J.M. Publications (refereed)

  1. On the Maximum Principle for some Set Functions, Proceedings of the Tallinn Technical University, nr. 313, 1971, 6p, (pdf).
  2. Extremal Subsystem of Monotone Systems, I-III,  Automation and Remote Control, Plenum Publishing Corporation, 1976, pp. 758-766 (submitted August 13, 1975); 1977, pp. 1286-1294 (submitted April 29, 1975); 1978, pp. 89-97 (submitted February 23, 1976), (pdf-I, pdf-II, pdf-III).
  3. Monotone Systems in Scene Analysis, Mathematical Proceedings of Cartographic Data. Tallinn, 1979, pp. 63-66, (pdf)
  4. Contramonotonic Systems in the Analysis of the Structure of Multivariate Distributions, Automation and Remote Control, Plenum Publishing Corporation, 1981, pp. 986-993, (pdf).
  5. A fast algorithm for finding matching responses in a survey data table, Mathematical Social Sciences 30, 1995, pp. 195-206, (pdf).

Non J.M. publications (refereeing)

  1. L. Võhandu, Tallinn. Some Methods to Order Objects and Variables in Data Systems, Proceedings of Tallinn Technical University, 1980, No. 482, pp. 43-50, (pdf).
  2. E.N. Kuznetsov, Moscow. Analyzing the Structure of the Coupling Matrix with the aid of the associated Monotonic System, Automation and Remote Control, Plenum Publishing Corporation, 1980, pp. 990-997,(pdf).
  3. E.N. Kuznetsov, I.B. Muchnik, Moscow. Analysis of the Distribution Functions in an Organization, Automation and Remote Control, Plenum Publishing Corporation, 1982, pp. 1325-1332, (pdf).
  4. I.B. Muchnik, N. F. Chkuaseli, L. V. Shvartser, Moscow, Tbilisi. Linguistic Analysis of 0-1 Matrices using Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1984, pp. 132-139, (pdf)
  5. Ya.A. Kogan, A.A. Korshunov, I.B. Muchnik, Moscow. Algorithm for Structural Analysis of the Measurement Path of Computer System Performance Parameters, Automation and Remote Control, Plenum Publishing Corporation, 1984, pp. 411-415, (pdf).
  6. R.V. Éeremaa, Tartu. Clustering using Monotone Systems, Theoretical and Applied Topics of Mathematics, II, Abstracts of Papers at Republican Conf., Estonia, Tartu, 1985.
  7. E.N. Kuznetsov, I. B. Muchnik, L.V. Shvartser, Moscow. Local Transformations in Monotonic Systems, I(pdfI),II(pdfII), Automation and Remote Control, Plenum Publishing Corporation, 1985, pp. 1567-1578., 1986, pp. 105-114.
  8. G. Hencsey, Budapest. Associate-Structural Analysis of 0-1 Data using Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1986, pp. 247-250, (pdf).
  9. L. Vyhandu, Tallinn. Fast Methods for Data Analysis and Processing, Transactions of the Faculty of Economics, Tallinn Technical University, 1986, pp. 15-23, (pdf).
  10. P. Vyhandu, Tallinn. New Ideas in Data Base Segmentation, Transactions of the Faculty of Economics, Tallinn Technical University, 1986, pp. 93-105, (pdf)
  11. I.B. Muchnik, L.V. Shvartser, Moscow. Submodular Set Functions and Monotone Systems in Aggregation Problems, I(pdfI),II(pdfII), Automation and Remote Control, Plenum Publishing Corporation, 1987, pp. 679-689, pp. 821 ­ 828.
  12. Yu. M. Zaks, I. B. Muchnik, Moscow. Incomplete Classification of a Finite Set of Objects using Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1989, pp. 553-560, (pdf).
  13. I.B. Muchnik, L.V. Shvartser, Moscow. Nuclei of Monotonic Systems on a Semilattice of Sets, Automation and Remote Control, Plenum Publishing Corporation, 1989, pp. 1095-1102,(pdf).
