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» Stability of persistence diagrams
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CORR
2011
Springer
162views Education» more  CORR 2011»
13 years 1 months ago
Homology and Robustness of Level and Interlevel Sets
Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo...
OOPSLA
1999
Springer
14 years 2 months ago
Mostly-copying Reachability-based Orthogonal Persistence
We describe how reachability-based orthogonal persistence can be supported even in uncooperative implementations of languages such as C++ and Modula-3, and without modification t...
Antony L. Hosking, Jiawan Chen
DCG
2007
77views more  DCG 2007»
13 years 9 months ago
Stability of Critical Points with Interval Persistence
Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...
Tamal K. Dey, Rephael Wenger
IPMI
2009
Springer
14 years 10 months ago
Persistence Diagrams of Cortical Surface Data
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Moo K. Chung, Peter Bubenik, Peter T. Kim
POS
1994
Springer
14 years 1 months ago
Hardware Support for Stability in a Persistent Architecture
Persistent stores support uniform management of data objects regardless of their lifetimes and locations. Such stores typically maintain a self-consistent state even after failure...
Frans A. Henskens, D. M. Koch, Rasool Jalili, John...