Milz, Johannes; Ulbrich, Michael Sample size estimates for risk-neutral semilinear PDE-constrained optimization. (English) Zbl 07817041 SIAM J. Optim. 34, No. 1, 844-869 (2024). MSC: 90C15 90C30 90C60 49J20 49J55 49K45 49K20 35J61 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 34, No. 1, 844--869 (2024; Zbl 07817041) Full Text: DOI arXiv
Yao, Yonghong; Adamu, Abubakar; Shehu, Yekini Strongly convergent inertial forward-backward-forward algorithm without on-line rule for variational inequalities. (English) Zbl 07815358 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 551-566 (2024). MSC: 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{Y. Yao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 551--566 (2024; Zbl 07815358) Full Text: DOI
Yang, Chong; Duan, Fujian; Li, Xiangli A wide neighbourhood primal-dual second-order corrector interior point algorithm for semidefinite optimization. (English) Zbl 07814982 Optimization 73, No. 3, 875-895 (2024). MSC: 90Cxx 49-XX PDFBibTeX XMLCite \textit{C. Yang} et al., Optimization 73, No. 3, 875--895 (2024; Zbl 07814982) Full Text: DOI
Jolaoso, Lateef O.; Shehu, Yekini; Yao, Jen-Chih Strongly convergent inertial proximal point algorithm without on-line rule. (English) Zbl 07802200 J. Optim. Theory Appl. 200, No. 2, 555-584 (2024). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{L. O. Jolaoso} et al., J. Optim. Theory Appl. 200, No. 2, 555--584 (2024; Zbl 07802200) Full Text: DOI
Han, Jiequn; Hu, Ruimeng; Long, Jihao Learning high-dimensional McKean-Vlasov forward-backward stochastic differential equations with general distribution dependence. (English) Zbl 07794520 SIAM J. Numer. Anal. 62, No. 1, 1-24 (2024). MSC: 60H35 68T07 65M99 93E20 49N80 68Q25 PDFBibTeX XMLCite \textit{J. Han} et al., SIAM J. Numer. Anal. 62, No. 1, 1--24 (2024; Zbl 07794520) Full Text: DOI arXiv
Bueno, L. F.; Larreal, F.; Martínez, J. M. Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints. (English) Zbl 1522.90195 Math. Comput. 93, No. 345, 293-326 (2024). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{L. F. Bueno} et al., Math. Comput. 93, No. 345, 293--326 (2024; Zbl 1522.90195) Full Text: DOI arXiv
Lewis, Adrian S.; Lopez-Acedo, Genaro; Nicolae, Adriana Horoballs and the subgradient method. arXiv:2403.15749 Preprint, arXiv:2403.15749 [math.OC] (2024). MSC: 90C48 65Y20 49M29 BibTeX Cite \textit{A. S. Lewis} et al., ``Horoballs and the subgradient method'', Preprint, arXiv:2403.15749 [math.OC] (2024) Full Text: arXiv OA License
Li, Danlin; Milz, Johannes Criticality measure-based error estimates for infinite dimensional optimization. arXiv:2402.15948 Preprint, arXiv:2402.15948 [math.OC] (2024). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 BibTeX Cite \textit{D. Li} and \textit{J. Milz}, ``Criticality measure-based error estimates for infinite dimensional optimization'', Preprint, arXiv:2402.15948 [math.OC] (2024) Full Text: arXiv OA License
Kerimkulov, Bekzhan; Šiška, David; Szpruch, Łukasz; Zhang, Yufei Mirror Descent for Stochastic Control Problems with Measure-valued Controls. arXiv:2401.01198 Preprint, arXiv:2401.01198 [math.OC] (2024). MSC: 93E20 49M05 68Q25 60H30 BibTeX Cite \textit{B. Kerimkulov} et al., ``Mirror Descent for Stochastic Control Problems with Measure-valued Controls'', Preprint, arXiv:2401.01198 [math.OC] (2024) Full Text: arXiv OA License
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. The evaluation complexity of finding high-order minimizers of nonconvex optimization. (English) Zbl 07822593 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). 5256-5289 (2023). MSC: 90C60 90C26 90C30 49M15 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., 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). 5256--5289 (2023; Zbl 07822593) Full Text: DOI OA License
Lin, Tianyi; Jordan, Michael I. Monotone inclusions, acceleration, and closed-loop control. (English) Zbl 07811865 Math. Oper. Res. 48, No. 4, 2353-2382 (2023). MSC: 37N40 90C25 90C60 49M37 68Q25 PDFBibTeX XMLCite \textit{T. Lin} and \textit{M. I. Jordan}, Math. Oper. Res. 48, No. 4, 2353--2382 (2023; Zbl 07811865) Full Text: DOI arXiv
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. Iteration complexity of a proximal augmented Lagrangian method for solving nonconvex composite optimization problems with nonlinear convex constraints. (English) Zbl 07808978 Math. Oper. Res. 48, No. 2, 1066-1094 (2023). MSC: 90C26 90C30 90C60 65K05 65K10 68Q25 65Y20 49M05 49M37 PDFBibTeX XMLCite \textit{W. Kong} et al., Math. Oper. Res. 48, No. 2, 1066--1094 (2023; Zbl 07808978) Full Text: DOI arXiv
