论文标题
一种新的Sigmoidal分数衍生物用于正则化
A new sigmoidal fractional derivative for regularization
论文作者
论文摘要
在本文中，我们提出了一种新的分数衍生物，该衍生物基于具有光滑内核的Caputo型衍生物。我们表明，所提出的分数衍生物将减少到经典衍生物，并具有平滑效果，与$ \ ell_ {1} $正则化兼容。此外，它满足了一些经典属性。
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.
