ACTRModels.jl

A Julia Package for the ACT-R Cognitive Architecture
Author itsdfish
Popularity
1 Star
Updated Last
1 Month Ago
Started In
April 2020

ACTRModels

The goal of ACTRModels.jl is to provide basic functionality developing likelihood functions for the ACT-R cognitive architecture and generating simulated data. Currently, the library focuses primarily on declarative memory, but functionality can be be extended to other modules.

Example

The following example demonstrates how to construct an ACTR object containing declarative memory, retrieve a memory, and compute retrieval time.

Simulate Data

The following code block provides a simple illustration of retrieving a memory and computing retrieval time.

using ACTRModels, Random, Plots

Random.seed!(87545)
# create chunks of declarative knowledge
chunks = [Chunk(;name=:Bob, department=:accounting),
    Chunk(;name=:Alice, department=:HR)]

# initialize declarative memory
declarative = Declarative(memory=chunks)

# specify model parameters: partial matching, noise, mismatch penalty, activation noise
Θ = (mmp=true, noise=true, δ=1.0, s=.2)  

# create an ACT-R object with activation noise and partial matching
actr = ACTR(;declarative, Θ...)

# retrieve a chunk associated with accounting
chunk = retrieve(actr; department=:accounting)
# generate a reaction time 
rt = compute_RT(actr, chunk)

Log Likelihood

Now that we have generated simulated data it is possible to compute the logpdf using a lognormal race process.

# index of retrieved chunk 
chunk_idx = find_index(chunk)
# compute activation for each chunk
compute_activation!(actr; department=:accounting)
# get mean activation
μ = get_mean_activations(actr)
# standard deviation 
σ = Θ.s * pi / sqrt(3)
# lognormal race distribution object
dist = LNR(;μ=-μ, σ, ϕ=0.0)
# log pdf of retrieval time
logpdf(dist, chunk_idx, rt)

PDF Overlay

In the following code block, the PDF is superimposed on the histogram of simulated retrieval times. Visual inspection indicates that the PDF accurately characterizes the simulated data.

# index for accounting
idx = find_index(actr; department=:accounting)
# generate retrieval times
rts = rand(dist, 10^5)
# extract rts for accounting
acc_rts = filter(x->x[1] == idx, rts) .|> x-> x[2]
# probability of retrieving accounting
p_acc = length(acc_rts)/length(rts)
# histogram of retrieval times
hist = histogram(acc_rts, color=:grey, leg=false, grid=false, size=(500,300),
    bins = 100, norm=true, xlabel="Retrieval Time", ylabel="Density")
# weight histogram according to retrieval probability
hist[1][1][:y] *= p_acc
# collection of retrieval time values
x = 0:.01:3
# density for each x value
dens = pdf.(dist, idx, x)
# overlay PDF on histogram
plot!(hist, x, dens, color=:darkorange, linewidth=1.5, xlims=(0,3))

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