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math.FA2026
The role of parameter Jacobians in the stability of network outputs
Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +2
In the framework of network dynamics, learning models, and neural tangent kernels (NTK), we show that the corresponding linearized dynamics leads naturally to a semigroup formulati…
math.FA2024
On the metric of the jet bundle and similarity of Cowen-Douglas operators
Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1
The study of Cowen-Douglas operators not only involves traditional operator-theoretic tools but also concepts and results from complex geometry on holomorphic vector bundles. We ma…