Zhang, Xian; Peng, Dingtao; Su, Yanyan A singular value shrinkage thresholding algorithm for folded concave penalized low-rank matrix optimization problems. (English) Zbl 07805317 J. Glob. Optim. 88, No. 2, 485-508 (2024). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Glob. Optim. 88, No. 2, 485--508 (2024; Zbl 07805317) Full Text: DOI
Xie, Fangzheng Entrywise limit theorems for eigenvectors of signal-plus-noise matrix models with weak signals. (English) Zbl 07788889 Bernoulli 30, No. 1, 388-418 (2024). MSC: 62Hxx 05Cxx 15Axx PDFBibTeX XMLCite \textit{F. Xie}, Bernoulli 30, No. 1, 388--418 (2024; Zbl 07788889) Full Text: DOI arXiv
Karnik, Santhosh; Wang, Rongrong; Iwen, Mark Neural network approximation of continuous functions in high dimensions with applications to inverse problems. (English) Zbl 1527.41002 J. Comput. Appl. Math. 438, Article ID 115557, 20 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 41A30 68T07 PDFBibTeX XMLCite \textit{S. Karnik} et al., J. Comput. Appl. Math. 438, Article ID 115557, 20 p. (2024; Zbl 1527.41002) Full Text: DOI arXiv
Nigam, H. K.; Yadav, Saroj Block-sparse recovery and rank minimization using a weighted \(l_p-l_q\) model. (English) Zbl 07772806 J. Inequal. Appl. 2023, Paper No. 29, 17 p. (2023). MSC: 90C26 94A12 15A83 PDFBibTeX XMLCite \textit{H. K. Nigam} and \textit{S. Yadav}, J. Inequal. Appl. 2023, Paper No. 29, 17 p. (2023; Zbl 07772806) Full Text: DOI
Neeman, Joe; Radin, Charles; Sadun, Lorenzo Moderate deviations in cycle count. (English) Zbl 1522.05439 Random Struct. Algorithms 63, No. 3, 779-820 (2023). MSC: 05C80 05C42 PDFBibTeX XMLCite \textit{J. Neeman} et al., Random Struct. Algorithms 63, No. 3, 779--820 (2023; Zbl 1522.05439) Full Text: DOI arXiv
Maly, Johannes Robust sensing of low-rank matrices with non-orthogonal sparse decomposition. (English) Zbl 07740083 Appl. Comput. Harmon. Anal. 67, Article ID 101569, 31 p. (2023). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{J. Maly}, Appl. Comput. Harmon. Anal. 67, Article ID 101569, 31 p. (2023; Zbl 07740083) Full Text: DOI arXiv
Wang, Di; Tsay, Ruey S. Rate-optimal robust estimation of high-dimensional vector autoregressive models. (English) Zbl 07714183 Ann. Stat. 51, No. 2, 846-877 (2023). MSC: 62M10 62F35 62J07 PDFBibTeX XMLCite \textit{D. Wang} and \textit{R. S. Tsay}, Ann. Stat. 51, No. 2, 846--877 (2023; Zbl 07714183) Full Text: DOI arXiv
Zhao, Yunbin; Luo, Zhiquan Improved RIP-based bounds for guaranteed performance of two compressed sensing algorithms. (English) Zbl 1518.90111 Sci. China, Math. 66, No. 5, 1123-1140 (2023). MSC: 90C30 65F10 94A12 15A29 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Z. Luo}, Sci. China, Math. 66, No. 5, 1123--1140 (2023; Zbl 1518.90111) Full Text: DOI arXiv
Belloni, Alexandre; Chen, Mingli; Padilla, Oscar Hernan Madrid; Wang, Zixuan (Kevin) High-dimensional latent panel quantile regression with an application to asset pricing. (English) Zbl 07684006 Ann. Stat. 51, No. 1, 96-121 (2023). MSC: 62A99 PDFBibTeX XMLCite \textit{A. Belloni} et al., Ann. Stat. 51, No. 1, 96--121 (2023; Zbl 07684006) Full Text: DOI arXiv
Xia, Yu; Zhou, Likai Adaptive iterative hard thresholding for low-rank matrix recovery and rank-one measurements. (English) Zbl 1510.94067 J. Complexity 76, Article ID 101725, 19 p. (2023). MSC: 94A12 94A15 94A08 68P30 15B52 PDFBibTeX XMLCite \textit{Y. Xia} and \textit{L. Zhou}, J. Complexity 76, Article ID 101725, 19 p. (2023; Zbl 1510.94067) Full Text: DOI
Lee, Hung Yi; Hernandez, Charles; Liu, Hongcheng Regularized sample average approximation for high-dimensional stochastic optimization under low-rankness. (English) Zbl 1512.90151 J. Glob. Optim. 85, No. 2, 257-282 (2023). MSC: 90C15 90C59 PDFBibTeX XMLCite \textit{H. Y. Lee} et al., J. Glob. Optim. 85, No. 2, 257--282 (2023; Zbl 1512.90151) Full Text: DOI arXiv
