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Published at December 5

A Data-Driven Framework for Discovering Fractional Differential Equations in Complex Systems

physics.comp-ph

cs.AI

Released Date: December 5, 2024

Authors: Xiangnan Yu¹, Hao Xu, Zhiping Mao, HongGuang Sun, Yong Zhang, Dongxiao Zhang, Yuntian Chen²

Aff.: ¹Eastern Institute of Technology, Ningbo, Zhejiang, People's Republic of China; ²Zhejiang Key Laboratory of Industrial Intelligence and Digital Twin, Eastern Institute of Technology, Ningbo, Zhejiang, People's Republic of China

Arxiv: http://arxiv.org/pdf/2412.03970v1

Soil type		Equation	$\alpha$	$\eta$	$E$	Error
Clay	Learned model	$\varepsilon^{(0.374)}_{t}=-2.402\varepsilon+8.125$	0.374	0.137	0.328	0.151
Clay	Ground truth	$\varepsilon^{(0.371)}_{t}=-3.010\varepsilon+10.745$	0.371	0.103	0.320	/
Silt	Learned model	$\varepsilon^{(0.448)}_{t}=-7.344\varepsilon+18.955$	0.448	0.0612	0.449	0.256
Silt	Ground truth	$\varepsilon^{(0.562)}_{t}=-5.681\varepsilon+14.910$	0.562	0.0778	0.442	/