C.V.
Richard Hathaway
Email: r.hathaway@ieee.org EDUCATION
BS, Applied Mathematics, University of Georgia; 6/1979
Undergraduate Honors: Graduated Magna Cum Laude, Honors Program Participant,
Phi Beta Kappa, Phi Kappa Phi, Golden Key Honor Society.
PhD, Mathematical Sciences, Rice University; 5/1983
Dissertation: Constrained Maximum-Likelihood Estimation for a Mixture of m
Univariate Normal Distributions, Advisors were John Dennis and James R. Thompson.
Graduate Course Concentration: Numerical Analysis and Statistics.
EXPERIENCE
1979-1982 Graduate Fellowship at Rice University
1981(Su) Mobil Field Research Laboratory Research Assistant
1982-1986 University of South Carolina Assistant Professor
1982-1985 (Department of Mathematics and Statistics)
1985-1986 (Department of Statistics)
1985-1986 (Department of Computer Science: Adjunct)
1986-1990 Georgia Southern College Assistant Professor of Mathematics.
1990(Sp) University of West Florida Visiting Research Professor of Computer Science
1990-1995 Georgia Southern University Associate Professor of Mathematics.
1995- 2010 Georgia Southern University Professor of Mathematics. (Retiring 6/2010)
2005(Sp) Sabbatical Visitor to the Department of Computer Science of the University of
West Florida
COURSES TAUGHT
Statistics: Elementary Statistics (Undergraduate)
Statistics for Engineers (Undergraduate)
Statistical Computing (Graduate)
Mathematics: Business Calculus (Undergraduate)
Calculus (Undergraduate: Regular and Honors; and for Teachers)
Linear Algebra (Undergraduate)
Systems of Differential Equations (Undergraduate)
Discrete Structures for Computer Science (Undergraduate)
Probability (Undergraduate)
Mathematical Modeling (Undergraduate/Graduate)
Applied Math (Undergraduate/Graduate)
Operations Research (Undergraduate/Graduate)
Discrete Mathematics (Undergraduate)
Discrete Mathematics (Graduate for teachers)
Numerical Analysis (Graduate)
Constrained Optimization Theory (Graduate)
Numerical Optimization (Graduate)
Research Seminar (Graduate)
Computer Science: Digital Image Processing (Graduate)
INSTITUTIONAL SERVICE
Chaired Departmental Committees for: Course Development
Software Acquisition
Faculty Searches
Departmental Graduate Program
Promotion/Tenure Materials Committee
Served on Departmental Committees for: Applied Math
Math Majors
Statistics
Computer Calculus
Computing Facilities
Physical Facilities
Faculty Searches
Faculty Evaluation
Departmental Graduate Program
Applied Mathematical Sciences Center Committee
Tenure & Promotion
Post Tenure & Peer Review
Foundation Grants
Departmental Governance
Advisory Committee
Mentoring New Faculty
Recruiting (Students)
Served on College Committees for: Tenure & Promotion
Research Award
Served on University Committees for: Graduate Advisory Council (USC)
Faculty Service Committee (GSU)
PROFESSIONAL SOCIETY MEMBERSHIP
IEEE (Institute of Electrical and Electronics Engineers)
JOURNAL EDITORIAL SERVICE
1993- 1998 Associate Editor of IEEE Transactions on Fuzzy Systems
1993- 2006 Editorial Board Member of NEURAL, PARALLEL & SCIENTIFIC
COMPUTATIONS
CONFERENCE PROCEEDINGS EDITORIAL SERVICE
1995 Editor (Editors: S.K. Aityan, L.T. Grujic, R.J. Hathaway, G.S. Ladde, N. Medhin and M.
Sambandham) of the Proceedings of First International Conference on Neural, Parallel
and Scientific Computations held in Atlanta, GA, May 28-31, 1995.
