Associate Professor of Systems Science Member, IEEE Ph.D. 1988 University of Texas, Austin A.B. 1977 Princeton University
|Information Theory||Tues. and Thurs. 4:00-5:50 PM||SySc 545/645 & ECE 563/663|
My group's research is directed at exploiting deterministic aspects of complex signals. The research is motivated by dynamical systems work in recent decades that has shown many phenomena to be chaotic in a strict sense. Using synthetic signals, we have tested the performance of our techniques on detection and forecasting tasks. For detection, one asks "How much noise does it take to mask a signal?". Forecasting consists of guessing, on the basis of past measurements, what values of future measurements are likely. We have examined measured data from various sources. Recently we have worked on image compression, face recognition, and ECG classification. While we can outperform linear models, the tests indicate that there is still room for improvement.
A. M. Fraser and H. L. Swinney, "Independent coordinates for strange attractors from mutual information," Phys. Rev. A, Vol 33:1134--1140, Feb. 1986.
A. M. Fraser, "Reconstructing Attractors from Scalar Time Series: A Comparison of Singular System and Redundancy Criteria," Physica D, Vol. D34, 1989, pp. 391-404.
A. M. Fraser, "Information and Entropy in Strange Attractors," IEEE Transactions on Information Theory, Vol. 35, No. 2, March 1989, pp. 245-262.
A. M. Fraser and A. Dimitriadis, "Forecasting Probability Densities by Using Hidden Markov Models with Mixed States," in Time Series Prediction: Forecasting the Future and Understanding the Past, edited by A. Weigend and N. Gershenfeld, Addison Wesley, 1993. (PS) (LaTeX)
A. M. Fraser, "Chaos and Detection," Physical Review E, Vol. 53, No, 5, May 1996, pp. 4514-4523. (download)
J. McNames, A. Fraser, "Obstructive Sleep Apnea Classification Based on Spectrogram Patterns in the Electrocardiogram," In Computers in Cardiology 2000, Vol. 27, 749-752, Cambridge, MA, 2000. (PDF)
A.M. Fraser, N.W. Hengartner, K.R. Vixie, and B.W. Wohlberg, "Classification modulo invariance, with application to face recognition," Journal of Computational and Graphical Statistics, vol. 12, no. 4, pp. 829--852, Dec 2003. ( details)
Friends, students, and collaborators:
Kevin Vixie's Data Driven Modeling and Analysis group at LANL