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help > RE: Graph Theory correlation measures
Sep 17, 2015 06:09 PM | Alfonso Nieto-Castanon - Boston University
RE: Graph Theory correlation measures
Hi Anna,
That is an excellent suggestion, and I see how that could be very helpful to investigate the role of anticorrelations. I am attaching a patch (this patch is for release 15e, simply copy this file to the conn distribution folder overwriting the file with the same name there) that allows you do that. Simply select "one-sided (negative)" in the adjacency-matrix threshold options to use "negative-sign" thresholds (e.g. when using .15 cost threshold units it will select the strongest 15% negatively-correlated connections; when using 0.25 correlation coefficient threshold it will select those connections with r<-0.25, etc.)
Note that there are some very interesting subtleties. For example, when focusing on positive or two-sided correlations, typically brain connectivity networks show "small-world" properties (high global and local efficiency; behaving somewhere in between a lattice and a random network topology). When focusing on negative correlations, though, the global efficiency seems very high (almost as high as random networks) but local efficiency seems very low (lower than both lattices and random networks, which was somewhat unexpected, at least to me; I guess it probably relates to anticorrelated regions being mostly long-range connections?).
Hope this helps
Alfonso
Originally posted by Anna Zilverstand:
That is an excellent suggestion, and I see how that could be very helpful to investigate the role of anticorrelations. I am attaching a patch (this patch is for release 15e, simply copy this file to the conn distribution folder overwriting the file with the same name there) that allows you do that. Simply select "one-sided (negative)" in the adjacency-matrix threshold options to use "negative-sign" thresholds (e.g. when using .15 cost threshold units it will select the strongest 15% negatively-correlated connections; when using 0.25 correlation coefficient threshold it will select those connections with r<-0.25, etc.)
Note that there are some very interesting subtleties. For example, when focusing on positive or two-sided correlations, typically brain connectivity networks show "small-world" properties (high global and local efficiency; behaving somewhere in between a lattice and a random network topology). When focusing on negative correlations, though, the global efficiency seems very high (almost as high as random networks) but local efficiency seems very low (lower than both lattices and random networks, which was somewhat unexpected, at least to me; I guess it probably relates to anticorrelated regions being mostly long-range connections?).
Hope this helps
Alfonso
Originally posted by Anna Zilverstand:
Hi Alfonso,
yes, this certainly helps! I think it might be interesting for future editions to add an option to only use negative correlations, ignoring the sign seems like throwing away a lot of information.
Thanks again!!!
Anna
yes, this certainly helps! I think it might be interesting for future editions to add an option to only use negative correlations, ignoring the sign seems like throwing away a lot of information.
Thanks again!!!
Anna
Threaded View
| Title | Author | Date |
|---|---|---|
| Aiden Arnold | Aug 1, 2012 | |
| Shukti Ramkiran | May 3, 2016 | |
| Alfonso Nieto-Castanon | Aug 2, 2012 | |
| Anna Zilverstand | Sep 17, 2015 | |
| Alfonso Nieto-Castanon | Sep 17, 2015 | |
| Anna Zilverstand | Sep 17, 2015 | |
| Alfonso Nieto-Castanon | Sep 17, 2015 | |
| Anna Zilverstand | Sep 21, 2015 | |
| Alfonso Nieto-Castanon | Sep 25, 2015 | |
| Anna Zilverstand | Sep 25, 2015 | |
| Alfonso Nieto-Castanon | Sep 25, 2015 | |
| Anna Zilverstand | Sep 28, 2015 | |
| Alfonso Nieto-Castanon | Sep 28, 2015 | |
| Anna Zilverstand | Sep 28, 2015 | |
| Alfonso Nieto-Castanon | Sep 29, 2015 | |
| Anna Zilverstand | Sep 29, 2015 | |
| Anna Zilverstand | Sep 25, 2015 | |
| Anna Zilverstand | Sep 21, 2015 | |
| Anna Zilverstand | Sep 17, 2015 | |
| Ben Crittenden | Aug 27, 2015 | |
| Alfonso Nieto-Castanon | Aug 28, 2015 | |
| Ben Crittenden | Sep 18, 2015 | |
| Ben Crittenden | Sep 1, 2015 | |
| Aiden Arnold | Aug 3, 2012 | |
| Alfonso Nieto-Castanon | Aug 13, 2012 | |
