This technical report describes a cute idea of how to create new policy search approaches. It directly relates to the Natural Actor-Critic methods but allows the derivation of one shot solutions. Future work may include the application to interesting problems. 1 Problem Statement In reinforcement learning, we have an agent which is in a state s and draws actions a from a policy π. Upon an actio...

We show that the naive mean-field approximation correctly predicts leading term of logarithmic lower tail probabilities for number copies a given subgraph in G(n,p) and arithmetic progressions length random subsets integers entire range densities where is viable. Our main technical result provides sufficient conditions on maximum degrees uniform hypergraph H guarantee edges, induced by binomial...

The hydrodynamic limit of a kinetic Cucker-Smale flocking model is investigated. The starting point is the model considered in [17], which in addition to free-transport of individuals and a standard Cucker-Smale alignment operator, includes Brownian noise and strong local alignment. The latter was derived in [18] as the singular limit of an alignment operator first introduced by Motsch and Tadm...

Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with decreasing one-parameter family translated subspaces is convex for given (not necessarily smooth) vector in underlying Hilbert space. In second quantisation, this infers convexity vacuum relative respect to translation parameter tunnel von Neumann algebras. This result allows us study...