Author

Yizhou Sun

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#artificial intelligence Preprint Sep 2026

A Unified Uncertainty Representation for Graph Neural Networks via Doubly-Spectral Stochastic Expansion

Reliable deployment of graph neural networks requires calibration, out-of-distribution (OOD) detection, and robustness to distribution shift, yet existing methods address these needs with separate models and objectives. We model uncertain node embeddings as random graph signals: graph Fourier filters capture structural...

Fred Xu, Thomas Markovich, Florence Regol et al. · 0 citations

Jul 2026

Generalized Neural Operator for Parametric and Boundary-Value Problems

By formalizing the classical conditions for well-posedness within neural operators, this framework demonstrates the theoretical benefits of explicitly conditioning on PDE parameters and boundary conditions and achieves superior generalization across heterogeneous physical regimes while maintaining strict inference effi...

Ruoyan Li, Yizhou Sun, Wei Wang · arXiv.org · 0 citations