165 search results - page 5 / 33 » The theory of multidimensional persistence |
COMPGEOM
2005
ACM
13 years 9 months ago
2005
ACM
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
COMPGEOM
2011
ACM
12 years 11 months ago
2011
ACM
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
GLOBECOM
2010
IEEE
13 years 5 months ago
2010
IEEE
This paper considers a large-scale wireless sensor network where sensor readings are occasionally collected by a mobile sink, and sensor nodes are responsible for temporarily stori...
COMPGEOM
2006
ACM
14 years 1 months ago
2006
ACM
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
CMA
2011
13 years 2 months ago
2011
We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups ma...