MTNet is a new auxiliary PINN framework that solves the generalized equation of phonon radiative transfer by converting it to a differential system, capturing multiscale phonon transport in nanostructures beyond standard approximations.
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Gauss-Newton descent whitens errors by projecting Newton directions or gradients onto the tangent space, replacing JJ^T with the identity and removing parameterization distortions that affect Newton descent.
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A Unified Multiscale Auxiliary PINN Framework for Generalized Phonon Transport
MTNet is a new auxiliary PINN framework that solves the generalized equation of phonon radiative transfer by converting it to a differential system, capturing multiscale phonon transport in nanostructures beyond standard approximations.