  14. L.O. Libkin, I.B. Muchnik, L.V. Shvartser, Moscow. Quasilinear Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1989, pp. 1249-1259, (pdf).
  15. M. N. Dumbadze, Moscow. Classification Algorithms based on Core Seeking in Sequence of Nested Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1990, pp. 382-387, (pdf).
  16. I. B. Muchnik, L. V. Shvartser, Moscow. Maximization of Generalized Characteristics of Functions of Monotone Systems, Automation and Remote Control, Plenum Publishing Corporation, 1991, pp. 1562-1572, (pdf).
  17. A. V. Genkin (Moscow), I. B. Muchnik (Boston), Fixed Approach to Clustering, Journal of Classification, Springer, 1993, 10, pp. 219-240, (pdf).
  18. R. Kuusik, The Super-Fast Algorithm of Hierarchical Clustering and The Theory of Monotonic Systems, Data Processing, Problems of Programming, Transactions of Tallinn Technical University, 1993, No. 734, pp. 37-61, (pdf).
  19. L. Võhandu, R. Kuusik, Cliques and Algorithms with Hidden Parallelism, Transactions of Tallinn Technical University, 1993, No. 734, pp. 63-74, (pdf).
  20. R. Kuusik, Extracting of all maximal cliques : monotone system approach, Proceedings of the Estonian Academy of Sciences. Engineering. 1, 1995, 2, p. 113-38, (pdf).
  21. L. Võhandu, R. Kuusik, P. Roosmann, Database Mining, GIS BALTIC-SEA States, '95 Exibition, Conference, Tallinn 1995, (pdf).
  22. Y. Kempner, B. Mirkin and I. Muchnik, Monotone Linkage Clustering and Quasi-Convex Set Functions, Appl. Math. Letters, 1997, v. 10, issue no. 4, pp. 19-24, (pdf).
  23. B. Mirkin and I. Muchnik, Combinatoral Optimization in Clustering, Handbook of Combinatorial Optimization, D.-Z. Du and P.M. Pardalos (Eds.) pp. 69, © 1998 Kluwer Academic Publishers, (pdf).
  24. A.V. Malishevski, The Properties affecting Ordered Functions of Sets, in Qualitative Models In the Theory of Complex Systems, 1998, pp. 169-173 (pdf).
  25. L.V. Shvartser, C. Kulikowski, I.B. Muchnik, Multiple sequence alignment using the quasi-concave function optimization based on the DIALIGN combinatorial structures, DIMACS Technical Reports, 2001, 2001-02, (pdf).
  26. E.M. Mirkes, Functional Models of Universal Brain-Computer, Manuscript, Doctor degree of Techn. Sc., Krasnojarsk Technical Univ., Inst. of Computing Modelling, 2001, pp.98-100, (pdf).
  27. B. Mirkin and I. Muchnik, Layered Clusters of Tightness Set Functions, Applied Mathematics Letters, 2002, v. 15, issue no. 2, pp. 147-151, (pdf).
  28. Yulia Kempner and Vadim E. Levit, Correspondence between two antimatroid algorithmic characterizations, Department of Computer Science, Holon Academic Institute of Technology, 52 Golomb Str., P.O. Box 305, Holon 58102, ISRAEL, (pdf), july 2003.
  29. E. I. Kuznecov, I.B. Muchnik, L.V. Shvartzer, Monotonic Systems and Their Properties, translated from Russian by D. Fradkin, July 21, 2003 (pdf).
  30. Rein Kuusik, Grete Lind, International Twelfth Turkish Symposium on Artificial Intellegence and Neural Networks, 02-04 July 2003, Çannakkale, Turkyie (pdf); "Generator of Hypotheses - An Approach of Data Mining Based on Monotone System Theory", International Journal of Computational Intellegence, Volume 2, Number 1, January 2004 (pdf).
  31. A Framework for Solving Hard Variants of Stable Mathching Within a Limited Time, Tarmo Veskioja and Leo Võhandu, IADIS International Conference, Applied Computing, 2004, pp.II,177-182 (pdf).