Saunderson, James; Chandrasekaran, Venkat Terracini convexity. (English) Zbl 1508.52002 Math. Program. 198, No. 1 (A), 399-441 (2023). MSC: 52A20 52A22 52B12 90C22 PDFBibTeX XMLCite \textit{J. Saunderson} and \textit{V. Chandrasekaran}, Math. Program. 198, No. 1 (A), 399--441 (2023; Zbl 1508.52002) Full Text: DOI arXiv
Grotheer, R.; Li, S.; Ma, A.; Needell, D.; Qin, J. Iterative hard thresholding for low CP-rank tensor models. (English) Zbl 1514.65052 Linear Multilinear Algebra 70, No. 22, 7452-7468 (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{R. Grotheer} et al., Linear Multilinear Algebra 70, No. 22, 7452--7468 (2022; Zbl 1514.65052) Full Text: DOI arXiv
Carlsson, Marcus; Gerosa, Daniele; Olsson, Carl An unbiased approach to low rank recovery. (English) Zbl 1508.90066 SIAM J. Optim. 32, No. 4, 2969-2996 (2022). MSC: 90C26 65K10 PDFBibTeX XMLCite \textit{M. Carlsson} et al., SIAM J. Optim. 32, No. 4, 2969--2996 (2022; Zbl 1508.90066) Full Text: DOI arXiv
Colbrook, Matthew J. WARPd: a linearly convergent first-order primal-dual algorithm for inverse problems with approximate sharpness conditions. (English) Zbl 1496.65074 SIAM J. Imaging Sci. 15, No. 3, 1539-1575 (2022). MSC: 65K10 68U10 65Y20 68Q25 90C25 94A08 15A83 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Imaging Sci. 15, No. 3, 1539--1575 (2022; Zbl 1496.65074) Full Text: DOI arXiv
Krahmer, Felix; Kümmerle, Christian; Melnyk, Oleh On the robustness of noise-blind low-rank recovery from rank-one measurements. (English) Zbl 1502.65021 Linear Algebra Appl. 652, 37-81 (2022). MSC: 65F55 90C17 90C22 PDFBibTeX XMLCite \textit{F. Krahmer} et al., Linear Algebra Appl. 652, 37--81 (2022; Zbl 1502.65021) Full Text: DOI arXiv
Li, Junlin High-dimensional dynamic systems identification with additional constraints. (English) Zbl 07565485 Commun. Stat., Theory Methods 51, No. 15, 5204-5225 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{J. Li}, Commun. Stat., Theory Methods 51, No. 15, 5204--5225 (2022; Zbl 07565485) Full Text: DOI arXiv
Ding, Mingcai; Song, Xiaoliang; Yu, Bo An inexact proximal DC algorithm with sieving strategy for rank constrained least squares semidefinite programming. (English) Zbl 1494.90069 J. Sci. Comput. 91, No. 3, Paper No. 75, 40 p. (2022). MSC: 90C22 PDFBibTeX XMLCite \textit{M. Ding} et al., J. Sci. Comput. 91, No. 3, Paper No. 75, 40 p. (2022; Zbl 1494.90069) Full Text: DOI arXiv
Tao, Ting; Qian, Yitian; Pan, Shaohua Column \(\ell_{2,0}\)-norm regularized factorization model of low-rank matrix recovery and its computation. (English) Zbl 1505.65186 SIAM J. Optim. 32, No. 2, 959-988 (2022). MSC: 65F55 90C26 PDFBibTeX XMLCite \textit{T. Tao} et al., SIAM J. Optim. 32, No. 2, 959--988 (2022; Zbl 1505.65186) Full Text: DOI arXiv
Alquier, Pierre; Marie, Nicolas; Rosier, Amélie Tight risk bound for high dimensional time series completion. (English) Zbl 1493.62545 Electron. J. Stat. 16, No. 1, 3001-3035 (2022). MSC: 62M20 62H12 37A25 62H25 62M10 60B20 PDFBibTeX XMLCite \textit{P. Alquier} et al., Electron. J. Stat. 16, No. 1, 3001--3035 (2022; Zbl 1493.62545) Full Text: DOI arXiv Link
Han, Rungang; Willett, Rebecca; Zhang, Anru R. An optimal statistical and computational framework for generalized tensor estimation. (English) Zbl 1486.62161 Ann. Stat. 50, No. 1, 1-29 (2022). MSC: 62H12 15A69 62H25 62C20 90C26 PDFBibTeX XMLCite \textit{R. Han} et al., Ann. Stat. 50, No. 1, 1--29 (2022; Zbl 1486.62161) Full Text: DOI arXiv
Xu, Hang; Li, Song; Lin, Junhong Low rank matrix recovery with adversarial sparse noise. (English) Zbl 1485.90135 Inverse Probl. 38, No. 3, Article ID 035001, 41 p. (2022). MSC: 90C30 90C90 PDFBibTeX XMLCite \textit{H. Xu} et al., Inverse Probl. 38, No. 3, Article ID 035001, 41 p. (2022; Zbl 1485.90135) Full Text: DOI
