2 Neuroscience2.3 Basic techniques in neuroscience

2.3.5 Computational modelling and data analytic descriptions

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Written by Resident Doctor Committee · Published

Models and data analysis

A computational model states a hypothesis as mathematics or an algorithm. Data analysis finds patterns or predicts outcomes without explaining their cause.

Model type

Question answered

Descriptive

What pattern is present?

Mechanistic

What process could generate it?

Normative

What is optimal under stated goals and constraints?

A good fit does not prove a model uniquely correct.

Bayesian predictive processing

Predictive processing treats perception as Bayesian inference: the brain combines expectations with sensory evidence.

Term

Meaning

Prior

The expectation held before sensory evidence arrives

Likelihood

The evidence: how probable the input is under a possible state

Posterior

The percept produced by combining prior and likelihood

Prediction error

The mismatch signal between expectation and evidence

Precision

The weighting each signal receives

The broad prior and the narrower, more precise likelihood combine into a posterior (the percept) that lies between them, nearer the likelihood and narrower than either, and the gap between prior and evidence is the prediction error. Drawn for MRCPsychiatrist

Behaviour that fits a Bayesian model does not show the brain calculating explicitly.

Other learning and decision models

  • Reinforcement learning updates value by prediction error: new value = old value + learning rate multiplied by prediction error.

  • Evidence accumulation models a decision as noisy evidence building to a boundary, set by drift rate, boundary separation, starting point and non-decision time.

Fitting and interpreting

  • Overfitting happens when spare flexibility lets a model fit noise as well as signal, and held-out data and complexity penalties check for it.

  • Cross-validation must match the intended use, so splitting trials from the same participants does not test performance in new patients.

  • Parameter recovery tests identifiability by simulating known values and fitting them back.

  • A fitted learning rate is not a direct measure of dopamine or impulsivity without separate validation.