Baraldi, Robert J.; Kouri, Drew P. A proximal trust-region method for nonsmooth optimization with inexact function and gradient evaluations. (English) Zbl 1522.90113 Math. Program. 201, No. 1-2 (A), 559-598 (2023). MSC: 90C26 65K05 65K10 90C06 90C30 PDFBibTeX XMLCite \textit{R. J. Baraldi} and \textit{D. P. Kouri}, Math. Program. 201, No. 1--2 (A), 559--598 (2023; Zbl 1522.90113) Full Text: DOI
Bagirov, Adil; Hoseini-Monjezi, Najmeh; Taheri, Sona A novel optimization approach towards improving separability of clusters. (English) Zbl 07706555 Comput. Oper. Res. 152, Article ID 106135, 13 p. (2023). MSC: 90Bxx PDFBibTeX XMLCite \textit{A. Bagirov} et al., Comput. Oper. Res. 152, Article ID 106135, 13 p. (2023; Zbl 07706555) Full Text: DOI
Krejić, Nataša; Krklec Jerinkić, Nataša; Ostojić, Tijana Spectral projected subgradient method for nonsmooth convex optimization problems. (English) Zbl 07676521 Numer. Algorithms 93, No. 1, 347-365 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{N. Krejić} et al., Numer. Algorithms 93, No. 1, 347--365 (2023; Zbl 07676521) Full Text: DOI arXiv
Krejić, Nataša; Krklec Jerinkić, Nataša; Ostojić, Tijana An inexact restoration-nonsmooth algorithm with variable accuracy for stochastic nonsmooth convex optimization problems in machine learning and stochastic linear complementarity problems. (English) Zbl 1524.90292 J. Comput. Appl. Math. 423, Article ID 114943, 13 p. (2023). MSC: 90C30 65K05 90C15 90C25 65K10 90C33 PDFBibTeX XMLCite \textit{N. Krejić} et al., J. Comput. Appl. Math. 423, Article ID 114943, 13 p. (2023; Zbl 1524.90292) Full Text: DOI arXiv
Themelis, Andreas; Stella, Lorenzo; Patrinos, Panagiotis Douglas-Rachford splitting and ADMM for nonconvex optimization: accelerated and Newton-type linesearch algorithms. (English) Zbl 1489.90061 Comput. Optim. Appl. 82, No. 2, 395-440 (2022). MSC: 90C06 90C25 90C26 49J52 49J53 PDFBibTeX XMLCite \textit{A. Themelis} et al., Comput. Optim. Appl. 82, No. 2, 395--440 (2022; Zbl 1489.90061) Full Text: DOI arXiv
Bagirov, Adil M.; Taheri, Sona; Cimen, Emre Incremental DC optimization algorithm for large-scale clusterwise linear regression. (English) Zbl 1460.62108 J. Comput. Appl. Math. 389, Article ID 113323, 18 p. (2021). MSC: 62J05 62H30 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., J. Comput. Appl. Math. 389, Article ID 113323, 18 p. (2021; Zbl 1460.62108) Full Text: DOI
Ordin, Burak; Bagirov, Adil; Mohebi, Ehsan An incremental nonsmooth optimization algorithm for clustering using \(L_1\) and \(L_\infty\) norms. (English) Zbl 1476.90367 J. Ind. Manag. Optim. 16, No. 6, 2757-2779 (2020). MSC: 90C90 90C26 62H30 PDFBibTeX XMLCite \textit{B. Ordin} et al., J. Ind. Manag. Optim. 16, No. 6, 2757--2779 (2020; Zbl 1476.90367) Full Text: DOI
Brauer, Christoph; Lorenz, Dirk A. Complexity and applications of the homotopy principle for uniformly constrained sparse minimization. (English) Zbl 1468.65070 Appl. Math. Optim. 82, No. 3, 983-1016 (2020). MSC: 65K05 65C20 62H30 90C05 90C25 PDFBibTeX XMLCite \textit{C. Brauer} and \textit{D. A. Lorenz}, Appl. Math. Optim. 82, No. 3, 983--1016 (2020; Zbl 1468.65070) Full Text: DOI
Liu, Changshuo; Boumal, Nicolas Simple algorithms for optimization on Riemannian manifolds with constraints. (English) Zbl 1468.65072 Appl. Math. Optim. 82, No. 3, 949-981 (2020). MSC: 65K05 90C30 53A99 PDFBibTeX XMLCite \textit{C. Liu} and \textit{N. Boumal}, Appl. Math. Optim. 82, No. 3, 949--981 (2020; Zbl 1468.65072) Full Text: DOI arXiv