REFEREE or REVIEWER for 35 Journals (and the NSF)
Statistics Journals
The Annals of Statistics
Biometrics
Communications in Statistics
The Journal of the American Statistical Association
The Journal of Multivariate Analysis
The Journal of the Royal Statistical Society
The Journal of Statistical Computation and Simulation
Computational Statistics and Data Analysis
Psychometrika
IIE Transactions on Quality and Reliability Engineering Information or Computer Science Journals
Journal of Classification
IEEE Transactions on Information Theory
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Systems, Man and Cybernetics
IEEE Transactions on Neural Networks
IEEE Transactions on Fuzzy Systems
Information Sciences
International Journal of Approximate Reasoning
International Journal of General Systems
PATTERN RECOGNITION
Journal of Intelligent and Fuzzy Systems
Fuzzy Sets and Systems
NEURAL, PARALLEL AND SCIENTIFIC COMPUTATIONS
Pattern Recognition Letters
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
SOFTWARE: PRACTICE & EXPERIENCE
Soft Computing
Computers and Mathematics with Applications
Other
The Journal of the International Association for Mathematical Geology
Medical Physics
IEEE Transactions on Biomedical Engineering
IEEE Transactions on Signal Processing
Chemometrics and Intelligent Laboratory Systems
International Journal of Production Economics
Wiley Enclyclopedia of Electrical and Electronics Engineering
Research Proposal Reviewer for the National Science Foundation
GRANT SUPPORT
1981-1982 IBM Support at Rice under John Dennis.
1982(Su) ARO Support at Rice under James R. Thompson.
1983(Su) USC University of South Carolina Summer Research Grant.
1983-1985 NSF "Mathematical Sciences Research Equipment", (Project Member),
Grant #MCS-8304981.
1984-1986 NSF "Information Retrieval from Normal Mixtures", (Co-PI with J. C.
Bezdek), Grant #IST- 8407860.
1987(Su) GSC "New Clustering Methods for Pairwise Distance Data", Faculty Research
Fellowship/Sabbatical.
1987-1988 GSC "Fast MLE Algorithms for Normal Mixture Densities" (With J.
Davenport and A. Pierce), Faculty Research Grant.
1988 GSC Faculty Development and Welfare Committee Travel Grant.
1990 GSU Faculty Development and Welfare Committee Travel Grant.
1990(Sp) GSU "Model Fitting for Mixed Data", Faculty Research
Fellowship/Sabbatical.
1992(Su) GSU "A Generalized Fuzzy Clustering Procedure", Faculty Research
Sabbatical.
1993 GSU "Editorial Service to the International Applied Mathematics and
Computer Science Community", Faculty Service Grant.
1993(Su) GSU "Computer Aided Instruction Modules for Math Modelling", Faculty
Development Sabbatical.
1994 GSU Faculty Development and Welfare Committee Travel Grant.
1994(Su) GSU "Pattern Recognition with Genetic Algorithms", Faculty Research
Sabbatical.
1994 GSU "Comprehensive Study of Vector Quantization/Prototype
Generation", Faculty Research Grant.
1996(Su) GSU "Data Fusion Methods for Pattern Recognition", Faculty Research
Sabbatical.
1998(Su) GSU "Noise-Resistant Clustering", Faculty Research Stipend.
1999 GSU Faculty Development and Welfare Committee Travel Grant.
2000(Su) GSU "Pattern Recognition for Incomplete Data Using the Optimistic
Completion Principle", Faculty Research Stipend.
2001(Su) ONR Research Support through Professor James C. Bezdek’s ONR Grant
00014-96-1-0642.
