Gaze analytics pipeline: transition entropy

• Want to compare transition matrices between conditions

angry disgusted fearful happy neutral sad surprised

Gaze analytics pipeline: transition entropy

• Normalized transition entropy

p p p p

Gaze analytics pipeline: transition entropy

• Normalized transition entropy

• Higher entropy means “surprise!”

0.25 0.25 0.25 0.25

0.00 1.00 0.00 0.00

0.00 0.00 1.00 0.00

0.00 0.00 0.00 1.00

1.00 0.00 0.00 0.00

𝐻_! = 1

à Low predictability

𝐻_! = 0

à High predictability

Gaze analytics pipeline: transition entropy

• Normalized transition entropy

• Higher entropy means “surprise!”

angry disgusted fearful happy neutral sad surprised

Emotion categorization task

Emotion Category Transition Entropy 0.00.20.40.60.81.0

Gaze analytics pipeline: transition entropy

• Normalized transition entropy

• Higher entropy means “surprise!”

• Stationary entropy: long run

angry disgusted fearful happy neutral sad surprised

Emotion categorization task

Emotion Category Transition Entropy 0.00.20.40.60.81.0

Stationary entropy: transition vs. stationary entropy?

• Ultimately, not super certain of stationary entropy’s utility

• Because:

transition entropy is always smaller

• Long-term distribution of transitions is expected to be more uniform

H

= 1

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H

= X

i2S

⇡

log ⇡

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H

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 H

Dans le document Workshop: Eye Tracking Data Analytic Pipeline (Page 105-111)