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http://bura.brunel.ac.uk/handle/2438/17347
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. |
URI: | http://bura.brunel.ac.uk/handle/2438/17347 |
ISSN: | 2251-3396 |
Appears in Collections: | Dept of Mathematics Research Papers |
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