Milz, Johannes Reliable error estimates for optimal control of linear elliptic PDEs with random inputs. (English) Zbl 07787060 SIAM/ASA J. Uncertain. Quantif. 11, 1139-1163 (2023). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 PDFBibTeX XMLCite \textit{J. Milz}, SIAM/ASA J. Uncertain. Quantif. 11, 1139--1163 (2023; Zbl 07787060) Full Text: DOI arXiv
Tam, Matthew K.; Uteda, Daniel J. Bregman-Golden ratio algorithms for variational inequalities. (English) Zbl 07785182 J. Optim. Theory Appl. 199, No. 3, 993-1021 (2023). MSC: 47J20 49J40 65K15 65Y20 PDFBibTeX XMLCite \textit{M. K. Tam} and \textit{D. J. Uteda}, J. Optim. Theory Appl. 199, No. 3, 993--1021 (2023; Zbl 07785182) Full Text: DOI arXiv OA License
Reisinger, Christoph; Stockinger, Wolfgang; Zhang, Yufei Linear convergence of a policy gradient method for some finite horizon continuous time control problems. (English) Zbl 07782638 SIAM J. Control Optim. 61, No. 6, 3526-3558 (2023). MSC: 68Q25 93E20 49M05 PDFBibTeX XMLCite \textit{C. Reisinger} et al., SIAM J. Control Optim. 61, No. 6, 3526--3558 (2023; Zbl 07782638) Full Text: DOI arXiv
Gratton, S.; Jerad, S.; Toint, Ph. L. An adaptive regularization method in Banach spaces. (English) Zbl 1528.49022 Optim. Methods Softw. 38, No. 6, 1163-1179 (2023). MSC: 49K27 49M37 49M05 49M20 90C48 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 38, No. 6, 1163--1179 (2023; Zbl 1528.49022) Full Text: DOI
Liu, Bowen; Wang, Kaizhi; Xiao, Dongmei; Yu, Zhan On connection among quantum-inspired algorithms of the Ising model. (English) Zbl 07772410 Commun. Math. Sci. 21, No. 7, 2013-2028 (2023). MSC: 82B20 58E05 68Q12 68Q17 49J21 60J65 PDFBibTeX XMLCite \textit{B. Liu} et al., Commun. Math. Sci. 21, No. 7, 2013--2028 (2023; Zbl 07772410) Full Text: DOI
Tsaknakis, Ioannis; Hong, Mingyi; Zhang, Shuzhong Minimax problems with coupled linear constraints: computational complexity and duality. (English) Zbl 1523.49028 SIAM J. Optim. 33, No. 4, 2675-2702 (2023). MSC: 49K35 65K05 90C47 49N15 PDFBibTeX XMLCite \textit{I. Tsaknakis} et al., SIAM J. Optim. 33, No. 4, 2675--2702 (2023; Zbl 1523.49028) Full Text: DOI arXiv
Lu, Zhaosong; Mei, Sanyou Accelerated first-order methods for convex optimization with locally Lipschitz continuous gradient. (English) Zbl 1522.90101 SIAM J. Optim. 33, No. 3, 2275-2310 (2023). MSC: 90C25 90C30 90C46 49M37 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{S. Mei}, SIAM J. Optim. 33, No. 3, 2275--2310 (2023; Zbl 1522.90101) Full Text: DOI arXiv
Adona, Vando A.; Gonçalves, Max L. N. An inexact version of the symmetric proximal ADMM for solving separable convex optimization. (English) Zbl 07730420 Numer. Algorithms 94, No. 1, 1-28 (2023). MSC: 65-XX 47H05 49M27 90C25 90C60 65K10 PDFBibTeX XMLCite \textit{V. A. Adona} and \textit{M. L. N. Gonçalves}, Numer. Algorithms 94, No. 1, 1--28 (2023; Zbl 07730420) Full Text: DOI arXiv
Bai, Yatong; Gautam, Tanmay; Sojoudi, Somayeh Efficient global optimization of two-layer ReLU networks: quadratic-time algorithms and adversarial training. (English) Zbl 07726189 SIAM J. Math. Data Sci. 5, No. 2, 446-474 (2023). MSC: 68Q25 82C32 49M29 46N10 62M45 PDFBibTeX XMLCite \textit{Y. Bai} et al., SIAM J. Math. Data Sci. 5, No. 2, 446--474 (2023; Zbl 07726189) Full Text: DOI arXiv
Lan, Guanghui; Ouyang, Yuyuan; Zhou, Yi Graph topology invariant gradient and sampling complexity for decentralized and stochastic optimization. (English) Zbl 1522.90099 SIAM J. Optim. 33, No. 3, 1647-1675 (2023). MSC: 90C25 90C06 49M37 93A14 90C15 PDFBibTeX XMLCite \textit{G. Lan} et al., SIAM J. Optim. 33, No. 3, 1647--1675 (2023; Zbl 1522.90099) Full Text: DOI arXiv
Gratton, Serge; Jerad, Sadok; Toint, Philippe L. Convergence properties of an objective-function-free optimization regularization algorithm, including an \(\mathcal{O}(\epsilon^{-3/2})\) complexity bound. (English) Zbl 1522.90200 SIAM J. Optim. 33, No. 3, 1621-1646 (2023). MSC: 90C30 90C60 49M05 65K05 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 3, 1621--1646 (2023; Zbl 1522.90200) Full Text: DOI arXiv
Lan, Guanghui; Zhang, Zhe Optimal methods for convex risk-averse distributed optimization. (English) Zbl 1522.90100 SIAM J. Optim. 33, No. 3, 1518-1557 (2023). MSC: 90C25 90C15 68W15 49M27 49M29 PDFBibTeX XMLCite \textit{G. Lan} and \textit{Z. Zhang}, SIAM J. Optim. 33, No. 3, 1518--1557 (2023; Zbl 1522.90100) Full Text: DOI arXiv
Junkin, William; Ben-Awuah, Eugene Determining characteristic fractured volumes in DFN models using fracture intensity variability analysis. (English) Zbl 1519.49029 GEM. Int. J. Geomath. 14, Paper No. 17, 17 p. (2023). MSC: 49Q12 68Q06 74L10 PDFBibTeX XMLCite \textit{W. Junkin} and \textit{E. Ben-Awuah}, GEM. Int. J. Geomath. 14, Paper No. 17, 17 p. (2023; Zbl 1519.49029) Full Text: DOI
