For a continuum-depth ResNet model with entropic regularization, an open dense set of initial feature-label distributions admits a unique stable minimizer and a local Polyak-Lojasiewicz inequality near it.
Stable solutions in potential mean field game systems.NoDEA Nonlinear Differential Equations Appl., 25(1):Paper No
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Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs
For a continuum-depth ResNet model with entropic regularization, an open dense set of initial feature-label distributions admits a unique stable minimizer and a local Polyak-Lojasiewicz inequality near it.