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» Explicit construction of a small epsilon-net for linear thre...
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STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 5 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 4 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
ISBI
2011
IEEE
12 years 8 months ago
Sparse topological data recovery in medical images
For medical image analysis, the test statistic of the measurements is usually constructed at every voxels in space and thresholded to determine the regions of significant signals...
Moo K. Chung, Hyekyoung Lee, Peter T. Kim, Jong Ch...
ICIP
2010
IEEE
13 years 2 months ago
Constructing a sparse convolution matrix for shift varying image restoration problems
Convolution operator is a linear operator characterized by a point spread functions (PSF). In classical image restoration problems, the blur is usually shift invariant and so the ...
Stanley H. Chan
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 4 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland