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» Estimation of Topological Dimension
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JMLR
2008
141views more  JMLR 2008»
13 years 8 months ago
A New Algorithm for Estimating the Effective Dimension-Reduction Subspace
The statistical problem of estimating the effective dimension-reduction (EDR) subspace in the multi-index regression model with deterministic design and additive noise is consider...
Arnak S. Dalalyan, Anatoly Juditsky, Vladimir Spok...
SAC
2005
ACM
14 years 2 months ago
Estimating manifold dimension by inversion error
Video and image datasets can often be described by a small number of parameters, even though each image usually consists of hundreds or thousands of pixels. This observation is of...
Shawn Martin, Alex Bäcker
SIAMCO
2010
114views more  SIAMCO 2010»
13 years 3 months ago
Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
In arbitrary dimension, we consider the semi-discrete elliptic operator -2 t + AM , where AM is a finite difference approximation of the operator - x((x) x). For this operator we d...
Franck Boyer, Florence Hubert, Jérôme...
IWANN
1999
Springer
14 years 21 days ago
Forecasting Financial Time Series through Intrinsic Dimension Estimation and Non-Linear Data Projection
A crucial problem in non-linear time series forecasting is to determine its auto-regressive order, in particular when the prediction method is non-linear. We show in this paper tha...
Michel Verleysen, Eric de Bodt, Amaury Lendasse
ICC
2009
IEEE
123views Communications» more  ICC 2009»
14 years 3 months ago
Blind Spectrum Sensing for Cognitive Radio Based on Signal Space Dimension Estimation
Abstract—Based on information theoretic tools, a new spectrum sensing method is proposed in this paper to detect vacant sub-bands in the radio spectrum1 . Specifically, based on...
Bassem Zayen, Aawatif Hayar, Kimmo Kansanen