 Thesis
Authors: Dayanik, Aynur (2006)  Text mining concerns the automated analysis of textual data to store, retrieve, organize and extract useful information from textual data. Text mining systems usually rely on document collections or training data prepared for a particular application. However, in practice, external knowledge is also available in external databases, reference books, web pages and many other sources. This thesis concerns the use of external knowledge for text mining to improve the performance of text mining systems.
First we focus on using domain knowledge for clustering and text retrieval for bioin¬formatics. We describe a method for clustering biological data by exploiting the interlinked structure of biological data. By constructing a network of biological sequences, structures and literature wit...

 Thesis
Authors: Duncan, John Francis Robert (2006)  We introduce the notion of super vertex operator algebra with enhanced conformal structure, which is a refinement of the notion of super vertex operator algebra, and we present applications of this notion to three sporadic simple groups: the largest sporadic group of Conway, the sporadic group of Suzuki, and the sporadic group of Rudvalis.
For the Conway group we construct what may be considered a natural superanalogue of the Moonshine Module, where the role of the Virasoro algebra is now played by the N = 1 Virasoro superalgebra, and we find that the full group of automorphisms is Conway's largest sporadic group. We also verify a uniqueness result for this object, which is directly analogous to that conjectured to hold for the Moonshine Module.
Replacing the N = 1 Virasoro super...

 Thesis
Authors: Chen, Pei (2006)  Medical image reconstruction and medical simulation are active research areas in the field of medical image processing and have received a great deal of attention over the past ten years. Medical image reconstruction allows a physician to visualize the interior organs and tissues of patient 's sbody in a nondestructive or minimally invasive way for improved diagnosis and better treatment selection. Medical simulation can model the biochemical nature, metabolic characteristics, and geometric arrangement of human organs such that the change in these properties can be studied and predicted when the environmental parameters are altered. This dissertation covers two distinct but related areas of work: 1) a maximum a posterior (MAP) tomosynthetic reconstruction for Xray imaging, and 2) r...

 Thesis
Authors: Velasquez, Maria Elena (2006)  The aim of this thesis is to present an overview of the Fourier transform, including the continuous Fourier transform, the l2(Z) transform (Fourier series), the discrete Fourier transform, and the windowed Fourier transform. The shortcomings of these has led to the recently discovered wavelet transform, which has corresponding continuous and discrete versions. I present the theory behind these wavelet transforms, and present some of their relevant applications. Multiresolution Analysis (MRA) will be highlighted as a tool of great potential utility in other fields such as Physics, Biology, Geology, Computer Science, Medicine, and Engineering. I conclude this thesis with a discussion of three "signature" recognition applications of the discrete wavelet transform MRA to gammaray spect...

 Thesis
Authors: Jiang, Yongbin (2006)  In algebraic number theory, the study of Galois groups is one of the subjects mathematicians are most interested in. A fruitful set of results have been obtained in this field. Class field theory and some of its consequent theorems are certainly an important part of these results. In [1], E.Artin and Tate used the notion of class formations to reinterpret class field theory and proposed another interesting object, which is called the Weil group and has a strong relation with class formations, for us to study. Recently, research shows that Weil groups deserve more investigation and they behave better than the classical Galois groups in some cases.
Lichtenbaum's paper [11] showed us evidence for the above mentioned opinion. In his paper, Lichtenbaum gave the definition of Weilkale t...

 Thesis
Authors: Zhang, Yuting (2006)  Streaming multimedia applications such as live webcasts and interactive distance learning require realtime constraints for data capture and transmission in keeping with enduser QoS requirements. Meanwhile, they can also tolerate some packets being discarded or serviced late, as long as the consecutive number of such losses is limited. Likewise, other soft realtime applications, such as data generation applications in sensor networks and in embedded systems, also have similar delay and loss constraints.
To deal with the above classes of applications, this thesis presents windowconstrained resource management models and polices to guarantee a fraction of their required service in every finite time window. For the single server case, the Virtual Deadline Scheduling (VDS) algorithm...

 Thesis
Authors: Lee, Yangsoo (2006)  Centrifuges are used in geotechnical earthquake engineering to simulate complicated phenomena such as nonlinear soilstructure interaction and liquefaction induced by earthquakes. Cost efficient alternatives to large scale testing, centrifuge modeling has become widely accepted to analyze experimentally all kinds of geotechnical problems.
This thesis explores the use of wireless technologies to improve data transfer and control remotely data acquisition systems of centrifuges. These improvements greatly reduce electrical noises and increase the highfrequency performance of data acquisition. This thesis also contributes to the introduction of metadata for documenting the experimental results and processes of centrifuge testing.
The first part of the research work consisted of rea...

 Thesis
Authors: Silberstein, Rebecca Lynn Braynard (2006)  The scenario of wireless devices deployed in an ad hoc network is a compelling one. For the system to support its assigned tasks, nodes must cooperate to forward data packets through the network. The act of forwarding, however, is directly linked to node lifetime. The more a node forwards data packets, the sooner it depletes its battery through use of its high energyconsuming radio. Once forwarding nodes deplete their batteries, the network may partition and fail to provide its designated services. To reduce the burden on nodes maintaining network connectivity, we propose to balance energy consumption among all participating networked nodes, so they all fail at approximately the same time. We do this through our Medium Access Control (MAC) layer protocol, SEESAW, which offloads com...

 Thesis
Authors: Gouraige, Rony (2006)  Two elements in a finitedimensional central simple algebra are said to be zequivalent if the corresponding centralizers are conjugate. We determine in this thesis the invariants which characterize zequivalence.

 Thesis
Authors: Desai, Angela (2006)  In this paper we discuss subsystem and coding results in Zd symbolic dynamics for d > 1. We prove that any Zd shift of finite type with positive topological entropy has a family of subsystems of finite type whose entropies are dense in the interval from zero to the entropy of the original shift. We show a similar result for Zd sofic shifts, and also show every Zd sofic shift can be covered by a Zd shift of finite type arbitrarily close in entropy. We also show that if a Z2 shift of finite type with entropy greater than log N satisfies a certain mixing condition, then it must factor onto the full Nshift.
