Publications

Some of my monographs:

B. Mirkin (2012) Clustering: A Data Recovery Approach, 2d edition, Boca Raton Fl., Chapman and Hall/CRC here. A list of reviews of the 1st edition and quotations from them is here.
B. Mirkin (1996) Mathematical Classification and Clustering, Dordrecht, Kluwer Academic Publishers.
B. Mirkin and S. Rodin (1984) Graphs and Genes, Heidelberg, Springer Verlag.
A textbook:
B. Mirkin (2011) Core Concepts in Data Analysis: Summarization, Correlation, Visualization, London, Springer; Undergraduate Topics in Computer Science Series. Its draft is here. A review from ACM Computing Reviews is here.
Here are some of my papers in PDF format (page numbering may not coincide with that of the published version). You will need Adobe® Acrobat® Reader™ in order to view them.
B. Mirkin, P. Arabie, L. Hubert (1995) Additive Two-Mode Clustering: The Error-Variance Approach Revisited, Journal of Classification, 12, 243-263.
B. Mirkin (1997) Approximation Clustering: a Mine of Semidefinite Programming Problems, in P.Pardalos and H.Wolkowich (Eds.) Topics in Semidefinite and Interior-Point Methods, Fields Institute Communications Series, American Mathematical Society: Providence, 167-180.
Y. Kempner, B. Mirkin and I. Muchnik (1997) Monotone Linkage Clustering and Quasi-Convex Set Functions, Appl. Math. Letters, 10, no. 4, 19-24.
B. Mirkin (1998) Least-Squares Structuring, Clustering, and Data Processing Issues, The Computer Journal, 1998, 41, no. 8, 519-536.
B. Mirkin and I. Muchnik (1998) Combinatorial Optimization in Clustering, in D.-Z. Du and P.Pardalos (Eds.) Handbook of Combinatorial Optimization, 2, Boston, Ma.: Kluwer Academic Publishers, 261-329.
B. Mirkin (1999) Three Approaches to Aggregation of Interaction Tables, in H. Bacelar-Nicolau, F. Costa Nicolau and J. Janssen (Eds.) Applied Stochastic Models and Data Analysis, Lisbon: National Institute of Statistics, 30-35.
B. Mirkin (1999) Concept Learning and Feature Selection Based on Square-Error Clustering, Machine Learning, 35, 25-40.
B. Mirkin and O. Ritter (2000) A Feature Based Approach to Discrimination and Prediction of Protein Folding Groups, in S. Suhai (Ed.), Genomics and Proteomics: Functional and Computational Aspects, New York: Kluwer Academic/Plenum Publishers, 157-177.
B. Mirkin (2001) Eleven Ways to Look at the Chi-Squared Coefficient for Contingency Tables, The American Statistician, 55, no. 2, 111-120.
B. Mirkin (2001) Reinterpreting the Category Utility Function, Machine Learning, 45, 219-228.
B. Mirkin and I. Muchnik (2002) Layered Clusters of Tightness Set Functions, Applied Mathematics Letters, 15, 147-151.
B. Mirkin and I. Muchnik (2002) Induced Layered Clusters, Hereditary Mappings, and Convex Geometries, Applied Mathematics Letters, 15, 293-298.
B. Mirkin, T. Fenner, M. Galperin and E. Koonin (2003) Algorithms for computing parsimonious evolutionary scenarios for genome evolution, the last universal common ancestor and dominance of horizontal gene transfer in the evolution of prokaryotes, BMC Evolutionary Biology 2003, 3:2.
B. Mirkin and E. Koonin (2003) A top-down method for building genome classification trees with linear binary hierarchies, in M. Janowitz, J.-F. Lapointe, F. McMorris, B. Mirkin, and F. Roberts (Eds.) Bioconsensus, DIMACS Series, V. 61, Providence: AMS, 97-112.
S. Nascimento, B. Mirkin, and F. Moura-Pires (2003) Modeling proportional membership in fuzzy clustering, IEEE Transactions on Fuzzy Systems, 11, no. 2, 173-186.
I. Wasito, B. Mirkin (2005) Nearest neighbour approach in the least squares data imputation algorithms, Information Sciences, 169, 1-25.
K. Makarova, Y. Wolf, S. Mekhedov, B. Mirkin, and E. Koonin (2005) Ancestral paralogs and pseudoparalogs and their role in the emergence of the eukaryotic cell, Nucleic Acids Research, 2005 Aug 16;33(14), 4626-4638.
I. Wasito, B. Mirkin (2006) Nearest neighbours in least-squares data imputation algorithms with different missing patterns, Computational Statistics & Data Analysis 50, 926-949.
M. Chiang, B. Mirkin (2010) Intelligent choice of the number of clusters in K-Means clustering: An experimental study with different cluster spreads, Journal of Classification, 27(1), 3-41.
B. Mirkin, S. Nascimento, T. Fenner, L.M. Pereira (2010) Fuzzy thematic clusters mapped to higher ranks in a taxonomy, International Journal of Software and Informatics, 4(3), 257-275.
B. Mirkin, R. Camargo, T.Fenner, G.Loizou, P.Kellam (2010) Similarity clustering of proteins using substantive knowledge and reconstruction of evolutionary gene histories in herpesvirus, Theoretical Chemistry Accounts: Theory, Computation, and Modeling 125,3-6, 569-581.
S. Nascimento, B. Mirkin (2012) Additive spectral method for fuzzy cluster analysis of similarity data including community structure and affinity matrices, Information Sciences, 183, 16-34.