Dai, Yu-Hong An overview of nonlinear optimization. (English) Zbl 07822594 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5290-5313 (2023). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5290--5313 (2023; Zbl 07822594) Full Text: DOI OA License
Yu, Teng-Teng; Liu, Xin-Wei; Dai, Yu-Hong; Sun, Jie A mini-batch proximal stochastic recursive gradient algorithm with diagonal Barzilai-Borwein stepsize. (English) Zbl 1524.90222 J. Oper. Res. Soc. China 11, No. 2, 277-307 (2023). MSC: 90C06 90C30 90C90 90C25 PDFBibTeX XMLCite \textit{T.-T. Yu} et al., J. Oper. Res. Soc. China 11, No. 2, 277--307 (2023; Zbl 1524.90222) Full Text: DOI
Cheng, Wanyou; Dai, Yu-Hong An active set Newton-CG method for \(\ell_1\) optimization. (English) Zbl 1462.90071 Appl. Comput. Harmon. Anal. 50, 303-325 (2021). MSC: 90C06 90C25 65Y20 94A08 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{Y.-H. Dai}, Appl. Comput. Harmon. Anal. 50, 303--325 (2021; Zbl 1462.90071) Full Text: DOI
Yu, Tengteng; Liu, Xin-Wei; Dai, Yu-Hong; Sun, Jie Stochastic variance reduced gradient methods using a trust-region-like scheme. (English) Zbl 1461.90071 J. Sci. Comput. 87, No. 1, Paper No. 5, 24 p. (2021). MSC: 90C06 90C30 90C90 90C25 PDFBibTeX XMLCite \textit{T. Yu} et al., J. Sci. Comput. 87, No. 1, Paper No. 5, 24 p. (2021; Zbl 1461.90071) Full Text: DOI
Peng, Wei; Dai, Yu-Hong; Zhang, Hui; Cheng, Lizhi Training GANs with centripetal acceleration. (English) Zbl 1464.90060 Optim. Methods Softw. 35, No. 5, 955-973 (2020). MSC: 90C25 90C06 90C30 PDFBibTeX XMLCite \textit{W. Peng} et al., Optim. Methods Softw. 35, No. 5, 955--973 (2020; Zbl 1464.90060) Full Text: DOI arXiv
Liu, Zexian; Liu, Hongwei; Dai, Yu-Hong An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1433.90126 Comput. Optim. Appl. 75, No. 1, 145-167 (2020). MSC: 90C26 65K10 90C53 90C06 65Y20 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Optim. Appl. 75, No. 1, 145--167 (2020; Zbl 1433.90126) Full Text: DOI
Burdakov, Oleg; Dai, Yuhong; Huang, Na Stabilized Barzilai-Borwein method. (English) Zbl 1463.65135 J. Comput. Math. 37, No. 6, 916-936 (2019). MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{O. Burdakov} et al., J. Comput. Math. 37, No. 6, 916--936 (2019; Zbl 1463.65135) Full Text: DOI arXiv
Cheng, Wanyou; Dai, Yu-Hong Gradient-based method with active set strategy for \(\ell _1\) optimization. (English) Zbl 1392.90079 Math. Comput. 87, No. 311, 1283-1305 (2018). MSC: 90C06 90C25 65Y20 94A08 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{Y.-H. Dai}, Math. Comput. 87, No. 311, 1283--1305 (2018; Zbl 1392.90079) Full Text: DOI
Dai, Yu-Hong; Yamashita, Nobuo Analysis of sparse quasi-Newton updates with positive definite matrix completion. (English) Zbl 1307.65087 J. Oper. Res. Soc. China 2, No. 1, 39-56 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C53 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{N. Yamashita}, J. Oper. Res. Soc. China 2, No. 1, 39--56 (2014; Zbl 1307.65087) Full Text: DOI
Jiang, Bo; Cui, Chunfeng; Dai, Yu-Hong Unconstrained optimization models for computing several extreme eigenpairs of real symmetric matrices. (English) Zbl 1291.65122 Pac. J. Optim. 10, No. 1, 55-71 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65F15 65K05 90C06 90C20 PDFBibTeX XMLCite \textit{B. Jiang} et al., Pac. J. Optim. 10, No. 1, 55--71 (2014; Zbl 1291.65122) Full Text: Link
Dai, Yu-Hong; Yamashita, Nobuo Convergence analysis of sparse quasi-Newton updates with positive definite matrix completion for two-dimensional functions. (English) Zbl 1219.90188 Numer. Algebra Control Optim. 1, No. 1, 61-69 (2011). MSC: 90C53 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{N. Yamashita}, Numer. Algebra Control Optim. 1, No. 1, 61--69 (2011; Zbl 1219.90188) Full Text: DOI
Zhou, Bin; Gao, Li; Dai, Yuhong Monotone projected gradient methods for large-scale box-constrained quadratic programming. (English) Zbl 1112.90056 Sci. China, Ser. A 49, No. 5, 688-702 (2006). MSC: 90C20 PDFBibTeX XMLCite \textit{B. Zhou} et al., Sci. China, Ser. A 49, No. 5, 688--702 (2006; Zbl 1112.90056) Full Text: DOI
Dai, Yu-Hong Fast algorithms for projection on an ellipsoid. (English) Zbl 1105.65064 SIAM J. Optim. 16, No. 4, 986-1006 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C06 90C25 PDFBibTeX XMLCite \textit{Y.-H. Dai}, SIAM J. Optim. 16, No. 4, 986--1006 (2006; Zbl 1105.65064) Full Text: DOI
Dai, Yuhong; Yuan, Yaxiang Analysis of monotone gradient methods. (English) Zbl 1071.65084 J. Ind. Manag. Optim. 1, No. 2, 181-192 (2005). MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{Y. Dai} and \textit{Y. Yuan}, J. Ind. Manag. Optim. 1, No. 2, 181--192 (2005; Zbl 1071.65084) Full Text: DOI
Dai, Yu-Hong; Fletcher, Roger Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. (English) Zbl 1068.65073 Numer. Math. 100, No. 1, 21-47 (2005). MSC: 65K05 90C20 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{R. Fletcher}, Numer. Math. 100, No. 1, 21--47 (2005; Zbl 1068.65073) Full Text: DOI
Dai, Yu-Hong; Martínez, José Mario; Yuan, Jin-Yun An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches. (English) Zbl 1071.65039 Numer. Linear Algebra Appl. 10, No. 4, 323-334 (2003). Reviewer: Jiří Starý (Ostrava) MSC: 65F10 65N22 PDFBibTeX XMLCite \textit{Y.-H. Dai} et al., Numer. Linear Algebra Appl. 10, No. 4, 323--334 (2003; Zbl 1071.65039) Full Text: DOI
Dai, Yuhong; Ni, Qin Testing different conjugate gradient methods for large-scale unconstrained optimization. (English) Zbl 1041.65048 J. Comput. Math. 21, No. 3, 311-320 (2003). MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{Y. Dai} and \textit{Q. Ni}, J. Comput. Math. 21, No. 3, 311--320 (2003; Zbl 1041.65048)
Dai, Yu-Hong; Zhang, Hongchao Adaptive two-point stepsize gradient algorithm. (English) Zbl 0992.65063 Numer. Algorithms 27, No. 4, 377-385 (2001). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{H. Zhang}, Numer. Algorithms 27, No. 4, 377--385 (2001; Zbl 0992.65063) Full Text: DOI