Chambers, Erin, et al.
Published: (2025)

Morse theory for chromatic Delaunay triangulations
by: Natarajan, Abhinav, et al.
Published: (2024)

Ephemeral persistence features and the stability of filtered chain complexes
by: Mémoli, Facundo, et al.
Published: (2022)

The cohomology of the connective spectra for {K}-theory revisited
by: Davis, Donald M., et al.
Published: (2024)

The Walk-Length Filtration for Persistent Homology on Weighted Directed Graphs
by: Muñoz, David E., et al.
Published: (2025)

Morse-Bott-Smale chain complex
by: Orita, Ryuma, et al.
Published: (2025)

On rank filtrations of algebraic K-theory and Steinberg modules
by: Miller, Jeremy, et al.
Published: (2023)

On the (super)additivity of simplicial volume
by: Capovilla, Pietro
Published: (2023)

Function-Rips complexes in persistent homotopy theory: Local stability and Latschev theorems
by: Oudot, Steve, et al.
Published: (2026)

Douglas--Rachford algorithm for control-constrained minimum-energy control problems
by: Burachik, Regina S., et al.
Published: (2022)

Multiparameter persistence modules in the large scale
by: Frankland, Martin, et al.
Published: (2022)

Global-in-time Well-posedness of the One-dimensional Hydrodynamic Gross-Pitaevskii Equations without Vacuum
by: Wegner, Robert
Published: (2023)

Stabilizing decomposition of multiparameter persistence modules
by: Bjerkevik, Håvard Bakke
Published: (2023)

Critical edges in Rips complexes and persistence
by: Goričan, Peter, et al.
Published: (2023)

Discrete Level Set Persistence for Finite Discrete Functions
by: Belton, Robin, et al.
Published: (2025)

Persistent Homology of Time Series through Complex Networks
by: Güzel, İsmail
Published: (2026)

Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
by: Timofeyev, Tobias, et al.
Published: (2026)

Estimation of Persistence Diagrams via the Three Gap Theorem
by: Salas, Luis Suarez, et al.
Published: (2026)

Suspension splittings of 5-dimensional Poincaré duality complexes and their applications
by: Amelotte, Steven, et al.
Published: (2023)

Persistent magnitude homology on finite metric space
by: Bi, Wanying, et al.
Published: (2026)

Periodicity Uncovered: A Deep Dive into Bott's Theorems in K-Theory and Fiber Bundles
by: Feng, Ivan Z.
Published: (2025)

Cell decompositions of persistent minimal models
by: Hess, Kathryn, et al.
Published: (2023)

On the rank of the double cohomology of moment-angle complexes
by: Zhang, Zhilei
Published: (2024)

Harder-Narasimhan Filtrations of Persistence Modules
by: Fersztand, Marc, et al.
Published: (2023)