2001 GSU Faculty Development and Welfare Committee Travel Grant.
2002 GSU "Visually Assessing Cluster Validity", Faculty Research Stipend.
2005(Sp) GSU Faculty Sabbatical (Visited the Department of Computer Science at
the UWF)
PUBLICATIONS
Technical Reports
T01. Hathaway, R.J., "Conjugate Gradient and Conjugate Residual Algorithms for the Sparse Nonsymmetric Simultaneous Linear Equations Problem", Laboratory Memorandum No. 143, Mobil Field Research Laboratory, Dallas, 1981. T01.pdf
T02. Hathaway, R.J., "Constrained Maximum-Likelihood Estimation for a Mixture of m Univariate Normal Distributions", University of South Carolina Statistics Technical Report No. 92, March, 1983. T02.pdf
T03. Hathaway, R.J., "Convergence Properties of a Constrained EM Algorithm for Normal Mixtures", University of South Carolina Statistics Technical Report No. 99, August, 1984. T03.pdf
T04. Hathaway, R.J., "Consistency for a Constrained Normal Mixture Problem", University of South Carolina Statistics Technical Report No. 100, October 1984. T04.pdf
Conference Proceedings Articles
P01. Hathaway, R.J., "Constrained Maximum-Likelihood Estimation for Normal Mixtures", Computer Science and Statistics: Proceedings of the Fifteenth Symposium on the Interface, ed. James E. Gentle, North Holland Publishing Company, Amsterdam, pp.263-267, 1983. P01.pdf
P02. Hathaway, R.J., Huggins, V., and J.C. Bezdek, "A Comparison of Methods for Computing Parameter Estimates for a Mixture of Normal Distributions", Proceedings of the Fifteenth Annual Pittsburgh Conference on Modeling and Simulations , ed. E. Casetti, ISA, Research Triangle Park, NC, pp.1853-1860, 1984. P02.pdf
P03. Bezdek, J.C., Davenport, J.W., Hathaway, R.J., and T. Glynn, "A Comparison of the Fuzzy c-Means and EM Algorithms on Mixture Distributions with Different Levels of Component Overlapping", The Proceedings of the 1985 IEEE Workshop on Languages for Automation: Cognitive Aspects in Information Processing , IEEE Computer Society Press, Silver Spring, Maryland, pp.98-102, 1985. P03.pdf
P04. Bezdek, J.C., Davenport, J.W., and R.J. Hathaway, "Clustering with the Relational c-Means Algorithms using Different Measures of Pairwise Distance", Proceedings of the 1988 SPIE Technical Symposium on Optics, Electro-Optics, and Sensors, Volume 938, ed. Richard D. Juday, pp. 330-337, 1988. P04.pdf
P05. Davenport, J.W., Pierce, A. and R.J. Hathaway, "A Numerical Comparison of EM and Quasi-Newton Type Algorithms for Computing MLE's for a Mixture of Normal Distributions", Proceedings of the 20th Symposium on the Interface: Computationally Intensive Methods in Statistics, ed. E.J. Wegman, D.T. Gantz and J.J. Miller, pp. 410-415, 1988. P05.pdf
P06. Bezdek, J.C. and R.J. Hathaway, "Object and Relational c-Means Clustering Duals", Proceedings of the Third Annual IFSA (International Fuzzy Systems Association) World Congress, ed. J.C. Bezdek, pp. 242-245, 1989. P06.pdf
P07. Bezdek, J.C., Hathaway, R.J., Glynn, T., and T. Kim, "Feature Selection for Mixtures of Two Multidimensional Normal Distributions",1988 PRAMS (Pattern Recognition for Advanced Missile Systems) Conference Proceedings, GACIAC (Guidance and Control Information Analysis Center), Chicago, pp.179-205, 1989. P07.pdf
P08. Bezdek, J.C. and R.J. Hathaway, "A Note on Two Clustering Algorithms for Relational Network Data", Proceedings of the 1990 SPIE Conference on Applications of Artificial Intelligence VIII, Volume 1293, ed. Mohan M. Trivedi, pp. 268-277, 1990. P08.pdf
