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PAC analyses of a ‘similarity learning’ IBL algorithm

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Book cover Case-Based Reasoning Research and Development (ICCBR 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1266))

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Abstract

VS-CBR [14] is a simple instance-based learning algorithm that adjusts a weighted similarity measure as well as collecting cases. This paper presents a ‘PAC’ analysis of VS-CBR, motivated by the PAC learning framework, which demonstrates two main ideas relevant to the study of instance-based learners. Firstly, the hypothesis spaces of a learner on different target concepts can be compared to predict the difficulty of the target concepts for the learner. Secondly, it is helpful to consider the ‘constituent parts’ of an instance-based learner: to explore separately how many examples are needed to infer a good similarity measure and how many examples are needed for the case base. Applying these approaches, we show that VS-CBR learns quickly if most of the variables in the representation are irrelevant to the target concept and more slowly if there are more relevant variables. The paper relates this overall behaviour to the behaviour of the constituent parts of VS-CBR.

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David B. Leake Enric Plaza

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Griffiths, A.D., Bridge, D.G. (1997). PAC analyses of a ‘similarity learning’ IBL algorithm. In: Leake, D.B., Plaza, E. (eds) Case-Based Reasoning Research and Development. ICCBR 1997. Lecture Notes in Computer Science, vol 1266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63233-6_514

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  • DOI: https://doi.org/10.1007/3-540-63233-6_514

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  • Online ISBN: 978-3-540-69238-6

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