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COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
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...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
NIPS
2007
13 years 8 months ago
Cluster Stability for Finite Samples
Over the past few years, the notion of stability in data clustering has received growing attention as a cluster validation criterion in a sample-based framework. However, recent w...
Ohad Shamir, Naftali Tishby
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 1 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
AUTOMATICA
2008
95views more  AUTOMATICA 2008»
13 years 7 months ago
Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications
It is due to the modularity they provide that results for cascaded systems have proved their utility in numerous control applications as well as in the development of general cont...
Antoine Chaillet, Antonio Loría
CDC
2008
IEEE
228views Control Systems» more  CDC 2008»
14 years 1 months ago
Stability analysis for neural networks with time-varying delay
— This paper studies the problem of stability analysis for neural networks (NNs) with a time-varying delay. The activation functions are assumed to be neither monotonic, nor diff...
Xun-Lin Zhu, Guang-Hong Yang