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Oxley, Mark E. , Professor of Mathematics
Dept of Mathematics and Statistics
 
 
Duty Phone: (937) 255-3636 Ext: 4515
Email: Mark Oxley
 
Education:
  • BS, Mathematics, Cumberland College, Williamsburg KY, 1978
  • MS, Applied Mathematics, Purdue University, West Lafayette IN, 1980
  • PhD, Mathematics. North Carolina State University, Raleigh, NC 1987

 
Research Interests:

PARTIAL DIFFERENTIAL EQUATIONS - free and moving boundary value problems, finite-time extinction problems, differential equations in Banach spaces, reaction-diffusion equations 

APPLIED ANALYSIS - functional analysis, optimization, wavelet analysis, category theory

INFORMATION FUSION - classifier fusion, sensor fusion, evaluation of fusion techniques, receiver operating characteristic curves and manifolds

 

 

 

 

 
Expertise:
APPLIED MATHEMATICS
ARTIFICIAL NEURAL NETWORKS
CLASSIFIER FUSION
FINITE TIME EXTINCTION PROBLEMS
FREE AND MOVING BOUNDARY VALUE PROBLEMS
FUNCTIONAL ANALYSIS
INFORMATION FUSION
NONLINEAR DIFFUSION
OPTIMIZATION
WAVELET ANALYSIS
RECEIVER OPERATING CHARACTERISTIC CURVES AND MANIFOLDS
REACTION DIFFUSION EQUATIONS
CATEGORY THEORY
 
Publications:

REFEREED JOURNAL ARTICLES

2011

Kharoufeh, J.P., Cox, S.M. and M.E. Oxley (2011). Reliability of manufacturing equipment in complex environments. Annals of Operations Research, appear electronically 18 January 2011, to appear in print.

Christine M. Schubert, Steven N. Thorsen, and Mark E. Oxley, The ROC Manifold for Classi.cation Systems, Pattern Recognition, vol. 44, issue 2, pp. 350-362, February 2011.

2010

M. Brent Reynolds, Kenneth M. Hopkinson, Mark E. Oxley, and Barry E. Mullins, Service Oriented Infrastructure Resource Provisioning Optimization, IEEE Transactions on Service Computing, submitted May 2010.

David R. Parker, Steven C. Gustafson, Mark E. Oxley, and Timothy D. Ross, Development of a Bayesian Framework for Determining Uncertainty in Receiver Operating Characteristic Curve Estimates, IEEE Transactions on Knowledge and Data Engineering, vol. 22, no. 1, pp. 31-45, January 2010.

2009

Bobby D. Birrer, Richard A. Raines, Rusty O. Baldwin, Mark E. Oxley, and Steven K. Rogers, Using Qualia and Hierarchical Models in Malware Detection, Journal of Information Assurance and Security (special issue on Detection and Prevention of Attacks and Malware), vol. 4, issue 3, pp. 247-255, June 2009.

2008

Nathan J. Leap, Paul P. Clemens, Kenneth W. Bauer, and Mark E. Oxley, An Investigation of the E¤ects of Correlation and Autocorrelation on Classi.er Fusion and Optimal Classi.er Ensembles, International Journal of General Systems Intelligent Systems Design, vol. 37, no. 4, pp. 475-498, August 2008.

2007

Marcus L. Roberts, Michael A. Temple, Rick A. Raines, Robert F. Mills and Mark E. Oxley, Communication Waveform Design Using an Adaptive Spectrally Modulated, Spectrally Encoded (SMSE) Framework, IEEE Journal on Selected Topics in Signal Processing, vol. 1, no. 1, pp. 203-213, June 2007.

Adam MacDonald, Stephen Cain, Mark Oxley, Binary Weighted Averaging of an Ensemble of Coherently Collected Image Frames, IEEE Transactions on Image Processing, vol. 16, issue 4, pp. 1085-1100, April 2007. J

on E. Luminati, Todd B. Hale, Michael A. Temple, Michael J. Havrilla and Mark E. Oxley, Doppler Aliasing Reduction in SAR Imagery using Stepped-frequency Waveforms, IEEE Transactions on Aerospace and Electronic Systems, vol. 43, issue 1, pp. 163-175, January 2007.