P09. Bezdek, J.C. and R.J. Hathaway, "Generalized Regression and Clustering", Proceedings of the 1990 International Conference on Fuzzy Logic and Neural Nets, held in Izuka, Japan, pp. 575-578, 1990. P09.pdf
P10. Bezdek, J.C. and R.J. Hathaway, "Accelerating Convergence of the Fuzzy C-Shells Clustering Algorithms", Proceedings of the 4th International Fuzzy Sets Association Congress, ed. R. Lowen and M. Roubens, Mathematics Volume, Brussels, pp. 12-15, 1991. P10.pdf
P11. Bezdek, J.C. and R.J. Hathaway, "Optimization of Fuzzy Clustering Criteria Using Genetic Algorithms", Proceedings of the First IEEE International Conference on Evolutionary Computation, Vol. 2, pp. 589-594, IEEE Press, Piscataway, 1994. P11.pdf
P12. Bezdek, J.C., Pal, N., Hathaway, R.J., and N. Karayiannis, "Some New Competitive Learning Schemes", SPIE Proceedings 2492, Applications and Science of Artificial Neural Networks, ed. S. Rogers and D. Ruck, Bellingham, WA, pp. 538-549, 1995. P12.pdf
P13. Hathaway, R.J., "Optimization of Clustering Criteria", Proceedings of the First International Conference on Neural, Parallel & Scientific Computations, Vol. 1, pp. 202-205, Dynamic Publishers Inc., USA, 1995. P13.pdf
P14. Davenport, J.W. and R.J. Hathaway, "Possibilistic c-Means Clustering for Relational Data", Proceedings of the First International Conference on Neural, Parallel & Scientific Computations, Vol. 1, pp. 139-142, Dynamic Publishers Inc., USA, 1995. P14.pdf
P15. Bezdek, J.C., Hathaway, R.J., and W. Pedrycz, "A Parametric Heterogeneous Fuzzy Data Model", Proceedings of the 1995 International Conference on Neural Networks, Vol. 1, pp. 354-358, IEEE Press, Piscataway, NJ, 1995. P15.pdf
P16. Bezdek, J.C., Hathaway, R.J., and N. Pal, "Shell Prototype Clustering Models", Proceedings of the 1995 International Conference on Neural Networks, Vol. 4, pp. 1617-1621, IEEE Press, Piscataway, NJ, 1995. P16.pdf
P17. Hathaway, R., Rogers. G., Bezdek, J., and W. Pedrycz, "Fusing Heterogeneous Fuzzy Data for Clustering," Proceedings of SPIE: Signal Processing, Sensor Fusion and Target Recognition VI, V. 3068, pp. 559-568, 1997. P17.pdf
P18. Hathaway, R.J., Rogers, G.W., and J.C. Bezdek, “Random Vector Clustering Using Fuzzy C-Means,” Proceedings of NAFIPS ‘98 (North American Fuzzy Information Processing Society), Pensacola, Florida, August 19-21, pp. 251-255, 1998. P18.pdf
P19. Hathaway, R.J., Overstreet, D.D., Hu, Y., and J.W. Davenport, “Generalized Fuzzy C-Means Clustering in the Presence of Outlying Data,” Proceedings of SPIE: Applications and Science of Computational Intelligence II, V. 3722, pp. 509-517, 1999. P19.pdf
P20. Hathaway, R.J., Overstreet, D.D., and J.C. Bezdek, "Fuzzy C-Means Clustering of Partially Missing Data Sets," in the Proceedings of SPIE: Applications and Science of Computational Intelligence III, V. 4055, pp. 159-165, 2000. P20.pdf
P21. Hathaway, R.J., Overstreet, D.D., Murphy, T.E., and J.C. Bezdek, "Relational Data Clustering with Incomplete Data," in the Proceedings of SPIE: Applications and Science of Computational Intelligence IV, V. 4390, pp. 273-280, 2001. P21.pdf
P22. Bezdek, J.C., and R.J. Hathaway, "VAT: A Tool for Visual Assessment of (Cluster) Tendency," Proc. IJCNN 2002, IEEE Press, Piscataway, N.J., pp. 2225-2230, 2002. P22.pdf
P23. Bezdek, J.C. and R.J. Hathaway, "Partitioning the Variables for Alternating Optimization of Real-Valued Scalar Fields," Proc. PRIS (Pattern Recognition in Information Systems) 2002, eds. J.M. Inesta and L. Mico, ICEIS Press, Setubul, Portugal, pp. 1-20, 2002. P23.pdf
