Simple RSA

Actual RSA model Kullback-Leibler divergence determination for the utterance choice experiments.

Softness, non-obedience and klValueFactor are optimized.

SimpleRSAModelUttKLDiv_3params(data, par1, par2, par3)

Arguments

data

A matrix with data rows.

column structure:

[1:OC1,OC2,OC3,4:numUttOptions,7-X:TurkerSliderValues]

1:OC1 Object 1. A value between 1 and 27.

2:OC2 Object 2. A value between 1 and 27.

3:OC3 Object 3. A value between 1 and 27.

4:numUttOptions The number of valid utterances in the scene.

7-X:TurkerSliderValues These columns contain the participants' slider values.

par1
softness parameter

A parameter value between [0,infinity) (The larger the value the higher the tendency towards uniform liking).Value reflects how categorical the listener's preferences are:0: The listener always picks her preferred object.If the listener prefers red objects, she will always pick the red object in the scene.infinity: It is as likely for the listener to pick green, blue or red objects.

par2
non-obedience parameter

Determines the extent to which the instruction of the speaker is obeyed by the listener.(0 = full obedience, infinity = full instruction ignorance).Example:0: Listener always picks red objects following the utterance "red".infinity: Listener as likely to pick green, blue or red objects even if the utterance is "red".

par3
klValueFactor

A parameter that can be negative, 0 or positive:

Value

Minimized Kullback-Leibler divergence and the optimal parameters.

Details

This function is used in

SimpleRSAModelUttKLDivParamA,

SimpleRSAModelUttKLDivParamB,

SimpleRSAModelUttKLDivParamK,

SimpleRSAModelUttKLDivParamBK,

SimpleRSAModelUttKLDivParamAK,

SimpleRSAModelUttKLDivParamAK.2,

SimpleRSAModelUttKLDivParamA.2,

SimpleRSAModelUttKLDivParamB.2,

SimpleRSAModelUttKLDivParamK.2.2,

SimpleRSAModelUttKLDivParamK.2.0,

SimpleRSAModelUttKLDivParamBK.2,

SimpleRSAModelUttKLDivParamAB,

SimpleRSAModelUttKLDivParamABK.