Xie, Xiaofeng; Zhang, Jixin; Luo, Yuxuan; Gu, Jing; Li, Yunfei Enterprise credit risk portrait and evaluation from the perspective of the supply chain. (English) Zbl 07816781 Int. Trans. Oper. Res. 31, No. 4, 2765-2795 (2024). MSC: 90-XX PDFBibTeX XMLCite \textit{X. Xie} et al., Int. Trans. Oper. Res. 31, No. 4, 2765--2795 (2024; Zbl 07816781) Full Text: DOI
Kanzow, Christian; Neder, Tanja A bundle-type method for nonsmooth DC programs. (English) Zbl 07805319 J. Glob. Optim. 88, No. 2, 285-326 (2024). MSC: 90Cxx PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{T. Neder}, J. Glob. Optim. 88, No. 2, 285--326 (2024; Zbl 07805319) Full Text: DOI OA License
Chembu, Aravinth; Sanner, Scott; Khalil, Elias B. Scalable and near-optimal \(\varepsilon\)-tube clusterwise regression. (English) Zbl 07745665 Cire, Andre A. (ed.), Integration of constraint programming, artificial intelligence, and operations research. 20th international conference, CPAIOR 2023, Nice, France, May 29 – June 1, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13884, 254-263 (2023). MSC: 68T20 90Bxx 90C27 PDFBibTeX XMLCite \textit{A. Chembu} et al., Lect. Notes Comput. Sci. 13884, 254--263 (2023; Zbl 07745665) Full Text: DOI
Donnelly, Jon; Stechlinski, Peter Analyzing the influence of agents in trust networks: applying nonsmooth eigensensitivity theory to a graph centrality problem. (English) Zbl 07737639 SIAM J. Matrix Anal. Appl. 44, No. 3, 1271-1298 (2023). MSC: 05C82 15A18 47A55 68M10 90B10 PDFBibTeX XMLCite \textit{J. Donnelly} and \textit{P. Stechlinski}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1271--1298 (2023; Zbl 07737639) Full Text: DOI
Hoseini Monjezi, N.; Nobakhtian, S. New proximal bundle algorithm based on the gradient sampling method for nonsmooth nonconvex optimization with exact and inexact information. (English) Zbl 1523.65050 Numer. Algorithms 94, No. 2, 765-787 (2023). MSC: 65K05 90C26 90C56 49J52 PDFBibTeX XMLCite \textit{N. Hoseini Monjezi} and \textit{S. Nobakhtian}, Numer. Algorithms 94, No. 2, 765--787 (2023; Zbl 1523.65050) Full Text: DOI
Dolgopolik, M. V. Steering exact penalty DCA for nonsmooth DC optimisation problems with equality and inequality constraints. (English) Zbl 1522.90122 Optim. Methods Softw. 38, No. 4, 668-697 (2023). MSC: 90C26 90C30 90C56 65K05 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Optim. Methods Softw. 38, No. 4, 668--697 (2023; Zbl 1522.90122) Full Text: DOI arXiv
Abbasov, Majid E. Directional differentiability, coexhausters, codifferentials and polyhedral DC functions. (English) Zbl 07721307 Taiwanese J. Math. 27, No. 3, 611-627 (2023). MSC: 49J52 90C26 90C46 PDFBibTeX XMLCite \textit{M. E. Abbasov}, Taiwanese J. Math. 27, No. 3, 611--627 (2023; Zbl 07721307) Full Text: DOI arXiv
Dolgopolik, M. V. DC semidefinite programming and cone constrained DC optimization. II: Local search methods. (English) Zbl 1522.90076 Comput. Optim. Appl. 85, No. 3, 993-1031 (2023). MSC: 90C22 90C26 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Comput. Optim. Appl. 85, No. 3, 993--1031 (2023; Zbl 1522.90076) 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