P24. Bezdek, J.C. and R.J. Hathaway, "Visual Cluster Validity Displays for Prototype Generator Clustering Methods," Proceedings of the 12th International Conference On Fuzzy Systems, IEEE Press, Piscataway, NJ, pp. 875-880, 2003. P24.pdf
P25. Huband, J.M., Bezdek, J.C. and R.J. Hathaway, "Revised visual assessment of (cluster) tendency (reVAT)," Proceedings of the North American Fuzzy Information Processing Society (NAFIPS), IEEE, eds. S. Dick, L. Kurgan, P. Musilek, W. Pedrycz and M. Reformat, pp. 101-104, 2004. P25.pdf
P26. Bezdek, J.C. and R.J. Hathaway, "Progressive Sampling Schemes for Approximate Clustering in Very Large Data Sets," Proceedings of FUZZ-IEEE 2004, IEEE Press, Piscataway, N.J., pp. 15-22, 2004. P26.pdf
P27. Bezdek, J.C. and R.J. Hathaway, "Approximate clustering in very large normal mixtures," Proc. 2004 IPMU, Editrice Universita La Sapienza, Italy, July, pp. 1219-1226, 2004. P27.pdf
P28. Hathaway, R.J., Bezdek, J.C. and J.M. Huband, “A Kernelized Non-Euclidean Relational Fuzzy c-Means Algorithm," Proceedings of FUZZ-IEEE 2005, IEEE Press, Piscataway, N.J., pp. 414-419, 2005. P28.pdf
P29. Bezdek, J.C., Hathaway, R.J., Leckie, C. and R. Kotagiri, "Approximate Data Mining in Very Large Relational Data," Proceedings of the 17th Australasian Database Conference, eds. G. Dobbie and J. Bailey, Australian Comp. Soc. Inc., Sydney, 28(2), pp. 3-13, 2006. P29.pdf
P30. Bezdek, J.C. and R.J. Hathaway, “Elastic Control of Subsample Size in the geFFCM Algorithm,” Proceedings of the 5th International Symposium on Intelligent Manufacturing Systems, eds. H. Taskin, E. Oztemel, C. Kubat and G. Gabil, Industrial Engineering, Sakarya, Turkey, pp. 9-18, 2006. P30.pdf
P31. Hu, Y. and R.J. Hathaway, “Tendency Curves for Visual Clustering Assessment,” Proceedings of the WSEAS International Conference on Applied Computing Conference, eds. M. Demiralp, W. Mikhael, A. Caballero, N. Abatzoglou, M. Tabrizi, R. Leandre, M. Garcia-Planas and R. Choras, Mathematics and Computers in Science and Engineering. World Scientific and Engineering Academy and Society (WSEAS), Stevens Point, Wisconsin, pp. 274-279, 2008. P31.pdf
Book Chapters
B01. Hathaway, R.J., Bezdek, J.C., and W.T. Tucker, "An Improved Convergence Theory for the Fuzzy Isodata Clustering Algorithms", The Analysis of Fuzzy Information , ed. J. C. Bezdek, V-III, CRC Press, Boca Raton, pp. 123-131, 1987. B01.pdf
B02. Bezdek, J.C., Hathaway, R.J., Sabin, M.J., and W. Tucker, "Convergence Theory for Fuzzy c-Means: Counterexamples and Repairs", Fuzzy Models for Pattern Recognition: Methods that Search for Approximate Structures in Data, editors J. C. Bezdek and S. K. Pal, IEEE Press, pp.138-142, 1992. (Originally published in Volume SMC-17 of the IEEE Transactions on SMC, 1987.) B02.pdf
B03. Bezdek, J.C. and R.J. Hathaway, "Some New Ways to Cluster in Incomplete Data," in Quo Vadis Computational Intelligence?, editors P. Sincak and J. Vascak, Physica-Verlag, Heidelberg, pp. 190-209, 2000. B03.pdf
B04. Murphy, T.E., Hathaway, R.J., Bezdek, J.C., and Overstreet, D.D., “Fuzzy Clustering of Incomplete Data,” Recent Research Developments in Pattern Recognition, Volume 3, pp. 53-73, 2002. B04.pdf
B05. Bezdek. J.C. and R.J. Hathaway, "Some Notes on Alternating Optimization," Adv. in Soft Computing – AFSS 2002, eds. N.R. Pal and M. Sugeno, Springer, New York, pp. 288-300, 2002. B05.pdf
B06. Bezdek, J.C. and R.J. Hathaway, “Two New Convergence Results for Alternating Optimization,” Computational Intelligence: The Experts Speak, edited by David B. Fogel and Charles J. Robinson, IEEE Press, Piscataway, NJ, pp. 149-164, 2003. B06.pdf
