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#machine learning Preprint Sep 2026

CI-PINN: Causal Integral Physics-Informed Neural Network for Solving Evolution Equations

Physics-informed neural networks (PINNs) solve partial differential equations (PDEs) by incorporating governing physical laws into the training loss. For evolution equations, however, their conventional pointwise space--time representation does not explicitly encode temporal dependence, which can hinder accurate predic...

Xiao-Dong Feng, Zi-Yue Sun, Tao Tang et al. · 0 citations

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