Liang, Jiaming; Monteiro, Renato D. C. Average curvature FISTA for nonconvex smooth composite optimization problems. (English) Zbl 1522.90133 Comput. Optim. Appl. 86, No. 1, 275-302 (2023). MSC: 90C26 90C30 49M05 49M37 65K05 68Q25 PDFBibTeX XMLCite \textit{J. Liang} and \textit{R. D. C. Monteiro}, Comput. Optim. Appl. 86, No. 1, 275--302 (2023; Zbl 1522.90133) Full Text: DOI arXiv
He, Chuan; Lu, Zhaosong A Newton-CG based barrier method for finding a second-order stationary point of nonconvex conic optimization with complexity guarantees. (English) Zbl 1518.49036 SIAM J. Optim. 33, No. 2, 1191-1222 (2023). MSC: 49M05 49M15 65F10 90C06 90C60 PDFBibTeX XMLCite \textit{C. He} and \textit{Z. Lu}, SIAM J. Optim. 33, No. 2, 1191--1222 (2023; Zbl 1518.49036) Full Text: DOI arXiv
Lu, Zhaosong; Zhou, Zirui Iteration-complexity of first-order augmented Lagrangian methods for convex conic programming. (English) Zbl 1519.90175 SIAM J. Optim. 33, No. 2, 1159-1190 (2023). MSC: 90C25 90C30 90C46 49M37 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{Z. Zhou}, SIAM J. Optim. 33, No. 2, 1159--1190 (2023; Zbl 1519.90175) Full Text: DOI arXiv
Wang, Cailu; Xia, Yuanqing; Li, Zhiwu; Tao, Yuegang Approximately global optimal control for max-plus linear systems and its application on load distribution. (English) Zbl 1519.93098 Int. J. Control 96, No. 5, 1104-1115 (2023). MSC: 93C05 15A80 49J05 PDFBibTeX XMLCite \textit{C. Wang} et al., Int. J. Control 96, No. 5, 1104--1115 (2023; Zbl 1519.93098) Full Text: DOI
Wang, Jiani; Wang, Xiao; Zhang, Liwei Stochastic regularized Newton methods for nonlinear equations. (English) Zbl 1519.90141 J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023). MSC: 90C15 49M37 65K10 90C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023; Zbl 1519.90141) Full Text: DOI
Izuchukwu, Chinedu; Shehu, Yekini; Dong, Qiao-Li Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities. (English) Zbl 1512.90168 J. Comput. Appl. Math. 426, Article ID 115093, 14 p. (2023). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{C. Izuchukwu} et al., J. Comput. Appl. Math. 426, Article ID 115093, 14 p. (2023; Zbl 1512.90168) Full Text: DOI
Schluck, Jonathan; Murta, Gláucia; Kampermann, Hermann; Bruß, Dagmar; Wyderka, Nikolai Continuity of robustness measures in quantum resource theories. (English) Zbl 1523.81028 J. Phys. A, Math. Theor. 56, No. 25, Article ID 255303, 19 p. (2023). MSC: 81P43 52A55 90C17 91B32 49K30 26B05 81P40 81R30 81P48 68Q12 81-08 PDFBibTeX XMLCite \textit{J. Schluck} et al., J. Phys. A, Math. Theor. 56, No. 25, Article ID 255303, 19 p. (2023; Zbl 1523.81028) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa Fast augmented Lagrangian method in the convex regime with convergence guarantees for the iterates. (English) Zbl 1519.37068 Math. Program. 200, No. 1 (A), 147-197 (2023). MSC: 37J51 37M99 49K15 49M29 65K05 68Q25 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Math. Program. 200, No. 1 (A), 147--197 (2023; Zbl 1519.37068) Full Text: DOI arXiv
Zinnatullin, I. Cryptographic properties of the quantum hashing based on expander graphs. (English) Zbl 1523.81062 Lobachevskii J. Math. 44, No. 2, 776-787 (2023). MSC: 81P94 49M27 05C48 05C81 68Q12 68P25 PDFBibTeX XMLCite \textit{I. Zinnatullin}, Lobachevskii J. Math. 44, No. 2, 776--787 (2023; Zbl 1523.81062) Full Text: DOI
Izuchukwu, Chinedu; Shehu, Yekini; Okeke, Chibueze C. Extension of forward-reflected-backward method to non-convex mixed variational inequalities. (English) Zbl 1518.90116 J. Glob. Optim. 86, No. 1, 123-140 (2023). MSC: 90C33 90C25 90C60 68Q25 49M25 PDFBibTeX XMLCite \textit{C. Izuchukwu} et al., J. Glob. Optim. 86, No. 1, 123--140 (2023; Zbl 1518.90116) Full Text: DOI
Bello-Cruz, Yunier; Gonçalves, Max L. N.; Krislock, Nathan On FISTA with a relative error rule. (English) Zbl 1516.90046 Comput. Optim. Appl. 84, No. 2, 295-318 (2023). MSC: 90C25 47H05 47J22 49M27 PDFBibTeX XMLCite \textit{Y. Bello-Cruz} et al., Comput. Optim. Appl. 84, No. 2, 295--318 (2023; Zbl 1516.90046) Full Text: DOI
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function. (English) Zbl 07669688 SIAM J. Optim. 33, No. 1, 181-210 (2023). MSC: 47J22 49M27 90C25 90C26 90C30 90C60 65K10 PDFBibTeX XMLCite \textit{W. Kong} et al., SIAM J. Optim. 33, No. 1, 181--210 (2023; Zbl 07669688) Full Text: DOI arXiv
Leconte, Geoffroy; Orban, Dominique Complexity of trust-region methods with unbounded Hessian approximations for smooth and nonsmooth optimization. arXiv:2312.15151 Preprint, arXiv:2312.15151 [math.OC] (2023). MSC: 65Y20 49J52 65K05 90C56 BibTeX Cite \textit{G. Leconte} and \textit{D. Orban}, ``Complexity of trust-region methods with unbounded Hessian approximations for smooth and nonsmooth optimization'', Preprint, arXiv:2312.15151 [math.OC] (2023) Full Text: DOI arXiv OA License
