1 / 15

Conceptual spaces

Conceptual spaces. CSCTR – Session 6 Dana Retov á. Conceptual spaces (G ärdenfors ). Consist of a number of quality dimensions Building blocks of representations Weight, temperature, brightness, pitch, height, width, depth Abstract non-sensory dimensions

maida
Télécharger la présentation

Conceptual spaces

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Conceptual spaces CSCTR – Session 6 Dana Retová

  2. Conceptual spaces (Gärdenfors) • Consist of a number of quality dimensions • Building blocks of representations • Weight, temperature, brightness, pitch, height, width, depth • Abstract non-sensory dimensions • Represent various qualities of objects • Independent of symbolic representations (language) • Abstract representation for modeling • Do not claim to have any immediate physical realization

  3. Dimensions • Innate – hardwired in nervous system • Learned • Learning involves expanding conc. Space with new quality dimensions • Culturally dependent • Time • Scientific • Weight vs. mass

  4. Dimension of ‘time’ • In our culture and in science • One-dimensional structure isomorphic to the line of real numbers • In other cultures • Circular structure

  5. Dimension of ‘pitch’ • 1-D structure from low tones to high • Logarithmic scale • Acoustic frequency is spatially coded in chochlea

  6. Color space • Hue • Brightness • Color

  7. Contrast classes • Skin color • Possible colors are the subset of the full color space • Can be irregular • Subset “stretched” to form a space with the same topology • Color terms can be used even if they do not correspond to the original hues • “Metaphor”

  8. Conceptual spaces • Similarity - defined via distance between representing points • Object – point in a conceptual space • Property/Concept – region of a conceptual space

  9. Metaphors in conceptual space • A metaphor expresses a similarity in topological or metrical structure between different quality dimensions • A word that represent a particular structure in one quality dimension can be used as a metaphor to express a similar structure about another dimension • Metaphors transfer knowledge about one conceptual dimension to another • E.g. space mapped to time

  10. Primary and secondary properties • Predicates are assigned regions of space (red) • Secondary properties (tall) • “Parasitical” on other properties • “Big chihuahua”

  11. Marr (1982) • Cylinders • Length • Width • Angle between the dominating and the other one • Position of the added cylinder • Prototypical vector for an object – image schema • Subordinate cat. – subregions of the convex region

  12. Action space • Spatio-temporal patterns of forces that generate the movement

  13. Functional concepts • Function of an object can be analysed • Actions it affords • Functional concept = convex region in action space

  14. Conceptual spaces • Ideal to represent • Concepts on basic level of conceptualization • Spatial-relations concepts • Rules follow from the topological structure • For example: • A point in a conceptual space will always have an internally consistent set of properties • Something cannot be blue and yellow at the same time • Everything that is green is also colored • Nothing is in the same place in the same time • Transitivity – as in “earlier than”

  15. Questions?

More Related