Chernozhukov, Victor; Wüthrich, Kaspar; Zhu, Yinchu An exact and robust conformal inference method for counterfactual and synthetic controls. (English) Zbl 1506.62246 J. Am. Stat. Assoc. 116, No. 536, 1849-1864 (2021). MSC: 62D20 PDFBibTeX XMLCite \textit{V. Chernozhukov} et al., J. Am. Stat. Assoc. 116, No. 536, 1849--1864 (2021; Zbl 1506.62246) Full Text: DOI arXiv
Liu, Huafeng; Jing, Liping; Wen, Jingxuan; Xu, Pengyu; Wang, Jiaqi; Yu, Jian; Ng, Michael K. Interpretable deep generative recommendation models. (English) Zbl 07626717 J. Mach. Learn. Res. 22, Paper No. 202, 54 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Mach. Learn. Res. 22, Paper No. 202, 54 p. (2021; Zbl 07626717) Full Text: Link
Löffler, Matthias; Picard, Antoine Spectral thresholding for the estimation of Markov chain transition operators. (English) Zbl 1493.62172 Electron. J. Stat. 15, No. 2, 6281-6310 (2021). MSC: 62G05 62C20 PDFBibTeX XMLCite \textit{M. Löffler} and \textit{A. Picard}, Electron. J. Stat. 15, No. 2, 6281--6310 (2021; Zbl 1493.62172) Full Text: DOI arXiv Link
Charisopoulos, Vasileios; Chen, Yudong; Davis, Damek; Díaz, Mateo; Ding, Lijun; Drusvyatskiy, Dmitriy Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence. (English) Zbl 1480.65100 Found. Comput. Math. 21, No. 6, 1505-1593 (2021). MSC: 65F55 65K05 90C06 PDFBibTeX XMLCite \textit{V. Charisopoulos} et al., Found. Comput. Math. 21, No. 6, 1505--1593 (2021; Zbl 1480.65100) Full Text: DOI arXiv
Tao, Ting; Pan, Shaohua; Bi, Shujun Error bound of critical points and KL property of exponent 1/2 for squared F-norm regularized factorization. (English) Zbl 1490.90283 J. Glob. Optim. 81, No. 4, 991-1017 (2021). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C30 PDFBibTeX XMLCite \textit{T. Tao} et al., J. Glob. Optim. 81, No. 4, 991--1017 (2021; Zbl 1490.90283) Full Text: DOI arXiv
Gao, Qingyi; Wang, Xiao Theoretical investigation of generalization bounds for adversarial learning of deep neural networks. (English) Zbl 1483.68338 J. Stat. Theory Pract. 15, No. 2, Paper No. 51, 28 p. (2021). Reviewer: Hongshan Li (Mountain View) MSC: 68T07 PDFBibTeX XMLCite \textit{Q. Gao} and \textit{X. Wang}, J. Stat. Theory Pract. 15, No. 2, Paper No. 51, 28 p. (2021; Zbl 1483.68338) Full Text: DOI
Tong, Tian; Ma, Cong; Chi, Yuejie Accelerating ill-conditioned low-rank matrix estimation via scaled gradient descent. (English) Zbl 07415093 J. Mach. Learn. Res. 22, Paper No. 150, 63 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{T. Tong} et al., J. Mach. Learn. Res. 22, Paper No. 150, 63 p. (2021; Zbl 07415093) Full Text: arXiv Link
Fan, Jianqing; Wang, Weichen; Zhu, Ziwei A shrinkage principle for heavy-tailed data: high-dimensional robust low-rank matrix recovery. (English) Zbl 1479.62034 Ann. Stat. 49, No. 3, 1239-1266 (2021). Reviewer: Joseph Melamed (Los Angeles) MSC: 62H12 62J07 62G35 62G20 94A12 PDFBibTeX XMLCite \textit{J. Fan} et al., Ann. Stat. 49, No. 3, 1239--1266 (2021; Zbl 1479.62034) Full Text: DOI arXiv
Huang, Jianwen; Wang, Jianjun; Zhang, Feng; Wang, Hailin; Wang, Wendong Perturbation analysis of low-rank matrix stable recovery. (English) Zbl 1471.15012 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 4, Article ID 2050091, 19 p. (2021). MSC: 15A29 47A55 60E05 94A08 94A20 PDFBibTeX XMLCite \textit{J. Huang} et al., Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 4, Article ID 2050091, 19 p. (2021; Zbl 1471.15012) Full Text: DOI
Rauhut, Holger; Stojanac, Željka Tensor theta norms and low rank recovery. (English) Zbl 1474.13058 Numer. Algorithms 88, No. 1, 25-66 (2021). Reviewer: Edoardo Ballico (Povo) MSC: 13P10 15A69 15A60 52A41 90C22 90C25 94A20 PDFBibTeX XMLCite \textit{H. Rauhut} and \textit{Ž. Stojanac}, Numer. Algorithms 88, No. 1, 25--66 (2021; Zbl 1474.13058) Full Text: DOI arXiv
Han, Qiyang Oracle posterior contraction rates under hierarchical priors. (English) Zbl 1479.62029 Electron. J. Stat. 15, No. 1, 1085-1153 (2021). Reviewer: Dongsheng Tu (Kingston) MSC: 62G20 62G05 62H12 60G55 PDFBibTeX XMLCite \textit{Q. Han}, Electron. J. Stat. 15, No. 1, 1085--1153 (2021; Zbl 1479.62029) Full Text: DOI arXiv
