Probabilistic analysis of some (un)directed animals

A Probabilistic Analysis of Some Tree Algorithms

INRIA In this paper a general class of tree algorithms is analyzed. It is shown that, by using an appropriate probabilistic representation of the quantities of interest, the asymptotic behavior of these algorithms can be obtained quite easily without resorting to the usual complex analysis techniques. This approach gives a unified probabilistic treatment of these questions. It simplifies and ex...

A Probabilistic Analysis of Some Tree Algorithms

Abstract. In this paper a general class of tree algorithms is analyzed. It is shown that, by using an appropriate probabilistic representation of the quantities of interest, the asymptotic behavior of these algorithms can be obtained quite easily without resorting to complex analysis techniques as it is usually the case. This approach gives a unified probabilistic treatment of these questions. ...

Probabilistic analysis of column-convex and directed diagonally-convex animals

Monte Carlo Integration in Discrete Undirected Probabilistic Models

This thesis contains the author’s work in and contributions to the field of Monte Carlo sampling for undirected graphical models, a class of statistical model commonly used in machine learning, computer vision, and spatial statistics; the aim is to be able to use the methodology and resultant samples to estimate integrals of functions of the variables in the model. Over the course of the study,...

Some Optimal Designs of Undirected Double-loop Networks