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#spectral-methods

2 curated events
papersTODAY 04:00 UTC

LiftGCN applies Joukowski spectral lifting to finite element stress prediction

Researchers introduce LiftGCN, a graph learning method designed to predict finite element stress fields that contain sharp gradients near holes, notches and load points. The approach uses a Joukowski spectral lifting transform to preserve energy and retain high-frequency graph components that standard graph neural networks tend to smooth away. The work is posted as an arXiv preprint in computer science categories.

papersSEP 10 04:00 UTC

Bayes-Optimal Diagonal Regularization in Modal Inverse Problems Follows Closed-Form Power Law

A new machine learning theory paper establishes a 'diagonal saturation principle' for modal inverse problems. When truncation noise is isotropic, the optimal diagonal Tikhonov regularizer takes a closed-form power-law shape whose exponent is fixed entirely by the prior. The authors argue this explains why learned regularization converges on an analytic solution rather than a data-dependent one.