Cai, Tony; Li, Hongzhe; Ma, Rong Optimal structured principal subspace estimation: metric entropy and minimax rates. (English) Zbl 07370563 J. Mach. Learn. Res. 22, Paper No. 46, 45 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{T. Cai} et al., J. Mach. Learn. Res. 22, Paper No. 46, 45 p. (2021; Zbl 07370563) Full Text: arXiv Link
Wang, Wendong; Zhang, Feng; Wang, Jianjun Low-rank matrix recovery via regularized nuclear norm minimization. (English) Zbl 1469.65090 Appl. Comput. Harmon. Anal. 54, 1-19 (2021). MSC: 65F99 15A03 90C25 94A12 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Comput. Harmon. Anal. 54, 1--19 (2021; Zbl 1469.65090) Full Text: DOI arXiv
Liu, Yulan; Pan, Shaohua; Bi, Shujun Isolated calmness of solution mappings and exact recovery conditions for nuclear norm optimization problems. (English) Zbl 1465.90098 Optimization 70, No. 3, 481-510 (2021). MSC: 90C30 PDFBibTeX XMLCite \textit{Y. Liu} et al., Optimization 70, No. 3, 481--510 (2021; Zbl 1465.90098) Full Text: DOI
Fornasier, Massimo; Maly, Johannes; Naumova, Valeriya Robust recovery of low-rank matrices with non-orthogonal sparse decomposition from incomplete measurements. (English) Zbl 1508.65041 Appl. Math. Comput. 392, Article ID 125702, 26 p. (2021). MSC: 65F55 PDFBibTeX XMLCite \textit{M. Fornasier} et al., Appl. Math. Comput. 392, Article ID 125702, 26 p. (2021; Zbl 1508.65041) Full Text: DOI arXiv
Lai, Ming-Jun; Liu, Yang; Li, Song; Wang, Huimin On the Schatten \(p\)-quasi-norm minimization for low-rank matrix recovery. (English) Zbl 1462.15032 Appl. Comput. Harmon. Anal. 51, 157-170 (2021). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A83 15A42 15A18 15A60 PDFBibTeX XMLCite \textit{M.-J. Lai} et al., Appl. Comput. Harmon. Anal. 51, 157--170 (2021; Zbl 1462.15032) Full Text: DOI
Cai, Yun Weighted \(l_p- l_1\) minimization methods for block sparse recovery and rank minimization. (English) Zbl 1461.90092 Anal. Appl., Singap. 19, No. 2, 343-361 (2021). MSC: 90C25 94A12 15A83 PDFBibTeX XMLCite \textit{Y. Cai}, Anal. Appl., Singap. 19, No. 2, 343--361 (2021; Zbl 1461.90092) Full Text: DOI
Ahmed, Talal; Raja, Haroon; Bajwa, Waheed U. Tensor regression using low-rank and sparse Tucker decompositions. (English) Zbl 07482293 SIAM J. Math. Data Sci. 2, No. 4, 944-966 (2020). MSC: 62J05 41A52 41A63 62F10 PDFBibTeX XMLCite \textit{T. Ahmed} et al., SIAM J. Math. Data Sci. 2, No. 4, 944--966 (2020; Zbl 07482293) Full Text: DOI arXiv
Zhang, Anru R.; Luo, Yuetian; Raskutti, Garvesh; Yuan, Ming ISLET: fast and optimal low-rank tensor regression via importance sketching. (English) Zbl 1484.65095 SIAM J. Math. Data Sci. 2, No. 2, 444-479 (2020). MSC: 65F99 65F55 62H12 15A69 PDFBibTeX XMLCite \textit{A. R. Zhang} et al., SIAM J. Math. Data Sci. 2, No. 2, 444--479 (2020; Zbl 1484.65095) Full Text: DOI arXiv
Bi, Shujun; Pan, Shaohua; Sun, Defeng A multi-stage convex relaxation approach to noisy structured low-rank matrix recovery. (English) Zbl 1452.90258 Math. Program. Comput. 12, No. 4, 569-602 (2020). MSC: 90C27 90C33 49M20 PDFBibTeX XMLCite \textit{S. Bi} et al., Math. Program. Comput. 12, No. 4, 569--602 (2020; Zbl 1452.90258) Full Text: DOI arXiv
Alquier, Pierre; Bertin, Karine; Doukhan, Paul; Garnier, Rémy High-dimensional VAR with low-rank transition. (English) Zbl 1448.62130 Stat. Comput. 30, No. 4, 1139-1153 (2020). MSC: 62M10 62M20 62P20 PDFBibTeX XMLCite \textit{P. Alquier} et al., Stat. Comput. 30, No. 4, 1139--1153 (2020; Zbl 1448.62130) Full Text: DOI arXiv
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu Guarantees of Riemannian optimization for low rank matrix completion. (English) Zbl 1439.65059 Inverse Probl. Imaging 14, No. 2, 233-265 (2020). MSC: 65F55 15A83 65K10 PDFBibTeX XMLCite \textit{K. Wei} et al., Inverse Probl. Imaging 14, No. 2, 233--265 (2020; Zbl 1439.65059) Full Text: DOI arXiv
