Generalization in multi-layer networks of Sigma-pi units. - William D. Penny; T. John Stonham (IEEE Trans. Neural Networks, 1995)

Bayesian Approaches to Gaussian Mixture Modeling. - Stephen J. Roberts; Dirk Husmeier; Iead Rezek; William D. Penny (IEEE Trans. Pattern Anal. Mach. Intell., 1998)

Dynamic logistic regression. - William D. Penny; Stephen J. Roberts (IJCNN, 1999)

EEG-based communication via dynamic neural network models. - William D. Penny; Stephen J. Roberts (IJCNN, 1999)

Dynamic Models for Nonstationary Signal Segmentation. - William D. Penny; Stephen J. Roberts (Comput. Biomed. Res., 1999)

An empirical evaluation of Bayesian sampling with hybrid Monte Carlo for training neural network classifiers. - Dirk Husmeier; William D. Penny; Stephen J. Roberts (Neural Networks, 1999)

Bayesian neural networks for classification: how useful is the evidence framework? - William D. Penny; Stephen J. Roberts (Neural Networks, 1999)

The Bayesian Paradigm: Second Generation Neural Computing. - William D. Penny; Dirk Husmeier; Stephen J. Roberts (Artificial Neural Networks in Biomedicine, 2000)

Mixtures of Independent Component Analysers. - Stephen J. Roberts; William D. Penny (ICANN, 2001)

Classical and Bayesian Inference in Neuroimaging: Theory. - Karl J. Friston; William D. Penny; Christophe Phillips; Stefan J. Kiebel; Geoffrey E. Hinton; John Ashburner (NeuroImage, 2002)

Effective Connectivity and Intersubject Variability: Using a Multisubject Network to Test Differences and Commonalities. - Andrea Mechelli; Will D. Penny; Cathy J. Price; Darren R. Gitelman; Karl J. Friston (NeuroImage, 2002)

Bayesian nonstationary autoregressive models for biomedical signal analysis. - Michael J. Cassidy; William D. Penny (IEEE Trans. Biomed. Eng., 2002)

Variational Bayes for generalized autoregressive models. - Stephen J. Roberts; Will D. Penny (IEEE Trans. Signal Process., 2002)

Dynamic causal modelling. - Karl J. Friston; Lee M. Harrison; William D. Penny (NeuroImage, 2003)

Posterior probability maps and SPMs. - Karl J. Friston; William D. Penny (NeuroImage, 2003)

Modeling regional and psychophysiologic interactions in fMRI: the importance of hemodynamic deconvolution. - Darren R. Gitelman; William D. Penny; John Ashburner; Karl J. Friston (NeuroImage, 2003)

Multivariate autoregressive modeling of fMRI time series. - Lee M. Harrison; William D. Penny; Karl J. Friston (NeuroImage, 2003)

Variational Bayesian inference for fMRI time series. - William D. Penny; Stefan J. Kiebel; Karl J. Friston (NeuroImage, 2003)

Mixtures of General Linear Models for Functional Neuroimaging. - William D. Penny; Karl J. Friston (IEEE Trans. Medical Imaging, 2003)

Comparing dynamic causal models. - William D. Penny; Klaas E. Stephan; Andrea Mechelli; Karl J. Friston (NeuroImage, 2004)

Conjunction revisited. - Karl J. Friston; William D. Penny; Daniel E. Glaser (NeuroImage, 2005)

Bayesian fMRI time series analysis with spatial priors. - William D. Penny; Nelson J. Trujillo-Barreto; Karl J. Friston (NeuroImage, 2005)

Information theory, novelty and hippocampal responses: unpredicted or unpredictable? - Bryan A. Strange; Andrew Duggins; William D. Penny; Raymond J. Dolan; Karl J. Friston (Neural Networks, 2005)

MEG source localization under multiple constraints: An extended Bayesian framework. - Jérémie Mattout; Christophe Phillips; William D. Penny; Michael D. Rugg; Karl J. Friston (NeuroImage, 2006)