Joki, Kaisa; Bagirov, Adil M.; Karmitsa, Napsu; Mäkelä, Marko M.; Taheri, Sona Clusterwise support vector linear regression. (English) Zbl 1443.90281 Eur. J. Oper. Res. 287, No. 1, 19-35 (2020). MSC: 90C26 49J52 62J05 62H30 65K05 PDFBibTeX XMLCite \textit{K. Joki} et al., Eur. J. Oper. Res. 287, No. 1, 19--35 (2020; Zbl 1443.90281) Full Text: DOI
Bagirov, Adil; Taheri, Sona; Asadi, Soodabeh A difference of convex optimization algorithm for piecewise linear regression. (English) Zbl 1438.65121 J. Ind. Manag. Optim. 15, No. 2, 909-932 (2019). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{A. Bagirov} et al., J. Ind. Manag. Optim. 15, No. 2, 909--932 (2019; Zbl 1438.65121) Full Text: DOI
Bagirov, A. M.; Ugon, J. Nonsmooth DC programming approach to clusterwise linear regression: optimality conditions and algorithms. (English) Zbl 1390.90436 Optim. Methods Softw. 33, No. 1, 194-219 (2018). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{A. M. Bagirov} and \textit{J. Ugon}, Optim. Methods Softw. 33, No. 1, 194--219 (2018; Zbl 1390.90436) Full Text: DOI
Bagirov, Adil M.; Taheri, Sona DC programming algorithm for clusterwise linear \(L_1\) regression. (English) Zbl 1390.90437 J. Oper. Res. Soc. China 5, No. 2, 233-256 (2017). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{A. M. Bagirov} and \textit{S. Taheri}, J. Oper. Res. Soc. China 5, No. 2, 233--256 (2017; Zbl 1390.90437) Full Text: DOI
Karmitsa, Napsu; Bagirov, Adil M.; Taheri, Sona New diagonal bundle method for clustering problems in large data sets. (English) Zbl 1380.90226 Eur. J. Oper. Res. 263, No. 2, 367-379 (2017). MSC: 90C26 62H30 90C90 90C56 PDFBibTeX XMLCite \textit{N. Karmitsa} et al., Eur. J. Oper. Res. 263, No. 2, 367--379 (2017; Zbl 1380.90226) Full Text: DOI
Grigor’eva, Xeniya Vladimirovna Approximate functions in a problem of sets separation. (English) Zbl 1353.49018 J. Optim. Theory Appl. 171, No. 2, 550-572 (2016). MSC: 49J52 49M30 49K21 62J20 68T10 PDFBibTeX XMLCite \textit{X. V. Grigor'eva}, J. Optim. Theory Appl. 171, No. 2, 550--572 (2016; Zbl 1353.49018) Full Text: DOI
Gaudioso, M.; Gruzdeva, T. V.; Strekalovsky, A. S. On numerical solving the spherical separability problem. (English) Zbl 1379.90027 J. Glob. Optim. 66, No. 1, 21-34 (2016). MSC: 90C26 PDFBibTeX XMLCite \textit{M. Gaudioso} et al., J. Glob. Optim. 66, No. 1, 21--34 (2016; Zbl 1379.90027) Full Text: DOI
Ozturk, Gurkan; Bagirov, Adil M.; Kasimbeyli, Refail An incremental piecewise linear classifier based on polyhedral conic separation. (English) Zbl 1343.62037 Mach. Learn. 101, No. 1-3, 397-413 (2015). MSC: 62H30 90C26 90C56 PDFBibTeX XMLCite \textit{G. Ozturk} et al., Mach. Learn. 101, No. 1--3, 397--413 (2015; Zbl 1343.62037) Full Text: DOI
Bagirov, Adil M.; Ugon, Julien; Mirzayeva, Hijran G. Nonsmooth optimization algorithm for solving clusterwise linear regression problems. (English) Zbl 1311.65067 J. Optim. Theory Appl. 164, No. 3, 755-780 (2015). MSC: 65K05 62J05 90C25 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., J. Optim. Theory Appl. 164, No. 3, 755--780 (2015; Zbl 1311.65067) Full Text: DOI
