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Analogy and Structure (Paperback, Softcover reprint of hardcover 1st ed. 1992)
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Analogy and Structure (Paperback, Softcover reprint of hardcover 1st ed. 1992)
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Analogy and Structure provides the necessary foundation for
understanding the nature of analogical and structuralist (or
rule-based) approaches to describing behavior. In the first part of
this book, the mathematical properties of rule approaches are
developed; in the second part, the analogical alternative to rules
is developed. This book serves as the mathematical basis for
Analogical Modeling of Language (Kluwer, 1989). Features include: A
Natural Measure of Uncertainty: The disagreement between randomly
chosen occurences avids the difficulties of using entropy as the
measure of uncertainty. Optimal Descriptions: The implicit
assumption of structuralist descriptions (namely, that descriptions
of behavior should be corrected and minimal) can be derived from
more fundamental statements about the uncertainty of rule systems.
Problems with Rule Approaches: The correct description of
nondeterministic behavior leads to an atomistic, analog alternative
to structuralist (or rule-based) descriptions. Natural Statistics:
Traditional statistical tests are eliminated in favor of
statistically equivalent decision rules that involve little or no
mathematical calculation. Psycholinguistic Factors: Analogical
models, unlike, neural networks, directly account for probabilistic
learning as well as reaction times in world-recognition
experiments.
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