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Computational Models of Cognition

Manual: General · Subject: Psychology

Understand sequential sampling models and Bayesian inference in cognitive psychology.

Sequential Sampling Models

The Drift-Diffusion Model (DDM)

The DDM is a prominent model for 2-Alternative Forced Choice (2AFC) tasks. It conceptualizes decision-making as the noisy accumulation of evidence over time until a threshold is reached. The continuous evidence accumulation is described by a stochastic differential equation: dx=v dt+s dW dx = v \, dt + s \, dW where vv is the drift rate and s dWs \, dW represents Gaussian white noise.

Primary DDM Parameters

ParameterPsychological Interpretation
Drift Rate (vv)Quality or strength of information processing; task difficulty.
Boundary Separation (aa)Response caution or speed-accuracy tradeoff.
Starting Point (zz)A priori bias toward one response alternative.
Non-decision Time (t0t_0)Time required for stimulus encoding and motor execution.

If a participant is instructed to emphasize accuracy over speed, which DDM parameter is hypothesized to increase?

In Bayesian cognitive modeling, what term refers to the initial belief distribution before any new evidence is observed?

Bayesian Cognitive Modeling

Bayesian models assume the brain operates as an optimal statistical inference engine. Human cognition is modeled using Bayes' Theorem, updating prior beliefs P(θ)P(\theta) with new evidence or likelihood P(D∣θ)P(D|\theta) to form a posterior belief P(θ∣D)P(\theta|D): P(θ∣D)=P(D∣θ)P(θ)P(D) P(\theta|D) = \frac{P(D|\theta)P(\theta)}{P(D)}

In the Bayesian formula P(θ∣D)∝P(D∣θ)P(θ)P(\theta|D) \propto P(D|\theta)P(\theta), what does P(D∣θ)P(D|\theta) represent?