A gain/loss Neural ODE with an NSFD update preserves positivity unconditionally for any step size while remaining first-order consistent and autodiff-compatible.
Ricardo and Graham, Michael D
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Structure-Preserving Neural ODEs via Nonstandard Finite Difference Discretization
A gain/loss Neural ODE with an NSFD update preserves positivity unconditionally for any step size while remaining first-order consistent and autodiff-compatible.