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Connectionist Models: Basics

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Dealing with Implicit Negatives Explicit positive for above Implicit negatives for below, left, right, etc in Regier: E = i,p (( ti,p oi,p) * i,p )2 ... – PowerPoint PPT presentation

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Title: Connectionist Models: Basics


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Dealing with Implicit Negatives
  • Explicit positive for above
  • Implicit negatives for below, left, right, etc
  • in Regier
  • E ½ ?i,p (( ti,p oi,p) ßi,p )2,
  • where i is the node, p is the pattern,
  • ßi,p 1 if explicit positive,
  • ßi,p lt 1 if implicit negative

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Learning System
dynamic relations (e.g. into)
structured connectionistnetwork (based on
visual system)
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Topological Relations
  • Separation
  • Contact
  • Coincidence
  • Overlap
  • Inclusion
  • Encircle/surround

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Issue 2 Shift Invariance
  • Backprop cannot handle shift invariance (it
    cannot generalize from 0011, 0110 to 1100)
  • But the cup is on the table whether you see it
    right in the center or from the corner of your
    eyes (i.e. in different areas of the retina map)
  • What structure can we utilize to make the input
    shift-invariant?

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Limitations
  • Scale
  • Uniqueness/Plausibility
  • Grammar
  • Abstract Concepts
  • Inference
  • Representation

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Demo of the Regier System
  • on the English above

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Language and Thought
  • We know thought (our cognitive processes)
    constrains the way we learn and use language
  • Does language also influence thought?
  • Benjamin Whorf argues yes
  • Psycholinguistics experiments have shown that
    linguistics categories influence thinking even in
    non-linguistics task

Language
Thought
cognitive processes
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5 levels of Neural Theory of Language
Spatial Relation
Motor Control
Metaphor
Grammar
Cognition and Language
Computation
Structured Connectionism
abstraction
Neural Net
SHRUTI
Computational Neurobiology
Triangle Nodes
Biology
Neural Development
Midterm
Quiz
Finals
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Language, Learning and Neural Modelingwww.icsi.be
rkeley.edu/AI
  • Scientific Goal
  • Understand how people learn and use language
  • Practical Goal
  • Deploy systems that analyze and produce
    language
  • Approach
  • Build models that perform cognitive tasks,
    respecting
  • all experimental and experiential
    constraints
  • Embodied linguistic theories with advanced
  • biologically-based computational methods

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Constrained Best Fit in Nature
inanimate animate
physics lowest energy state
chemistry molecular minima
biology fitness, MEU Neuroeconomics
vision threats, friends
language errors, NTL
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Simulation-based language understanding
Utterance
Harry walked to the cafe.
Constructions
Analysis Process
General Knowledge
Simulation Specification
Schema Trajector Goal walk Harry cafe
Belief State
Simulation
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Simulation Semantics
  • BASIC ASSUMPTION SAME REPRESENTATION FOR
    PLANNING AND SIMULATIVE INFERENCE
  • Evidence for common mechanisms for recognition
    and action (mirror neurons) in the F5 area
    (Rizzolatti et al (1996), Gallese 96, Boccino
    2002) and from motor imagery (Jeannerod 1996)
  • IMPLEMENTATION
  • x-schemas affect each other by enabling,
    disabling or modifying execution trajectories.
    Whenever the CONTROLLER schema makes a transition
    it may set, get, or modify state leading to
    triggering or modification of other x-schemas.
    State is completely distributed (a graph marking)
    over the network.
  • RESULT INTERPRETATION IS IMAGINATIVE SIMULATION!

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Psycholinguistic evidence
  • Embodied language impairs action/perception
  • Sentences with visual components to their meaning
    can interfere with performance of visual tasks
    (Richardson et al. 2003)
  • Sentences describing motion can interfere with
    performance of incompatible motor actions
    (Glenberg and Kashak 2002)
  • Sentences describing incompatible visual imagery
    impedes decision task (Zwaan et al. 2002)
  • Simulation effects from fictive motion sentences
  • Fictive motion sentences describing paths that
    require longer time, span a greater distance, or
    involve more obstacles impede decision task
    (Matlock 2000, Matlock et al. 2003)

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Neural evidence Mirror neurons
  • Gallese et al. (1996) found mirror neurons in
    the monkey motor cortex, activated when
  • an action was carried out
  • the same action (or a similar one) was seen.
  • Mirror neuron circuits found in humans (Porro et
    al. 1996)
  • Mirror neurons activated when someone
  • imagines an action being carried out (Wheeler et
    al. 2000)
  • watches an action being carried out (with or
    without object) (Buccino et al. 2000)

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Area F5c
Convexity region of F5 Mirror neurons
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F5 Mirror Neurons
Gallese and Goldman, TICS 1998
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Category Loosening in Mirror Neurons (60)
Observed A is Precision Grip B is Whole Hand
Prehension Action C precision grip D
Whole Hand Prehension
(Gallese et al. Brain 1996)
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PF Mirror Neurons
  • Neuron responds to execution (grasping) but to
    grasping and releasing in observation.
  • Mirror neurons in parietal cortex.
  • Difference in left hand and right hand.

(Gallese et al. 2002)
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A (Full vision) B (Hidden) C (Mimicking) D
(HiddenMimicking)
Umiltà et al. Neuron 2001
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F5 Audio-Visual Mirror Neurons
Kohler et al. Science (2002)
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Somatotopy of Action Observation
Foot Action
Hand Action
Mouth Action
Buccino et al. Eur J Neurosci 2001
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The Mirror System in Humans
BA6
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The ICSI/Berkeley Neural Theory of Language
Project
ECG
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Computing other relations
  • The 2/3 node is a useful function that activates
    its outputs (3) if any (2) of its 3 inputs are
    active
  • Such a node is also called a triangle node and
    will be useful for lots of representations.

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Triangle nodes and McCullough-Pitts Neurons?
A
B
C
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Representing concepts using triangle nodes
triangle nodes when two of the neurons fire, the
third also fires
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They all rose
  • triangle nodes
  • when two of the neurons fire, the third also
    fires
  • model of spreading activation

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Basic Ideas behind the model
  • Parallel activation streams.
  • Top down and bottom up activation combine to
    determine the best matching structure.
  • Triangle nodes bind features of objects to values
  • Mutual inhibition and competition between
    structures
  • Mental connections are active neural connections

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Can we formalize/model these intuitions
  • What is a neurally plausible computational model
    of spreading activation that captures these
    features.
  • What does semantics mean in neurally embodied
    terms
  • What are the neural substrates of concepts that
    underlie verbs, nouns, spatial predicates?

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Spreading activation and feature structures
  • Parallel activation streams.
  • Top down and bottom up activation combine to
    determine the best matching structure.
  • Triangle nodes bind features of objects to values
  • Mutual inhibition and competition between
    structures
  • Mental connections are active neural connections

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Feature Structures in Four Domains
Barrett Ham Container Push
deptCS Color pink Inside region Schema slide
sid001 Taste salty Outside region Posture palm
empGSI Bdy. curve Dir. away

Chang Pea Purchase Stroll
deptLing Color green Buyer person Schema walk
sid002 Taste sweet Seller person Speed slow
empGra Cost money Dir. ANY
Goods thing
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