arxivcs.LGeess.SYmath.OC2026-07-22
Local Stability and Gaussian Smoothing of Quantized Neural Networks
Sergey Salishev, Anton Makarov, Oleg Granichin
We study Gaussian averaging as a smooth surrogate for quantized neural models. Under bounded local oscillation, we derive a local dimension-dependent bound on |f-g|, linking Gaussian smoothing to the stability analysis of discontinuous networks. We compute closed-form Gaussian av…