PriorIDENT: Prior-Informed PDE Identification from Noisy Data.

By: Cheng Tang, Hao Liu, Dong Wang

Published: 2026-03-09

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Abstract

This work addresses the challenging problem of identifying governing partial differential equations (PDEs) from noisy spatiotemporal data. It highlights issues like differentiation-induced noise amplification and ambiguity from overcomplete libraries. The paper likely introduces a novel method, PriorIDENT, to overcome these challenges by incorporating prior information into the PDE identification process, with implications for data-driven discovery of physical laws.

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PriorIDENT: Prior-Informed PDE Identification from Noisy Data. | ArXiv Intelligence