Author

Leonid Sarieddine

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Jul 2026

Physics-Informed Neural Embeddings of PDE Solution Families

A physics-informed framework for learning finite-dimensional embeddings of solution families of partial differential equations using a multihead Physics-Informed Neural Network is introduced, which establishes the learned spectral profiles and principal components as robust observables of solution-manifold geometry.

Raúl Jiménez, S. Mayboroda, P. Protopapas et al. · arXiv.org · 0 citations