Cai, Yun Minimization of the difference of nuclear and Frobenius norms for noisy low rank matrix recovery. (English) Zbl 1455.90131 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 2, Article ID 1950056, 16 p. (2020). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C26 15A60 94A12 PDFBibTeX XMLCite \textit{Y. Cai}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 2, Article ID 1950056, 16 p. (2020; Zbl 1455.90131) Full Text: DOI
Zhang, Feng; Wang, Wendong; Huang, Jianwen; Wang, Jianjun; Wang, Yao RIP-based performance guarantee for low-tubal-rank tensor recovery. (English) Zbl 1515.90103 J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020). Reviewer: Ernö Robert Csetnek (Wien) MSC: 90C25 65J22 53A45 15A69 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020; Zbl 1515.90103) Full Text: DOI arXiv
Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger Jointly low-rank and bisparse recovery: questions and partial answers. (English) Zbl 1434.65050 Anal. Appl., Singap. 18, No. 1, 25-48 (2020). MSC: 65F50 65F55 PDFBibTeX XMLCite \textit{S. Foucart} et al., Anal. Appl., Singap. 18, No. 1, 25--48 (2020; Zbl 1434.65050) Full Text: DOI arXiv
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René Nonconvex robust low-rank matrix recovery. (English) Zbl 07175265 SIAM J. Optim. 30, No. 1, 660-686 (2020). MSC: 65K10 90C26 68Q25 68W40 62B10 PDFBibTeX XMLCite \textit{X. Li} et al., SIAM J. Optim. 30, No. 1, 660--686 (2020; Zbl 07175265) Full Text: DOI arXiv
Lotz, Martin Persistent homology for low-complexity models. (English) Zbl 1472.62180 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2230, Article ID 20190081, 21 p. (2019). MSC: 62R40 55N31 62D10 60D05 60E15 PDFBibTeX XMLCite \textit{M. Lotz}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2230, Article ID 20190081, 21 p. (2019; Zbl 1472.62180) Full Text: DOI arXiv Link
Chi, Yuejie; Li, Yuanxin; Zhang, Huishuai; Liang, Yingbin Median-truncated gradient descent: a robust and scalable nonconvex approach for signal estimation. (English) Zbl 1450.94011 Boche, Holger (ed.) et al., Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 237-261 (2019). MSC: 94A12 90C26 PDFBibTeX XMLCite \textit{Y. Chi} et al., in: Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4--8, 2017. Cham: Birkhäuser. 237--261 (2019; Zbl 1450.94011) Full Text: DOI
Zhang, Richard Y.; Sojoudi, Somayeh; Lavaei, Javad Sharp restricted isometry bounds for the inexistence of spurious local minima in nonconvex matrix recovery. (English) Zbl 1440.90056 J. Mach. Learn. Res. 20, Paper No. 114, 34 p. (2019). MSC: 90C26 PDFBibTeX XMLCite \textit{R. Y. Zhang} et al., J. Mach. Learn. Res. 20, Paper No. 114, 34 p. (2019; Zbl 1440.90056) Full Text: arXiv Link
Zheng, Zemin; Bahadori, M. Taha; Liu, Yan; Lv, Jinchi Scalable interpretable multi-response regression via SEED. (English) Zbl 1441.62214 J. Mach. Learn. Res. 20, Paper No. 107, 34 p. (2019). MSC: 62L12 62J02 62H12 62R07 PDFBibTeX XMLCite \textit{Z. Zheng} et al., J. Mach. Learn. Res. 20, Paper No. 107, 34 p. (2019; Zbl 1441.62214) Full Text: arXiv Link
Zhang, Rui; Li, Song Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization. (English) Zbl 1422.94018 Appl. Comput. Harmon. Anal. 47, No. 3, 566-584 (2019). MSC: 94A12 94A15 94A08 41A63 15B52 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{S. Li}, Appl. Comput. Harmon. Anal. 47, No. 3, 566--584 (2019; Zbl 1422.94018) Full Text: DOI
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian Non-intrusive tensor reconstruction for high-dimensional random PDEs. (English) Zbl 1419.35259 Comput. Methods Appl. Math. 19, No. 1, 39-53 (2019). MSC: 35R60 47B80 60H35 65C20 65N12 65N22 65J10 PDFBibTeX XMLCite \textit{M. Eigel} et al., Comput. Methods Appl. Math. 19, No. 1, 39--53 (2019; Zbl 1419.35259) Full Text: DOI
