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Learnlearning | Cognitive
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Review 3 | Review 4
Week 4: Similarity
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Nosofsky (1984). Choice, similarity, and the context theory of
classification. Journal of Experimental Psychology: Learning, Memory, and
Cognition, 10, 104-0114.
Nosofsky, R. M., & Zaki, S.R. (1998). Dissociations between categorization
and recognition in amnesic and normal individuals: An exemplar-based
interpretation. Psychological Science, 9, 247-255.
Goldstone, R. L., & Barsalou, L.W. (1998). Reuniting perception and
conception. Cognition, 65, 231 - 262.
Wisniewski, E.J., & Bassok, M. (1999). What makes a man similar to a tie?
Stimulus compatibility with comparison and integration. Cognitive Psychology,
39, 208-238.
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Common Threads, Reactions, and Future
Research
This topic for this week was exemplar-based models of
classification of objects.
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According to exemplar models of classification, people store
individual exemplars in memory and classify new objects based on their
similarity to stored exemplars. The first question was: Why would we
do that? General discussion pointed to the answer that it assists us in
classifying objects into categories. For example, if asked which is more
likely to sing, a small or large bird, the more likely answer is large bird
because retrieving examples from memory does not bring to mind any large
singing birds. The idea is that examples that are most similar to the item
to be classified are categorized quickly. Exemplar models allow for
predictions and inferences. |

Editor: Lesley |
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There is no list of jointly necessary and sufficient
features. Some exemplars are better than others. There is a graded
category membership. We know this because we have a mental explanation
of things that goes beyond similarity. We consider features
differently, and some categories are more salient. The degree to which
features are related to each other is important. Also, defining
features are salient even when they are not frequently encountered.
So, although a frequently perceived feature helps classify objects
quickly, it is not enough. We have to consider more than similarity
and also frequency of association of a feature to other exemplars in
the category. We have to be able to make inductions that are neither
too broad, or too narrow. We have seen how we use similarity in
sentence verification. We verify sentences such as, A robin is a
bird, much faster than sentences such as, An ostrich is a bird.
We discussed homeopathy and contagion. We brainstormed examples of
homeopathy which is when the cure and cause appear to be similar to the
symptoms. We could not think of any concrete examples in our culture, but we
did discuss Rozin, who presented a colloquium at KSU last year on Disgust.
For example, people will reject chocolate if it is shaped into a disgusting
object. Contagion is basically a cause and effect paradigm. The germ theory
was the obvious example. Originally, people could not believe that devastating diseases
were caused by such tiny germs. It is unlikely, however, that they did not
recognize that some form of contact with infected people resulted in many
diseases.
The argument against the exemplar-based model, that we
were concerned about, was that it did not adequately explain how we
could classify novel objects. We need a method of accommodating to
novel objects in order to learn them. Clearly, having an
exemplar-based system enabled us to benefit from experience that we
could generalize to new situations. However, if we did not have a
system that enabled us to create new exemplars, we would be unable to
learn. The big question was how are concepts structured so that if you
learn about one thing, you can generalize to others? One of the ways
of generalizing is based on similarities. Objects are not just similar
in perception. We have rules and criteria that have to be met, for
example, a prime number has very precise rules that we can state
easily once we have learned them. Exemplar and Prototype models are actually
equivalent. The problem was in defining similarity and this is where
the articles offered different approaches. Context theory was interpreted in
terms of choice theory and similarity to exemplars. The relationship between
identification and classification was explained. An important rule to
consider in the description of similarity is the response-ratio rule. That
is, given an object X, how do you classify it? Context theory assumes people
classify stimulus based on their similarity to stored category exemplars and
the probability of classifying a stimulus as a member of a particular
category is a ratio of the similarity of the stimulus to exemplar in the
category over the similarity of the stimulus to exemplars on all
categories. Thus, all objects are classified according to the degree
of similarity they have to other objects in the category. This works for
individual data, but cannot be integrated. Context theory uses the city
block metric in which the similarity of two objects is measured by the sum
of the absolute differences. This is true for separable (distinctive)
features but it is much more difficult for integral features (such as
luminescence and hue). |
The way in which they [optimal
weights] were computed sparked discussion. The stimuli used were
binary and not related to the real-world. We did not think that we
break up objects like that.
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Different levels of attention were
assumed. People do not make mistakes when classifying according to a
single feature such as shape or color of an object. Improved
performance is related to selective attention. In order for the
mapping hypothesis to be successful the optimal weights were required
in the model. The way in which they were computed sparked
discussion. The stimuli used were binary and not related to the
real-world. We do not break up objects like that. These tasks were
unnatural in classification or identification. Further, context and
movement were not part of this classification and identification
model. In the real world objects have many features and we cannot
attend to all of them. We require some selection for features we
choose to attend to. The experimental paradigms used binary valued
dimensions. The generalizability of using binary
valued dimensions was questioned. After all, how many objects in the world,
do we perceive as binary? We could think only on an on-off switch and
sometimes a question is right or wrong. |
Context theory arises as a
consequence of integrating the mapping hypothesis of the
identification-classification relationship with models in the areas of
choice and similarity. Context theory was related to a more general
theoretical framework for the modeling of choice and similarity and the
ratio-response rule for classification was related to Luce’s (1963) choice
model for identification.
Bearing the different theories and models in mind,
we attacked the question (which was to be raised many times during
future discussions) of whether we have different memory systems or a
single-system exemplar memory model. Exemplar theory assumes that
categorization and recognition performance can be explained using a
unified framework that depends on a single representation system.
