Author

Yitzchak Shmalo

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Preprint Sep 2026

Entropy and singularity of spectral and pivotal sets in planar percolation

The spectral sample and pivotal set of a percolation crossing have the same one- and two-coordinate inclusion probabilities under the uniform product measure. We prove that both Shannon entropies are comparable to total influence for critical square-lattice bond and triangular-lattice site crossings, with matching esti...

Yitzchak Shmalo · 0 citations

#machine learning Preprint Jul 2026

Neural means and kernel corrections for operator learning

Supporting results include a second-moment identity that predicts stacking outcomes from measured correlations, an optimal-recovery certificate, and a distribution-free coverage band, the only uncertainty signal that survives the authors' tests.

Yitzchak Shmalo · 0 citations

Preprint Jul 2026

A law of robustness for two-layer neural networks with arbitrary weights

A universal version of this law for Lipschitz-parameterized classes is proved, but under a polynomial bound on the parameters; at depth three that boundedness hypothesis is genuinely necessary.

Yitzchak Shmalo · 0 citations