B07. Hathaway, R.J., Bezdek, J.C. and J.M. Huband, "Maximin Initialization for Cluster Analysis," Progress in Pattern Recognition, Image Analysis and Applications, Lecture Notes in Computer Science, Springer Berlin, pp. 14-26, 2006. B07.pdf
Journal Articles
J01. Bezdek, J.C., Hathaway, R.J., and V. Huggins, "Parametric Estimation for Normal Mixtures", Pattern Recognition Letters 3, March, pp.79-84, 1985. J01.pdf
J02. Hathaway, R.J., "A Constrained Formulation of Maximum-Likelihood Estimation for Normal Mixture Distributions", Annals of Statistics, Vol. 13, No. 2, pp.795-800, 1985. J02.pdf
J03. Hathaway, R.J., "Another Interpretation of the EM Algorithm for Mixture Distributions", Statistics & Probability Letters, Vol. 4, pp.53-56, 1986. J03.pdf
J04. Hathaway, R.J. and J.C. Bezdek, "On the Asymptotic Properties of Fuzzy c-Means Cluster Prototypes as Estimators of Mixture Subpopulation Centers", Communications in Statistics, Vol. 15, No. 2, pp.505-513, 1986. J04.pdf
J05. Hathaway, R.J., "A Constrained EM Algorithm for Univariate Normal Mixtures", Journal of Statistical Comp. and Sim., Vol. 23, No. 3, pp.211-230, 1986. J05.pdf
J06. Hathaway, R.J. and J.C. Bezdek, "Local Convergence of the Fuzzy c-Means Algorithms", PATTERN RECOGNITION, Vol. 19, No. 6, pp.477-480, 1986. J06.pdf
J07. Bezdek, J.C., Hathaway, R.J., Howard, R.E., and C.A. Wilson, "Coordinate Descent and Clustering", Control and Cybernetics, Vol. 15, No. 2, pp.195-204, 1986. J07.pdf
J08. Bezdek, J.C. and R.J. Hathaway, "Clustering with Relational c-Means Partitions from Pairwise Distance Data", International Journal of Mathematical Modelling, Vol. 9, No. 6, pp. 435-439, 1987. J08.pdf
J09. Bezdek, J.C., Hathaway, R.J., Howard, R.E., Wilson, C.A., and M.P. Windham, "Local Convergence Analysis of a Grouped Variable Version of Coordinate Descent", Journal of Optimization Theory and Applications, Vol. 54, No. 3, pp. 471-477, 1987. J09.pdf
J10. Redner, R.A., Hathaway, R.J., and J.C. Bezdek, "Estimating the Parameters of Mixture Models with Modal Estimators", Communications in Statistics, Vol. 16, No. 9, pp. 2639-2660, 1987. J10.pdf
J11. Bezdek, J.C., Hathaway, R.J., Sabin, M.J., and W.T. Tucker, "Convergence Theory for Fuzzy c-Means: Counterexamples and Repairs", IEEE SMC, Vol. SMC-17, No. 5, pp. 873-877, 1987. J11.pdf
J12. Davenport, J.W., Bezdek, J.C., and R.J. Hathaway, "Parameter Estimation for a Mixture of Distributions using Fuzzy c-Means and Constrained Wolfe Algorithms", Computers and Mathematics with Applications, Vol. 15, No. 10, pp. 819-828, 1988. J12.pdf
J13. Hathaway, R.J. and J.C. Bezdek, "Recent Convergence Results for the Fuzzy c-Means Clustering Algorithms", Journal of Classification, Vol. 5, pp. 237-247, 1988. J13.pdf
J14. Kim, T., Bezdek, J.C., and R.J. Hathaway, "Optimality Tests for Fixed Points of the FCM Algorithms," PATTERN RECOGNITION, Vol. 21, No. 6, pp. 651-663, 1988. J14.pdf
J15. Hathaway, R.J., Davenport, J.W., and J.C. Bezdek, "Relational Duals of the c-Means Clustering Algorithms", PATTERN RECOGNITION, Vol. 22, No. 2, pp. 205-212, 1989. J15.pdf
J16. Bezdek, J.C. and R.J. Hathaway, "Dual Object-Relation Clustering Models", International Journal of General Systems, Vol. 16, No. 4, pp. 385-396, 1990. J16.pdf
J17. Hathaway, R.J. and J.C. Bezdek, "Grouped Coordinate Minimization Using Newton's Method for Inexact Minimization in One Vector Coordinate", Journal of Optimization Theory and Applications, Vol. 71, No. 3, pp. 503-516, 1991. J17.pdf
J18. Bezdek, J.C., Hathaway, R.J., and M.P. Windham, "Numerical Comparison of the RFCM and AP Algorithms for Clustering Relational Data," PATTERN RECOGNITION, Vol. 24, No. 8, pp. 783-791, 1991. J18.pdf
