Representation is representation of similarities

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Representation is representation of similarities

• Edelman S., Behavioral and Brain Sciences,
  1998.
• Naresh P. Cuntoor

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Introduction
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Groundwork

• Distal shape space
• Proximal shape space
• Representing similarity distinctness, NN
  preservation, full similarity spectrum
• Distal to proximal mapping, M - constraints and
  composition, distance rank preservation

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Analysis of Mapping
f1(p) Geometry
f2(p,z) Imaging
f3(p,z) Measurements
f4(p) Dimensionality reduction

• f4 and f3 need to counteract the z-dependency of
  f2
• Absolute invariance not necessary Need
  influence of shape space changes gt view
  space changes

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Representation Measurement Dimensionality
Reduction

• Another example Sarkars face space to affine
  space

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Chorus of prototypes

• An ensemble of tuned classifiers
• Smooth response degradation

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Similarity

• Levels basic, subordinate, superordinate
• Features of similarity pi(A) ith classifier
• Measures of similarity

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Whats the brain doing?

• Novel objects how chorus deals with it
• New Pandemonium feature demons, cognitive
  demons, master demons
• Democracy in chorus
• Perception of similarity ppl. classify maps

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Experiments and Predictions

• To test second order isormophism
• Computer rendered 3D animal shapes and nonsense
  shapes
• Predicting distortion in the MDS setting can
  chorus do well?
• Parameter space distances some more important?
• Priming how does it affect?
• Neurobiology columns in IT cortex
• Qualia attributes of objects
• Scene richness humans dont see everything
• Bottom-up vs. top-down Sinhas STICKS approach

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Challenges