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arXiv research

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1 result for “log-Polyak-Lojasiewicz”

Poincaré Inequality for Local Log-Polyak-Lojasiewicz Measures : Non-asymptotic Analysis in Low-temperature Regimecs.LG

Study of non-convex potential functions in deep learning with Poincaré inequality.

problem Understanding convergence of stochastic dynamics in non-convex potential landscapes.

method Introduced log-Polyak-Lojasiewicz (log-PL) measures and analyzed their convergence properties.

result Langevin dynamics converges at a rate of

\tilde{\mathcal{O}}(1/ε)

for sufficiently small

ε

.

Langevin dynamics log-Polyak-Lojasiewicz Poincaré inequality deep learning non-convex optimization

2025-02-08abs ↗pdf ↗