Bagirov, A. M.; Ordin, B.; Ozturk, G.; Xavier, A. E. An incremental clustering algorithm based on hyperbolic smoothing. (English) Zbl 1309.90098 Comput. Optim. Appl. 61, No. 1, 219-241 (2015). MSC: 90C30 65K05 62H30 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Comput. Optim. Appl. 61, No. 1, 219--241 (2015; Zbl 1309.90098) Full Text: DOI
Ordin, Burak; Bagirov, Adil A heuristic algorithm for solving the minimum sum-of-squares clustering problems. (English) Zbl 1311.90111 J. Glob. Optim. 61, No. 2, 341-361 (2015). MSC: 90C26 PDFBibTeX XMLCite \textit{B. Ordin} and \textit{A. Bagirov}, J. Glob. Optim. 61, No. 2, 341--361 (2015; Zbl 1311.90111) Full Text: DOI
Bagirov, Adil M.; Ugon, Julien; Mirzayeva, Hijran G. An algorithm for clusterwise linear regression based on smoothing techniques. (English) Zbl 1311.90106 Optim. Lett. 9, No. 2, 375-390 (2015). MSC: 90C26 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Optim. Lett. 9, No. 2, 375--390 (2015; Zbl 1311.90106) Full Text: DOI
Bagirov, Adil M.; Ugon, Julien; Webb, Dean; Ozturk, Gurkan; Kasimbeyli, Refail A novel piecewise linear classifier based on polyhedral conic and max-min separabilities. (English) Zbl 1263.65051 Top 21, No. 1, 3-24 (2013). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Top 21, No. 1, 3--24 (2013; Zbl 1263.65051) Full Text: DOI
Audet, Charles; Le Digabel, Sébastien The mesh adaptive direct search algorithm for periodic variables. (English) Zbl 1264.90157 Pac. J. Optim. 8, No. 1, 103-119 (2012). MSC: 90C30 90C56 49J52 49N20 PDFBibTeX XMLCite \textit{C. Audet} and \textit{S. Le Digabel}, Pac. J. Optim. 8, No. 1, 103--119 (2012; Zbl 1264.90157) Full Text: Link
Bagirov, Adil M.; Ugon, Julien; Webb, Dean Fast modified global \(k\)-means algorithm for incremental cluster construction. (English) Zbl 1213.68514 Pattern Recognition 44, No. 4, 866-876 (2011). MSC: 68T10 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Pattern Recognition 44, No. 4, 866--876 (2011; Zbl 1213.68514) Full Text: DOI
Bagirov, Adil M. Modified global \(k\)-means algorithm for minimum sum-of-squares clustering problems. (English) Zbl 1147.68669 Pattern Recognition 41, No. 10, 3192-3199 (2008). MSC: 68T10 68W05 PDFBibTeX XMLCite \textit{A. M. Bagirov}, Pattern Recognition 41, No. 10, 3192--3199 (2008; Zbl 1147.68669) Full Text: DOI Link
Ferreira, Leonardo V.; Kaszkurewicz, Eugenius; Bhaya, Amit Support vector classifiers via gradient systems with discontinuous righthand sides. (English) Zbl 1178.68408 Neural Netw. 19, No. 10, 1612-1623 (2006). MSC: 68T05 PDFBibTeX XMLCite \textit{L. V. Ferreira} et al., Neural Netw. 19, No. 10, 1612--1623 (2006; Zbl 1178.68408) Full Text: DOI
Bagirov, Adil M.; Yearwood, John A new nonsmooth optimization algorithm for minimum sum-of-squares clustering problems. (English) Zbl 1085.90045 Eur. J. Oper. Res. 170, No. 2, 578-596 (2006). MSC: 90C26 62H30 PDFBibTeX XMLCite \textit{A. M. Bagirov} and \textit{J. Yearwood}, Eur. J. Oper. Res. 170, No. 2, 578--596 (2006; Zbl 1085.90045) Full Text: DOI
Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J. [Abbass, H. A.; Babayev, D. A.; Demyanov, V. F.; Gaudioso, M.; Kokorina, A. V.] Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder). (English) Zbl 1048.65059 Top 11, No. 1, 1-93 (2003). MSC: 65K05 90C52 90C26 90C90 90C30 62H30 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Top 11, No. 1, 1--93 (2003; Zbl 1048.65059) Full Text: DOI