We propose and analyze a model for optimizing the prefetching of documents, in situation where connection between documents is discovered progressively. A random surfer moves along edges tree representing possible sequences which known to controller only up depth d. quantity k can be prefetched two movements. The question determine nodes should so as minimize probability moving node not prefetc...

Random forests are a combination of tree predictors such that each tree depends on the values of a random vector sampled independently and with the same distribution for all trees in the forest. The generalization error for forests converges a.s. to a limit as the number of trees in the forest becomes large. The generalization error of a forest of tree classifiers depends on the strength of the...

We show that a random labeled n-vertex graph almost surely contains isomorphic copies of almost all labeled n-vertex trees, in two senses. In the first sense, the probability of each edge occurring in the graph diminishes as n increases, and the set of trees referred to as "almost all" depends on the random graph. In the other sense, the probability of an edge occurring is fixed, and the releva...

We study the broadcasting problem when underlying tree is a random recursive tree. The root of has bit value assigned. Every other vertex same as its parent with probability 1?q and opposite q, where q?[0,1]. consists in estimating upon observing unlabeled tree, together associated every vertex. In more difficult version problem, observed but only values leaves are observed. When uniform both v...