Astorino, Annabella; Avolio, Matteo; Canino, Annamaria; Crupi, Teresa; Fuduli, Antonio Partitional clustering via successive transportation problems. (English) Zbl 1525.68108 Oper. Res. Lett. 51, No. 1, 40-46 (2023). MSC: 68T05 62H30 90C90 PDFBibTeX XMLCite \textit{A. Astorino} et al., Oper. Res. Lett. 51, No. 1, 40--46 (2023; Zbl 1525.68108) Full Text: DOI
Warwicker, John Alasdair; Rebennack, Steffen A unified framework for bivariate clustering and regression problems via mixed-integer linear programming. (English) Zbl 1519.90131 Discrete Appl. Math. 336, 15-36 (2023). MSC: 90C11 90C05 90C27 PDFBibTeX XMLCite \textit{J. A. Warwicker} and \textit{S. Rebennack}, Discrete Appl. Math. 336, 15--36 (2023; Zbl 1519.90131) Full Text: DOI
Hoseini Monjezi, Najmeh A bundle trust region algorithm for minimizing locally Lipschitz functions. (English) Zbl 1516.90063 SIAM J. Optim. 33, No. 1, 319-337 (2023). MSC: 90C26 49J52 65K05 PDFBibTeX XMLCite \textit{N. Hoseini Monjezi}, SIAM J. Optim. 33, No. 1, 319--337 (2023; Zbl 1516.90063) Full Text: DOI
Bagirov, Adil M.; Taheri, Sona; Karmitsa, Napsu; Sultanova, Nargiz; Asadi, Soodabeh Robust piecewise linear \(L_1\)-regression via nonsmooth DC optimization. (English) Zbl 1517.65046 Optim. Methods Softw. 37, No. 4, 1289-1309 (2022). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Optim. Methods Softw. 37, No. 4, 1289--1309 (2022; Zbl 1517.65046) Full Text: DOI
Kuchlbauer, Martina; Liers, Frauke; Stingl, Michael Outer approximation for mixed-integer nonlinear robust optimization. (English) Zbl 1507.90115 J. Optim. Theory Appl. 195, No. 3, 1056-1086 (2022). MSC: 90C17 90C30 90C11 90C47 90C35 PDFBibTeX XMLCite \textit{M. Kuchlbauer} et al., J. Optim. Theory Appl. 195, No. 3, 1056--1086 (2022; Zbl 1507.90115) Full Text: DOI
Tang, Chunming; Li, Yanni; Jian, Jinbao; Zheng, Haiyan A new restricted memory level bundle method for constrained convex nonsmooth optimization. (English) Zbl 1503.90095 Optim. Lett. 16, No. 8, 2405-2434 (2022). MSC: 90C25 PDFBibTeX XMLCite \textit{C. Tang} et al., Optim. Lett. 16, No. 8, 2405--2434 (2022; Zbl 1503.90095) Full Text: DOI
Yilmaz, Nurullah; Sahiner, Ahmet Generalization of hyperbolic smoothing approach for non-smooth and non-Lipschitz functions. (English) Zbl 1513.65193 J. Ind. Manag. Optim. 18, No. 6, 4511-4526 (2022). MSC: 65K05 90C30 94A08 PDFBibTeX XMLCite \textit{N. Yilmaz} and \textit{A. Sahiner}, J. Ind. Manag. Optim. 18, No. 6, 4511--4526 (2022; Zbl 1513.65193) Full Text: DOI
Fita, Adugna; Geremew, Wondi; Lemecha, Legesse A DC optimization approach for constrained clustering with \(\ell_1\)-norm. (English) Zbl 1497.49021 Palest. J. Math. 11, No. 3, 337-347 (2022). MSC: 49J52 49J53 90C31 90C26 PDFBibTeX XMLCite \textit{A. Fita} et al., Palest. J. Math. 11, No. 3, 337--347 (2022; Zbl 1497.49021) Full Text: Link
Piccialli, Veronica; Sudoso, Antonio M.; Wiegele, Angelika SOS-SDP: an exact solver for minimum sum-of-squares clustering. (English) Zbl 07587562 INFORMS J. Comput. 34, No. 4, 2144-2162 (2022). MSC: 90Cxx PDFBibTeX XMLCite \textit{V. Piccialli} et al., INFORMS J. Comput. 34, No. 4, 2144--2162 (2022; Zbl 07587562) Full Text: DOI arXiv
