4 citations · 4 across the 6 of their papers we have counts for
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stat.ML2026
Affine Geometry of Gaussian ReLU Networks via Conditional Kac-Rice Formulas
Recep Özkan, Christian Hirsch
We study how the affine geometry of finite ReLU networks is created at random initialization and reorganized by supervised training. We call a sign-changing zero of a hidden preact…
math.PR2026
Local large deviations for linear-region growth in random piecewise-linear networks
Recep Özkan, Christian Hirsch
We study a random compositional model for the growth of affine regions in deep piecewise-linear networks. The model is generated by i.i.d.\ perturbations of the symmetric height-on…
math.PR2026
Stable and Fréchet limit theorem for subgraph functionals in the hyperbolic random geometric graph
Christian Hirsch, Takashi Owada, Ruiting Tong
We study the fluctuations of subgraph counts in hyperbolic random geometric graphs on the -dimensional Poincaré ball in the heterogeneous, heavy-tailed degree regime. In a hyper…