Design of a differentiable L-1 norm for pattern recognition and machine learning

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Min Zhang, Yiming Wang, Hongyu Chen, Taihao Li, Shupeng Liu, Xianfeng Gu, Xiaoyin Xu

Published: 01 Oct 2024, Last Modified: 04 Nov 2025Pattern Recognition LettersEveryoneRevisionsCC BY-SA 4.0
Abstract: Highlights•Designed an L-1 norm that is differentiable and has a high linearity.•The new L-1 norm does not involve the absolute sign required in conventional definition.•The new definition provides methods involving L-1 norm with an analytical solution.