Gaudioso, Manlio; Giallombardo, Giovanni; Miglionico, Giovanna Essentials of numerical nonsmooth optimization. (English) Zbl 1496.90094 Ann. Oper. Res. 314, No. 1, 213-253 (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{M. Gaudioso} et al., Ann. Oper. Res. 314, No. 1, 213--253 (2022; Zbl 1496.90094) Full Text: DOI
Dolgopolik, M. V. DC semidefinite programming and cone constrained DC optimization. I: Theory. (English) Zbl 1489.90106 Comput. Optim. Appl. 82, No. 3, 649-671 (2022). MSC: 90C22 90C26 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Comput. Optim. Appl. 82, No. 3, 649--671 (2022; Zbl 1489.90106) Full Text: DOI arXiv
Mashkoorzadeh, F.; Movahedian, N.; Nobakhtian, S. The DTC (difference of tangentially convex functions) programming: optimality conditions. (English) Zbl 1489.90139 Top 30, No. 2, 270-295 (2022). MSC: 90C26 90C30 49J52 90C46 PDFBibTeX XMLCite \textit{F. Mashkoorzadeh} et al., Top 30, No. 2, 270--295 (2022; Zbl 1489.90139) Full Text: DOI
Monjezi, N. Hoseini; Nobakhtian, S. Convergence of the proximal bundle algorithm for nonsmooth nonconvex optimization problems. (English) Zbl 1492.90139 Optim. Lett. 16, No. 5, 1495-1511 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{N. H. Monjezi} and \textit{S. Nobakhtian}, Optim. Lett. 16, No. 5, 1495--1511 (2022; Zbl 1492.90139) Full Text: DOI
Hoseini Monjezi, N.; Nobakhtian, S. A proximal bundle-based algorithm for nonsmooth constrained multiobjective optimization problems with inexact data. (English) Zbl 1483.90152 Numer. Algorithms 89, No. 2, 637-674 (2022). MSC: 90C29 90C26 49J52 PDFBibTeX XMLCite \textit{N. Hoseini Monjezi} and \textit{S. Nobakhtian}, Numer. Algorithms 89, No. 2, 637--674 (2022; Zbl 1483.90152) Full Text: DOI
Liang, Xijun; Zhang, Zhipeng; Song, Yunquan; Jian, Ling Kernel-based online regression with canal loss. (English) Zbl 1487.62035 Eur. J. Oper. Res. 297, No. 1, 268-279 (2022). MSC: 62G08 62H30 68T05 90C25 90C26 PDFBibTeX XMLCite \textit{X. Liang} et al., Eur. J. Oper. Res. 297, No. 1, 268--279 (2022; Zbl 1487.62035) Full Text: DOI
Gruzdeva, Tatiana V.; Ushakov, Anton V. A computational study of the DC minimization global optimality conditions applied to \(k\)-means clustering. (English) Zbl 1520.62088 Olenev, Nicholas N. (ed.) et al., Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13078, 79-93 (2021). MSC: 62H30 90C26 90C90 PDFBibTeX XMLCite \textit{T. V. Gruzdeva} and \textit{A. V. Ushakov}, Lect. Notes Comput. Sci. 13078, 79--93 (2021; Zbl 1520.62088) Full Text: DOI
Gruzdeva, Tatiana V.; Ushakov, Anton V. K-means clustering via a nonconvex optimization approach. (English) Zbl 1489.90135 Pardalos, Panos (ed.) et al., Mathematical optimization theory and operations research. 20th international conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12755, 462-476 (2021). MSC: 90C26 90C27 PDFBibTeX XMLCite \textit{T. V. Gruzdeva} and \textit{A. V. Ushakov}, Lect. Notes Comput. Sci. 12755, 462--476 (2021; Zbl 1489.90135) Full Text: DOI
Bagirov, A. M.; Hoseini Monjezi, N.; Taheri, S. An augmented subgradient method for minimizing nonsmooth DC functions. (English) Zbl 1478.90094 Comput. Optim. Appl. 80, No. 2, 411-438 (2021). MSC: 90C26 49J52 65K05 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Comput. Optim. Appl. 80, No. 2, 411--438 (2021; Zbl 1478.90094) Full Text: DOI
