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» Manifold-adaptive dimension estimation
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TSP
2010
13 years 3 months ago
On local intrinsic dimension estimation and its applications
In this paper, we present multiple novel applications for local intrinsic dimension estimation. There has been much work done on estimating the global dimension of a data set, typi...
Kevin M. Carter, Raviv Raich, Alfred O. Hero
ICASSP
2008
IEEE
14 years 3 months ago
Variance reduction with neighborhood smoothing for local intrinsic dimension estimation
Local intrinsic dimension estimation has been shown to be useful for many tasks such as image segmentation, anomaly detection, and de-biasing global dimension estimates. Of partic...
Kevin M. Carter, Alfred O. Hero
MOC
1998
86views more  MOC 1998»
13 years 8 months ago
Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions
This paper contains error estimates for covolume discretizations of Maxwell’s equations in three space dimensions. Several estimates are proved. First, an estimate for a semi-dis...
R. A. Nicolaides, D.-Q. Wang
ICML
2007
IEEE
14 years 9 months ago
Manifold-adaptive dimension estimation
Intuitively, learning should be easier when the data points lie on a low-dimensional submanifold of the input space. Recently there has been a growing interest in algorithms that ...
Amir Massoud Farahmand, Csaba Szepesvári, J...
ICIP
2010
IEEE
13 years 6 months ago
Dual-tree wavelets for estimation of locally varying and anisotropic fractal dimension
The dual-tree wavelet transform is here applied to the problem of fractal dimension estimation. The Hurst parameter of fractional Brownian surfaces is estimated using various wave...
James D. B. Nelson, Nick G. Kingsbury