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Vector Symbolic Architectures: A New Building Material for AGI

Vector Symbolic Architectures: A New Building Material for AGI. Simon D. Levy Washington & Lee University Lexington, Virginia, USA Ross Gayler Veda Advantage Value Solutions Melbourne, Australia. The Yin & Yang of Intelligence. The Need for New Representational Principles.

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Vector Symbolic Architectures: A New Building Material for AGI

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  1. Vector Symbolic Architectures: A New Building Material for AGI • Simon D. Levy • Washington & Lee University • Lexington, Virginia, USA • Ross Gayler • Veda Advantage Value Solutions • Melbourne, Australia

  2. The Yin & Yang of Intelligence

  3. The Need for New Representational Principles • Ecological affordances (Gibson 1979) • Distributed/Connectionist Representations (PDP 1986) • Holographic Representations (Gabor 1971; Plate 2003) • Fractals / Attractors / Dynamical Systems (Tabor 2000; Levy & Pollack 2001)

  4. Fractal RAAM

  5. The Appeal of Connectionism(Rumelhart & McClelland 1986)

  6. WALKED WALK

  7. ROARED ROAR

  8. SPOKE SPEAK

  9. WENT GO

  10. Mary won’t give John the time of day. ignores(mary, john)

  11. The Binding Problem + ? ? ? ?

  12. Solution? Local Representations

  13. Local Representations

  14. The Problem of Two ?

  15. The Problem of Variables ignores(X, Y) X won’t give Y the time of day.

  16. Vector Symbolic Architectures(Plate 1991; Kanerva 1994; Gayler 1998)

  17. Tensor Product Binding(Smolensky 1990)

  18. Binding

  19. Bundling + =

  20. Unbinding (query)

  21. Lossy

  22. Lossy

  23. Cleanup Hebbian / Hopfield / Attractor Net

  24. Reduction

  25. Composition / Recursion

  26. john Variables X

  27. Current Applications • Modeling Surface and Structural Properties in Analogy Processing (Eliasmith & Thagard 2001) • Variables & Quantification / Wason Task (Eliasmith 2005) • Representing Word Order in a Holographic Lexicon (Jones & Mewhort 2007)

  28. Future Work: Banish the Homunculus MSC (Arathorn 2002)

  29. Future Work: Banish the Homunculus MSC (Arathorn 2002)

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