Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method

doi:10.1016/j.jcp.2025.114273

Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method

2025-08-10

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DOI：10.1016/j.jcp.2025.114273

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Abstract

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• Solving high-dimensional partial integro-differential equations (PIDEs) with machine accu-racy; • A novel and efficient solver for symbolic machine learning via reinforcement learning; • Significantly outperform deep neural network-based approaches in terms of solution accuracy and interpretability.

Keywords:

high-dimensional PIDEs

symbolic machine learning

reinforcement learning

solution accuracy

interpretability

Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method

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