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Affine Geometry of Gaussian ReLU Networks via Conditional Kac-Rice Formulas VQSF2E35BX

URI	`m2://res/VQSF2E35BX`
Kind	preprint
Creators	Recep Özkan, Christian Hirsch
Date	2026-09-26
Subjects	arxiv stat.ML, arxiv cs.LG, arxiv math.PR
Scope	border

Expressions

e1: version, preprint

Date	2026-09-26
Ids	arXiv 2609.32695

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Negligibility of invisible activation switches	statement	proposition A.5	arxiv
Visible facets and the scalar kink set	statement	proposition C.4	arxiv
Finite Gaussian geometry	statement	lemma A.2	arxiv
Propagation of covariance moments	statement	proposition B.3	arxiv
Scalar kink measure	statement	theorem 2.2	arxiv
Intensities for constant variances	statement	corollary D.1	arxiv
Switch counts and scalar kinks	statement	lemma A.3	arxiv
Conditional Kac--Rice formula in fixed dimension	statement	proposition C.2	arxiv
Surface formula for a piecewise-affine Gaussian field	statement	lemma C.5	arxiv
Conditional Kac--Rice formula at finite width	statement	proposition B.1	arxiv
Propagation of the covariance matrices	statement	proposition C.3	arxiv
Scalar kinks in one dimension	statement	theorem 2.1	arxiv
Expected number of activation switches	statement	proposition A.4	arxiv
Moment bounds	statement	lemma B.2	arxiv
Piecewise-affine Gaussian zero formula	statement	lemma B.4	arxiv
Switches, finite partitions, and visibility	definition	definition A.1	arxiv
Finite polyhedral geometry and Gaussian genericity	statement	proposition C.1	arxiv

Catalogue records

arxiv: 2609.32695 (work)