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» Nonlinear Component Analysis as a Kernel Eigenvalue Problem
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84
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JMLR
2008
141views more  JMLR 2008»
14 years 11 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...
112
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SIAMAM
2008
170views more  SIAMAM 2008»
14 years 11 months ago
Absolute Stability and Complete Synchronization in a Class of Neural Fields Models
Neural fields are an interesting option for modelling macroscopic parts of the cortex involving several populations of neurons, like cortical areas. Two classes of neural field equ...
Olivier D. Faugeras, François Grimbert, Jea...
MICAI
2000
Springer
15 years 3 months ago
Eigenfaces Versus Eigeneyes: First Steps Toward Performance Assessment of Representations for Face Recognition
The Principal Components Analysis (PCA) is one of the most successfull techniques that have been used to recognize faces in images. This technique consists of extracting the eigenv...
Teófilo Emídio de Campos, Rogé...
SIAMREV
2010
114views more  SIAMREV 2010»
14 years 6 months ago
From Random Polygon to Ellipse: An Eigenanalysis
Suppose x and y are unit 2-norm n-vectors whose components sum to zero. Let P(x, y) be the polygon obtained by connecting (x1, y1), . . . , (xn, yn), (x1, y1) in order. We say that...
Adam N. Elmachtoub, Charles F. Van Loan
PKDD
2009
Springer
196views Data Mining» more  PKDD 2009»
15 years 6 months ago
Causality Discovery with Additive Disturbances: An Information-Theoretical Perspective
We consider causally sufficient acyclic causal models in which the relationship among the variables is nonlinear while disturbances have linear effects, and show that three princi...
Kun Zhang, Aapo Hyvärinen