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121
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MOC
2011
14 years 10 months ago
Exponential convergence and tractability of multivariate integration for Korobov spaces
In this paper we study multivariate integration for a weighted Korobov space for which the Fourier coefficients of the functions decay exponentially fast. This implies that the fu...
Josef Dick, Gerhard Larcher, Friedrich Pillichsham...
JMLR
2010
99views more  JMLR 2010»
14 years 10 months ago
Characterization, Stability and Convergence of Hierarchical Clustering Methods
We study hierarchical clustering schemes under an axiomatic view. We show that within this framework, one can prove a theorem analogous to one of J. Kleinberg (Kleinberg, 2002), i...
Gunnar Carlsson, Facundo Mémoli
128
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JMLR
2010
105views more  JMLR 2010»
14 years 10 months ago
On the Convergence Properties of Contrastive Divergence
Contrastive Divergence (CD) is a popular method for estimating the parameters of Markov Random Fields (MRFs) by rapidly approximating an intractable term in the gradient of the lo...
Ilya Sutskever, Tijmen Tieleman
92
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SIAMNUM
2010
133views more  SIAMNUM 2010»
14 years 10 months ago
Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of the scatter...
Zhiming Chen, Weiying Zheng
SIAMNUM
2010
96views more  SIAMNUM 2010»
14 years 10 months ago
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
Wolfgang Boiger, Carsten Carstensen