DEM: a variational treatment of dynamic systems.

NeuroImage
Karl J FristonJean Daunizeau

Abstract

This paper presents a variational treatment of dynamic models that furnishes time-dependent conditional densities on the path or trajectory of a system's states and the time-independent densities of its parameters. These are obtained by maximising a variational action with respect to conditional densities, under a fixed-form assumption about their form. The action or path-integral of free-energy represents a lower bound on the model's log-evidence or marginal likelihood required for model selection and averaging. This approach rests on formulating the optimisation dynamically, in generalised coordinates of motion. The resulting scheme can be used for online Bayesian inversion of nonlinear dynamic causal models and is shown to outperform existing approaches, such as Kalman and particle filtering. Furthermore, it provides for dual and triple inferences on a system's states, parameters and hyperparameters using exactly the same principles. We refer to this approach as dynamic expectation maximisation (DEM).

References

Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G L Eyink
Jun 12, 1999·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·J B MandevilleR M Weisskoff
May 29, 2002·NeuroImage·K J FristonJ Ashburner
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Florian WeissbachBodo Hamprecht
Sep 2, 2003·NeuroImage·K J FristonW Penny
Mar 31, 2004·NeuroImage·Nelson J Trujillo-BarretoPedro A Valdés-Sosa
Jun 29, 2004·NeuroImage·W D PennyK J Friston
Oct 27, 2004·NeuroImage·Richard B BuxtonThomas T Liu
Jan 4, 2005·NeuroImage·William D PennyKarl J Friston
Jun 7, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Karl Friston
Aug 10, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Michael Breakspear, Cornelis J Stam
Oct 24, 2006·NeuroImage·Karl FristonWill Penny
Nov 14, 2006·Journal of Physiology, Paris·Karl FristonLee Harrison
Jan 9, 2007·Neural Computation·Roberto C SoteroJuan C Jimenez
May 3, 2008·NeuroImage·K J Friston

❮ Previous
Next ❯

Citations

Feb 12, 2010·Biological cybernetics·Karl J FristonStefan J Kiebel
May 15, 2012·Biological cybernetics·Sebastian Bitzer, Stefan J Kiebel
Oct 7, 2008·Journal of Computational Neuroscience·Roberto C SoteroRafael Rodríguez-Rojas
Dec 1, 2007·Synthese·Karl J Friston, Klaas E Stephan
Jan 1, 2011·Brain Connectivity·Karl J Friston
Jun 5, 2010·Nonlinear Biomedical Physics·Arvid Lundervold
Nov 15, 2008·PLoS Computational Biology·Stefan J KiebelKarl J Friston
Nov 8, 2008·PLoS Computational Biology·Karl Friston
Aug 15, 2009·PLoS Computational Biology·Stefan J KiebelKarl J Friston
Jun 24, 2011·PLoS Computational Biology·Maria J RosaWill D Penny
Dec 24, 2011·PLoS Computational Biology·Izzet B Yildiz, Stefan J Kiebel
Nov 19, 2013·PLoS Computational Biology·Falk LiederKarl J Friston
Jul 31, 2009·PloS One·Karl J FristonStefan J Kiebel
Aug 27, 2013·PloS One·Francisco GómezQuentin Noirhomme
Sep 22, 2012·Computational and Mathematical Methods in Medicine·Cong Liu, Zhenghui Hu
Mar 31, 2015·NeuroImage·Andrew Zalesky, Michael Breakspear
Jan 7, 2015·NeuroImage·Vahab YoussofzadehKongFatt Wong-Lin
May 27, 2015·Cortex; a Journal Devoted to the Study of the Nervous System and Behavior·Itsaso OlasagastiAnne-Lise Giraud
Sep 13, 2011·Journal of Physiology, Paris·Alberto MazzoniStefano Panzeri
Nov 13, 2010·Mathematical Biosciences·Abbas Babajani-Feremi, Hamid Soltanian-Zadeh
Dec 3, 2014·NeuroImage·Adeel RaziKarl J Friston
Dec 8, 2009·Journal of Neuroscience Methods·Anil K Seth
Jun 30, 2009·Trends in Cognitive Sciences·Karl Friston
May 3, 2008·NeuroImage·K J Friston
Apr 25, 2015·Methods of Information in Medicine·P OsórioP Figueiredo
Dec 25, 2008·Human Brain Mapping·Pedro A Valdes-SosaTohru Ozaki
Aug 9, 2015·NeuroImage·Martin HavlicekKamil Uludag
Jan 7, 2011·Wiley Interdisciplinary Reviews. Cognitive Science·Klaas Enno Stephan, Karl J Friston
Dec 23, 2014·IEEE Transactions on Medical Imaging·Karthik Ramakrishnan SreenivasanGopikrishna Deshpande
Sep 16, 2014·European Neuropsychopharmacology : the Journal of the European College of Neuropsychopharmacology·Sarina J IwabuchiLena Palaniyappan
Feb 7, 2013·NeuroImage·Fikret Işık KarahanoğluDimitri Van de Ville
Jun 5, 2013·NeuroImage·João JorgePatrícia Figueiredo
May 26, 2015·NeuroImage·Stefan FrässleAndreas Jansen
Jul 31, 2012·Journal of Neuroscience Methods·S DubeauP Pouliot
Dec 25, 2010·NeuroImage·Karl J FristonKlaas E Stephan
Mar 15, 2011·NeuroImage·Martin HavlicekVince D Calhoun
Jan 17, 2012·NeuroImage·Peter T Fox, Karl J Friston
Feb 12, 2011·NeuroImage·Baojuan LiKarl Friston
Jun 25, 2015·Frontiers in Computational Neuroscience·Paulo N RosaCarlos J Silvestre
Dec 29, 2009·NeuroImage·Karl J Friston, Raymond J Dolan
Apr 12, 2011·NeuroImage·Pedro A Valdes-SosaKarl Friston

❮ Previous
Next ❯

Related Concepts

Related Feeds

Brain Lower Grade Glioma

Low grade gliomas in the brain form from oligodendrocytes and astrocytes and are the slowest-growing glioma in adults. Discover the latest research on these brain tumors here.