AINeutralarXiv – CS AI · 18h ago6/10
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Reachability and asymptotics of Gaussian Transformer dynamics
Researchers have formulated Transformer data propagation as a nonlinear control system and proven that Gaussian distributions remain Gaussian through the network's layers. This reduces infinite-dimensional dynamics to finite-dimensional equations governing mean and covariance evolution, connecting Transformer expressiveness to classical control theory and revealing conditions for stability or divergence.