Nonlinear PCA: Characterizing interactions between modes of brain activity

Philosophical Transactions of the Royal Society B: Biological Sciences

Volumn 355, Issue 1393, 2000, Pages 135-146

  Friston, Karl ^a   Phillips, Jacquie ^a   Chawla, Dave ^a   Büchel, Christian ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Functional neuroimaging; Interactions; Nonlinear unmixing; PCA; Sources; Spatial modes

Indexed keywords

EID: 0034728175     PISSN: 09628436     EISSN: None     Source Type: Journal    
DOI: 10.1098/rstb.2000.0554     Document Type: Article

References (24)

1. Biswal, B., Yetkin, F. Z., Haughton, V. M. & Hyde, J. S. 1995 Functional connectivity in the motor cortex of resting human brain using echo-planar MRI. Magn. Res. Med. 34, 537-541.
2. Büchel, C., Josephs, O., Rees, G., Turner, R., Frith, C. D. & Friston, K. J. 1998 The functional anatomy of attention to visual motion: a fMRI study. Brain 121, 1281-1294.
3. Common, P. 1994 Independent component analysis, a new concept? Signal Processing 36, 287-314.
4. Dong, D. & McAvoy, T. J. 1996 Nonlinear principal component analysis - based on principal curves and neural networks. Comp. Chem. Engng 20, 65-78.
5. Foldiak, P. 1990 Forming sparse representations by local anti-Hebbian learning. Biol. Cybern. 64, 165-170.
6. Friston, K. J. 1995 Functional and effective connectivity in neuroimaging: a synthesis. Hum. Brain Mapp. 2, 56-78.
7. Friston, K. J., Frith, C., Liddle, P. & Frackowiak, R. S. J. 1993 Functional connectivity: the principal component analysis of large data sets. J. Cerebr. Blood-Flow Metab. 13, 5-14.
8. Friston, K. J., Holmes, A. P., Worsley, K. J., Poline, J. B., Frith, C. D. & Frackowiak, R. S. J. 1995a Statistical parametric maps in functional imaging: a general linear approach. Hum. Brain Mapp. 2, 189-210.
9. Friston, K. J., Holmes, A. P., Poline, J.-B., Grasby, P. J., Williams, S. C. R., Frackowiak, R. S. J. & Turner, R. 1995b Analysis of fMRI time-series revisited. NeuroImage 2, 45-53.
10. Friston, K. J., Poline, J.-B., Holmes, A. P., Frith, C. D. & Frackowiak, R. S. J. 1996a A multivariate analysis of PET activation studies. Hum. Brain Mapp. 4, 140-151.
11. Friston, K. J., Frith, C. D., Fletcher, P., Liddle, P. F. & Frackowiak, R. S. J. 1996b Functional topography: multidimensional scaling and functional connectivity in the brain. Cerebr. Cortex 6, 156-164.
12. Friston, K. J., Ashburner, J., Frith, C. D., Poline, J.-B., Heather, J. D. & Frackowiak, R. S. J. 1996c Spatial registration and normalisation of images. Hum. Brain Mapp. 3, 165-189.
13. Friston, K. J., Josephs, O., Rees, G. & Turner, R. 1998 Nonlinear event-related responses in fMRI. Magn. Reson. Med. 39, 41-52.
14. Karhunen, J. & Joutsensalo, J. 1994 Representation and separation of signals using nonlinear PCA type learning. Neural Networks 7, 113-127.
15. Krame, M. A. 1991 Nonlinear principal component analysis using auto-associative neural networks. AIChE J. 37, 233-243.
16. McDonald, R. P. 1984 Confirmatory models for nonlinear structural analysis. In Data analysis and informatics, III (Versailles, 1983), pp. 425-432. Amsterdam: North-Holland.
17. McIntosh, A. R., Bookstien, F. L., Haxby, J. V. & Grady, C. L. 1996 Spatial pattern analysis of functional brain images using partial least squares. NeuroImage 3, 143-157.
18. Softky, W. & Kammen, D. 1991 Correlations in high dimensional or asymmetric data sets: Hebbian neuronal processing. Neural Networks 4, 337-347.
19. Talairach, J. & Tournoux, P. 1988 A coplanar stereotaxic atlas of a human brain. Stuttgart, Germany: Thieme.
20. Taleb, A. & Jutten, C. 1997 Nonlinear source separation: the post-nonlinear mixtures. In ESANN '97 Bruges, April 1997, pp. 279-284.
21. Treue, S. & Maunsell, H. R. 1996 Attentional modulation of visual motion processing in cortical areas MT and MST. Nature 382, 539-541.
22. Wold, S. 1992 Nonlinear partial least squares modelling. Chemometrics Int. Lab. Syst. 14, 71-84.
23. Worsley, K. J. & Friston, K. J. 1995 Analysis of fMRI time-series revisited - again. NeuroImage 2, 173-181.
24. Zeki, S. 1990 The motion pathways of the visual cortex. In Vision: coding and efficiency (ed. C. Blakemore), pp. 321-345. Cambridge University Press.