Abstract Mechanics

Abstract: a Mean-field Statistical Mechanics Model for Regulation Networks

A MEAN-FIELD STATISTICAL MECHANICS MODEL FOR REGULATION NETWORKS EDUARDO JORDAO NEVES Let G = {1, . . . , n} represent the set of biochemical components interacting in a regulation network and denote by xi(t) ∈ R the density of component i at time t. In its simpler version the Interacting Markov Chains (IMC) model approach associates Ni two-state Markov chains to each component i. These N = ∑n ...

Statistical Mechanics of Semi-Supervised Clustering in Sparse Graphs (Abstract)

We develop a statistical mechanics based approach for studying semi–supervised clustering in graphs in the presence of must and cannot links. We focus on bi– cluster graphs, and study the impact of the semi–supervision by varying the constraint density and overlap between the clusters. Recent results for unsupervised clustering in sparse graphs indicate that there is a critical ratio of within–...

abstract

ABSTRACT

Abstract

Abstract