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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 54, 2005 - Issue 4-5: In Celebration of Professor Dr. V. F. Demyanov's 65th Birthday. Guest Editors: Franco Gianessi, Diethard Pallaschke, Alexander M. Rubinov
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Original Articles

An algorithm for minimizing clustering functions

Adil M. BagirovCorrespondence[email protected]
&
Julien UgonView further author information
Pages 351-368 | Accepted 15 Dec 2004, Published online: 08 Aug 2006

Citations (20)

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Elimhan N. Mahmudov. (2015) Transversality condition and optimization of higher order ordinary differential inclusions. Optimization 64:10, pages 2131-2144.
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Articles from other publishers (19)

Adil Bagirov, Najmeh Hoseini-Monjezi & Sona Taheri. (2023) A novel optimization approach towards improving separability of clusters. Computers & Operations Research 152, pages 106135.
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Rudolf Scitovski, Kristian Sabo, Francisco Martínez-Álvarez & Šime UngarRudolf Scitovski, Kristian Sabo, Francisco Martínez-Álvarez & Šime Ungar. 2021. Cluster Analysis and Applications. Cluster Analysis and Applications 147 166 .
Rudolf Scitovski, Kristian Sabo, Francisco Martínez-Álvarez & Šime UngarRudolf Scitovski, Kristian Sabo, Francisco Martínez-Álvarez & Šime Ungar. 2021. Cluster Analysis and Applications. Cluster Analysis and Applications 65 100 .
Adil M. Bagirov, Napsu Karmitsa & Sona TaheriAdil M. Bagirov, Napsu Karmitsa & Sona Taheri. 2020. Partitional Clustering via Nonsmooth Optimization. Partitional Clustering via Nonsmooth Optimization 201 223 .
Napsu Karmitsa, Adil M. Bagirov & Sona Taheri. (2018) Clustering in large data sets with the limited memory bundle method. Pattern Recognition 83, pages 245-259.
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Napsu Karmitsa, Adil M. Bagirov & Sona Taheri. (2017) New diagonal bundle method for clustering problems in large data sets. European Journal of Operational Research 263:2, pages 367-379.
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Rudolf Scitovski. (2017) A new global optimization method for a symmetric Lipschitz continuous function and the application to searching for a globally optimal partition of a one-dimensional set. Journal of Global Optimization 68:4, pages 713-727.
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Adil M. Bagirov, Sona Taheri & Julien Ugon. (2016) Nonsmooth DC programming approach to the minimum sum-of-squares clustering problems. Pattern Recognition 53, pages 12-24.
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A. M. Bagirov, B. Ordin, G. Ozturk & A. E. Xavier. (2014) An incremental clustering algorithm based on hyperbolic smoothing. Computational Optimization and Applications 61:1, pages 219-241.
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Burak Ordin & Adil M. Bagirov. (2014) A heuristic algorithm for solving the minimum sum-of-squares clustering problems. Journal of Global Optimization 61:2, pages 341-361.
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Rudolf Scitovski & Tomislav Marošević. (2015) Multiple circle detection based on center-based clustering. Pattern Recognition Letters 52, pages 9-16.
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Ivan Vidović & Rudolf Scitovski. (2014) Center-based clustering for line detection and application to crop rows detection. Computers and Electronics in Agriculture 109, pages 212-220.
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Rudolf Scitovski & Kristian Sabo. (2014) Analysis of the k-means algorithm in the case of data points occurring on the border of two or more clusters. Knowledge-Based Systems 57, pages 1-7.
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Rudolf Scitovski & Sanja Scitovski. (2013) A fast partitioning algorithm and its application to earthquake investigation. Computers & Geosciences 59, pages 124-131.
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Adil Bagirov. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 2664 2671 .
Adil Bagirov. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 648 655 .
A.M. Rubinov, N.V. Soukhorokova & J. Ugon. (2006) Classes and clusters in data analysis. European Journal of Operational Research 173:3, pages 849-865.
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Adil M. Bagirov & Julien Ugon. (2006) Piecewise Partially Separable Functions and a Derivative-free Algorithm for Large Scale Nonsmooth Optimization. Journal of Global Optimization 35:2, pages 163-195.
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Adil Bagirov, Najmeh Hoseini Monjezi & Sona Taheri. (2022) A Novel Optimization Approach Towards Improving Compactness and Separability of Clusters. SSRN Electronic Journal.
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