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PAMI
2002
74views more  PAMI 2002»
13 years 4 months ago
Estimating the Intrinsic Dimension of Data with a Fractal-Based Method
Francesco Camastra, Alessandro Vinciarelli
TSP
2010
12 years 11 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
IWANN
1999
Springer
13 years 9 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
ICASSP
2008
IEEE
13 years 11 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
NIPS
2004
13 years 6 months ago
Maximum Likelihood Estimation of Intrinsic Dimension
We propose a new method for estimating intrinsic dimension of a dataset derived by applying the principle of maximum likelihood to the distances between close neighbors. We derive...
Elizaveta Levina, Peter J. Bickel