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» On local intrinsic dimension estimation and its applications
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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
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
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
CVPR
2007
IEEE
13 years 11 months ago
Estimating Cluster Overlap on Manifolds and its Application to Neuropsychiatric Disorders
Although it is usually assumed in many pattern recognition problems that different patterns are distinguishable, some patterns may have inseparable overlap. For example, some faci...
Peng Wang, Christian Köhler, Ragini Verma