Estimating Shape Parameters of Piecewise Linear-Quadratic Problems

نویسندگان

چکیده

Piecewise Linear-Quadratic (PLQ) penalties are widely used to develop models in statistical inference, signal processing, and machine learning. Common examples of PLQ include least squares, Huber, Vapnik, 1-norm, their asymmetric generalizations. Properties these estimators depend on the choice penalty its shape parameters, such as degree asymmetry for quantile loss, transition point between linear quadratic pieces Huber function.

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ژورنال

عنوان ژورنال: Open journal of mathematical optimization

سال: 2021

ISSN: ['2777-5860']

DOI: https://doi.org/10.5802/ojmo.10