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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...
MOC
2002
132views more  MOC 2002»
13 years 7 months ago
Comparison of algorithms to calculate quadratic irregularity of prime numbers
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k0, using the values of the zeta functi...
Joshua Holden
FOCM
2010
160views more  FOCM 2010»
13 years 6 months ago
Boundary Measures for Geometric Inference
We study the boundary measures of compact subsets of the d-dimensional Euclidean space, which are closely related to Federer’s curvature measures. We show that they can be comput...
Frédéric Chazal, David Cohen-Steiner...
UM
2010
Springer
14 years 16 days ago
Bayesian Credibility Modeling for Personalized Recommendation in Participatory Media
In this paper, we focus on the challenge that users face in processing messages on the web posted in participatory media settings, such as blogs. It is desirable to recommend to us...
Aaditeshwar Seth, Jie Zhang, Robin Cohen
CADE
2006
Springer
14 years 7 months ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown