The Concrete Substrates of Abstract Rule Use Bradley Love .
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Transcript of The Concrete Substrates of Abstract Rule Use Bradley Love .
The Concrete Substrates of Abstract Rule Use
Bradley Love
www.ccc.utexas.edu
Three Domains
• Tracking basic statistics in our environment.
• Learning seemingly abstract rules.
• Learning and reasoning about future rewards in dynamic environments.
Basic Story
• Learning is constrained by– non-rational mechanisms– the nature of domain representations– trial-by-trial updates with regards to current
representations in memory.
• Seemingly abstract or rational
explanations prove not to be upon closer inspection.
Tracking Basic Statistics
• Variance• Mean
Tracking Variability
Tracking Variability
Rational Models
• Fried and Holyoak (1984)– Maximum likelihood– unbiased estimator/consistent
• Tenenbaum and Griffiths (2001)– Bayesian updating– Globally Bayesian
Tracking Variability
Obvious Mechanistic Approach
• Error driven learning of cluster position and variance.– updates are trial by trial– are with regard to a memory representation
of each category
Formally..
Mechanistic Model
Rational or Mechanistic?
• Trial by trial error-driven learning makes local updates.– all statistics are local in error-driven learning
• We can use this to disentangle the competing explanations.
Tracking Variability (locally)
What about the mean?
What about the mean?
Tracking Statistics
• People appear to update with regards to representations in memory in a trial-by-trial fashion.
• Learning is error-driven and sensitive to the error term (i.e., task goal)– we see this in many domains (e.g., inference
vs. classification learning)
Verbal Rules?
• Certainly, we can implement and report strategies, but that doesn’t imply categories are represented as rules.
• Are rules more concrete than they appear?
Are people really using rules?
• Rules aren’t always rules (e.g., Allen & Brooks, 1991; Ramscar, 2002).
• One alternative is clusters with selective attention.– more schema-like
Sakamoto and Love (2004)
Value 2
2 1 1 1 2 A2 2 1 2 2 B2 1 2 1 1 B2 2 2 1 1 B2 1 1 2 2 B
Value 1
1 1 1 2 1 B1 2 1 2 2 A1 1 2 1 1 A1 2 2 1 1 A1 1 1 2 2 A1 2 1 1 1 A1 1 2 2 2 A1 1 2 1 2 A1 2 1 2 1 A
Sakamoto and Love (2004)
Value 2
2 1 1 1 2 A2 2 1 2 2 B2 1 2 1 1 B2 2 2 1 1 B2 1 1 2 2 B
Value 1
1 1 1 2 1 B1 2 1 2 2 A1 1 2 1 1 A1 2 2 1 1 A1 1 1 2 2 A1 2 1 1 1 A1 1 2 2 2 A1 1 2 1 2 A1 2 1 2 1 A
Rule Route
If small, then A.
If large, then B.
Exception Route
memorize item
Sakamoto and Love (2004)
Recognition
50
60
70
80
90
100
Small Large Small Large
Inconsistent Consistent
2AFC Accuracy
Value 2
2 1 1 1 2 A2 2 1 2 2 B2 1 2 1 1 B2 2 2 1 1 B2 1 1 2 2 B
Value 1
1 1 1 2 1 B1 2 1 2 2 A1 1 2 1 1 A1 2 2 1 1 A1 1 1 2 2 A1 2 1 1 1 A1 1 2 2 2 A1 1 2 1 2 A1 2 1 2 1 A
Violating-BFollowing-A Following-A
Violating-BFollowing-A Following-A
Sakamoto and Love (2004)
Recognition
50
60
70
80
90
100
Small Large Small Large
Inconsistent Consistent
2AFC Accuracy
Value 2
2 1 1 1 2 A2 2 1 2 2 B2 1 2 1 1 B2 2 2 1 1 B2 1 1 2 2 B
Value 1
1 1 1 2 1 B1 2 1 2 2 A1 1 2 1 1 A1 2 2 1 1 A1 1 1 2 2 A1 2 1 1 1 A1 1 2 2 2 A1 1 2 1 2 A1 2 1 2 1 A
“Abstract” Rules
• Abstract rules are not specified by fixed-values.– e.g., learning an abstract notion of same and
different
• Could abstract responding be grounded in concrete episodes and trial-by-trial learning?
Exemplar Model
Kruschke’s (1992) ALCOVE
Category association
Learns association and attention weights
Size
Lum
inan
ce
Attention
Size
Lum
inan
ce
Learns association and attention weights
Adding Structure:
ChaseChase
Chaser ChaserChased Chased
one-to-one correspondence
ChaseChase
One or the other, not both
Chaser ChaserChased Chased
Parallel Connectivity
ChaseChase
Perfect relational match, but feature mismatches.Parallel connectivity satisfied.
Parallel Connectivity
Two relational mismatches, but high feature match.Parallel Connectivity violated.
ChaseChase
Disambiguation: Attention
ChaseChase
Attention determines the trade-off.
BRIDGES
Learning Abstract Rules
• Marcus et al. showed infants can learn to distinguish simple grammars.
• AAB pattern vs. ABB pattern
• No diagnostic features• Infants habituated to one grammar, then
tested with novel sounds from both grammars
Do, Do, Re (pause) Me, Me, Fa (pause) Ti, Ti, Sa (pause) ...
Representation
• Attention on position constrained• Only type-token relation used
a a b
Type_of( , )
Type_of( , )
Type_of( , )
A
A
B
a1
a2
b1
Same grammar
• Relations: perfect similarity, parallel connectivity preserved
a a b
Type_of( , )
Type_of( , )
Type_of( 1, )
c c d
Type_of( , )
Type_of( , )
Type_of( , )
A
A
B
C
C
D
a1
a2
b
c1
c2
d1
Opposite grammar
• Relations: 1 mismatch, parallel connectivity not preserved
a a b
Type_of( , )
Type_of( , )
Type_of( , )
e f f
Type_of( , )
Type_of( , )
Type_of( , )
A
A
B
E
F
F
a1
a2
b1
e
f1
f2
Learning
• Attention shifts from inconsistent features to predictive relations
• Concrete exemplar-based memory and attention shifting to relations explains performance
Lurking Concreteness in Abstract Concepts
• Pigeons appear to learn the concept of same and different.
Same Different
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Young, Wasserman and others - 1997, 2001, 2004
Experimental Details
•16 “Same” grids, 16 “Different” grids -> 4 x 4•Pigeons trained to peck green for same, red for different•Then tested with novel icons and old icons•accuracy was 83% with old icons, 71% with new
BRIDGES captures this pattern...
Concrete basis revealed in graded structure
Shades of grey
Different
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Same
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Determining relational similarity
Shades of grey
DifferentQuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
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Same
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MatchMatch
Mismatch
Mismatch
2 Mismatches
13 Mismatches
Relational categories are graded
Shades of grey
DifferentSame
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Shades of grey
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Relational categories are graded
Shades of grey
DifferentSame
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Relational categories are graded
Shades of grey
DifferentSame
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Relational categories are graded
Shades of grey
DifferentSame
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QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
Relational categories are graded
Shades of grey
DifferentSame
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
14 Mismatches 1 MismatchQuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
0
0.2
0.4
0.6
0.8
1
1.2
0.3 0.35 0.4 0.45 0.5 0.55 0.6
BRIDGES P(Different)
Pigeons P(Different)
• BRIDGES is able to attain an excellent fit ( R2 =.94)
• People respond similarly (Wasserman, Young, & Cook, 2004)
Learning Abstract Concepts
• Exemplar-based learning is sufficient– error-driven learning– trial-by-trial updates– attention shifting– analogy
• The concrete underbelly of abstract concepts shines through.– graded notion of same and different
Learning in Dynamic Environments
• How do people gain an understanding of complex systems that require ongoing interaction?
• Do people reason abstractly about these domains or does learning operate as in category learning?
• How strong of a constraint is people’s representations of the system’s state?
Melioration/Maximization
Studied extensively in a variety of animals (Herrnstein & Vaughan, 1980; Tunny & Shanks, 2002; Neth, Sims, Gray, 2006)Overwhelming result is animals prefer immediate gain and do not appear to maximize long term expected rewardsProblems for theories of rational choice?
Results
Results
Results
Conclusions
• Optimality with regards to people’s mental representation of state representation, not with regards to the environment.
• Trial-by-trial updates and bootstrap learning lead to insight into how the system operates.
Overall Conclusions
• Abstract responding is rooted in mechanisms that are concrete.
• Updates during learning are trial-by-trail, non-rational, and made with reference to current mental representations.
• This general approach to understanding cognition leads to rich predictions that are non-obvious.
Acknowledgements
• Category Learning– Matt Jones, Tyler Davis, Yasu Sakamoto
• BRIDGES/Analogy– Marc Tomlinson
• Dynamic Decision Making– Todd Gureckis
• Funding– AFOSR, ARL, NSF
Thank You.
