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- W2069002960 abstract "When can one simultaneously learn many concepts from the same sample? We call this “simultaneous learning.” This generalizes the notion of learning, which focuses on one concept at a time. We examine this issue along with an analogous notion for estimating the probabilities of sets, “simultaneous estimation.” In each case, an unknown distribution from a known class P of probabilities generates the samples. We show that simultaneous estimation of a class of concepts is possible if it can be simultaneously learned, and this, in turn, is possible if a somewhat richer class can be simultaneously estimated. We also characterize simultaneous learning and estimation in terms of a notion of sampling complexity. Specializing to the case where P is the set of all probabilities, we show that simultaneous learning or estimation is possible if and only if the VC dimension of the concept class is finite." @default.
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- W2069002960 date "1991-08-15" @default.
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- W2069002960 title "Simultaneous learning of concepts and simultaneous estimation of probabilities" @default.
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- W2069002960 doi "https://doi.org/10.5555/114836.114841" @default.
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