Yu, Peiran; Pong, Ting Kei; Lu, Zhaosong Convergence rate analysis of a sequential convex programming method with line search for a class of constrained difference-of-convex optimization problems. (English) Zbl 1527.90184 SIAM J. Optim. 31, No. 3, 2024-2054 (2021). MSC: 90C26 90C06 90C20 65K05 PDFBibTeX XMLCite \textit{P. Yu} et al., SIAM J. Optim. 31, No. 3, 2024--2054 (2021; Zbl 1527.90184) Full Text: DOI arXiv
Gambella, Claudio; Ghaddar, Bissan; Naoum-Sawaya, Joe Optimization problems for machine learning: a survey. (English) Zbl 1487.90004 Eur. J. Oper. Res. 290, No. 3, 807-828 (2021). MSC: 90-08 68T05 68T07 62H30 90-02 PDFBibTeX XMLCite \textit{C. Gambella} et al., Eur. J. Oper. Res. 290, No. 3, 807--828 (2021; Zbl 1487.90004) Full Text: DOI arXiv
van Ackooij, W.; Demassey, S.; Javal, P.; Morais, H.; de Oliveira, W.; Swaminathan, B. A bundle method for nonsmooth DC programming with application to chance-constrained problems. (English) Zbl 1469.90115 Comput. Optim. Appl. 78, No. 2, 451-490 (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{W. van Ackooij} et al., Comput. Optim. Appl. 78, No. 2, 451--490 (2021; Zbl 1469.90115) Full Text: DOI
Bagirov, Adil M.; Taheri, Sona; Joki, Kaisa; Karmitsa, Napsu; Mäkelä, Marko M. Aggregate subgradient method for nonsmooth DC optimization. (English) Zbl 1460.90140 Optim. Lett. 15, No. 1, 83-96 (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{A. M. Bagirov} et al., Optim. Lett. 15, No. 1, 83--96 (2021; Zbl 1460.90140) Full Text: DOI
Ho, Vinh Thanh; Le Thi, Hoai An; Pham Dinh, Tao DCA-based algorithms for DC fitting. (English) Zbl 1459.90163 J. Comput. Appl. Math. 389, Article ID 113353, 14 p. (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{V. T. Ho} et al., J. Comput. Appl. Math. 389, Article ID 113353, 14 p. (2021; Zbl 1459.90163) Full Text: DOI
de Oliveira, Welington The ABC of DC programming. (English) Zbl 1467.90037 Set-Valued Var. Anal. 28, No. 4, 679-706 (2020). MSC: 90C26 26B25 PDFBibTeX XMLCite \textit{W. de Oliveira}, Set-Valued Var. Anal. 28, No. 4, 679--706 (2020; Zbl 1467.90037) Full Text: DOI
de Oliveira, Welington Sequential difference-of-convex programming. (English) Zbl 1450.90033 J. Optim. Theory Appl. 186, No. 3, 936-959 (2020). MSC: 90C26 49J52 49J53 PDFBibTeX XMLCite \textit{W. de Oliveira}, J. Optim. Theory Appl. 186, No. 3, 936--959 (2020; Zbl 1450.90033) Full Text: DOI
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
Hare, Warren; Planiden, Chayne; Sagastizábal, Claudia A derivative-free \(\mathcal{V} \mathcal{U}\)-algorithm for convex finite-max problems. (English) Zbl 1443.90331 Optim. Methods Softw. 35, No. 3, 521-559 (2020). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 90C56 65K10 90C20 PDFBibTeX XMLCite \textit{W. Hare} et al., Optim. Methods Softw. 35, No. 3, 521--559 (2020; Zbl 1443.90331) Full Text: DOI arXiv
Artacho, F. J. Aragón; Campoy, R.; Vuong, P. T. Using positive spanning sets to achieve d-stationarity with the boosted DC algorithm. (English) Zbl 1435.65091 Vietnam J. Math. 48, No. 2, 363-376 (2020); correction ibid. 48, No. 2, 377 (2020). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{F. J. A. Artacho} et al., Vietnam J. Math. 48, No. 2, 363--376 (2020; Zbl 1435.65091) Full Text: DOI arXiv
