PAC learning with generalized samples and an applicaiton tostochastic geometry
Kulkarni, S.R.; Mitter, S.K.; Tsitsiklis, J.N.; Zeitouni, O.
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Volume 15, Issue 9, Sep 1993 Page(s):933 - 942
Digital Object Identifier 10.1109/34.232080
Summary:An extension of the standard probably approximately correct (PAC)
learning model that allows the use of generalized samples is introduced.
A generalized sample is viewed as a pair consisting of a functional on
the concept class together with the value obtained by the functional
operating on the unknown concept. It appears that this model can be
applied to a number of problems in signal processing and geometric
reconstruction to provide sample size bounds under a PAC criterion. A
specific application of the generalized model to a problem of curve
reconstruction is considered, and some connections with a result from
stochastic geometry are discussed
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