Author

Jia-Xi Xu

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#machine learning Preprint May 2026

PACE-FNO: Physics-Aligned Canonical Equivariance for Fourier Neural Operators

Neural operators are often tested on states that differ physically from training data. A distinct failure occurs when the physical dynamics are unchanged but the observed coordinate frame differs from training. PACE-FNO addresses this case by estimating the frame, predicting after pulling the field to a canonical repre...

Jia-Xi Xu, Chang-Hong Mou, Ye-Yu Zhang et al. · 1 citation

#machine learning Preprint Sep 2026

Geometric Identification in Predict-Then-Optimize Learning

Decision-focused surrogates can recover downstream decisions without identifying the quotient report. We characterize the equality set of the convex Smart Predict-then-Optimize surrogate (SPO+) population risk. Under central symmetry, the centered mean class is the unique Bayes minimizer exactly when every nonzero effe...

Jia-Xi Xu, Chang-Hong Mou, Ke-Ji Liu et al. · 0 citations