Alves, M. Marques; Svaiter, Benar F. A search-free \(O(1/k^{3/2})\) homotopy inexact proximal-Newton extragradient algorithm for monotone variational inequalities. arXiv:2308.05887 Preprint, arXiv:2308.05887 [math.OC] (2023). MSC: 49M15 90C06 68Q25 47N10 BibTeX Cite \textit{M. M. Alves} and \textit{B. F. Svaiter}, ``A search-free $O(1/k^{3/2})$ homotopy inexact proximal-Newton extragradient algorithm for monotone variational inequalities'', Preprint, arXiv:2308.05887 [math.OC] (2023) Full Text: arXiv OA License
Lewis, Adrian S.; Tian, Tonghua The complexity of first-order optimization methods from a metric perspective. arXiv:2305.03208 Preprint, arXiv:2305.03208 [math.OC] (2023). MSC: 90C48 49J52 65Y20 14P10 BibTeX Cite \textit{A. S. Lewis} and \textit{T. Tian}, ``The complexity of first-order optimization methods from a metric perspective'', Preprint, arXiv:2305.03208 [math.OC] (2023) Full Text: arXiv OA License
Gower, Robert; Lorenz, Dirk A.; Winkler, Maximilian A Bregman-Kaczmarz method for nonlinear systems of equations. arXiv:2303.08549 Preprint, arXiv:2303.08549 [math.OC] (2023). MSC: 49M15 90C53 65Y20 BibTeX Cite \textit{R. Gower} et al., ``A Bregman-Kaczmarz method for nonlinear systems of equations'', Preprint, arXiv:2303.08549 [math.OC] (2023) Full Text: DOI arXiv OA License
Bousselmi, Nizar; Hendrickx, Julien M.; Glineur, François Interpolation Conditions for Linear Operators and Applications to Performance Estimation Problems. arXiv:2302.08781 Preprint, arXiv:2302.08781 [math.OC] (2023). MSC: 90C25 90C20 68Q25 90C22 49M29 BibTeX Cite \textit{N. Bousselmi} et al., ``Interpolation Conditions for Linear Operators and Applications to Performance Estimation Problems'', Preprint, arXiv:2302.08781 [math.OC] (2023) Full Text: arXiv OA License
Dai, Yutong; Wang, Guanyi; Curtis, Frank E.; Robinson, Daniel P. A Variance-Reduced and Stabilized Proximal Stochastic Gradient Method with Support Identification Guarantees for Structured Optimization. arXiv:2302.06790 Preprint, arXiv:2302.06790 [math.OC] (2023). MSC: 49M29 49M37 65K05 65K10 65Y20 68Q25 90C30 90C60 BibTeX Cite \textit{Y. Dai} et al., ``A Variance-Reduced and Stabilized Proximal Stochastic Gradient Method with Support Identification Guarantees for Structured Optimization'', Preprint, arXiv:2302.06790 [math.OC] (2023) Full Text: arXiv OA License
He, Chuan; Huang, Heng; Lu, Zhaosong A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization. arXiv:2301.04204 Preprint, arXiv:2301.04204 [math.OC] (2023). MSC: 49M05 49M15 68Q25 90C26 90C30 90C60 BibTeX Cite \textit{C. He} et al., ``A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization'', Preprint, arXiv:2301.04204 [math.OC] (2023) Full Text: arXiv OA License
Lampariello, Lorenzo; Priori, Gianluca; Sagratella, Simone On nested affine variational inequalities: the case of multi-portfolio selection. (English) Zbl 1528.91068 Amorosi, Lavinia (ed.) et al., Optimization in artificial intelligence and data sciences. ODS, first hybrid conference, Rome, Italy, September 14–17, 2021. Cham: Springer. AIRO Springer Ser. 8, 27-36 (2022). MSC: 91G10 49J40 PDFBibTeX XMLCite \textit{L. Lampariello} et al., AIRO Springer Ser. 8, 27--36 (2022; Zbl 1528.91068) Full Text: DOI
Zhanlav, T.; Chun, Changbum; Otgondorj, Kh. Construction and dynamics of efficient high-order methods for nonlinear systems. (English) Zbl 07714916 Int. J. Comput. Methods 19, No. 9, Article ID 2250020, 31 p. (2022). MSC: 65H10 65Y20 49M15 PDFBibTeX XMLCite \textit{T. Zhanlav} et al., Int. J. Comput. Methods 19, No. 9, Article ID 2250020, 31 p. (2022; Zbl 07714916) Full Text: DOI
Balasubramanian, Krishnakumar; Ghadimi, Saeed Zeroth-order nonconvex stochastic optimization: handling constraints, high dimensionality, and saddle points. (English) Zbl 1516.90056 Found. Comput. Math. 22, No. 1, 35-76 (2022). MSC: 90C26 90C15 90C56 49M15 65K05 PDFBibTeX XMLCite \textit{K. Balasubramanian} and \textit{S. Ghadimi}, Found. Comput. Math. 22, No. 1, 35--76 (2022; Zbl 1516.90056) Full Text: DOI arXiv
Chambolle, Antonin; Contreras, Juan Pablo Accelerated Bregman primal-dual methods applied to optimal transport and Wasserstein Barycenter problems. (English) Zbl 1514.65079 SIAM J. Math. Data Sci. 4, No. 4, 1369-1395 (2022). MSC: 65K99 65Y20 49Q22 90C05 90C06 90C08 90C47 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{J. P. Contreras}, SIAM J. Math. Data Sci. 4, No. 4, 1369--1395 (2022; Zbl 1514.65079) Full Text: DOI arXiv
