Richard Hathaway

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                                                            Richard Hathaway

                                                            Department of Mathematical Sciences

                                                            Georgia Southern University

                                                            Statesboro, Georgia 30460-8093

                                                            Work Phone:  (912) 478-5619 or -5390

                                                            Fax:                   (912) 478-0654

                                                            Email:               rhathaway@GeorgiaSouthern.edu

 

EDUCATION

 

                BS, Applied Mathematics, University of Georgia;                        6/79

 

                Undergraduate Honors:  Graduated Magna Cum Laude, Honors Program Participant, Phi

                Beta Kappa, Phi Kappa Phi, Golden Key Honor Society.

 

                PhD, Mathematical Sciences, Rice University;                              5/83

 

                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

 

1979-82                Graduate Fellowship at Rice University

                                                 

1981(Su)               Mobil Field Research Laboratory Research Assistant

                                                 

1982-86                 University of South Carolina Assistant Professor

                                                1982-85                 (Department of Mathematics and Statistics)

                                                1985-86                 (Department of Statistics)

                                                1985-86                 (Department of Computer Science:  Adjunct)

 

1986-90                Georgia Southern College Assistant Professor of Mathematics.

 

1990(Sp)               University of West Florida Visiting Research Professor of Computer Science

               

1990-95                 Georgia Southern University Associate Professor of Mathematics.

 

1995-                       Georgia Southern University Professor of Mathematics.

 

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 FOR  2009

 

                                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

 

1981-82                 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.

 

1983-85                 NSF       "Mathematical Sciences Research Equipment", (Project Member), Grant

                                                   #MCS-8304981.

 

1984-86                 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.

 

1987-88                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 (93 Total)

 

                Technical Reports

 

1.             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.

 

2.             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.

 

3.             Hathaway, R.J.,  "Convergence Properties of a Constrained EM Algorithm for Normal Mixtures", University of South Carolina Statistics Technical Report No. 99, August, 1984

 

4.             Hathaway, R.J.,  "Consistency for a Constrained Normal Mixture Problem", University of South Carolina Statistics Technical Report No. 100, October 1984.

 

                Conference Proceedings Articles

 

1.             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.

 

2.             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.

 

3.             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.

 

4.             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.

 

5.             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.

 

6.             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.

 

7.             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.

 

8.             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.

 

9.             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.

 

10.          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.

 

11.          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.

 

12.          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.

 

13.          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.

 

14.          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.

 

15.          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.

 

16.          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.

 

17.          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.

 

18.          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.

 

19.          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.

 

20.          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.

 

21.          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.

 

22.          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.

 

23.          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.

 

24.          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.

 

25.          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.

 

26.          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.

 

27.          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.

 

28.          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.

 

29.          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.

 

30.          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.

 

31.          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.

 

                Book Chapters

 

1.             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.

 

2.             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.)

 

3.             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.

 

4.             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.

 

5.             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.

 

6.             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.

 

7.             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.

 

                Journal Articles

 

1.             Bezdek, J.C., Hathaway, R.J., and V. Huggins,  "Parametric Estimation for Normal Mixtures",  Pattern Recognition Letters 3, March, pp.79-84, 1985.

 

2.             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.

 

3.             Hathaway, R.J.,  "Another Interpretation of the EM Algorithm for Mixture Distributions",  Statistics & Probability Letters, Vol. 4, pp.53-56, 1986.

 

4.             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.

 

5.             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.

 

6.             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.

 

7.             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.

 

8.             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.

 

9.             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.

 

10.          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.

 

11.          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.

 

12.          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.

 

13.          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.

 

14.          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.

 

15.          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.

 

16.          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.

 

17.          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.

 

18.          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.

 

19.          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.

 

20.          Hathaway, R.J. and J.C. Bezdek,  "Switching Regression Models and Fuzzy Clustering", IEEE TFS, Vol. 1, No. 3, pp.195-204, 1993.

 

21.          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.

 

22.          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.

 

23.          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.

 

24.          Hathaway, R.J. and J.C. Bezdek,  "Optimization of Clustering Criteria by Reformulation", IEEE TFS, Vol. 3, No. 2, pp.241-245, 1995.

 

25.          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.

 

26.          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.

 

27.          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.

 

28.          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.

 

29.          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.

 

30.          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.

 

31.          Hathaway, R.J.,  “Clustering Random Variables,”  Journal of the Institution of Electronics and Telecommunication Engineers, Vol. 44, No. 4, pp. 49-55, 1998.

 

32.          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.

 

33.          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.

 

34.          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.

 

35.          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.

 

36.          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.

 

37.          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.

 

38.          Bezdek, J.C. and R.J. Hathaway,  "Convergence of Alternating Optimization," NEURAL, PARALLEL & SCIENTIFIC COMPUTATIONS, Vol. 11, No. 4, pp. 351-368, 2003.

 

39.          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.

 

40.          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.

 

41.          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.

 

42.          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.

 

43.          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. 

 

44.          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.

 

45.          Hu, Y. and R.J. Hathaway, “An Algorithm for Clustering Tendency Assessment,” WSEAS TRANSACTIONS on MATHEMATICS, Vol. 7, Issue 7, pp. 441-450, 2008.

 

46.          Hathaway, R.J., “A Simple Acronym for Doing Calculus: CAL,” PRIMUS, Vol. XVIII, No. 6, pp. 542-545, 2008.

 

                Other

 

1.             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.

 

2.             Hathaway, R.J.,  A review of  the monograph:  Spatial Analysis and Planning under Imprecision,   Journal of Classification, Vol. 7, pp. 315-316, 1990.

 

3.             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.

 

4.             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.

 

5.             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.

 

 

 

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.