Digital Commons Network^™

Detecting Changes In Global Dynamics With Principal Curves And Information Theory, Sandeep Rajput

Doctoral Dissertations

Two approaches to characterize global dynamics are developed in this dissertation. In particular, the concern is with nonlinear and chaotic time series obtained from physical systems. The objective is to identify the features that adequately characterize a time series, and can consequently be used for fault diagnosis and process monitoring, and for improved control.

This study has two parts. The first part is concerned with obtaining a skeletal description of the data using Cluster-linked principal curves (CLPC). A CLPC is a non-parametric hypercurve that passes through the center of the data cloud, and is obtained through the iterative Expectation-Maximization (E-M) …

Text Manipulation Judgment Accuracy: An Exploratory Study, Randy S. Wardak

Theses and Dissertations

Deception aims to affect a decision-making process in a way that somehow benefits the deceiver. More knowledge is desired in the area of purely text-based scenarios. Thirty-seven graduate students at the Air Force Institute of Technology participated in an experiment in order to gain an initial understanding of how people determine whether text has been manipulated, and to identify specific areas that may be more closely investigated in future research. Excerpts were drawn from editions of a current-events newsletter that the participants receive on a weekly basis as part of their enrollment in the graduate program. Some of the excerpts …

The Dimension Of The Supreme Court, Paul H. Edelman

Vanderbilt Law School Faculty Publications

In a paper published in the Proceedings of the National Academy of Sciences, Lawrence Sirovich introduced two novel mathematical techniques to study patterns in recent Supreme Court decisions. One of these methods, information theory, has never been applied previously. The other method, singular value decomposition, is closely related to other methods that have previously been employed.

In this paper I give an explication of these two methods and evaluate their use in the context of understanding the Supreme Court. I conclude that information theory holds some promise for furthering our understanding but singular value decomposition, as applied by Sirovich, is …