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CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 9 months ago
Bit-size estimates for triangular sets in positive dimension
We give bit-size estimates for the coefficients appearing in triangular sets describing positive-dimensional algebraic sets defined over Q. These estimates are worst case upper bo...
Xavier Dahan, Abdulilah Kadri, Éric Schost
JMLR
2008
141views more  JMLR 2008»
14 years 9 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...
84
Voted
SDM
2003
SIAM
120views Data Mining» more  SDM 2003»
14 years 11 months ago
Estimation of Topological Dimension
We present two extensions of the algorithm by Broomhead et al [2] which is based on the idea that singular values that scale linearly with the radius of the data ball can be explo...
Douglas R. Hundley, Michael J. Kirby
IWANN
1999
Springer
15 years 1 months 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
BIBE
2008
IEEE
126views Bioinformatics» more  BIBE 2008»
14 years 10 months ago
Comparison of fractal dimension estimation algorithms for epileptic seizure onset detection
Georgia E. Polychronaki, Periklis Y. Ktonas, Styli...