2006

Steven N. Thorsen and Mark E. Oxley, A Description of Competing Fusion Systems, International Journal of Information Fusion, vol. 7, pp. 347-360, December 2006. (appeared electronically December 2005)

Thomas C. Clutz, KennethW. Bauer, Jr. and Mark E. Oxley, Fault Detection Subsystem Optimization, Journal of Operations and Logistics, vol. 1, issue 1, January 2006.

2005

Jon E. Luminati, Todd B. Hale, Michael A. Temple, Michael J. Havrilla, Mark E. Oxley, "Cross-Range Aliasing Reduction in SAR Imagery using Stepped-Frequency Waveforms", IEEE Transactions on Aerospace and Electronic Systems, to appear 2005.

2004

Samuel A. Wright, Kenneth W. Bauer, Jr., Mark E. Oxley, "The covalidation of dissimilarly structured strategic airlift models", Mathematical and Computer Modeling, Vol. 39, No. 6-8, pp. 677-696, 2004.

Jon E. Luminati, Todd. B. Hale, Michael A. Temple, Michael J. Havrilla, Mark E. Oxley, "Doppler aliasing artifact filtering in SAR imagery using randomised stepped-frequency waveforms", Electronics Letters, Vol. 40, Issue 22, pp. 1447 - 1448, October 2004.

2003

Raymond C. Maple, Paul I. King, Mark E. Oxley, "Adaptive Harmonic Balance Solutions to Euler's Equation", AIAA Journal, Vol. 41, No. 9, pp. 1703-1714, September 2003.

Todd B. Hale, Michael A. Temple, Michael C. Wicks, John F. Raquet, Mark E. Oxley, "Localized Three-Dimensional Adaptive Spatial-Temporal Processing for Airborne Radar", IEE Proceedings of Radar Sonar Navigation, Vol. 150, No. 1, pp. 18-22, February 2003.

2002

Stephen G. Alsing, Kenneth W. Bauer, Jr., Mark E. Oxley, "Convergence for Receiver Operating Characteristic Curves and the Performance of Neural Networks", Smart Engineering System Design, Vol. 4, No. 2, pp. 133-145, 2002.

Todd B. Hale, Michael A. Temple, Michael C. Wicks, Mark E. Oxley, "Performance characterization of a Hybrid STAP Architecture Incorporating Elevation Interferometry", IEE Proceedings - Part F: Radar, Sonar and Navigation, vol. 149, no. 2, pp. 77-82, April 2002.

2001

Jon M. Anderson, Michael A. Temple, Mark E. Oxley, "Nonlinear Suppression of Range Ambiguities in Pulse-Diverse Radar", IEE Electronic Letters, Vol. 37, No. 20, pp. 1252-1253, September 2001.

Martha A. Carter and Mark E. Oxley, Erratum: "Evaluating the Vapnik-Chervonenkis Dimension of Artificial Neural Networks Using the Poincare' Polynomial, Neural Networks, Vol. 12, pp. 403-408", Neural Networks, Vol. 14, pp. 1469-1470, 2001.

2000

Villars, P., K. Brandenburg, M. Berndt, S. LeClair, A. Jackson, Y.-H. Pao, B. Igelnik, M. Oxley, B. Bakshi, P. Chen, S. Iwata, "Interplay of large materials databases, semi-empirical methods, neuro-computing and first principle calculations for ternary compound former/nonformer prediction", Engineering Applications of Artificial Intelligence, Vol. 13, pp. 497-505, 2000.

Claudia V. Kropas-Hughes, Mark E. Oxley, Steven K. Rogers, and Matthew Kabrisky, "Autoassociative-Heteroassociative Neural Networks", Engineering Applications of Artificial Intelligence, Vol. 13, pp. 603-609, 2000.

Claudia V. Kropas-Hughes, Steven K. Rogers, Mark E. Oxley and Matthew Kabrisky, "Backpropagation of an Image Similarity Metric for Autoassociative Neural Networks", Pattern Analysis & Applications, Vol. 3, pp. 31-38, 2000.

