3 accepted papers
Yule-Simon processes are one of the most commonly occurring processes in Nature. These processes generate power laws using a preferential attachment mechanism which can describe a variety of data distributions such as word frequencies, scientific citations, journal publications, income, node connect…
Yule-Simon processes are preferential attachment processes that can be represented as urn processes where balls are added to a growing number of urns and where a new ball is placed in an urn with probability that is proportional to the number of balls in the urn. In this paper, we consider Yule-Simo…
We address the learning problem for infinite state Hidden Markov Models (HMMs) with preferential attachment dynamics. Preferential attachment describes a “rich get richer” process causing the HMM self transition probabilities to be proportional to the number of previous self transitions. Furthermore…