Identification of degenerate neuronal systems based on intersubject variability. - Uta Noppeney; Will D. Penny; Cathy J. Price; Guillaume Flandin; Karl J. Friston (NeuroImage, 2006)

Bayesian fMRI data analysis with sparse spatial basis function priors. - Guillaume Flandin; William D. Penny (NeuroImage, 2007)

Variational free energy and the Laplace approximation. - Karl J. Friston; Jérémie Mattout; Nelson J. Trujillo-Barreto; John Ashburner; William D. Penny (NeuroImage, 2007)

Diffusion-based spatial priors for imaging. - Lee M. Harrison; William D. Penny; John Ashburner; Nelson J. Trujillo-Barreto; Karl J. Friston (NeuroImage, 2007)

Robust Bayesian general linear models. - Will D. Penny; James Kilner; Felix Blankenburg (NeuroImage, 2007)

Functional imaging. - William D. Penny; Karl J. Friston (Scholarpedia, 2007)

Bayesian decoding of brain images. - Karl J. Friston; Carlton Chu; Janaina Mourão Miranda; Oliver J. Hulme; Geraint Rees 001; Will D. Penny; John Ashburner (NeuroImage, 2008)

Diffusion-based spatial priors for functional magnetic resonance images. - Lee M. Harrison; William D. Penny; Jean Daunizeau; Karl J. Friston (NeuroImage, 2008)

Graph-partitioned spatial priors for functional magnetic resonance images. - Lee M. Harrison; William D. Penny; Guillaume Flandin; Christian C. Ruff; Nikolaus Weiskopf; Karl J. Friston (NeuroImage, 2008)

Bayesian M/EEG source reconstruction with spatio-temporal priors. - Nelson J. Trujillo-Barreto; Eduardo Aubert-Vázquez; William D. Penny (NeuroImage, 2008)

Integrated Bayesian models of learning and decision making for saccadic eye movements. - Kay Henning Brodersen; William D. Penny; Lee M. Harrison; Jean Daunizeau; Christian C. Ruff; Emrah Düzel; Karl J. Friston; Klaas E. Stephan (Neural Networks, 2008)

Corrigendum to "Bayesian model selection for group studies" [NeuroImage 46 (2009) 1005-1017]. - Klaas Enno Stephan; Will D. Penny; Jean Daunizeau; Rosalyn J. Moran; Karl J. Friston (NeuroImage, 2009)

Bayesian model selection for group studies. - Klaas Enno Stephan; Will D. Penny; Jean Daunizeau; Rosalyn J. Moran; Karl J. Friston (NeuroImage, 2009)

Optimized beamforming for simultaneous MEG and intracranial local field potential recordings in deep brain stimulation patients. - Vladimir Litvak; Alexandre Eusebio; Ashwani Jha; Robert Oostenveld; Gareth R. Barnes; William D. Penny; Ludvic U. Zrinzo; Marwan I. Hariz; Patricia Limousin; Karl J. Friston; Peter Brown 001 (NeuroImage, 2010)

Bayesian model selection maps for group studies. - Maria João Duarte Rosa; Sven Bestmann; Lee M. Harrison; Will D. Penny (NeuroImage, 2010)

Estimating the transfer function from neuronal activity to BOLD using simultaneous EEG-fMRI. - Maria João Duarte Rosa; James Kilner; Felix Blankenburg; Oliver Josephs; Will D. Penny (NeuroImage, 2010)

Ten simple rules for dynamic causal modeling. - Klaas Enno Stephan; Will D. Penny; Rosalyn J. Moran; Hanneke E. M. den Ouden; Jean Daunizeau; Karl J. Friston (NeuroImage, 2010)

Comparing Families of Dynamic Causal Models. - Will D. Penny; Klaas E. Stephan; Jean Daunizeau; Maria João Duarte Rosa; Karl J. Friston; Thomas M. Schofield; Alexander P. Leff (PLoS Comput. Biol., 2010)