Agrawal, Shiv; Kim, Hwanwoo; Sanz-Alonso, Danie; Strang, Alexander A variational inference approach to inverse problems with gamma hyperpriors. (English) Zbl 1514.35425 SIAM/ASA J. Uncertain. Quantif. 10, 1533-1559 (2022). Reviewer: Daniela Cialfi (Pescara) MSC: 35Q62 62F15 35R30 35B65 35B50 68Q25 49K20 PDFBibTeX XMLCite \textit{S. Agrawal} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1533--1559 (2022; Zbl 1514.35425) Full Text: DOI arXiv
Zhang, Shixuan; Sun, Xu Andy Stochastic dual dynamic programming for multistage stochastic mixed-integer nonlinear optimization. (English) Zbl 1506.90185 Math. Program. 196, No. 1-2 (B), 935-985 (2022). MSC: 90C15 90C11 90C30 90C60 90C39 49N15 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{X. A. Sun}, Math. Program. 196, No. 1--2 (B), 935--985 (2022; Zbl 1506.90185) Full Text: DOI arXiv
Bolusani, Suresh; Ralphs, Ted K. A framework for generalized Benders’ decomposition and its application to multilevel optimization. (English) Zbl 1506.90165 Math. Program. 196, No. 1-2 (B), 389-426 (2022). MSC: 90C11 49N15 90C26 91A68 PDFBibTeX XMLCite \textit{S. Bolusani} and \textit{T. K. Ralphs}, Math. Program. 196, No. 1--2 (B), 389--426 (2022; Zbl 1506.90165) Full Text: DOI arXiv
Amaral, V. S.; Andreani, R.; Birgin, E. G.; Marcondes, D. S.; Martínez, J. M. On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization. (English) Zbl 1504.90147 J. Glob. Optim. 84, No. 3, 527-561 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{V. S. Amaral} et al., J. Glob. Optim. 84, No. 3, 527--561 (2022; Zbl 1504.90147) Full Text: DOI arXiv
Lin, Tianyi; Jordan, Michael I. A control-theoretic perspective on optimal high-order optimization. (English) Zbl 1506.90205 Math. Program. 195, No. 1-2 (A), 929-975 (2022). MSC: 90C25 90C60 49M37 68Q25 PDFBibTeX XMLCite \textit{T. Lin} and \textit{M. I. Jordan}, Math. Program. 195, No. 1--2 (A), 929--975 (2022; Zbl 1506.90205) Full Text: DOI arXiv
Bellavia, S.; Fabrizi, E.; Morini, B. Linesearch Newton-CG methods for convex optimization with noise. (English) Zbl 1500.65022 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 483-504 (2022). MSC: 65K05 49M15 90C25 90C30 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 483--504 (2022; Zbl 1500.65022) Full Text: DOI arXiv
Adam, L.; Mácha, V. Projections onto the canonical simplex with additional linear inequalities. (English) Zbl 1501.90062 Optim. Methods Softw. 37, No. 2, 451-479 (2022). MSC: 90C20 90C17 49M05 65K10 49K10 PDFBibTeX XMLCite \textit{L. Adam} and \textit{V. Mácha}, Optim. Methods Softw. 37, No. 2, 451--479 (2022; Zbl 1501.90062) Full Text: DOI arXiv
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. On the complexity of solving feasibility problems with regularized models. (English) Zbl 1501.90092 Optim. Methods Softw. 37, No. 2, 405-424 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Methods Softw. 37, No. 2, 405--424 (2022; Zbl 1501.90092) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Block coordinate descent for smooth nonconvex constrained minimization. (English) Zbl 1496.90092 Comput. Optim. Appl. 83, No. 1, 1-27 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 83, No. 1, 1--27 (2022; Zbl 1496.90092) Full Text: DOI arXiv
Maingé, Paul-Emile Fast convergence of generalized forward-backward algorithms for structured monotone inclusions. (English) Zbl 1496.90058 J. Convex Anal. 29, No. 3, 893-920 (2022). MSC: 90C25 90C30 90C60 68Q25 49M25 PDFBibTeX XMLCite \textit{P.-E. Maingé}, J. Convex Anal. 29, No. 3, 893--920 (2022; Zbl 1496.90058) Full Text: arXiv Link
Becker, Roland; Innerberger, Michael; Praetorius, Dirk Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. (English) Zbl 1514.65161 SIAM J. Numer. Anal. 60, No. 3, 1450-1471 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N15 65N12 41A25 49N10 65Y20 PDFBibTeX XMLCite \textit{R. Becker} et al., SIAM J. Numer. Anal. 60, No. 3, 1450--1471 (2022; Zbl 1514.65161) Full Text: DOI arXiv
Karimi, Mehdi; Tunçel, Levent Status determination by interior-point methods for convex optimization problems in domain-driven form. (English) Zbl 1494.90079 Math. Program. 194, No. 1-2 (A), 937-974 (2022). MSC: 90C25 90C51 49N15 65Y20 PDFBibTeX XMLCite \textit{M. Karimi} and \textit{L. Tunçel}, Math. Program. 194, No. 1--2 (A), 937--974 (2022; Zbl 1494.90079) Full Text: DOI arXiv
Garmanjani, R. A note on the worst-case complexity of nonlinear stepsize control methods for convex smooth unconstrained optimization. (English) Zbl 1489.90182 Optimization 71, No. 6, 1709-1719 (2022). MSC: 90C30 65K05 49M37 90C25 PDFBibTeX XMLCite \textit{R. Garmanjani}, Optimization 71, No. 6, 1709--1719 (2022; Zbl 1489.90182) Full Text: DOI
