Developments in finite Phan theory

An Overview of the New Feature Selection Methods in Finite Mixture of Regression Models

Variable (feature) selection has attracted much attention in contemporary statistical learning and recent scientific research. This is mainly due to the rapid advancement in modern technology that allows scientists to collect data of unprecedented size and complexity. One type of statistical problem in such applications is concerned with modeling an output variable as a function of a sma...

J an 2 00 9 THE SPHERICITY OF THE PHAN GEOMETRIES OF TYPE B n AND C n AND THE PHAN - TYPE THEOREM OF TYPE F 4

We adapt and refine the methods developed in [Abr96] and [DGM] in order to establish the sphericity of the Phan geometries defined in [BGHS07] (type Bn) and [GHS03] (type Cn), and their generalizations. As applications of this sphericity we determine the topological finiteness length of the unitary form of the group Sp 2n (F q2 [t, t]) (Theorem 7.1) and give the first published proof of the Pha...

Decidability and Tameness in the Theory of Finite Semigroups

Remarks on Automorphisms of Subfactors

We establish certain properties of automorphisms on an inclusion of AFD type II, factors with finite index and finite depth and discuss their applications toithe classification problem of AFD type III subfactors, including a different proof of a result on subfactors with principal graph Dn .

Recent Developments in Discrete Event Systems

This article is a brief exposure of the process approach to a newly emerging area called "discrete event systems" in control theory and summarizes some of the recent developments in this area. Discrete event systems is an area of research that is developing within the interstices of computer, control and communication sciences. The basic direction of research addresses issues in the analysis an...