EEG and MEG Data Analysis in SPM8. - Vladimir Litvak; Jérémie Mattout; Stefan J. Kiebel; Christophe Phillips; Richard N. A. Henson; James Kilner; Gareth R. Barnes; Robert Oostenveld; Jean Daunizeau; Guillaume Flandin; William D. Penny; Karl J. Friston (Comput. Intell. Neurosci., 2011)

Post hoc Bayesian model selection. - Karl J. Friston; Will D. Penny (NeuroImage, 2011)

Generalised filtering and stochastic DCM for fMRI. - Baojuan Li; Jean Daunizeau; Klaas E. Stephan; William D. Penny; Dewen Hu; Karl J. Friston (NeuroImage, 2011)

Bayesian Comparison of Neurovascular Coupling Models Using EEG-fMRI. - Maria João Duarte Rosa; James Kilner; Will D. Penny (PLoS Comput. Biol., 2011)

Age-related changes in causal interactions between cortical motor regions during hand grip. - Marie-Hélène Boudrias; Carla Sá Gonçalves; Will D. Penny; Chang-Hyun Park; Holly E. Rossiter; Penelope Talelli; Nick S. Ward (NeuroImage, 2012)

A general Bayesian treatment for MEG source reconstruction incorporating lead field uncertainty. - José David López; William D. Penny; Jairo J. Espinosa; Gareth R. Barnes (NeuroImage, 2012)

Comparing Dynamic Causal Models using AIC, BIC and Free Energy. - William D. Penny (NeuroImage, 2012)

The problem of low variance voxels in statistical parametric mapping; a new hat avoids a 'haircut'. - Gerard R. Ridgway; Vladimir Litvak; Guillaume Flandin; Karl J. Friston; William D. Penny (NeuroImage, 2012)

A dynamical pattern recognition model of gamma activity in auditory cortex. - Melissa Zavaglia; Ryan T. Canolty; Thomas M. Schofield; Alexander P. Leff; Mauro Ursino; Robert T. Knight; Will D. Penny (Neural Networks, 2012)

Cortical surface reconstruction based on MEG data and spherical harmonics. - José David López; Luzia Troebinger; Will D. Penny; Jairo J. Espinosa; Gareth R. Barnes (EMBC, 2013)

Corrigendum to "A general Bayesian treatment for MEG source reconstruction incorporating lead field uncertainty" [Neuroimge 60/2 (2012) 1194-1204]. - José David López; William D. Penny; Jairo J. Espinosa; Gareth R. Barnes (NeuroImage, 2013)

Forward and Backward Inference in Spatial Cognition. - Will D. Penny; Peter Zeidman; Neil Burgess (PLoS Comput. Biol., 2013)

Simultaneous Localisation and Planning. - Will D. Penny (CIP, 2014)

A Dynamic Bayesian Model of Homeostatic Control. - Will D. Penny; Klaas E. Stephan (ICAIS, 2014)

Estimating Neural Response Functions from fMRI. - Sukhbinder Kumar; William D. Penny (Frontiers Neuroinformatics, 2014)

Transcranial electrical brain stimulation modulates neuronal tuning curves in perception of numerosity and duration. - Amir Homayoun Javadi; Iva K. Brunec; Vincent Walsh; Will D. Penny; Hugo J. Spiers (NeuroImage, 2014)

Efficient gradient computation for dynamical models. - Biswa Sengupta; Karl J. Friston; William D. Penny (NeuroImage, 2014)

Does function fit structure? A ground truth for non-invasive neuroimaging. - Claire M. Stevenson; Matthew J. Brookes; José David López; Luzia Troebinger; Jérémie Mattout; William D. Penny; Peter G. Morris; Arjan Hillebrand; Richard N. A. Henson; Gareth R. Barnes (NeuroImage, 2014)

