Ma, Xiaoxiao; Yao, Wei; Ye, Jane J.; Zhang, Jin Combined approach with second-order optimality conditions for bilevel programming problems. (English) Zbl 1522.90136 J. Convex Anal. 30, No. 4, 1173-1201 (2023). MSC: 90C26 90C30 90C31 90C33 90C46 49J52 91A65 PDFBibTeX XMLCite \textit{X. Ma} et al., J. Convex Anal. 30, No. 4, 1173--1201 (2023; Zbl 1522.90136) Full Text: arXiv Link
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin Difference of convex algorithms for bilevel programs with applications in hyperparameter selection. (English) Zbl 1515.90110 Math. Program. 198, No. 2 (B), 1583-1616 (2023). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{J. J. Ye} et al., Math. Program. 198, No. 2 (B), 1583--1616 (2023; Zbl 1515.90110) Full Text: DOI arXiv
Bai, Kuang; Ye, Jane J. Directional necessary optimality conditions for bilevel programs. (English) Zbl 1489.90180 Math. Oper. Res. 47, No. 2, 1169-1191 (2022). MSC: 90C30 49J52 90C26 90C31 90C46 PDFBibTeX XMLCite \textit{K. Bai} and \textit{J. J. Ye}, Math. Oper. Res. 47, No. 2, 1169--1191 (2022; Zbl 1489.90180) Full Text: DOI arXiv
Ke, Rongzhu; Yao, Wei; Ye, Jane J.; Zhang, Jin Generic property of the partial calmness condition for bilevel programming problems. (English) Zbl 1491.90129 SIAM J. Optim. 32, No. 2, 604-634 (2022). MSC: 90C26 90C31 90C33 90C46 49J52 91A65 PDFBibTeX XMLCite \textit{R. Ke} et al., SIAM J. Optim. 32, No. 2, 604--634 (2022; Zbl 1491.90129) Full Text: DOI arXiv
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin Variational analysis perspective on linear convergence of some first order methods for nonsmooth convex optimization problems. (English) Zbl 1484.90082 Set-Valued Var. Anal. 29, No. 4, 803-837 (2021). MSC: 90C25 90C52 49J52 49J53 PDFBibTeX XMLCite \textit{J. J. Ye} et al., Set-Valued Var. Anal. 29, No. 4, 803--837 (2021; Zbl 1484.90082) Full Text: DOI
Nie, Jiawang; Wang, Li; Ye, Jane J.; Zhong, Suhan A Lagrange multiplier expression method for bilevel polynomial optimization. (English) Zbl 1509.65052 SIAM J. Optim. 31, No. 3, 2368-2395 (2021). MSC: 65K05 90C22 90C26 90C34 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 31, No. 3, 2368--2395 (2021; Zbl 1509.65052) Full Text: DOI arXiv
Ye, Jane J. Constraint qualifications and optimality conditions in bilevel optimization. (English) Zbl 1484.90119 Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 227-251 (2020). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{J. J. Ye}, Springer Optim. Appl. 161, 227--251 (2020; Zbl 1484.90119) Full Text: DOI arXiv
Xu, Mengwei; Ye, Jane J. Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs. (English) Zbl 1447.49031 J. Glob. Optim. 78, No. 1, 181-205 (2020). MSC: 49J52 90C31 90C33 PDFBibTeX XMLCite \textit{M. Xu} and \textit{J. J. Ye}, J. Glob. Optim. 78, No. 1, 181--205 (2020; Zbl 1447.49031) Full Text: DOI arXiv
Nie, Jiawang; Wang, Li; Ye, Jane J. Bilevel polynomial programs and semidefinite relaxation methods. (English) Zbl 1371.65058 SIAM J. Optim. 27, No. 3, 1728-1757 (2017). MSC: 65K05 90C22 90C26 90C34 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 27, No. 3, 1728--1757 (2017; Zbl 1371.65058) Full Text: DOI arXiv
Xu, Mengwei; Ye, Jane J.; Zhang, Liwei Smoothing SQP methods for solving degenerate nonsmooth constrained optimization problems with applications to bilevel programs. (English) Zbl 1317.65148 SIAM J. Optim. 25, No. 3, 1388-1410 (2015). MSC: 65K10 90C26 90C30 PDFBibTeX XMLCite \textit{M. Xu} et al., SIAM J. Optim. 25, No. 3, 1388--1410 (2015; Zbl 1317.65148) Full Text: DOI arXiv
Xu, Mengwei; Ye, Jane J. A smoothing augmented Lagrangian method for solving simple bilevel programs. (English) Zbl 1326.90068 Comput. Optim. Appl. 59, No. 1-2, 353-377 (2014). MSC: 90C26 PDFBibTeX XMLCite \textit{M. Xu} and \textit{J. J. Ye}, Comput. Optim. Appl. 59, No. 1--2, 353--377 (2014; Zbl 1326.90068) Full Text: DOI
Lin, Gui-Hua; Xu, Mengwei; Ye, Jane J. On solving simple bilevel programs with a nonconvex lower level program. (English) Zbl 1301.65050 Math. Program. 144, No. 1-2 (A), 277-305 (2014). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C26 90C25 PDFBibTeX XMLCite \textit{G.-H. Lin} et al., Math. Program. 144, No. 1--2 (A), 277--305 (2014; Zbl 1301.65050) Full Text: DOI