kTULA achieves a non-asymptotic KL convergence of order lambda^(2-epsilon) for non-log-concave targets with super-linear log-gradients under a Log-Sobolev inequality, improving prior order-lambda KL bounds.
Towards a theory of non-log-concave sampling: first-order stationarity guarantees for Langevin monte carlo
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kTULA: A Langevin sampling algorithm with improved KL bounds under super-linear log-gradients
kTULA achieves a non-asymptotic KL convergence of order lambda^(2-epsilon) for non-log-concave targets with super-linear log-gradients under a Log-Sobolev inequality, improving prior order-lambda KL bounds.