caijie - OrthogonalLeastSquaresTraining Orthogonal

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Jie Cai 02/12/2012 Orthogonal Least Squares Training Algorithm for Radial Basis Function Networks Orthogonal Least Squares Training Algorithm for Radial Basis Function Networks
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Radial Basis Function Networks(RBFN) 2/16/2012 Team 2 2 () 2 1 0 1 j j n ii j i i M jj j p xm σ yp θθ = = ⎡⎤ ⎛⎞ ⎢⎥ =− ⎜⎟ ⎝⎠ ⎣⎦ =+ x| λ exp λ 2 θ 1 θ n θ Gaussian RBF: ( ) j p λ RBF: i xc φ e.g., thin-plate-spline function: ( ) 2 φν ν ν = log
Background image of page 2
Radial Basis Function Networks(RBFN) 2/16/2012 Team 2 3 () 1 dt t t M j j p θ ε = =+ Linear regression techniques can be used to obtain the parameter . j θ For the case where the RBF is fixed for all neurons, then
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Orthogonal Least Squares 2/16/2012 Team 2 4 [] () ( ) T 1M T Θ 1 p1 p = θθ ,1 1N T T i dd N N i Θ = =+ ⎡⎤ = ⎣⎦ = ≤≤ =∈ ii Pp p dP E d p M E A compact matrix representation can be formulated in the following way: : output d i p : regressor vector Θ : weights, LS parameters
Background image of page 4
Gram-Schmidt method 2/16/2012 Team 2 5 12 13 1 23 2 1 1 01 00
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/22/2012 for the course ME 697 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

Page1 / 10

caijie - OrthogonalLeastSquaresTraining Orthogonal

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online