Lan, Guanghui; Ouyang, Yuyuan Accelerated gradient sliding for structured convex optimization. (English) Zbl 1489.90121 Comput. Optim. Appl. 82, No. 2, 361-394 (2022). MSC: 90C25 90C06 49M37 PDFBibTeX XMLCite \textit{G. Lan} and \textit{Y. Ouyang}, Comput. Optim. Appl. 82, No. 2, 361--394 (2022; Zbl 1489.90121) Full Text: DOI arXiv
Yang, Xiaoqi; Zu, Chenchen Convergence of inexact quasisubgradient methods with extrapolation. (English) Zbl 1495.65085 J. Optim. Theory Appl. 193, No. 1-3, 676-703 (2022). MSC: 65K05 90C26 49M37 PDFBibTeX XMLCite \textit{X. Yang} and \textit{C. Zu}, J. Optim. Theory Appl. 193, No. 1--3, 676--703 (2022; Zbl 1495.65085) Full Text: DOI
Zhao, Lei; Zhu, Dao-Li On iteration complexity of a first-order primal-dual method for nonlinear convex cone programming. (English) Zbl 1499.49087 J. Oper. Res. Soc. China 10, No. 1, 53-87 (2022). MSC: 49M27 68Q25 90C25 90C30 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{D.-L. Zhu}, J. Oper. Res. Soc. China 10, No. 1, 53--87 (2022; Zbl 1499.49087) Full Text: DOI
Bergou, El Houcine; Diouane, Youssef; Kungurtsev, Vyacheslav; Royer, Clément W. A stochastic Levenberg-Marquardt method using random models with complexity results. (English) Zbl 1487.49035 SIAM/ASA J. Uncertain. Quantif. 10, 507-536 (2022). MSC: 49M05 90C56 90C60 PDFBibTeX XMLCite \textit{E. H. Bergou} et al., SIAM/ASA J. Uncertain. Quantif. 10, 507--536 (2022; Zbl 1487.49035) Full Text: DOI arXiv
Balasubramanian, Krishnakumar; Ghadimi, Saeed; Nguyen, Anthony Stochastic multilevel composition optimization algorithms with level-independent convergence rates. (English) Zbl 1491.90155 SIAM J. Optim. 32, No. 2, 519-544 (2022). MSC: 90C30 90C26 90C15 49M37 PDFBibTeX XMLCite \textit{K. Balasubramanian} et al., SIAM J. Optim. 32, No. 2, 519--544 (2022; Zbl 1491.90155) Full Text: DOI arXiv
Hu, Yaohua; Li, Gongnong; Yu, Carisa Kwok Wai; Yip, Tsz Leung Quasi-convex feasibility problems: subgradient methods and convergence rates. (English) Zbl 1490.90229 Eur. J. Oper. Res. 298, No. 1, 45-58 (2022). MSC: 90C26 49J52 65K05 90C25 PDFBibTeX XMLCite \textit{Y. Hu} et al., Eur. J. Oper. Res. 298, No. 1, 45--58 (2022; Zbl 1490.90229) Full Text: DOI
Gratton, S.; Jerad, S.; Toint, Ph. L. First-Order Objective-Function-Free Optimization Algorithms and Their Complexity. arXiv:2203.01757 Preprint, arXiv:2203.01757 [math.OC] (2022). MSC: 90C60 90C30 90C15 90C26 49N30 BibTeX Cite \textit{S. Gratton} et al., ``First-Order Objective-Function-Free Optimization Algorithms and Their Complexity'', Preprint, arXiv:2203.01757 [math.OC] (2022) Full Text: arXiv OA License
Gratton, S.; Jerad, S.; Toint, Ph. L. Complexity of a Class of First-Order Objective-Function-Free Optimization Algorithms. arXiv:2203.01647 Preprint, arXiv:2203.01647 [math.OC] (2022). MSC: 90C60 90C30 90C15 90C26 49N30 BibTeX Cite \textit{S. Gratton} et al., ``Complexity of a Class of First-Order Objective-Function-Free Optimization Algorithms'', Preprint, arXiv:2203.01647 [math.OC] (2022) Full Text: arXiv OA License
Dai, Yutong; Robinson, Daniel P. Inexact Proximal-Gradient Methods with Support Identification. arXiv:2211.02214 Preprint, arXiv:2211.02214 [math.OC] (2022). MSC: 49M29 49M37 65K05 65K10 65Y20 68Q25 90C30 90C60 BibTeX Cite \textit{Y. Dai} and \textit{D. P. Robinson}, ``Inexact Proximal-Gradient Methods with Support Identification'', Preprint, arXiv:2211.02214 [math.OC] (2022) Full Text: arXiv OA License
Kong, Siyu; Lewis, A. S. The cost of nonconvexity in deterministic nonsmooth optimization. arXiv:2210.00652 Preprint, arXiv:2210.00652 [math.OC] (2022). MSC: 90C56 49J52 65Y20 BibTeX Cite \textit{S. Kong} and \textit{A. S. Lewis}, ``The cost of nonconvexity in deterministic nonsmooth optimization'', Preprint, arXiv:2210.00652 [math.OC] (2022) Full Text: arXiv OA License
Morshed, Md Sarowar ALS: Augmented Lagrangian Sketching Methods for Linear Systems. arXiv:2208.06152 Preprint, arXiv:2208.06152 [math.OC] (2022). MSC: 15A06 15B52 49M37 65F10 65K05 65N75 65Y20 68Q25 68W20 68W40 90C30 90C51 BibTeX Cite \textit{M. S. Morshed}, ``ALS: Augmented Lagrangian Sketching Methods for Linear Systems'', Preprint, arXiv:2208.06152 [math.OC] (2022) Full Text: arXiv OA License
Roulet, Vincent; Srinivasa, Siddhartha; Fazel, Maryam; Harchaoui, Zaid Iterative Linear Quadratic Optimization for Nonlinear Control: Differentiable Programming Algorithmic Templates. arXiv:2207.06362 Preprint, arXiv:2207.06362 [math.OC] (2022). MSC: 68Q25 49M37 BibTeX Cite \textit{V. Roulet} et al., ``Iterative Linear Quadratic Optimization for Nonlinear Control: Differentiable Programming Algorithmic Templates'', Preprint, arXiv:2207.06362 [math.OC] (2022) Full Text: arXiv OA License
