A new sigmoidal fractional derivative for regularization

In this paper, we propose a new fractional derivative, which is based on a Caputo-type derivative with a smooth kernel. We show that the proposed fractional derivative reduces to the classical derivative and has a smoothing effect which is compatible with \(\ell_{1}\) regularization. Moreover, it sa...

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Bibliographic Details
Published in:arXiv.org 2020-03
Main Authors: Rezapour, Mostafa, Sijuwade, Adebowale, Asaki, Thomas J
Format: Article
Language:English
Subjects:
Regularization
Online Access:Get full text
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Summary:In this paper, we propose a new fractional derivative, which is based on a Caputo-type derivative with a smooth kernel. We show that the proposed fractional derivative reduces to the classical derivative and has a smoothing effect which is compatible with \(\ell_{1}\) regularization. Moreover, it satisfies some classical properties.
ISSN:2331-8422