Topic models are a popular and common clustering approach for textual data, which
provides promising applications in topic discoveries. An extended topic model is resented in …

The ascendant theme of this thesis is the investigation of asymptotic properties and
derivation of limit theorems for univariate clustering criteria when we have a sequence of …

Asymptotics of a Clustering Criterion for Smooth Distributions Vladimir Pozdnyakov University of
Connecticut based on joint work Page 1 Asymptotics of a Clustering Criterion for Smooth …

We develop a clustering framework for observations from a population with a smooth
distribution function and derive its asymptotic properties under a general setup. We propose …

We investigate the utility in employing asymptotic results related to a clustering criterion to
the problem of testing for the presence of jumps in financial models. We consider the Jump …