J19. Bezdek, J.C. and R.J. Hathaway, "Numerical Convergence and Interpretation of the Fuzzy c-Shells Clustering Algorithms", IEEE TNN, Vol. 3, No. 5, pp. 787-793, 1992. J19.pdf
J20. Hathaway, R.J. and J.C. Bezdek, "Switching Regression Models and Fuzzy Clustering", IEEE TFS, Vol. 1, No. 3, pp.195-204, 1993. J20.pdf
J21. Hathaway, R.J. and J.C. Bezdek, "NERF c-Means: Non-Euclidean Relational Fuzzy Clustering", PATTERN RECOGNITION, Vol. 27, No. 3, pp. 429-437, 1994. J21.pdf
J22. Hathaway, R.J. and J.C. Bezdek, "An Iterative Procedure for Minimizing a Generalized Sum of Squared Errors Clustering Criterion", Neural, Parallel & Scientific Computations, Vol. 2, No. 1, pp. 1-16, 1994. J22.pdf
J23. Lynch, J.W. and R.J. Hathaway, "Projectile Point Morphology: A Note on the Golden Section", Journal of Quantitative Anthropology, Vol. 4, pp. 211-220, 1994. J23.pdf
J24. Hathaway, R.J. and J.C. Bezdek, "Optimization of Clustering Criteria by Reformulation", IEEE TFS, Vol. 3, No. 2, pp.241-245, 1995. J24.pdf
J25. Bezdek, J.C., Hathaway, R.J., and N. Pal, "Norm-Induced Shell Prototypes (NISP) Clustering Models", NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, Vol. 3, No. 4, pp. 431-450, 1995. J25.pdf
J26. Karayiannis, N., Bezdek, J.C., Pal, N., Hathaway, R.J., and P. Pai, "Repairs to GLVQ: A New Family of Competitive Learning Schemes", IEEE Transactions on Neural Networks, Vol. 7, No. 5, pp. 1062-1071, 1996. J26.pdf
J27. Pal, N., Bezdek, J.C., and R.J. Hathaway, "Sequential Competitive Learning and the Fuzzy c-Means Clustering Algorithm", Neural Networks, Vol. 9, No. 5, pp. 787-796, 1996. J27.pdf
J28. Hathaway, R.J., Bezdek, J.C., and W. Pedrycz, "A Parametric Model for Fusing Heterogeneous Fuzzy Data," IEEE Transactions on Fuzzy Systems, Vol. 4, No. 3, pp. 270-281, 1996. J28.pdf
J29. Hathaway, R.J., Bezdek, J.C., and J. Davenport, "On Relational Data Versions of c-Means Algorithms," Pattern Recognition Letters, Vol. 17, pp. 607-612, 1996. J29.pdf
J30. Pedrycz, W., Bezdek, J.C., Hathaway, R.J., and G.W. Rogers, “Two Nonparametric Models for Fusing Heterogeneous Fuzzy Data,” IEEE Transactions on Fuzzy Systems, Vol. 6, No. 3, pp. 411-425, 1998. J30.pdf
J31. Hathaway, R.J., “Clustering Random Variables,” Journal of the Institution of Electronics and Telecommunication Engineers, Vol. 44, No. 4, pp. 49-55, 1998. J31.pdf
J32. Hathaway, R.J., Bezdek, J.C. and Y. Hu, "Generalized Fuzzy C-Means Clustering Strategies Using Lp Norm Distances," IEEE Transactions on Fuzzy Systems, Vol. 8, No. 5, pp. 576-582, 2000. J32.pdf
J33. Hathaway, R.J., Hu, Y.K., and J.C. Bezdek, “Local Convergence of Tri-Level Alternating Optimization,” NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, Vol. 9, No. 1, pp. 19-28, 2001. J33.pdf
J34. Hathaway, R.J., and J.C. Bezdek, “Fuzzy C-Means Clustering of Incomplete Data,” IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics, Vol. 31, No. 5, pp. 735-744, 2001. J34.pdf
J35. Hathaway, R.J., and J.C. Bezdek, “Clustering Incomplete Relational Data Using the Non-Euclidean Fuzzy C-Means Algorithm,” Pattern Recognition Letters, Vol. 23, No. 1-3, pp. 151-160, 2002. J35.pdf
J36. Hu, Y., and R.J. Hathaway, "On Efficiency of Optimization in Fuzzy c-Means," NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, Vol. 10, No. 2, pp. 141-155, 2002. J36.pdf
J37. Hathaway, R.J. and J.C. Bezdek, "Visual Cluster Validity (VCV) for Prototype Generator Clustering Models," Pattern Recognition Letters, Vol. 24, No. 9-10, pp. 1563-1569, 2003. J37.pdf