Morshed, Md Sarowar Augmented Newton Method for Optimization: Global Linear Rate and Momentum Interpretation. arXiv:2205.11033 Preprint, arXiv:2205.11033 [math.OC] (2022). MSC: 49M15 49M37 58C15 65K05 65K10 65Y20 68Q25 90C06 90C30 90C51 BibTeX Cite \textit{M. S. Morshed}, ``Augmented Newton Method for Optimization: Global Linear Rate and Momentum Interpretation'', Preprint, arXiv:2205.11033 [math.OC] (2022) Full Text: arXiv OA License
Roulet, Vincent; Srinivasa, Siddhartha; Fazel, Maryam; Harchaoui, Zaid Complexity Bounds of Iterative Linear Quadratic Optimization Algorithms for Discrete Time Nonlinear Control. arXiv:2204.02322 Preprint, arXiv:2204.02322 [math.OC] (2022). MSC: 68Q25 49M37 BibTeX Cite \textit{V. Roulet} et al., ``Complexity Bounds of Iterative Linear Quadratic Optimization Algorithms for Discrete Time Nonlinear Control'', Preprint, arXiv:2204.02322 [math.OC] (2022) Full Text: arXiv OA License
Liu, Zhe; Li, Shurong; Ge, Yulei A quantum computing-based numerical method of mixed-integer optimal control problems under uncertainty for alkali-surfactant-polymer flooding. (English) Zbl 1523.49041 Eng. Optim. 53, No. 3, 531-550 (2021). MSC: 49N90 49J10 68Q12 90C11 90C29 PDFBibTeX XMLCite \textit{Z. Liu} et al., Eng. Optim. 53, No. 3, 531--550 (2021; Zbl 1523.49041) Full Text: DOI
Altschuler, Jason M.; Boix-Adserà, Enric Hardness results for multimarginal optimal transport problems. (English) Zbl 1506.68034 Discrete Optim. 42, Article ID 100669, 21 p. (2021). MSC: 68Q25 49Q22 68Q17 90C05 PDFBibTeX XMLCite \textit{J. M. Altschuler} and \textit{E. Boix-Adserà}, Discrete Optim. 42, Article ID 100669, 21 p. (2021; Zbl 1506.68034) Full Text: DOI arXiv
Potter, Samuel F.; Cameron, Maria K. Jet marching methods for solving the eikonal equation. (English) Zbl 1490.65307 SIAM J. Sci. Comput. 43, No. 6, A4121-A4146 (2021). MSC: 65N99 65Y20 49M99 PDFBibTeX XMLCite \textit{S. F. Potter} and \textit{M. K. Cameron}, SIAM J. Sci. Comput. 43, No. 6, A4121--A4146 (2021; Zbl 1490.65307) Full Text: DOI arXiv
Harbrecht, Helmut; Kalmykov, Ilja Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control. (English) Zbl 1480.49005 SIAM J. Control Optim. 59, No. 6, 4538-4562 (2021). MSC: 49J20 65M60 65Y20 49N10 49N35 PDFBibTeX XMLCite \textit{H. Harbrecht} and \textit{I. Kalmykov}, SIAM J. Control Optim. 59, No. 6, 4538--4562 (2021; Zbl 1480.49005) Full Text: DOI
Svaiter, B. Fux A partially inexact ADMM with \(o(1/n)\) asymptotic convergence rate, \(\mathcal{O} (1/n)\) complexity, and immediate relative error tolerance. (English) Zbl 07432194 Optimization 70, No. 10, 2061-2080 (2021). MSC: 47H05 49M27 65K05 65K10 65G99 90C25 90C60 PDFBibTeX XMLCite \textit{B. F. Svaiter}, Optimization 70, No. 10, 2061--2080 (2021; Zbl 07432194) Full Text: DOI
van Leeuwen, Tristan; Aravkin, Aleksandr Y. Variable projection for nonsmooth problems. (English) Zbl 1490.65124 SIAM J. Sci. Comput. 43, No. 5, S249-S268 (2021). MSC: 65K10 49M37 49M41 68Q25 68R10 68U05 90C52 PDFBibTeX XMLCite \textit{T. van Leeuwen} and \textit{A. Y. Aravkin}, SIAM J. Sci. Comput. 43, No. 5, S249--S268 (2021; Zbl 1490.65124) Full Text: DOI
Yegorov, Ivan; Dower, Peter M.; Grüne, Lars Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control. II: Numerical approach. (English) Zbl 1472.93076 Optim. Control Appl. Methods 42, No. 5, 1410-1440 (2021). MSC: 93C15 49K15 49L12 93D15 93D30 PDFBibTeX XMLCite \textit{I. Yegorov} et al., Optim. Control Appl. Methods 42, No. 5, 1410--1440 (2021; Zbl 1472.93076) Full Text: DOI
Kim, Donghwan Accelerated proximal point method for maximally monotone operators. (English) Zbl 1478.90089 Math. Program. 190, No. 1-2 (A), 57-87 (2021). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{D. Kim}, Math. Program. 190, No. 1--2 (A), 57--87 (2021; Zbl 1478.90089) Full Text: DOI arXiv
Léger, Flavien A gradient descent perspective on Sinkhorn. (English) Zbl 1478.90057 Appl. Math. Optim. 84, No. 2, 1843-1855 (2021). MSC: 90C08 49N99 65D99 65Y20 65N12 PDFBibTeX XMLCite \textit{F. Léger}, Appl. Math. Optim. 84, No. 2, 1843--1855 (2021; Zbl 1478.90057) Full Text: DOI arXiv
Kaushik, Harshal D.; Yousefian, Farzad A method with convergence rates for optimization problems with variational inequality constraints. (English) Zbl 1509.65059 SIAM J. Optim. 31, No. 3, 2171-2198 (2021). MSC: 65K15 49J40 90C33 91A10 90C06 PDFBibTeX XMLCite \textit{H. D. Kaushik} and \textit{F. Yousefian}, SIAM J. Optim. 31, No. 3, 2171--2198 (2021; Zbl 1509.65059) Full Text: DOI arXiv
Griewank, A.; Streubel, T.; Tischendorf, C. On the abs-polynomial expansion of piecewise smooth functions. (English) Zbl 07368763 Optim. Methods Softw. 36, No. 2-3, 301-315 (2021). MSC: 65D15 41A10 41A58 49J52 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 36, No. 2--3, 301--315 (2021; Zbl 07368763) Full Text: DOI
