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Title: A study of logistic classifier: uniform consistency in finite-dimensional linear spaces
Authors: Kazakeviciute, A
Olivo, M
Keywords: Uniform consistency;Logistic classifier;Finite-dimensional linear spaces
Issue Date: 2016
Publisher: Global Science and Technology Forum
Citation: GSTF Journal of Mathematics, Statistics and Operations Research (JMSOR)
Abstract: Let X be a random variable taking values in a finite dimensional linear space and Y ∈ {0, 1} its associated label. We study the case, where conditional distribution p(x) = P(Y = 1 | X = x) depends on x through some linear form θx. We show that in this case, under a mild assumption on the distribution µ of X, a maximum-likelihood estimator pˆ, as well as the induced class of logistic classifiers, are uniformly (w.r.t. p) consistent.
ISSN: 2251-3396
Appears in Collections:Dept of Mathematics Research Papers

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