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# Polynomial Fitting Based on Integrable Deep Neural Networks for Landau-Energy of Ferroelectrics

*Proceedings of 2024 International Conference on Machine Learning and Intelligent Computing*, PMLR 245:421-429, 2024.

#### Abstract

Fitting the Landau-Energy polynomial has always been challenging because it is difﬁcult to directly obtain Landau-Energy data for coefﬁcient ﬁtting. One possible approach to address this problem is to handle the derivative of the Landau-Energy polynomial with respect to the second-order polar- ization (dielectric constant) to obtain relevant information about the Landau-Energy. This chapter will introduce a method based on integrable neural networks to obtain an approximate model for the Landau-Energy polynomial and its parameters.