Data Analysis & Location Theory

1. Y. Levin and A. B-I, An Estimation Algorithm using Distance Clustering of Data, OPSEARCH 38(2001), 443-455

2. A. B-I et al, A Geometry of Data Sets, lecture at the Haifa Conference on Matrix Theory, Jan 2005

3. A. B-I and Y. Levin, The Geometry of Linear Separability in Data Sets, Lin. Algeb. and Appl. 416(2006), 75-87

4. A. B-I and C. Iyigun,  Probabilistic Distance Clustering, J. Classification 25(2008), 5-26

5. A. B-I and C. Iyigun, Probabilistic Distance Clustering, Lecture at the Dept. of Mathematics & Statistics, University of Tampere, Finland, November  2007

6. C. Iyigun and A. B-I, Probabilistic Distance Clustering adjusted for Cluster Size, Probability in Engineering and Informational Sciences 22(2008), 1-19

7. C. Iyigun and A. B-I, Probabilistic Distance Clustering, Algorithm and Applications, Chapter 2, Clustering Challenges in Biological Networks, S. Butenko, W.A. Chaovalitwongse and P.M. Pardalos (Editors), World Scientific, Singapore, 2009, ISBN-13 978-981-277-165-0

8. C. Iyigun, Probabilistic Distance Clustering, Ph.D. thesis in Operations Research, Rutgers University, November 2007

9.  C. Iyigun and A. B-I, Contour Approximation of Data: A Duality Theory, Lin. Algeb. and Appl. 430(2009), 2771-2780

10. C. Iyigun and A. B-I, Semi-Supervised Probabilistic Distance Clustering and the Uncertainty of Classification,  pp. 3-20 in Advances in Data Analysis, Data Handling and Business Intelligence, A. Fink, B. Lausen, W. Seidel and A. Ultsch (Editors), Studies in Classification, Data Analysis and Knowledge Organization, Springer 2010, ISBN 978-3-642-01043-9

11.  A. B-I and C. Iyigun, Clustering, Classification and Contour Approximation of Data, Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Y. Censor, Ming Jiang and Ge Wang (Editors), Medical Physics Publishing, Madison, Wisconsin  (to appear.)

12. C. Iyigun and A. B-I,  A Generalized Weiszfeld Method for the Multi-Facility Location Problem, O.R. Letters 38(2010), 207-214

13. C. Iyigun and A. B-I, The Multi-Facility Location Problem: A Probabilistic Decomposition Method, to appear

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