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Thanks Christian. That really helps

Xuelin

****************************************
Xuelin Cui
Department of Electrical Engineering
University of Hawaii-Manoa
Honolulu HI 96822

Tel: 1-808-349-0983
Email: [log in to unmask]
****************************************

----- Original Message -----
From: Christian Beckmann <[log in to unmask]>
Date: Saturday, March 3, 2007 7:50 am
Subject: Re: [FSL] Are ICs orthogonal to each other?
To: [log in to unmask]

> Hi,
> 
> nope, when using spatial ICA (as implemented in melodic) the time  
> courses are not restricted to be orthogonal. The spatial maps,  
> however, are not only orthogonal but are being optimised to be as  
> statistically independent as possible. This is different from a 
> PCA  
> decomposition where both the time courses and the spatial maps are 
> 
> orthogonal and temporal ICA, where the time courses but not the  
> spatial maps are orthogonal.
> The fact that time courses from spatial ICA are not restricted to 
> be  
> orthogonal presents a major advantage over PCA and temporal ICA as 
> 
> this makes it possible to extract effects like stimulus-related 
> maps  
> and separate these from temporally correlated effects like 
> stimulus- 
> correlated motion.
> hope this helps
> christian
> 
> 
> 
> On 2 Mar 2007, at 19:58, Xuelin Cui wrote:
> 
> > hi :
> >
> > I ran Melodic to fMRI data, which gave me a bunch of independent 
> 
> > components(ICs). I thought these ICs should be orthogonal to 
> each  
> > other since they are the eigenvectors of the covariance matrix. 
> But  
> > when I applied dot product to these ICs, I found the resaults 
> are  
> > not actually 0, which means these ICs are not orthogonal to each 
> 
> > other. I couldn't understand this. Are they supposeed to be  
> > orthogonal? How do we get these ICs?
> >
> > Thanks a lot
> >
> > Xuelin
> >
> > ****************************************
> > Xuelin Cui
> > Department of Electrical Engineering
> > University of Hawaii-Manoa
> > Honolulu HI 96822
> >
> > Tel: 1-808-349-0983
> > Email: [log in to unmask]
> > ****************************************
> 
> --
>  Christian F. Beckmann
>  Oxford University Centre for Functional
>  Magnetic Resonance Imaging of the Brain,
>  John Radcliffe Hospital, Headington, Oxford OX3 9DU, UK
>  Email: [log in to unmask] - 
> http://www.fmrib.ox.ac.uk/~beckmann/  Phone: +44(0)1865 222551 
> Fax: +44(0)1865 222717
>