Results 111 to 120 of about 707 (188)

Foundations of Vietoris homology theory with applications to non-compact spaces

, 1972
One of the two principal objectives of the present work is to provide an underlying structure for Vietoris homology theory as it is used by topologists today.
Reed, Robert Edward
core  

Linear-Size Approximations to the Vietoris–Rips

, 2014
The Vietoris–Rips filtration is a versatile tool in topological data analysis. It is a sequence of simplicial complexes built on a metric space to add topological structure to an otherwise disconnected set of points.
Donald R. Sheehy
core  

Maximum persistent Betti numbers of Čech complexes. [PDF]

J Appl Comput Topol
Edelsbrunner H, Kahle M, Kanazawa S.
europepmc   +1 more source

The enriched Vietoris monad on representable spaces

, 2012
. Employing a formal analogy between ordered sets and topological spaces, over the past years we have investigated a notion of cocompleteness for topological, approach and other kind of spaces.
Dirk Hofmann
core  

Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius

In the applied algebraic topology community, the persistent homology induced by the Vietoris-Rips simplicial filtration is a standard method for capturing topological information from metric spaces.
Memoli, Facundo, Lim, Sunhyuk, Okutan, Osman Berat   +2 more
core   +1 more source

PERSISTENT INTERACTION TOPOLOGY IN DATA ANALYSIS. [PDF]

Found Data Sci
Liu J, Chen D, Wei GW.
europepmc   +1 more source

Persistent entropy links irregularities in daily and weekly rest and activity cycles during gestation week 22 and 32 to maternal and neonate health outcomes: A prospective cohort study. [PDF]

PLoS One
Vagus S, Casey TM, George UZ.
europepmc   +1 more source

Expected Complexity of Barcode Reduction. [PDF]

J Appl Comput Topol
Giunti B, Houry G, Kerber M, Söls M.
europepmc   +1 more source

Some Properties of the Plaquette Random-Cluster Model. [PDF]

Math Phys Anal Geom
Duncan P, Schweinhart B.
europepmc   +1 more source

Topological Data Analysis for Multivariate Time Series Data. [PDF]

Entropy (Basel), 2023
El-Yaagoubi AB, Chung MK, Ombao H.
europepmc   +1 more source