Mark Oxley is a Professor of Mathematics in the Department of Mathematics and Statistics, Graduate School of Engineering and Management, Air Force Institute of Technology located on Wright-Patterson Air Force Base, Ohio. Dr. Oxley earned the B.S. degree in mathematics from Cumberland College in 1978 (renamed to the University of the Cumberlands in 2005), the M.S. degree in applied mathematics from Purdue University in 1980, and the Ph.D. degree in mathematics from North Carolina State University in 1987. He joined the faculty at AFIT in July 1987. He has advised several M.S. and Ph.D. student research in artificial neural network theory, applied mathematics and information fusion. He has received research funding from AFOSR, AFRL, ACC, DARPA and NASIC. He has published over 70 research journal articles in mathematics, applied mathematics, and engineering. His research began in nonlinear partial differential equations, and has developed other areas of expertise in pattern recognition, signal and image processing, category theory, information fusion, and Receiver Operating Characteristics (ROC) curve and manifold analysis.
Evaluating the Vapnik-Chervonenkis dimension of artificial neural networks using the Poincare' polynomial