Second-Order Smooth Planning with Optimal-Transport Bellman Smoothing
Planning with a generative model aims to estimate the value of a state using as few simulator calls as possible. SmoothCruiser achieves problem-independent complexity $\widetilde O(\varepsilon^{-4})$ by exploiting the smoothness of the entropy-regularized Bellman backup, but its estimator is only first-order. We show that the sample-complexity exponent of SmoothCruiser-type planners is governed by the order $β$ of the local Taylor remainder, giving oracle complexity $\widetilde O(\varepsilon^{-(2+2/(β-1))})$: the first-order case $β=2$ recovers SmoothCruiser, while a second-order/cubic remainder $β=3$ yields $\widetilde O(\varepsilon^{-3})$. We reach this regime with an optimal-transport-...
| Authors | Tuan Dam |
|---|---|
| Primary category | cs.LG |
| Published | 6 September 2026 |
| Last updated at source | 6 September 2026 |
Silytics shows public metadata from arXiv and links to the original. Information may be incomplete or out of date. Last refreshed 17 October 2026. Licenses and terms of the original apply to the work itself. Not financial, legal or professional advice.