  32. R. Kuusik, I. Liiv and G. Lind, An Efficient Method for Post Analysis of Patterns, Artificial Intellegence and Applications, 2005, 453, pp.294-309, (pdf).
  33. T. Veskioja, Stable Marriage Problem and College Admission, Thesis on Informatics and System Engineering, Faculty of Information Technology, Department of Informatics, Tallinn University of Technology, December 9, 2005 (pdf).
  34. Yulia Kempner and Vadim E. Levit, Quasi-Concave Functions on Poly-Antimatroids, Department of Computer Science, Holon Academic Institute of Technology, 52 Golomb Str., P.O. Box 305, Holon 58102, ISRAEL, (pdf), 2006.
  35. L. Võhandu, R. Kuusk, A. Torim, E. Aab and G. Lind, Some algorithms for data table (re)ordering using Monotone Systems, Department of Informatics, Tallinn University of Technology, Proceedings of the 5th WSEAS Int. Conf. on Artificial Intellegence, Knowledge Engineering and Data Bases, Madrid, Spain, February 15-17, 2006, pp.417-422 (pdf).
  36. Karin Juurikas, Ants Torim and Leo Võhandu, Multivariate Data Visualization in Social Space, IADIS International Conference Applied Computing, 2006, pp.427-431 (pdf).
  37. Karin Juurikas, Ants Torim and Leo Võhandu, Mitmemõõtmeliste andmete visualiseerimine isoleeritud majandusruumis, kasutades monotoonsete süsteemide konformismiskaalat: Uurimus Hiiumaa näitel, nr.36 eestikeelne variant. Estonian variant of the nr. 36, (pdf).
  38. Babin A.I. and Shorin O.A., An Algorithm of Frequency-Territorial Cover for Department Systems of Land-Mobile Radio Communications, Russian Academy of Sciences, "Uspehi Sovremennogo Estestvoznanija," No.4, 2008 (pdf).
  39. Shorin O.A. and Tokar R.S., An Algorithm for Synthesis of 2G Cellular Systems, Scientific and Technical Magazine "Special Equipment and Communications," No.1, 2008 (pdf)
  40. Yulia Kempner, Vadim E. Levit and Ilya Muchnik, Quasi-Concave Functions and Greedy Algorithms, Advances in Greedy Algorithms, Book edited by: Witold Bednorz, ISBN 978-953-7619-27-5, pp. 586, November 2008, I-Tech, Vienna, Austria (pdf).
  41. Peeter Roosmann, Leo Võhandu, Tarvo Treier, and Grete Lind, Monotone Systems Approach in Inductive Learning, International Journal of Applied Mathematics and Informatics, Issue 2, Volume 2, 2008, pp.47-56 (pdf).
  42. Yulia Kempner and Vadim E. Levit, Duality between quasi-concave functions and monotone linkage functions, Dept. of Computer Science, Holon Institute of Technology, Ariel University Center of Samaria, math.CO, 24 Aug. 2008 (pdf).
  43. Yulia Kempner, and Ilya Muchnik, Quasi-Concave Functions on meet-semilattices, Discrete Applied Mathematics 156, 2008, 492-499 (pdf)
  44. Mgeladze A., On the Construction of Monotonous System on the Set of Pairwise Connections, Transactions, Georgian Technical University, Automated Controlled Systems, No.2(5), p.47-50, in Russian, 2008 (pdf).
  45. Yilia Kempner and Ilya Muchnik, Custering on Antimatroids and Convex Geometries, Holon Academic Institute of Technology, DIMACS, Rutgers University, 2009 (pdf).
  46. Mgeladze A., Gociridze G., Cluster Analysis in the Study of Organizational Systems, Georgian Technical University, Tbilisi, ISBN 978-9941-551-3, p.248, in Russian, 2009 (pdf).
  47. Mirkin B.G., Methods of Cluster-Analysis to support Decision Making: Overview, Preprint WP7/2011/03, "Mathematical Methods of Decision Analysis in Economics, Business and Politics," High School of Economics, National Research University, in Russian, 2011 (pdf).

