Spring Seminar Series - April 14, 2005
University of Minnesota
School of Statistics
College of Liberal Arts
Mathematical Foundations of Recurrence Quantification Analysis
Charles L. Webber
Department of Physiology
Loyola University Chicago Stritch School of Medicine
Thursday, April 14, 2005
3:30 PM, 115
Ford Hall
Minneapolis, East Bank Campus
Social at 3:00 PM, 300 Ford Hall
Abstract
RECURRENCE
QUANTIFICATION ANALYSIS (RQA) is a powerful analytical tool developed
over the last decade for the study of nonlinear dynamical systems. RQA
is the necessary extension of recurrence plot analysis (RPA), a more
qualitative tool. Since RQA methodology is independent of limiting
constraints such as data set size, data stationarity, and assumptions
regarding statistical distributions of data, RQA seems ideally suited
for physiological systems characterized by non-homeostatic transients,
state changes, and noise from within and without the organism or
process, leading to the more accurate prediction of heart attack and
non-linear dynamic processes in disease states. In addition to use in
physiology and medicine, RQA has been successfully applied to a broad
range of research problems identifying authorship of disputed
documents, recognizing patterns in serial crime, detecting economic
trends, and isolating meaningful patterns in movement and perception
that have been obscured by noise.
Dr. Webber will also offer consultations to students and faculty on
specific applications of RQA in research on Friday morning, April 15 in
Ford Hall.
Joint seminar with School of Kinesiology