Imaging Analysis, Bayesian. - William D. Penny (Encyclopedia of Computational Neuroscience, 2014)

Gradient-free MCMC methods for dynamic causal modelling. - Biswa Sengupta; Karl J. Friston; William D. Penny (NeuroImage, 2015)

Dynamic causal modelling for functional near-infrared spectroscopy. - Sungho Tak; A. M. Kempny; Karl J. Friston; Alexander P. Leff; William D. Penny (NeuroImage, 2015)

Estimating anatomical trajectories with Bayesian mixed-effects modeling. - Gabriel Ziegler; William D. Penny; Gerard R. Ridgway; Sébastien Ourselin; Karl J. Friston (NeuroImage, 2015)

Behavioral Modeling of Human Choices Reveals Dissociable Effects of Physical Effort and Temporal Delay on Reward Devaluation. - Miriam C. Klein-Flügge; Steven W. Kennerley; Ana C. Saraiva; Will D. Penny; Sven Bestmann (PLoS Comput. Biol., 2015)

The Role of Dopamine in Temporal Uncertainty. - Alessandro Tomassini; Diane Ruge; Joseph M. Galea; William D. Penny; Sven Bestmann (J. Cogn. Neurosci., 2016)

Modulation of frontal effective connectivity during speech. - Rachel Holland; Alex P. Leff; William D. Penny; John C. Rothwell; Jenny Crinion (NeuroImage, 2016)

Causal evidence that intrinsic beta-frequency is relevant for enhanced signal propagation in the motor system as shown through rhythmic TMS. - Vincenzo Romei; Markus Bauer 003; Joseph L. Brooks; Marcos Economides; Will D. Penny; Gregor Thut; Jon Driver; Sven Bestmann (NeuroImage, 2016)

Gradient-based MCMC samplers for dynamic causal modelling. - Biswa Sengupta; Karl J. Friston; Will D. Penny (NeuroImage, 2016)

Annealed Importance Sampling for Neural Mass Models. - Will D. Penny; Biswa Sengupta (PLoS Comput. Biol., 2016)

Reconstructing anatomy from electro-physiological data. - José David López; Felipe Valencia; Guillaume Flandin; William D. Penny; Gareth R. Barnes (NeuroImage, 2017)

Multivariate dynamical modelling of structural change during development. - Gabriel Ziegler; Gerard R. Ridgway; Sarah-Jayne Blakemore; John Ashburner; William D. Penny (NeuroImage, 2017)

Dynamic causal modelling on infant fNIRS data: A validation study on a simultaneously recorded fNIRS-fMRI dataset. - Chiara Bulgarelli; Anna Blasi; Simon R. Arridge; Samuel Powell; Carina C. J. M. de Klerk; Victoria Southgate; Sabrina Brigadoi; William D. Penny; Sungho Tak; Antonia F. de C. Hamilton (NeuroImage, 2018)

Bayesian population receptive field modelling. - Peter Zeidman; Edward Harry Silson; Dietrich Samuel Schwarzkopf; Chris Ian Baker; William D. Penny (NeuroImage, 2018)

Prefrontal Dynamics Associated with Efficient Detours and Shortcuts: A Combined Functional Magnetic Resonance Imaging and Magnetoencenphalography Study. - Amir Homayoun Javadi; Eva Zita Patai; Eugenia Marin-Garcia; Aaron Margolis; Heng-Ru May Tan; Dharshan Kumaran; Marko Nardini; Will D. Penny; Emrah Düzel; Peter S. Dayan; Hugo J. Spiers (J. Cogn. Neurosci., 2019)

Retrospective Inference as a Form of Bounded Rationality, and Its Beneficial Influence on Learning. - Thomas H. B. FitzGerald; Will D. Penny; Heidi M. Bonnici; Rick A. Adams (Frontiers Artif. Intell., 2020)

Multitask learning over shared subspaces. - Nicholas Menghi; Kemal Kacar; Will D. Penny (PLoS Comput. Biol., 2021)