J38. Bezdek, J.C. and R.J. Hathaway, "Convergence of Alternating Optimization," NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, Vol. 11, No. 4, pp. 351-368, 2003. J38.pdf
J39. Huband, J.M., Bezdek, J.C. and R.J. Hathaway, "bigVAT: Visual Assessment of Cluster Tendency for Large Data Sets," PATTERN RECOGNITION, 38, pp. 1875-1886, 2005. J39.pdf
J40. Hathaway, R.J., Bezdek, J.C. and J.M. Huband, "Kernelized Non-Euclidean Relational c-Means Algorithms," NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, 13, pp. 305-326, 2005. J40.pdf
J41. Hathaway, R.J., Bezdek, J.C. and J.M. Huband, "Scalable Visual Assessment of Cluster Tendency for Large Data Sets," PATTERN RECOGNITION 39, pp. 1315-1324, 2006. J41.pdf
J42. Bezdek, J.C., Hathaway, R.J., Huband, J.M., Leckie, C. and R. Kotagiri, "Approximate Clustering in Very Large Relational Data," International Journal of Intelligent Systems 21, pp. 817-841, 2006. J42.pdf
J43. Hathaway, R.J. and J.C. Bezdek, "Extending Fuzzy and Probabilistic Clustering to Very Large Data Sets," Computational Statistics and Data Analysis 51, pp. 215-234, 2006. J43.pdf
J44. Bezdek, J.C., Hathaway, R.J. and J.M. Huband, " Visual Assessment of Clustering Tendency for Rectangular Dissimilarity Matrices," IEEE Transactions on Fuzzy Systems, Vol. 15, No. 5, pp. 890-903, 2007. J44.pdf
J45. Hu, Y. and R.J. Hathaway, “An Algorithm for Clustering Tendency Assessment,” WSEAS TRANSACTIONS on MATHEMATICS, Vol. 7, Issue 7, pp. 441-450, 2008. J45.pdf
J46. Hathaway, R.J., “A Simple Acronym for Doing Calculus: CAL,” PRIMUS, Vol. XVIII, No. 6, pp. 542-545, 2008. J46.pdf
J47. Hathaway, R.J. and Y. Hu, “Density-Weighted Fuzzy c-Means Clustering," IEEE Transactions on Fuzzy Systems, Vol. 17, No. 1, pp. 243-252, 2009. J47.pdf
Replies and Reviews
R01. Kim, T., Bezdek, J.C., and R.J. Hathaway, "Author's Reply to 'Comments on : Optimality Test for Fixed Points by Kim et al' ", PATTERN RECOGNITION, Vol. 23, No. 11, pp. 1309-1310, 1990. R01.pdf
R02. Hathaway, R.J., A review of the monograph: Spatial Analysis and Planning under Imprecision, Journal of Classification, Vol. 7, pp. 315-316, 1990. R02.pdf
R03. Hathaway, R.J., A review of the monograph: Fuzzy Sets in Information Retrieval and Cluster Analysis, Journal of Classification, Vol. 8, pp. 284-286, 1991. R03.pdf
R04. Hathaway, R.J., A review of the collection of papers: Fuzzy Engineering Toward Human Friendly Systems, Journal of Classification, Vol. 11, pp. 267-270, 1994. R04.pdf
R05. Hall, L. and R.J. Hathaway, A review of the software: Fuzzy Systems Toolbox and Fuzzy Logic Toolbox, IEEE TFS, Vol. 4, No.1, pp.82-85, 1996. R05.pdf
THESES DIRECTED
University of South Carolina
1. "Computing Maximum-Likelihood Estimates for Normal Mixtures", Vicki J. Huggins,
MS, December, 1983.
2. "A Penalized Approach for Estimating the Parameters of a Normal Mixture", Chia-Lin
Chin, MS, December, 1984.
3. "EM Algorithm Variants for Grouped and Truncated Normal Mixture Distributions",
R. Eric Perry, MS, July, 1985.
4. "Numerical Analysis Routines for Small Computers", Jung Sun, MS, August, 1985.
5. "The Grouped-Variable Coordinate Descent Algorithm", Celia Wilson, MS, December,
1985.
6. "Some Methods of Feature Selection", Serena Horng, MS, January, 1986.
7. "Condition Number Estimates for Solving Linear Systems", Ken Araujo, MS, July, 1986.
Georgia Southern University
8. “Fusing Heterogeneous Fuzzy Data for Clustering”, G. Wesley Rogers, MS, June, 1997.
9. “Generalized Fuzzy C-Means Clustering”, Dessa D. Overstreet, MS, June, 1998.