Download PDF by Henri Prade, Gilles Richard: Computational Approaches to Analogical Reasoning: Current

By Henri Prade, Gilles Richard

ISBN-10: 3642545157

ISBN-13: 9783642545153

ISBN-10: 3642545165

ISBN-13: 9783642545160

Analogical reasoning is really a strong mode for drawing believable conclusions and fixing difficulties. it's been the subject of an incredible variety of works through philosophers, anthropologists, linguists, psychologists, and laptop scientists. As such, it's been early studied in synthetic intelligence, with a specific renewal of curiosity within the final decade.

The current quantity presents a based view of present examine traits on computational methods to analogical reasoning. It starts off with an outline of the sphere, with an intensive bibliography.

The 14 accumulated contributions conceal a wide scope of matters. First, using analogical proportions and analogies is defined and mentioned in a variety of ordinary language processing difficulties, in addition to in automatic deduction. Then, varied formal frameworks for dealing with analogies are awarded, facing case-based reasoning, heuristic-driven thought projection, common sense reasoning approximately incomplete rule bases, logical proportions prompted by means of similarity and dissimilarity signs, and analogical proportions in lattice buildings. finally, the quantity studies case reports and discussions in regards to the use of similarity judgments and the method of analogy making, at paintings in IQ assessments, creativity or different cognitive tasks.

This quantity gathers totally revised and multiplied types of papers provided at a global workshop‚ in addition to invited contributions. All chapters have benefited of a radical peer assessment process.

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Taking the term to its restrained graphical sense, the example in Fig. 1 illustrates a proportional analogy between binary images made of black and white pixels. This analogy makes sense for human beings. Two oppositions are seen in this analogy. The first opposition is between a happy and a sad expression. The second opposition is between two faces (of two people). The fact that the two faces may be interpreted as belonging to a male and a female character may depend on cultural, social or even individual judgements.

2 Sketch of the Method The following gives a sketch of the proposed method. • Convert each object into a feature vector; • check for separation of space; • define an order on the feature vectors (we use least correlations of values among features); • sort the feature vectors according to lexicographic order in the defined order of features; • build a feature tree for the sorted feature vectors; • traverse the feature tree in parallel in breadth-first order to compute the differences between the feature vectors by blocks; • output the list of pairs of intervals (on the last level, each interval should be reduced to one object if the space is well separated) that corresponds to each vector difference.

Figure 5 illustrates this process for the feature tree given in Fig. 4. 2 Sketch of the Method The following gives a sketch of the proposed method. • Convert each object into a feature vector; • check for separation of space; • define an order on the feature vectors (we use least correlations of values among features); • sort the feature vectors according to lexicographic order in the defined order of features; • build a feature tree for the sorted feature vectors; • traverse the feature tree in parallel in breadth-first order to compute the differences between the feature vectors by blocks; • output the list of pairs of intervals (on the last level, each interval should be reduced to one object if the space is well separated) that corresponds to each vector difference.

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Computational Approaches to Analogical Reasoning: Current Trends by Henri Prade, Gilles Richard


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