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26
Structure mapping in analogy and similarity
- AMERICAN PSYCHOLOGIST
, 1997
"... Analogy and similarity are often assumed to be distinct psychological processes. In contrast to this position, the authors suggest that both similarity and analogy involve a process of structural alignment and mapping, that is, that similarity is like analogy. In this article, the authors first desc ..."
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Cited by 105 (8 self)
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Analogy and similarity are often assumed to be distinct psychological processes. In contrast to this position, the authors suggest that both similarity and analogy involve a process of structural alignment and mapping, that is, that similarity is like analogy. In this article, the authors first describe the structure-mapping process as it has been worked out for analogy. Then, this view is extended to similarity, where it is used to generate new predictions. Finally, the authors explore broader implications of structural alignment for psychological processing.
Distributed Representations and Nested Compositional Structure
, 1994
"... Distributed representations are attractive for a number of reasons. They offer the possibility of representing concepts in a continuous space, they degrade gracefully with noise, and they can be processed in a parallel network of simple processing elements. However, the problem of representing neste ..."
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Cited by 54 (11 self)
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Distributed representations are attractive for a number of reasons. They offer the possibility of representing concepts in a continuous space, they degrade gracefully with noise, and they can be processed in a parallel network of simple processing elements. However, the problem of representing nested structure in distributed representations has been for some time a prominent concern of both proponents and critics of connectionism [Fodor and Pylyshyn 1988; Smolensky 1990; Hinton 1990]. The lack of connectionist representations for complex structure has held back progress in tackling higher-level cognitive tasks such as language understanding and reasoning. In this thesis I review connectionist representations and propose a method for the distributed representation of nested structure, which I call "Holographic Reduced Representations " (HRRs). HRRs provide an implementation of Hinton's [1990] "reduced descriptions". HRRs use circular convolution to associate atomic items, which are rep...
SEQL: Category learning as progressive abstraction using structure mapping
, 2000
"... The nature of categories and their acquisition is one of the central open questions in Cognitive Science. We suggest that categories are represented via structured descriptions and formed by a process of progressive abstraction, through successive comparison with incoming exemplars. This paper d ..."
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Cited by 39 (23 self)
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The nature of categories and their acquisition is one of the central open questions in Cognitive Science. We suggest that categories are represented via structured descriptions and formed by a process of progressive abstraction, through successive comparison with incoming exemplars. This paper describes how SEQL (Skorstad, Gentner, & Medin, 1988), a computer model for category learning, which is based on SME (Falkenhainer et al 1986, 1989; Forbus et al 1994) can be used to simulate a recent categorization experiment (Ramscar & Pain, 1996), using a new algorithm, Generalization and Exemplar Learning (GEL). We demonstrate that SEQL produces behavior consistent with human subjects. Introduction Similarity is often viewed as central to categorization. For instance, prototype theories of categorization posit that categorization decisions are made on the basis of the similarity of an entity to the prototypical member of that category (Rosch 1975). However, similarity-based accou...
Similarity and the Development of Rules
, 1998
"... Similarity-based and rule-based accounts of cognition are often portrayed as opposing accounts. In this paper we suggest that in learning and development, the process of comparison can act as a bridge between similarity-based and rule-based processing. We suggest that comparison involves a proce ..."
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Cited by 39 (6 self)
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Similarity-based and rule-based accounts of cognition are often portrayed as opposing accounts. In this paper we suggest that in learning and development, the process of comparison can act as a bridge between similarity-based and rule-based processing. We suggest that comparison involves a process of structural alignment and mapping between two representations. This kind
A symbolic-connectionist theory of relational inference and generalization
- Psychological Review
, 2003
"... The authors present a theory of how relational inference and generalization can be accomplished within a cognitive architecture that is psychologically and neurally realistic. Their proposal is a form of symbolic connectionism: a connectionist system based on distributed representations of concept m ..."
