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Fumihiro Imoto

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#graph neural networks Preprint Sep 2026

Computing high-order mixed derivatives in physics-informed neural networks using multi-index Bell polynomials

This work organizes the forward recursion of the multivariate Fa\`a di Bruno formula and its explicit backpropagation over a prescribed downward-closed set of multi-indices, with the Bell-polynomial convolutions tabulated once.

Fumihiro Imoto · 0 citations