Chen, Wen-gu; Li, Peng Truncated sparse approximation property and truncated \(q\)-norm minimization. (English) Zbl 1438.65134 Appl. Math., Ser. B (Engl. Ed.) 34, No. 3, 261-283 (2019). MSC: 65K10 90C25 90C26 92C55 PDFBibTeX XMLCite \textit{W.-g. Chen} and \textit{P. Li}, Appl. Math., Ser. B (Engl. Ed.) 34, No. 3, 261--283 (2019; Zbl 1438.65134) Full Text: DOI arXiv
Keiper, Sandra Approximation of generalized ridge functions in high dimensions. (English) Zbl 1423.41049 J. Approx. Theory 245, 101-129 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 PDFBibTeX XMLCite \textit{S. Keiper}, J. Approx. Theory 245, 101--129 (2019; Zbl 1423.41049) Full Text: DOI arXiv
Foucart, Simon; Subramanian, Srinivas Iterative hard thresholding for low-rank recovery from rank-one projections. (English) Zbl 1433.65084 Linear Algebra Appl. 572, 117-134 (2019). MSC: 65F55 15A18 65F10 PDFBibTeX XMLCite \textit{S. Foucart} and \textit{S. Subramanian}, Linear Algebra Appl. 572, 117--134 (2019; Zbl 1433.65084) Full Text: DOI arXiv
Yue, Man-Chung; Zhou, Zirui; Man-Cho So, Anthony On the quadratic convergence of the cubic regularization method under a local error bound condition. (English) Zbl 1411.90284 SIAM J. Optim. 29, No. 1, 904-932 (2019). MSC: 90C26 90C30 65K05 49M15 PDFBibTeX XMLCite \textit{M.-C. Yue} et al., SIAM J. Optim. 29, No. 1, 904--932 (2019; Zbl 1411.90284) Full Text: DOI arXiv
Soh, Yong Sheng; Chandrasekaran, Venkat Learning semidefinite regularizers. (English) Zbl 1411.90269 Found. Comput. Math. 19, No. 2, 375-434 (2019). MSC: 90C25 90C22 15A24 41A45 52A41 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Found. Comput. Math. 19, No. 2, 375--434 (2019; Zbl 1411.90269) Full Text: DOI arXiv Link
Zhang, Anru Cross: efficient low-rank tensor completion. (English) Zbl 1416.62298 Ann. Stat. 47, No. 2, 936-964 (2019). MSC: 62H12 62C20 62P10 62H35 65F20 15A69 15A83 PDFBibTeX XMLCite \textit{A. Zhang}, Ann. Stat. 47, No. 2, 936--964 (2019; Zbl 1416.62298) Full Text: DOI arXiv Euclid
She, Yiyuan; Tran, Hoang On cross-validation for sparse reduced rank regression. (English) Zbl 1407.62195 J. R. Stat. Soc., Ser. B, Stat. Methodol. 81, No. 1, 145-161 (2019). MSC: 62H12 62J12 PDFBibTeX XMLCite \textit{Y. She} and \textit{H. Tran}, J. R. Stat. Soc., Ser. B, Stat. Methodol. 81, No. 1, 145--161 (2019; Zbl 1407.62195) Full Text: DOI arXiv
Strohmer, Thomas; Wei, Ke Painless breakups – efficient demixing of low rank matrices. (English) Zbl 1428.15017 J. Fourier Anal. Appl. 25, No. 1, 1-31 (2019). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15A18 41A29 65F22 90C26 47N10 PDFBibTeX XMLCite \textit{T. Strohmer} and \textit{K. Wei}, J. Fourier Anal. Appl. 25, No. 1, 1--31 (2019; Zbl 1428.15017) Full Text: DOI arXiv
Li, Peng; Chen, Wengu Signal recovery under cumulative coherence. (English) Zbl 1405.94025 J. Comput. Appl. Math. 346, 399-417 (2019). MSC: 94A12 62G05 PDFBibTeX XMLCite \textit{P. Li} and \textit{W. Chen}, J. Comput. Appl. Math. 346, 399--417 (2019; Zbl 1405.94025) Full Text: DOI arXiv
Park, Dohyung; Kyrillidis, Anastasios; Caramanis, Constantine; Sanghavi, Sujay Finding low-rank solutions via nonconvex matrix factorization, efficiently and provably. (English) Zbl 1419.90065 SIAM J. Imaging Sci. 11, No. 4, 2165-2204 (2018). MSC: 90C06 90C26 65K05 PDFBibTeX XMLCite \textit{D. Park} et al., SIAM J. Imaging Sci. 11, No. 4, 2165--2204 (2018; Zbl 1419.90065) Full Text: DOI arXiv
Li, Peng; Chen, Wengu Signal recovery under mutual incoherence property and oracle inequalities. (English) Zbl 1416.94029 Front. Math. China 13, No. 6, 1369-1396 (2018). MSC: 94A12 65K05 90C25 92C55 PDFBibTeX XMLCite \textit{P. Li} and \textit{W. Chen}, Front. Math. China 13, No. 6, 1369--1396 (2018; Zbl 1416.94029) Full Text: DOI arXiv