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Cited by 35 (4 self)
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The authors present a theory of how relational inference and generalization can be accomplished within a cognitive architecture that is psychologically and neurally realistic. Their proposal is a form of symbolic connectionism: a connectionist system based on distributed representations of concept meanings, using temporal synchrony to bind fillers and roles into relational structures. The authors present a specific instantiation of their theory in the form of a computer simulation model, Learning and Inference with Schemas and Analogies (LISA). By using a kind of self-supervised learning, LISA can make specific inferences and form new relational generalizations and can hence acquire new schemas by induction from examples. The authors demonstrate the sufficiency of the model by using it to simulate a body of empirical phenomena concerning analogical inference and relational generalization. A fundamental aspect of human intelligence is the ability to form and manipulate relational representations. Examples of relational thinking include the ability to appreciate analogies between seemingly different objects or events (Gentner, 1983; Holyoak & Thagard, 1995), the ability to apply abstract rules in novel situations (e.g., Smith, Langston, & Nisbett, 1992), the ability to understand and learn language (e.g., Kim, Pinker, Prince, & Prasada, 1991), and even the ability to appreciate perceptual similarities
The Transfer of Abstract Principles Governing Complex Adaptive Systems
- COGNITIVE PSYCHOLOGY
, 2003
"... Four experiments explored participants' understanding of the abstract principles goincipl coinci simulatios o coulat adaptive systems. Experiments 1, 2, and 3shoBU better transfero abstract principlesacroc simulatioA that were relatively dissimilar, and that this e#ect was dueto participantswho perf ..."
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Cited by 23 (8 self)
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Four experiments explored participants' understanding of the abstract principles goincipl coinci simulatios o coulat adaptive systems. Experiments 1, 2, and 3shoBU better transfero abstract principlesacroc simulatioA that were relatively dissimilar, and that this e#ect was dueto participantswho perfocip relativelypolat o the initialsimulatioB In Experiment 4, participantsshoic better abstract understandingo asimulatio when it was depicted withcohA@CU rather than idealized graphical elements.Homents fo pom perfos.Aq/ the idealizedversio o the simulatio transferred betterto a newsimulatio gomulat by the same abstractioU The results are interpreted in termso cosAq6BP--A between abstract and codAP)U coAP)U@/A o thesimulatio)/ Individualsproi toiv coivid coividual tendto oodAPU abstractioH whenconA)C@ pro)C@qUA o superficial similarities are salient.
The Transfer of Scientific Principles Using Concrete and Idealized Simulations
- THE JOURNAL OF THE LEARNING SCIENCES
, 2005
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Feature discovery in non-metric pairwise data
- Journal of Machine Learning Research
, 2004
"... Pairwise proximity data, given as similarity or dissimilarity matrix, can violate metricity. This occurs either due to noise, fallible estimates, or due to intrinsic non-metric features such as they arise from human judgments. So far the problem of non-metric pairwise data has been tackled by essent ..."
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Cited by 18 (1 self)
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Pairwise proximity data, given as similarity or dissimilarity matrix, can violate metricity. This occurs either due to noise, fallible estimates, or due to intrinsic non-metric features such as they arise from human judgments. So far the problem of non-metric pairwise data has been tackled by essentially omitting the negative eigenvalues or shifting the spectrum of the associated (pseudo-)covariance matrix for a subsequent embedding. However, little attention has been paid to the negative part of the spectrum itself. In particular no answer was given to whether the directions associated to the negative eigenvalues would at all code variance other than noise related. We show by a simple, exploratory analysis that the negative eigenvalues can code for relevant structure in the data, thus leading to the discovery of new features, which were lost by conventional data analysis techniques. The information hidden in the negative eigenvalue part of the spectrum is illustrated and discussed for three data sets, namely USPS handwritten digits, text-mining and data from cognitive psychology.
Modeling Infant Learning Via Symbolic Structural Alignment
, 2000
"... questions of Cognitive Science. Recently Marcus et al. ..."
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Cited by 13 (1 self)
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questions of Cognitive Science. Recently Marcus et al.

