Linearized Binary Regression
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Date
2018
Publication Type
Conference Paper
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no
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OPEN ACCESS
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Abstract
Probit regression was first proposed by Bliss in 1934 to study mortality rates of insects. Since then, an extensive body of work has analyzed and used probit or related binary regression methods (such as logistic regression) in numerous applications and fields. This paper provides a fresh angle to such well-established binary regression methods. Concretely, we demonstrate that linearizing the probit model in combination with linear estimators performs on par with state-of-the-art nonlinear regression methods, such as posterior mean or maximum aposteriori estimation, for a broad range of real-world regression problems. We derive exact, closed-form, and nonasymptotic expressions for the mean-squared error of our linearized estimators, which clearly separates them from nonlinear regression methods that are typically difficult to analyze. We showcase the efficacy of our methods and results for a number of synthetic and real-world datasets, which demonstrates that linearized binary regression finds potential use in a variety of inference, estimation, signal processing, and machine learning applications that deal with binary-valued observations or measurements.
Publication status
published
Editor
Book title
2018 52nd Annual Conference on Information Sciences and Systems (CISS)
Journal / series
Volume
Pages / Article No.
8362200
Publisher
IEEE
Event
52nd Annual Conference on Information Sciences and Systems (CISS 2018)
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Methods
Software
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Organisational unit
09695 - Studer, Christoph / Studer, Christoph