J.M. Publications (nonrefereed)

  1. On the Redfield-Read Combinatory Algorithm, Math.Notes, 1969, Nr.6, 583-588, (pdf) .
  2. On An Absorbing Class of Markov Chains, Transactions of Estonian Academy of Science, Physics and Mathematics, 1972, Nr. 3, pp. 294-296.
  3. On the Method of Group Classifications, Publication of the University of Tartu, Estonia, Conference record, 1972, 3p.
  4. On a Plan of Discrete Optimization, Publication of the Academy of Science of Estonia. Lecture Thesis of the Union Conference, Tallinn, 1973, 22p.
  5. Thesis on the Dissertation to the Scholars of the Grade of Candidates of Technical Science, Publication of the Tallinn Technical High School, 1974, 24p.
  6. A Study of Infraspecific Groups of the Baltic East Coast Autumn Herring by two New Methods based on Cluster Analysis, Publication of the Science of Estonia. Estonian Contribution to the International Biological Program VI, Tartu, 1975, 24p.,(pdf) .
  7. On the Option of Characteristics for Morphometric Analysis, Fish Harvesting Research, "Zweigsne", Riga, 1975, 10p.
  8. Advanced Structure Research Method of Traffic Accidents, In the volume "The Actual Problems of Criminology and Forensic Medicine in Estonia", Tallinn 1978, 12p.
  9. An Explorative method to study Markov Chain, Proceedings of the Tallinn Technical University, nr. 464, 1979, 14p.,(pdf) .
  10. Stable Coalitions in Monotonic Games, Automation and Remote Control 40, 1980, pp. 1469-1478, (pdf).
  11. Stable Sets in Continuous Monotone Systems, Data Analysis Models and Decisions Making, Collection of scientific Proceedings edited by B.G. Mirkin., Novosibirsk,1980, Russian, pp. 59-69.
  12. Equilibrium in a Production Network with Transaction Costs, Automation and Remote Control, Plenum Publishing Corporation, 1980, pp. 1724-1729, Research Announcements, Economics Bulletin, Vol. 28 no. 16 p. 1, (pdf).
  13. Monotone System in Cluster Analysis, Proceedings of 6th International Conference on Pattern Recognition, Munich, Germany, Oct.19-22, 1982, pp. 129-130.
  14. The Welfare Policy Dilemma of Income Redistribution, (pdf), earlier ver. First World Congress of the Game Theory (Games 2000) July 24-28, 2000. Research Announcements, Economics Bulletin, Vol. 28 no. 22, 2001, p. 1. Presented (pdf) at the third international conference on public economics of the Association for Public Economic Theory (APET), Paris, Pantheon-Sorbonne, July 4-6, 2002, program (pdf), and at The Conference of Economic Design, Palma de Mallorca June 30, 1-2 July 2004, SED2004 (pdf) .
  15. Calculus of Bargaining Solution on Boolean Tables, Research Announcements, Economics Bulletin, Vol. 28 no. 15, 2001, p. 1, (pdf).
  16. Three Union Regulations for Coastal Protection Agency, 2001, (pdf).
  17. Maximum Principle for Survey Data Analysis, (pdf). Presented at the 19th Nordic Conference on Mathematical Statistics, June 9-13, 2002, Stockholm, Sweden, (pdf).
  18. KDnuggets News 03:10, item 16, Publications, From: Joseph Mullat Date: 13 May 2003 Subject: An Approach to Data Mining Using Monotone System.
  19. How to arrange a Sigles Party, Preliminary version, 07 September 2010, In memory of Andrey Malishevski, (pdf)

Relevant materials indirectly (invisibly) refereeing or using J.M. publications nr. 1-2 via non J.M. publications

