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math.PR2026
Correlated initialization of deep residual networks
Felix Benning, Ivan Nourdin, Giovanni Peccati
We study the large-depth behavior of residual networks whose weights are correlated across layers at initialization. Our results confirm and extend a conjecture of Marion et al. [2…
math.PR2026
Functional Scaling Limits of Interpolated Correlated Random Walks in Hölder Topology
Felix Benning, Ivan Nourdin
We prove functional scaling limits for interpolated random walks whose increments are functions of a stationary Gaussian sequence. In this setting, the classical Dobrushin-Major-Ta…
math.PR2025
Measure Theory of Conditionally Independent Random Function Evaluation
Felix Benning
In sequential design strategies, common in geostatistics and Bayesian optimization, the selection of a new observation point of a random function is informed…