1999

J.G. Keller, Steven K. Rogers, Matthew Kabrisky and Mark E. Oxley, "Object Recognition Based on Human Saccadic Behavior", Pattern Analysis & Applications, Vol. 2, pp. 251-263, 1999.

Dennis W. Quinn, Mark E. Oxley and Donald C. Vosika, "The Boundary Element Method Applied to Moving Free Boundary Problem", International Journal for Numerical Methods in Engineering, Vol. 46, pp. 1335-1346, 1999.

Martha A. Carter and Mark E. Oxley, "Evaluating the Vapnik-Chervonenkis Dimension of a Set of Artificial Neural Networks using the Poincar'e Polynomial", Journal of Neural Networks, Vol. 12, pp. 403-408, 1999.

1998

Randy P. Broussard, Steven K. Rogers, Mark E. Oxley and Greg L. Tarr, "Physiologically Motivated Image Fusion for Object Detection using a Pulse Coupled Neural Network", Journal of Neural Networks, Vol. 10, No. 3, pp. 554-563, 1998. 1998

1997

Alan V. Lair and Mark E. Oxley, "A Necessary and Sufficient Condition for Global Existence for a Degenerate Parabolic Boundary Value Problem", Journal of Mathematical Analysis and Applications, Vol. 221, pp. 338-348, 1998. 1997

Thomas F. Rathbun, Steven K. Rogers, Martin P. DeSimio and Mark E. Oxley, "MLP Iterative Construction Algorithm", NeuroComputing, Vol. 7, pp. 195-216, 1997.

1996

Charles. A. Bleckmann, Mark E. Oxley, E. J. Wilson, K. W. Hayes and N. L. Hercyk, "Land Treatment of Produced Oily Sand: Field Results", Journal of Waste Management and Research, Vol. 15, pp. 223-237, 1997. 1996

Alan V. Lair and Mark E. Oxley, "Anisotropic Nonlinear Diffusion with Absorption: Existence and Extinction", Journal of Mathematical and Mathematical Sciences, Vol. 19, No. 3, pp. 427-434, 1996.

T. J. Burns, Steven K. Rogers, Mark E. Oxley and Dennis W. Ruck, "A Non-Homogeneous Wavelet Multiresolution Analysis for Spatio-temporal Signals", IEEE Transactions on Aerospace and Electronic Systems, Vol. 32, No. 2, pp. 628-649, April 1996.

1995

X.-G. Xia, Bruce. W. Suter, and Mark E. Oxley, "Malvar Wavelets with Asymmetrically Overlapped Windows", IEEE Transactions on Signal Processing, Vol. 44, No. 3, pp. 723-728, March 1996. 1995

Steven K. Rogers, Matthew Kabrisky, Dennis W. Ruck and Mark E. Oxley, "Neural Networks for Fighting Crime", Chapter in Computational Intelligence Imitating Life, ed. Jacek M. Zuranda, IEEE Press, pp. 406-415. 1995.

Steven K. Rogers, John M. Colombi, Curtis E. Martin, James C. Gainey, Kenneth H. Fielding, Thomas. J. Burns, Dennis. W. Ruck, Matthew Kabrisky and Mark E. Oxley, "Neural Networks for Automatic Target Recognition", Journal of Neural Networks, Vol. 8, No. 7/8 (Special Issue), pp. 1153-1184, 1995.

X.-G. Xia, Bruce. W. Suter, and Mark E. Oxley, "On Necessary and Sufficient Conditions for Perfect Reconstruction Multidimensional Delay Chain Systems", IEEE Transactions on Signal Processing, Vol. 43, No. 6, pp. 1515-1519, June 1995.

1994

Bruce. W. Suter and Mark E. Oxley, "Getting Around the Balian-Low Theorem Using Generalized Malvar Wavelets", in L. Puccio, L. Montefusco, and C. Chui, editors., Wavelets: Theory, Algorithms, and Applications, San Diego, California: Academic Press, (invited chapter), pp. 295-310, 1994.

Mark N. Goltz and Mark E. Oxley, "An Analytical Solution to Equations Describing Rate-Limited Soil Vapor Extraction of Contaminants in the Vadose Zone", Water Resources Research, Vol. 30, No. 10, pp. 2691-2698, October 1994.

 
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