Interactive lab resources
Key Concepts used in the CPNS Lab
Animated and interactive explainers for the mathematical, computational and modelling ideas behind our work: oscillations, Bayesian inference, predictive coding, free energy, active inference and group-level model fitting.
Start here
These pages are designed as short visual introductions. Each page focuses on one concept, gives the minimum formal machinery, and then links the idea to computational psychiatry, EEG/MEG, Dynamic Causal Modelling or embodied intelligence.
Concept pathway
From waves to inference to action
A suggested route through the resources. You can also jump straight to any page below.
From the Unit Circle to the Fourier Transform
See how circular motion creates sine and cosine waves, then use rotating templates to understand Fourier spectra.
oscillations · spectra · EEG/MEG 02Bayesian Updating and Precision
Combine prior beliefs with new evidence, and see how uncertainty controls the posterior update.
priors · likelihoods · precision 03Predictive Coding
Understand prediction error, precision weighting and belief updating as a simple dynamic loop.
prediction error · hierarchy 04The Free Energy Principle
Explore free energy as a balance between prediction error and model complexity.
accuracy · complexity · evidence 05Active Inference and Expected Free Energy
Watch an agent select policies by balancing goal-seeking, information gain and action cost.
policies · exploration · action 06Active Inference Pong
A concrete embodied example: predict the ball crossing point, score paddle actions and act to minimise expected free energy.
embodied intelligence · Pong 07Parametric Empirical Bayes
Link subject-level DCM parameters to group effects, uncertainty, empirical priors and shrinkage.
DCM · PEB · group effectsNeural Mass Models and DCM
A future page connecting synaptic parameters, simulated rhythms, spectra and model fitting.
coming soonHow to use these pages
For students, collaborators and talks
Teaching
Use each page as a short pre-reading or live demonstration before introducing the formal equations.
Collaboration
Send a specific page to collaborators when a concept such as precision, shrinkage or expected free energy needs a shared intuition.
Presentations
The interactive figures can be used as visual anchors for talks on computational psychiatry and embodied intelligence.