van Leeuwen, Tristan; Aravkin, Aleksandr Y. Variable projection for nonsmooth problems. (English) Zbl 1512.65109 SIAM J. Sci. Comput. 43, No. 3, S249-S268 (2021). MSC: 65K10 49M37 49M41 68Q25 68R10 68U05 90C52 PDFBibTeX XMLCite \textit{T. van Leeuwen} and \textit{A. Y. Aravkin}, SIAM J. Sci. Comput. 43, No. 3, S249--S268 (2021; Zbl 1512.65109) Full Text: DOI
Doikov, Nikita; Nesterov, Yurii Minimizing uniformly convex functions by cubic regularization of Newton method. (English) Zbl 1470.90075 J. Optim. Theory Appl. 189, No. 1, 317-339 (2021). MSC: 90C25 26B25 49M15 49M37 90C30 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, J. Optim. Theory Appl. 189, No. 1, 317--339 (2021; Zbl 1470.90075) Full Text: DOI arXiv
Ito, Masaru; Fukuda, Mituhiro Nearly optimal first-order methods for convex optimization under gradient norm measure: an adaptive regularization approach. (English) Zbl 1469.90106 J. Optim. Theory Appl. 188, No. 3, 770-804 (2021). MSC: 90C25 68Q25 49M37 PDFBibTeX XMLCite \textit{M. Ito} and \textit{M. Fukuda}, J. Optim. Theory Appl. 188, No. 3, 770--804 (2021; Zbl 1469.90106) Full Text: DOI arXiv
Liu, Yanli; Xu, Yunbei; Yin, Wotao Acceleration of primal-dual methods by preconditioning and simple subproblem procedures. (English) Zbl 1464.49018 J. Sci. Comput. 86, No. 2, Paper No. 21, 34 p. (2021). MSC: 49M29 65K10 65Y20 90C25 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Sci. Comput. 86, No. 2, Paper No. 21, 34 p. (2021; Zbl 1464.49018) Full Text: DOI arXiv
Hamedani, Erfan Yazdandoost; Aybat, Necdet Serhat A primal-dual algorithm with line search for general convex-concave saddle point problems. (English) Zbl 1507.65106 SIAM J. Optim. 31, No. 2, 1299-1329 (2021). MSC: 65K10 49M29 65Y20 90C25 PDFBibTeX XMLCite \textit{E. Y. Hamedani} and \textit{N. S. Aybat}, SIAM J. Optim. 31, No. 2, 1299--1329 (2021; Zbl 1507.65106) Full Text: DOI arXiv
Kim, Donghwan; Fessler, Jeffrey A. Optimizing the efficiency of first-order methods for decreasing the gradient of smooth convex functions. (English) Zbl 1468.90085 J. Optim. Theory Appl. 188, No. 1, 192-219 (2021). MSC: 90C25 90C30 90C60 68Q25 49M25 90C22 PDFBibTeX XMLCite \textit{D. Kim} and \textit{J. A. Fessler}, J. Optim. Theory Appl. 188, No. 1, 192--219 (2021; Zbl 1468.90085) Full Text: DOI arXiv
Borgwardt, Steffen; Patterson, Stephan On the computational complexity of finding a sparse Wasserstein barycenter. (English) Zbl 1511.68122 J. Comb. Optim. 41, No. 3, 736-761 (2021). MSC: 68Q17 05C70 49Q22 68Q25 90B80 PDFBibTeX XMLCite \textit{S. Borgwardt} and \textit{S. Patterson}, J. Comb. Optim. 41, No. 3, 736--761 (2021; Zbl 1511.68122) Full Text: DOI arXiv
Gratton, S.; Simon, E.; Toint, Ph. L. An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. (English) Zbl 1465.90071 Math. Program. 187, No. 1-2 (A), 1-24 (2021). MSC: 90C26 65K05 49N30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Math. Program. 187, No. 1--2 (A), 1--24 (2021; Zbl 1465.90071) Full Text: DOI arXiv Link
Grapiglia, G. N.; Nesterov, Yu. On inexact solution of auxiliary problems in tensor methods for convex optimization. (English) Zbl 1464.90057 Optim. Methods Softw. 36, No. 1, 145-170 (2021). MSC: 90C25 90C30 49M15 49M37 58C15 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Yu. Nesterov}, Optim. Methods Softw. 36, No. 1, 145--170 (2021; Zbl 1464.90057) Full Text: DOI arXiv
Maddison, Chris J.; Paulin, Daniel; Teh, Yee Whye; Doucet, Arnaud Dual space preconditioning for gradient descent. (English) Zbl 1462.90091 SIAM J. Optim. 31, No. 1, 991-1016 (2021). MSC: 90C25 65K05 68Q25 49M29 PDFBibTeX XMLCite \textit{C. J. Maddison} et al., SIAM J. Optim. 31, No. 1, 991--1016 (2021; Zbl 1462.90091) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv
Xu, Yangyang Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming. (English) Zbl 1458.90518 Math. Program. 185, No. 1-2 (A), 199-244 (2021). MSC: 90C25 90C06 68W40 49M27 PDFBibTeX XMLCite \textit{Y. Xu}, Math. Program. 185, No. 1--2 (A), 199--244 (2021; Zbl 1458.90518) Full Text: DOI arXiv
Ouyang, Yuyuan; Xu, Yangyang Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems. (English) Zbl 1458.90516 Math. Program. 185, No. 1-2 (A), 1-35 (2021). MSC: 90C25 90C06 90C60 49M37 68Q25 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{Y. Xu}, Math. Program. 185, No. 1--2 (A), 1--35 (2021; Zbl 1458.90516) Full Text: DOI arXiv
Kim, Bumsu; Cai, HanQin; McKenzie, Daniel; Yin, Wotao Curvature-Aware Derivative-Free Optimization. arXiv:2109.13391 Preprint, arXiv:2109.13391 [math.OC] (2021). MSC: 49M15 65K05 68Q25 90C56 BibTeX Cite \textit{B. Kim} et al., ``Curvature-Aware Derivative-Free Optimization'', Preprint, arXiv:2109.13391 [math.OC] (2021) Full Text: arXiv OA License