Cover Image

Differential Calculus and Optimization in Persistence Module Categories

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Oudot, Steve
Format:	Preprint
Published:	2024
Subjects:	Algebraic Topology Optimization and Control Representation Theory 55N31 (Primary) 16G20, 49J52, 90C15 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bipath Persistence as Zigzag Persistence
by: Alonso, Ángel Javier, et al.
Published: (2024)

Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules
by: Hanson, Eric J., et al.
Published: (2020)

Interval Replacements of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

Interval Multiplicities of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

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

Stability of Bipath Persistence Diagrams
by: Tada, Shunsuke
Published: (2025)

Decomposing Multiparameter Persistence Modules
by: Dey, Tamal K., et al.
Published: (2025)

Barcoding Invariants and Their Equivalent Discriminating Power
by: Escolar, Emerson G., et al.
Published: (2024)

Interleaving distances from height-difference functions on posets
by: Aoki, Toshitaka
Published: (2026)

Harder-Narasimhan filtrations of persistence modules: metric stability
by: Fersztand, Marc
Published: (2024)

An isometry theorem for persistent homology of circle-valued functions
by: Broomhead, Nathan, et al.
Published: (2025)

Grothendieck Topologies and Sheaf Theory for Data and Graphs: An Approach Through Cech Closure Spaces
by: Rieser, Antonio
Published: (2021)

The Jordan type of a multiparameter persistence module
by: Chindris, Calin, et al.
Published: (2025)

Bipath Persistence
by: Aoki, Toshitaka, et al.
Published: (2024)

Additive Partial Matchings Induced by Persistence Maps
by: Gonzalez-Diaz, R., et al.
Published: (2020)

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

Ephemeral Modules and Scott Sheaves on a Continuous Poset
by: Harsu, Manu, et al.
Published: (2024)

Persistence module and Schubert calculus
by: Hiraoka, Yasuaki, et al.
Published: (2024)

Operational Calculus on Curved Differentials: Optimal N-Complex Bounds and Persistent Homology
by: Angel, Mauricio
Published: (2026)

Complex Matching Distance and Stability for Minimal Projective Resolutions, with Applications to Persistence
by: Asashiba, Hideto, et al.
Published: (2026)

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

Equivariant cohomology of juggling varieties in rank one
by: Paul, Bidhan
Published: (2025)

Bigraded Betti numbers and Generalized Persistence Diagrams
by: Kim, Woojin, et al.
Published: (2021)

It's All About Covers: Persistent Homology of Cover Refinements
by: Leitão, António
Published: (2026)

On the stability of multigraded Betti numbers and Hilbert functions
by: Oudot, Steve, et al.
Published: (2021)

On preservation of relative resolutions for poset representations
by: Aoki, Toshitaka, et al.
Published: (2025)

Computing singular simplicial homologies of digraphs and quivers
by: Burfitt, Matthew, et al.
Published: (2025)

The space of discrete Morse functions
by: Brüggemann, Julian
Published: (2023)

Exact structures for persistence modules
by: Blanchette, Benjamin, et al.
Published: (2023)

LHS-spectral sequences for regular extensions of categories
by: Yalcin, Ergun
Published: (2023)

Lifespan Functors and Natural Dualities in Persistent Homology
by: Bauer, Ulrich, et al.
Published: (2020)

Equivariant $H\underline{\mathbb{F}}_p$-modules are wild
by: Grevstad, Jacob Fjeld, et al.
Published: (2025)

Stable Similarity Comparison of Persistent Homology Groups
by: He, Jiaxing, et al.
Published: (2024)

Stabilization of codimension of persistence barcodes
by: Allman, Justin, et al.
Published: (2023)

Cofiltrations of spanning trees in multiparameter persistent homology
by: Grimpen, Fritz, et al.
Published: (2023)

2-track algebras and the Adams spectral sequence
by: Baues, Hans-Joachim, et al.
Published: (2015)

Geometric construction of Kashiwara crystals on multiparameter persistence
by: Hiraoka, Yasuaki, et al.
Published: (2025)

Parametrization of Symmetry in Data
by: Liu, Jian, et al.
Published: (2025)

Abstract representation theory via coherent Auslander-Reiten diagrams
by: Sánchez, Álvaro
Published: (2025)

Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming
by: Hai, Le Phuoc, et al.
Published: (2024)