Liu, Yulan; Bi, Shujun; Pan, Shaohua Equivalent Lipschitz surrogates for zero-norm and rank optimization problems. (English) Zbl 1404.90117 J. Glob. Optim. 72, No. 4, 679-704 (2018). MSC: 90C27 90C33 49M20 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Glob. Optim. 72, No. 4, 679--704 (2018; Zbl 1404.90117) Full Text: DOI arXiv
Wang, Yining; Singh, Aarti Provably correct algorithms for matrix column subset selection with selectively sampled data. (English) Zbl 1467.68154 J. Mach. Learn. Res. 18(2017-2018), Paper No. 156, 42 p. (2018). MSC: 68T05 62J07 65F99 68W20 68W25 68W40 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{A. Singh}, J. Mach. Learn. Res. 18, Paper No. 156, 42 p. (2018; Zbl 1467.68154) Full Text: arXiv Link
Kümmerle, Christian; Sigl, Juliane Harmonic mean iteratively reweighted least squares for low-rank matrix recovery. (English) Zbl 1512.62057 J. Mach. Learn. Res. 19, Paper No. 47, 49 p. (2018). MSC: 62H12 90C26 PDFBibTeX XMLCite \textit{C. Kümmerle} and \textit{J. Sigl}, J. Mach. Learn. Res. 19, Paper No. 47, 49 p. (2018; Zbl 1512.62057) Full Text: arXiv Link
Dalalyan, Arnak S.; Grappin, Edwin; Paris, Quentin On the exponentially weighted aggregate with the Laplace prior. (English) Zbl 1409.62135 Ann. Stat. 46, No. 5, 2452-2478 (2018). Reviewer: Annibal Parracho Sant’Anna (Rio de Janeiro) MSC: 62J05 62H12 62J07 PDFBibTeX XMLCite \textit{A. S. Dalalyan} et al., Ann. Stat. 46, No. 5, 2452--2478 (2018; Zbl 1409.62135) Full Text: DOI arXiv Euclid
Lecué, Guillaume; Mendelson, Shahar Regularization and the small-ball method. I: Sparse recovery. (English) Zbl 1403.60085 Ann. Stat. 46, No. 2, 611-641 (2018). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60K35 62G08 PDFBibTeX XMLCite \textit{G. Lecué} and \textit{S. Mendelson}, Ann. Stat. 46, No. 2, 611--641 (2018; Zbl 1403.60085) Full Text: DOI arXiv
Carpentier, Alexandra; Klopp, Olga; Löffler, Matthias; Nickl, Richard Adaptive confidence sets for matrix completion. (English) Zbl 1419.62109 Bernoulli 24, No. 4A, 2429-2460 (2018). MSC: 62G15 62H12 62C20 PDFBibTeX XMLCite \textit{A. Carpentier} et al., Bernoulli 24, No. 4A, 2429--2460 (2018; Zbl 1419.62109) Full Text: DOI arXiv Euclid
Xu, Zhiqiang The minimal measurement number for low-rank matrix recovery. (English) Zbl 1437.65032 Appl. Comput. Harmon. Anal. 44, No. 2, 497-508 (2018). MSC: 65F55 15A83 PDFBibTeX XMLCite \textit{Z. Xu}, Appl. Comput. Harmon. Anal. 44, No. 2, 497--508 (2018; Zbl 1437.65032) Full Text: DOI arXiv
Zhao, Junlong; Niu, Lu; Zhan, Shushi Trace regression model with simultaneously low rank and row(column) sparse parameter. (English) Zbl 1466.62229 Comput. Stat. Data Anal. 116, 1-18 (2017). MSC: 62-08 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Stat. Data Anal. 116, 1--18 (2017; Zbl 1466.62229) Full Text: DOI
Lecué, Guillaume; Mendelson, Shahar Regularization and the small-ball method. II: Complexity dependent error rates. (English) Zbl 1444.62051 J. Mach. Learn. Res. 18(2017-2018), Paper No. 146, 48 p. (2017). MSC: 62G08 60K35 68T05 PDFBibTeX XMLCite \textit{G. Lecué} and \textit{S. Mendelson}, J. Mach. Learn. Res. 18, Paper No. 146, 48 p. (2017; Zbl 1444.62051) Full Text: arXiv Link
Plan, Y.; Vershynin, R.; Yudovina, E. High-dimensional estimation with geometric constraints. (English) Zbl 1383.62121 Inf. Inference 6, No. 1, 1-40 (2017). MSC: 62G08 62H12 94A12 PDFBibTeX XMLCite \textit{Y. Plan} et al., Inf. Inference 6, No. 1, 1--40 (2017; Zbl 1383.62121) Full Text: DOI arXiv
Jacques, Laurent; Cambareri, Valerio Time for dithering: fast and quantized random embeddings via the restricted isometry property. (English) Zbl 1386.94031 Inf. Inference 6, No. 4, 441-476 (2017). MSC: 94A12 PDFBibTeX XMLCite \textit{L. Jacques} and \textit{V. Cambareri}, Inf. Inference 6, No. 4, 441--476 (2017; Zbl 1386.94031) Full Text: DOI arXiv