  1. P. Xing, C. Kulikowski, I. Muchnik, I. Dubchak, D. M Wolf, S. Spengler and M. Zorn, Analysis of ribosomal RNA sequences by combinatorial clustering, 1999, p.10, (pdf).
  2. Eric Poe Xing, Ilya Muchnik, Manfred Zorn, and Sylvia Spengler, Classification of Multi-Aligned Sequence Using Monotone Linkage Clustering (pdf) and Alignment Segmentation, Bioinformatics Abstracts, DOE Human Genome Program, Contractor-Grantee Workshop VIII, February 27-March 2, 2000  Santa Fe, NM.
  3. B. Mirkin and I. Muchnik, Induced Layered Clusters, Hereditary Mappings, and Convex Geometries, Applied Mathematics Letters, 2002, v. 15, issue no. 3, pp. 293-298, (pdf).
  4. DIMACS Working Group on Data Mining and Epidemiology, Dates: First meeting 2003-2004, DIMACS Center, CoRE Building, Rutgers University, (pdf).
  5. Andrei V. Anghelescu and Ilya B. Muchnik, Combinatorial Clustering for Textual Data Representation in Machine Learning Models, 25 November 2002, (pdf).
  6. Behnam Malakooti and Ziyong Yang, Electrical Engineering and Computer Science Department, Case Western Reverse University, Cleveland Ohio 44106-7070, Clustering and Group Selection of Multiple Criteria Alternatives, with Application to Space-based Networks, Forthcoming: IEEE Trans. on Systems, Man, and Cybernetics Part B: Cybernetics, Vol. 33, 9, 000-000, 2003, (pdf)
  7. Paul B.Kantor and Fred S.Roberts, Monitoring Message Streams: Algorithmic Methods for Automatic Processing of Messages, Rutgers University, New Brunswick, NJ, April 2003, (pdf).
  8. Dmitriy Fradkin, Ilya B. Muchnik, Clusters with Core-Tail Hierarchical Structure and Their Applications to Machine Learning Classification, Rutgers, The State University of New Jersey, (pdf).
  9. Akshay Vashist, Casimir A. Kulikowski and Ilya Muchnik, Automatic screening for groups of orthologous genes in comparative enomics using multiple-component clustering, DIMACS Technical Report 2004-33, July 2004, (pdf).
  10. Akshay Vashist, Casimir A. Kulikowski and Ilya Muchnik, Candidate Ortholog Clusters in Human, Mouse and Chicken genomes, Department of Computer Science, Rutgers, The State University of New Jersey, Piscataway, NJ - 08854, U.S.A. (pdf)
  11. Andrei V. Anghelescu, et al., Simulated Entity Resolution by Diverse Means: DIMACS Work on the KDD Challenge of 2005, DIMACS Technical Report 2005-42, February 2006. (pdf).
  12. Akshay Vashist, Casimir A. Kulikowski and Ilya Muchnik, Automatic Protein Function Annotation through Candidate Ortholog Clusters from Genomes, DIMACS, Rutgers University, Piscataway, NJ - 08854, U.S.A, (pdf).
  13. Andrei V. Anghelescu and Ilya B. Muchnik, Combinatorial PCA and SVM Methods for Feature Selection in Learning Classifications (Applications to Text Categorization), Rutgers, The State University of New Jersey, Piscataway, NJ - 08854, U.S.A, (pdf).
  14. N. Lytkin, S. Streltsov, L. Perlovsky, I. Muchnik and S. Petrov, Improving the presentation of search results by multipartite graph clustering of multiple reformulated queries and a novel document representation, work supported by Yandex, grant 110104, (pdf).
  15. Akshay Vashist, Zhipeng Zhao, Ahmed Elgammal, Ilya Muchnik and Casimir Kulikowski, Combinatorial and Statistical Methods for Part Selection for Object Recognition, International Journal of Computer Mathermatics,Volume: 84, Issue: 9, Pages: 1285-1297,  2007 (pdf).
  16. Thang Le, Coring Method for clustering a Graph, Department of Computer Science, Rutgers University, 2007, (pdf).
  17. Akshay Vashist, Casimir A. Kulikowski andIlya Muchnik, Ortholog Clustering on a Multipartite Graph, IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 4, No.1, January-March 2007, pp.17-27, (pdf).
  18. Toomas Kirt, Ene Vainik, Leo Võhandu, A method for comparing self-organizing maps: case studies of banking and lingustic data. Y. Ioannidis, B. Novikov and B. Rachev (Eds.): Local Proceedings of ADBIS 2007, pp. 107-115, © Technical University of Varna, 2007, (pdf)
  19. Thang Le, Casimir Kulikowski, Ilya Muchnik, A Graph-based Clustering Method for Image Segmentation, Department of Computer Science, Rutgers University, New Brunswick, New Jersey, 2008. (pdf)
  20. Baiyang Liu, Casimir Kulikowski, Ilya Muchnik, Global Ordering For Multidimentional Data: Comparison with K-means Clustering, Department of Computer Science, DIMACS Technical Report 13, Rutgers University, New Brunswick, New Jersey, 2009. (pdf)

