AINeutralarXiv – CS AI · 18h ago6/10
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How Deep Are Deep GPs, Really? A Sharp Threshold and a Non-Gaussian Limit for Compositional GPs
Researchers establish a sharp bandwidth threshold for deep Gaussian processes, proving that below this threshold compositional GPs converge to non-Gaussian, non-degenerate limit distributions rather than degenerating to constant functions. This advances theoretical understanding of deep Bayesian models and their limiting behavior as network depth increases.