Although dissociations between categorization and
recognition in amnesic and normal individuals has been interpreted as
evidence of different memory systems, the argument was that this
evidence can be interpreted as supporting a single-system exemplar
memory model. According to this argument, poor performance on recognition tasks but not on
classification tasks for both amnesic patients and normal control
subjects, who have had a delay between learning and testing, is due to
memory sensitivity and not to multiple memory systems. That is,
amnesic patients have lower memory sensitivity.
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There is evidence of double dissociation provided by
data from patients with Parkinson’s disease. Groups of PD patients
displayed reverse trends compared to amnesic patients in recognition and
categorization tasks. The PD patients performed as well as the normal
subjects on the memory-questionnaire, but performed significantly worse than
both normal subjects and amnesic patients on the early classification task.
The single-memory-system model may account for this by claiming the
interaction of multiple component processes. Patient data, however, from E.
P,
provides the greatest challenge to the single-system exemplar model. E.P.
recognized a consecutively presented pattern at chance levels (normal
subjects perform with 95% accuracy), but performed with the same
accuracy as normal subjects in a categorization task.
Some of the evidence was explained, but we did not
find the explanation entirely satisfactory. We did not feel that the
authors were able to account for all the patient data in a
satisfactory way. The attempt to explain this data as highly unusual
and not be generalizable to normal subjects was not adequate. We
concurred with Dan who said, “If you say that pigs don’t fly, you just
have to prove that one pig flies to negate the statement.” |
...we attacked the question (which was
to be raised many times during future discussions) of whether we have
different memory systems or a single-system exemplar memory model
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Questions to think about included: What new procedures
could be made using these models? How would we use this model to predict
better performance for amnesic patients?
Taking what we had learned about the theories and
models of classification of objects and the different memory
systems/single-system exemplar memory model debate we then examined how
conceptual thought is grounded in perceptual similarity. Historically, there
has been a division between conceptual and perceptual systems suggesting
that perceptual similarities are not used when creating categories. If,
however, conceptual processing shares computational resources with
perception, than this suggests that a common representational and processing
system underlies both. Two approaches were mentioned: the eliminative view
and the agnostic view. The former advocated that human knowledge contains no
non-perceptual representations and that amodal symbols have arbitrary
relations to perception and to their referents in the world. The agnostic
view differs from the eliminative view in its strictness. It suggests that
human knowledge has major perceptual components and may or may not contain
non-perceptual components. The agnostic view states that these amodal
symbols may exist, but are not always necessary. The agnostic view stresses
the evolution of concepts from perception through processes that can
eventually achieve abstract end states. There is strong evidence for this
idea in studies that show that children rely on perceptual representations
when developing their concept of numbers.
The discussion of amodal systems led to the discussion
of language and its use as an abstract amodal system. This is especially
relevant in reading as we at automatically process the symbols we perceive
as information. Even in perceiving objects such as a coffee cups, we often
do not define it by what it looks like, but rather by its function.
The take-home message is that
perceptual mechanisms underlie conceptual processing to a considerable
degree.
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In the many roles of
perception in conception, the primitive appeal of overall similarity became
a point of discussion. For example, what is a bachelor and why do we
have so much trouble describing one when there are simple rules we could
use, but do not because they do not adequately describe the meaning of the
concept? The appeal of overall similarity is in the fact that people make
similarity judgments much more easily when objects are identical than when
they have to decide whether they share a single property in common.
A point to consider was: Do geons bind to a specific
perception?
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Also, learned perceptual similarity occurs when people
learn to recognize perceptual similarity when it would not be obvious,
but for the context. Are there situations where amodal representations
are good or even essential for functioning? And do we have amodal
representations for everything? |
Another aspect of similarity studied this week dealt
with how we process different stimuli. It is intuitive to assume that
different types of processing are compatible with different types of
stimuli. Specifically, stimuli such as apples and oranges, which are
taxonomically related (i.e., they belong to the same superordinate category)
are compatible with comparison, while stimuli such as apples and baskets,
which are thematically related (i.e., apples go in baskets), are more
compatible with integration. Stimuli that are taxonomically related
are alignable (e.g., apple-orange). Alignability refers to the ease of
comparison, the judgment of similarities and differences. Nonalignable
stimuli (e.g., apple-basket, man-tie) may belong to categories that are
based on thematic relations (e.g., events, places, scenes, etc.).
Category formation is affected by both comparison and
integration. Models of induction also focus solely on feature comparison,
yet there is clear evidence that thematic relations play a role. There are
also implications regarding metaphors, similes, and analogies and conceptual
combination. The take-home message was clear. When categorizing concepts we
need to include integration. Cognitive models must include both integration
and comparison processes and the effects of stimulus compatibility. Even
when clearly instructed otherwise, people enlist both integration and
comparison processes depending upon the stimuli. We are less likely to
integrate concepts that are highly alignable. We compare by category first. The kinds of stimuli can override
task-related stimuli.
At the end of the week did we believe that we
had a single exemplar-based system? Perhaps. But we were not
convinced. There is too much evidence that we represent concepts in
separate systems. Our representations constrain our output. Context is
too important, and we need to pay careful attention to it. I
think there is enormous potential for artificial intelligence in using
rule-based exemplar models. Classification systems using exemplar
theories modeled on computer simulations have shown success. We
have highlighted the advantages and the limits to these models, as we
saw them, but the models clearly work on some level. We were
prepared to investigate how objects are categorized and the conceptual
hierarchy.
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