Any Questions?
Sakamoto & Love (in prep)
Inference
Sakamoto & Love (in press)
Differentiation account:
Better memory for BX.
Isolation account:
Better memory for AX.
Sakamoto & Love (in press)
Sakamoto & Love (in press)
Sakamoto & Love (in press)
Following reconstruction, subjects classified the lines without corrective feedback.
The isolated exceptions were easier to identify (90% vs. 78%) than the differentiated exceptions, although the differentiated exceptions were more accurately reconstructed.
Beyond Classification Learning
• Subtle differences in the induction task can lead to large differences in learning difficulty and conceptual organization (Love, 2002; 2003).
• Current theories are not sensitive to these pressures.– e.g., Anderson’s (1991) rational model.– brittle, laboratory theories.
• Important because we interact in various ways with category information.
Inference vs. Classification
Inference vs. Classification
Inference vs. Classification
Inference vs. Classification
Sakamoto and Love (submit.)
• Predictions– inference learning will lead to better learning of correlated
features, even if not directly queried during training.– Knowledge should be gained more efficiently through
inference learning.– Better retention with inference learning.
• Training Implications
Sixgill
2 1 1 1 1 1 2 1 1 2 1 2 2 1 1 1 1 2 2 1 1 1 1 2 2
Sakamoto & Love (submit.)
Tiger
1 2 2 2 2 2 1 2 2 1 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1
Sixgill
2 1 1 1 1 S1 2 1 1 2 S1 2 2 1 1 S1 1 2 2 1 S1 1 1 2 2 S
Tiger
1 2 2 2 2 T2 1 2 2 1 T2 1 1 2 2 T2 2 1 1 2 T2 2 2 1 1 T
Sakamoto & Love (submit.)
Inference
Inference will lead to better learning of correlated features even if not directly queried during learning.
Sakamoto & Love (submit.)
Sixgill
2 1 1 1 1 S1 2 1 1 2 S1 2 2 1 1 S1 1 2 2 1 S1 1 1 2 2 S
Classification
Tiger
1 2 2 2 2 T2 1 2 2 1 T2 1 1 2 2 T2 2 1 1 2 T2 2 2 1 1 T
Classification will lead to better learning of the first dimension.
Sakamoto & Love (in prep)
Inference
Sakamoto & Love (in prep)
Classification
Sakamoto & Love (submit.)
ClassificationInference
Sixgill
2 1 1 1 1 S1 2 1 1 2 S1 2 2 1 1 S1 1 2 2 1 S1 1 1 2 2 S
Tiger
1 2 2 2 2 T2 1 2 2 1 T2 1 1 2 2 T2 2 1 1 2 T2 2 2 1 1 T
Sixgill
2 1 1 1 1 S
1 2 1 1 2 S1 2 2 1 1 S1 1 2 2 1 S1 1 1 2 2 S
Tiger
1 2 2 2 2 T
2 1 2 2 1 T2 1 1 2 2 T2 2 1 1 2 T2 2 2 1 1 T
Sakamoto & Love (submit.)
2030405060708090
100
Inference
% Accuracy
Dim 1 Dim 2-4 Dim 5
Tiger
1 2 2 2 22 1 2 2 12 1 1 2 22 2 1 1 22 2 2 1 1
Sakamoto & Love (submit.)
Sixgill
2 1 1 1 11 2 1 1 21 2 2 1 11 1 2 2 11 1 1 2 2
5th graders
2030405060708090
100
Inference Classification
% Accuracy
Dim 1 Dim 2-4 Dim 5
Tiger
1 2 2 2 22 1 2 2 12 1 1 2 22 2 1 1 22 2 2 1 1
Sakamoto & Love (submit.)
Sixgill
2 1 1 1 11 2 1 1 21 2 2 1 11 1 2 2 11 1 1 2 2
5th graders
Undergraduates
2030405060708090
100
Inference Classification
% Accuracy
Dim 1 Dim 2-4 Dim 5
Sakamoto & Love (submit.)
2030405060708090
100
Inference Classification
% Accuracy
Dim 1 Dim 2-4 Dim 5
5th graders
Sakamoto & Love (submit.)
Inference leads to better learning of correlated features, even those not queried.
Children like sharks learned through inference better.
Classroom exercises and assignments should emphasize reasoning from the category to multiple properties rather than from a set of properties to the category.
Sakamoto & Love (in press)