Research in Computational Topology

Erin Wolf Chambers, Brittany Terese Fasy, Lori Ziegelmeier (Herausgeber)

Buch | Softcover

XIV, 202 Seiten

2019 | 1. Softcover reprint of the original 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-07810-2 (ISBN)

Artikel merken

Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational topology. Featured articles range over the breadth of the discipline, including topics such as surface reconstruction, topological data analysis, persistent homology, algorithms, and surface-embedded graphs. Applications in graphics, medical imaging, and GIS are discussed throughout the book. Four of the papers in this volume are the product of working groups that were established and developed during the workshop. Additional papers were also solicited from the broader Women in Computational Topology network. The volume is accessible to a broad range of researchers, both within the field of computational topology and in related disciplines such as statistics, computational biology, and machine learning.

Erin Chambers is an Associate Professor at Saint Louis University.Brittany Terese Fasy is an Assistant Professor and Gianforte Faculty Fellow at Montana State University.Lori Ziegelmeier is an Assistant Professor at Macalester College.

Preface.- The Rank Invariant Stability via Interleavings (Claudia Landi).- Persistent Homology Over Directed Acyclic Graphs (Erin Wolf Chambers and David Letscher).- A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs (Ellen Gasparovic, Maria Gommel, et al).- Comparing Directed and Weighted Road Maps (Alyson Bittner, Brittany Terese Fasy, et al).- Sweeping Costs of Planar Domains (Brooks Adams, Henry Adams, and Colin Roberts).- Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology (Paul Bendich, Ellen Gasparovic, et al).- Density of local maxima of the distance function to a set of points in the plane (Nina Amenta, Erin Chambers, et al).- Mind the Gap: A Study in Global Development through Persistent Homology (Andrew Banman and Lori Ziegelmeier).- Cluster Identification via Persistent Homology and other Clustering Techniques, with Application to Liver Transplant Data (Berhanu A. Wubie, Axel Andres, et al).- Pseudo-multidimensional persistence and its applications (Catalina Betancourt, Mathieu Chalifour, et al).

Erscheint lt. Verlag	26.1.2019
Reihe/Serie	Association for Women in Mathematics Series
Zusatzinfo	XIV, 202 p. 98 illus., 77 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	456 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Computational topology • Data Analysis • metric graphs • network analysis • Persistence Profiles • Persistent Homology • planar domains • Pseudo-multidimensional persistence • Rank invariant stability • scaffoldings and spines • WinCompTop • Workshop
ISBN-10	3-030-07810-8 / 3030078108
ISBN-13	978-3-030-07810-2 / 9783030078102
Zustand	Neuware