Gaudioso, Manlio; Giallombardo, Giovanni; Miglionico, Giovanna Essentials of numerical nonsmooth optimization. (English) Zbl 1442.90143 4OR 18, No. 1, 1-47 (2020). MSC: 90C25 65K05 PDFBibTeX XMLCite \textit{M. Gaudioso} et al., 4OR 18, No. 1, 1--47 (2020; Zbl 1442.90143) Full Text: DOI
Dolgopolik, M. V. New global optimality conditions for nonsmooth DC optimization problems. (English) Zbl 1436.90110 J. Glob. Optim. 76, No. 1, 25-55 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, J. Glob. Optim. 76, No. 1, 25--55 (2020; Zbl 1436.90110) Full Text: DOI arXiv
de Oliveira, Welington Proximal bundle methods for nonsmooth DC programming. (English) Zbl 1428.90130 J. Glob. Optim. 75, No. 2, 523-563 (2019). MSC: 90C26 PDFBibTeX XMLCite \textit{W. de Oliveira}, J. Glob. Optim. 75, No. 2, 523--563 (2019; Zbl 1428.90130) 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
Thi, Hoai An Le; Ho, Vinh Thanh; Dinh, Tao Pham A unified DC programming framework and efficient DCA based approaches for large scale batch reinforcement learning. (English) Zbl 1434.90159 J. Glob. Optim. 73, No. 2, 279-310 (2019). Reviewer: Anna Jaskiewicz (Wrocław) MSC: 90C26 90C40 PDFBibTeX XMLCite \textit{H. A. Le Thi} et al., J. Glob. Optim. 73, No. 2, 279--310 (2019; Zbl 1434.90159) Full Text: DOI
Karmitsa, N.; Gaudioso, M.; Joki, K. Diagonal bundle method with convex and concave updates for large-scale nonconvex and nonsmooth optimization. (English) Zbl 1407.65063 Optim. Methods Softw. 34, No. 2, 363-382 (2019). MSC: 65K05 90C26 90C06 90C53 PDFBibTeX XMLCite \textit{N. Karmitsa} et al., Optim. Methods Softw. 34, No. 2, 363--382 (2019; Zbl 1407.65063) Full Text: DOI
Montonen, Outi; Joki, Kaisa Bundle-based descent method for nonsmooth multiobjective DC optimization with inequality constraints. (English) Zbl 1414.90317 J. Glob. Optim. 72, No. 3, 403-429 (2018). MSC: 90C29 90C26 65K05 PDFBibTeX XMLCite \textit{O. Montonen} and \textit{K. Joki}, J. Glob. Optim. 72, No. 3, 403--429 (2018; Zbl 1414.90317) Full Text: DOI
Gaudioso, Manlio; Giallombardo, Giovanni; Miglionico, Giovanna; Bagirov, Adil M. Minimizing nonsmooth DC functions via successive DC piecewise-affine approximations. (English) Zbl 1418.90201 J. Glob. Optim. 71, No. 1, 37-55 (2018). MSC: 90C26 65K05 PDFBibTeX XMLCite \textit{M. Gaudioso} et al., J. Glob. Optim. 71, No. 1, 37--55 (2018; Zbl 1418.90201) Full Text: DOI
Nam, N. M.; Geremew, W.; Reynolds, S.; Tran, T. Nesterov’s smoothing technique and minimizing differences of convex functions for hierarchical clustering. (English) Zbl 1418.90203 Optim. Lett. 12, No. 3, 455-473 (2018). MSC: 90C26 PDFBibTeX XMLCite \textit{N. M. Nam} et al., Optim. Lett. 12, No. 3, 455--473 (2018; Zbl 1418.90203) Full Text: DOI arXiv Link
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
Duan, Peichao; Song, Miaomiao General viscosity iterative approximation for solving unconstrained convex optimization problems. (English) Zbl 1338.47089 J. Inequal. Appl. 2015, Paper No. 334, 11 p. (2015). MSC: 47J25 90C48 PDFBibTeX XMLCite \textit{P. Duan} and \textit{M. Song}, J. Inequal. Appl. 2015, Paper No. 334, 11 p. (2015; Zbl 1338.47089) Full Text: DOI