Every smooth function on a contractible complete Riemannian manifold satisfying the semiglobal Polyak-Lojasiewicz inequality can be written as f* + ||phi||^2 for a submersion phi, extending the Boumal-Criscitiello-Rebjock theorem.
Small-covariancenoise-to-statestabilityofstochasticsystemsand its applications to stochastic gradient dynamics
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Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins
Every smooth function on a contractible complete Riemannian manifold satisfying the semiglobal Polyak-Lojasiewicz inequality can be written as f* + ||phi||^2 for a submersion phi, extending the Boumal-Criscitiello-Rebjock theorem.