Separate materials using, refereeing or indicating at "Monotone/Monotonic Systems"

  1. Mandell I. D., Cluster Analysis, 1988. (pdf)
  2. Anti Markus, "Digitaalskemi Testvektorite Hulga Optimeerimine", Tallinna Tehnikaülikool, Arvutustehnika Instituut, Diplomitöö, Juhendaja Raimund Ubar, 1998, in Estonian. (pdf)
  3. Evaluation Report, Research evaluation in information technology and systems engineering in Estonia, 21 – 23 November 2000, (pdf).
  4. Leo Võhandu, Meenutusi TI eriala ajaloost, Postitatud: Monday, February 10 @ 12:31:05 EET , ilmus numbris 03/2001.
  5. G. Lind, Monotone Systems in Data Mining, Fifth International Baltic Conference on Databases and Information Systems, June 3-6, 2002 Tallinn, Estonia.
  6. Rein Kuusik, Grete Lind, An Approach of Data Mining using Monotone Systems, 5th International Conference On Enterprise Information Systems, École Supérieure d' Électronique de l' Ouest - Angers - France - 23-26 April, 2003.
  7. Monotonic Systems in NP-hard problems optimization, "Monotoonsed süsteemid NP-keeruliste probleemide optimeerimisel", http://ar.va.ttu.ee/v/v/p/teadus_1.web.pandmed?PROJE=11333
  8. Rein Kuusik, Leo Võhandu, "Ühest objektsüsteemide struktureerimise efektiivsest meetodist", "Monotoonsed Süsteemid ja Tekst", 3. Rakenduslingvistika konverents, Tallinn, 25.-26. märts 2004, Teesid, pp.35-38, (pdf)
  9. Ants Torim, Rein Kuusik, "Describing Data Table with best Decision", Proceedings of the 5th WSEAS Int. Conf. on SIMULATION, MODELING AND OPTIMIZATION, Corfu, Greece, August 17-19, 2005, Department of Informatics, Tallinn University of Technology, Raja 15, 12618 Tallinn, ESTONIA. (pdf)
  10. HwaSeob Joseph Yun, Consistent Triplets in Graph Clustering for Protein Sequence Analysis,  Department of Computer Science, Rutgers University, April 26, 2006. (pdf)
  11. Shorin O.A. and Kosinov M.I., Increased Capicity of Cellular Communications supporting Soft Mode of  Handover, MTUSI, Mobile Telecommunications, march 2007, in Russian. (pdf)
  12. Mgeladze, A. P., "A Method of Clustering, induced by Monotone Systems," Georgian Technical University, Tbilisi, Georgian Electronic Scintific Journal: Computer Science and Telecommunications,  No.2(16), pp.99-112, in Russian, 2008 (pdf)
  13. Babin A. I., Optimal Design of Network Radio Subsystems 3G/UMTS/WCDMA based on the Theory of Monotone Systems,  National Institute of Radio and Information Technologies (NIRIT), Moscow, Russia, Contemporary Sience-Intensive Technologies, Nr.2, 2008 (pdf)

Metaphysics

  1. In the begining, there was nothing. Well, not quite...(pdf)