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» Computing the First Few Betti Numbers of Semi-algebraic Sets...
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DCG
2008
69views more  DCG 2008»
13 years 4 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 5 months ago
Computing the first Betti number and the connected components of semi-algebraic sets
In this paper we describe the first singly exponential algorithm for computing the first Betti number of a given semi-algebraic set. We also describe algorithms for obtaining semi...
Saugata Basu, Richard Pollack, Marie-Franço...
FOCS
2010
IEEE
13 years 2 months ago
A Multiplicative Weights Mechanism for Privacy-Preserving Data Analysis
Abstract--We consider statistical data analysis in the interactive setting. In this setting a trusted curator maintains a database of sensitive information about individual partici...
Moritz Hardt, Guy N. Rothblum
QRE
2008
140views more  QRE 2008»
13 years 4 months ago
Discrete mixtures of kernels for Kriging-based optimization
: Kriging-based exploration strategies often rely on a single Ordinary Kriging model which parametric covariance kernel is selected a priori or on the basis of an initial data set....
David Ginsbourger, Céline Helbert, Laurent ...