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sparsity_and_perception.md

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Sparsity and perception

What's the relation among the following concepts:

  • prosody
  • sparsity vs. density
  • consonance vs. dissonance
  • boredom vs. interestingness
  • comprehensibility
  • separability
  • entropy, information value
  • complexity

Prosody studies the various tools that help creating interesting works in arts (music, visual, drama, etc.).

Questions

  • What kind of signals make a human observer interested vs. bored?
  • How this correlates with some objective features of that signals?
  • How does it relate to some artifical observer, such as a deep neural network doing an unsupervised learning?

Hypotheses

  • interesting signals are somewhere in between being sparse and dense
    • too sparse -> too simple to comprehend/predict -> boring
    • too dense -> too hard to comprehend/predict -> boring
    • imagine a log-normal distribution (interestingness vs. density)
  • consonant music signals are sparse, dissonant dense
  • consonant music signals are separable, dissonant aren't
    • eg. two tones are perceived as not in tune for not being well-separable