Reviews: Single-Agent Policy Tree Search With Guarantees

The paper presents two planning algorithms based on tree search. The novelty of these algorithms is the use of a policy based criterion instead of a standard heuristic to guide the search. The first algorithm (LevinTS) uses a cost function d(n)/\pi(n) which ensures nodes are expanded in a best-first order. This allows the authors to derive an upper bound to the number of expansions performed before to reach a target node. The second algorithm (LubyTS) is a randomized algorithm based on the sampling of trajectories.