Variational Bayesian inference for fMRI time series

NeuroImage

Volumn 19, Issue 3, 2003, Pages 727-741

  Penny, Will ^a   Kiebel, Stefan ^a   Friston, Karl ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; BAYES THEOREM; CORRELATION ANALYSIS; DENSITY; EVENT RELATED POTENTIAL; MATHEMATICAL MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL;

EID: 0042671302     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1053-8119(03)00071-5     Document Type: Article

References (35)

1. Ashburner J., Friston K.J. Nonlinear spatial normalization using basis functions. Hum. Brain Mapp. 7:1999;254-266.
2. Ashburner J., Friston K.J. Voxel-based morphometry - the methods. NeuroImage. 11:2000;805-821.
3. Attias H. A variational Bayesian framework for graphical models. Leen T., et al. NIPS 12. 2000;MIT Press, Cambridge, MA.
4. Barnett V. Comparative Statistical Inference. 1999;Wiley, New York.
5. Bernardo J.M., Smith A.F.M. Bayesian Theory. 2000;Wiley, New York.
6. Bishop C.M. Neural Networks for Pattern Recognition. 1995;Oxford Univ. Press, Oxford.
7. Blake A., Isard M. Active Contours. 1998;Springer-Verlag, Berlin.
8. Box G.E.P., Tiao G.C. Bayesian Inference in Statistical Analysis. 1992;Wiley, New York.
9. Bullmore E., Brammer M., Williams S., Rabe-Hesketh S., Janot N., David A., Mellers J., Howard R., Sham P. Statistical methods of estimation and inference for functional MR image analysis. Magn. Reson. Med. 35:1996;261-277.
10. Carlin B.P., Louis T.A. Bayes and Empirical Bayes Methods for Data Analysis. 2000;Chapman & Hall, London.
11. Casella G., Berger R. Statistical Inference. 1990;Duxbury, N. Scituate, MA.
12. Clyde M., Parmigiani G., Vidakovic B. Multiple shrinkage and subset selection selection in wavelets. Biometrika. 85:1998;391-402.
13. Cover T.M., Thomas J.A. Elements of Information Theory. 1991;Wiley, New York.
14. Friston K.J., Ashburner J., Frith C.D., Poline J.-B., Heather J.D., Frackowiak R.S.J. Spatial registration and normalization of images. Hum. Brain Mapp. 2:1995;165-189.
15. Friston K.J., Holmes A.P., Poline J.-B., Grasby P.J., Williams S.C.R., Frackowiak R.S.J., Turner R. Analysis of fMRI time series revisited. NeuroImage. 2:1995;45-53.
16. Friston K.J., Holmes A.P., Worsley K.J., Poline J.-B., Frith C.D., Frackowiak R.S.J. Statistical parametric maps in functional imaging a general linear approach . Hum. Brain Mapp. 2:1995;189-210.
17. Friston K.J., Fletcher P., Josephs O., Holmes A., Rugg M.D., Turner R. Event-related fMRI characterizing differential responses . NeuroImage. 7:1998;30-40.
18. Friston K.J., Glaser D., Henson R., Kiebel S., Phillips C., Ashburner J. Classical and Bayesian inference in neuroimaging applications . NeuroImage. 16:2002;484-512.
19. Friston K.J., Penny W., Phillips C., Kiebel S., Hinton G., Ashburner J. Classical and Bayesian inference in neuroimaging theory . NeuroImage. 16:2002;465-483.
20. Gelman A., Carlin J.B., Stern H.S., Rubin D.B. Bayesian Data Analysis. 1995;Chapman & Hall, London.
21. Henson R.N.A., Shallice T., Gorno-Tempini M.L., Dolan R.J. Face repetition effects in implicit and explicit memory tests as measured by fMRI. Cereb. Cortex. 12:2002;178-186.
22. Jordan M.I. Learning in Graphical Models. 1999;MIT Press, Cambridge, MA. (Ed.).
23. Kiebel, S.J. Glaser, D. Friston, K.J. A heuristic for the degrees of freedom of statistics based on multiple hyperparameters. Technical report, manuscript in preparation, 2002a.
24. Kiebel, S.J. Penny, W.D. Friston, K.J. Application of the Gibbs sampler to fMRI data. Manuscript in preparation, 2002b.
25. Lappalainen H., Miskin J.W. Ensemble Learning. Girolami M. Advances in Independent Component Analysis. 2000;Springer-Verlag, Berlin.
26. Locascio J., Jennings P., Moore C., Corkin S. Time series analysis in the time domain and resampling methods for studies of functional magnetic resonance brain imaging. Hum. Brain Mapp. 5:1997;168-193.
27. Neumaier, A. Schneider, T. 2000. Estimation of parameters and eigenmodes of multivariate autoregressive models. Submitted for publication.
28. O'Ruaniaidh J.J.K., Fitzgerald W.J. Numerical Bayesian Methods Applied to Signal Processing. 1996;Springer, Berlin.
29. Purdon P.L., Weisskoff R. Effect of temporal autocorrelations due to physiological noise stimulus paradigm on voxel-level false positive rates in fMRI. Hum. Brain Mapp. 6:1998;239-249.
30. Roberts S.J., Penny W.D. Variational Bayes for generalised autore- gressive models. IEEE Trans. Signal Process. 50:2002;2245-2257.
31. Talairach J., Tournoux P. Coplanar Stereotaxic Atlas of the Human Brain. 1988;Thieme Medical, New York.
32. Woolrich Mark W., Ripley Brian D., Brady Michael, Smith Stephen M. Temporal autocorrelation in univariate linear modelling of fMRI data. NeuroImage. 14:2001;1370-1386.
33. Worsley, K.J. Liao, C.H. Aston, J. Petre, V. Duncan, G.H. Morales, F. Evans, A.C. A general statistical analysis for fMRI data. NeuroImage 15.2002.
34. Yandell B.S. Practical Data Analysis for Designed Experiments. 1997;Chapman & Hall, London.
35. Zarahn E., Aguirre G.K., D'Esposito M. Empirical analysis of BOLD fMRI statistics. 1. Spatially unsmoothed data collected under null-hypothesis conditions. NeuroImage. 5:1997;179-197.