Ma, Tian-Hui; Lou, Yifei; Huang, Ting-Zhu Truncated \(l_{1-2}\) models for sparse recovery and rank minimization. (English) Zbl 1397.94021 SIAM J. Imaging Sci. 10, No. 3, 1346-1380 (2017). MSC: 94A12 15A83 65K10 90C26 PDFBibTeX XMLCite \textit{T.-H. Ma} et al., SIAM J. Imaging Sci. 10, No. 3, 1346--1380 (2017; Zbl 1397.94021) Full Text: DOI
Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka Low rank tensor recovery via iterative hard thresholding. (English) Zbl 1372.65130 Linear Algebra Appl. 523, 220-262 (2017). MSC: 65F30 15A83 15A69 65F20 15B52 PDFBibTeX XMLCite \textit{H. Rauhut} et al., Linear Algebra Appl. 523, 220--262 (2017; Zbl 1372.65130) Full Text: DOI arXiv
Gao, Yi; Han, Xuanli; Ma, Mingde Recovery of low-rank matrices based on the rank null space properties. (English) Zbl 1408.15018 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 4, Article ID 1750032, 19 p. (2017). MSC: 15B52 60E05 94A12 94A20 PDFBibTeX XMLCite \textit{Y. Gao} et al., Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 4, Article ID 1750032, 19 p. (2017; Zbl 1408.15018) Full Text: DOI
Bi, Shujun; Pan, Shaohua Multistage convex relaxation approach to rank regularized minimization problems based on equivalent mathematical program with a generalized complementarity constraint. (English) Zbl 1369.90173 SIAM J. Control Optim. 55, No. 4, 2493-2518 (2017). MSC: 90C33 90C26 49M20 PDFBibTeX XMLCite \textit{S. Bi} and \textit{S. Pan}, SIAM J. Control Optim. 55, No. 4, 2493--2518 (2017; Zbl 1369.90173) Full Text: DOI
Cai, Yun; Li, Song Convergence and stability of iteratively reweighted least squares for low-rank matrix recovery. (English) Zbl 1368.65060 Inverse Probl. Imaging 11, No. 4, 643-661 (2017). MSC: 65F20 65F10 15A83 94A12 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{S. Li}, Inverse Probl. Imaging 11, No. 4, 643--661 (2017; Zbl 1368.65060) Full Text: DOI
Xia, Yu; Li, Song Nonuniform recovery of fusion frame structured sparse signals. (English) Zbl 1416.94031 Anal. Appl., Singap. 15, No. 3, 333-352 (2017). MSC: 94A12 94A08 42C15 PDFBibTeX XMLCite \textit{Y. Xia} and \textit{S. Li}, Anal. Appl., Singap. 15, No. 3, 333--352 (2017; Zbl 1416.94031) Full Text: DOI
Eghbali, Reza; Fazel, Maryam Decomposable norm minimization with proximal-gradient homotopy algorithm. (English) Zbl 1392.90105 Comput. Optim. Appl. 66, No. 2, 345-381 (2017). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Eghbali} and \textit{M. Fazel}, Comput. Optim. Appl. 66, No. 2, 345--381 (2017; Zbl 1392.90105) Full Text: DOI arXiv
Kueng, Richard; Rauhut, Holger; Terstiege, Ulrich Low rank matrix recovery from rank one measurements. (English) Zbl 1393.94310 Appl. Comput. Harmon. Anal. 42, No. 1, 88-116 (2017). MSC: 94A12 94A20 60B20 90C25 81P50 PDFBibTeX XMLCite \textit{R. Kueng} et al., Appl. Comput. Harmon. Anal. 42, No. 1, 88--116 (2017; Zbl 1393.94310) Full Text: DOI arXiv
Kabanava, Maryia; Kueng, Richard; Rauhut, Holger; Terstiege, Ulrich Stable low-rank matrix recovery via null space properties. (English) Zbl 1388.94018 Inf. Inference 5, No. 4, 405-441 (2016). MSC: 94A12 PDFBibTeX XMLCite \textit{M. Kabanava} et al., Inf. Inference 5, No. 4, 405--441 (2016; Zbl 1388.94018) Full Text: DOI arXiv
Bahmani, Sohail; Romberg, Justin Near-optimal estimation of simultaneously sparse and low-rank matrices from nested linear measurements. (English) Zbl 1386.94020 Inf. Inference 5, No. 3, 331-351 (2016). MSC: 94A12 65F50 PDFBibTeX XMLCite \textit{S. Bahmani} and \textit{J. Romberg}, Inf. Inference 5, No. 3, 331--351 (2016; Zbl 1386.94020) Full Text: DOI arXiv
Dirksen, Sjoerd Dimensionality reduction with subgaussian matrices: a unified theory. (English) Zbl 1360.60031 Found. Comput. Math. 16, No. 5, 1367-1396 (2016). MSC: 60D05 60F10 68Q87 PDFBibTeX XMLCite \textit{S. Dirksen}, Found. Comput. Math. 16, No. 5, 1367--1396 (2016; Zbl 1360.60031) Full Text: DOI arXiv
Oymak, Samet; Hassibi, Babak Sharp MSE bounds for proximal denoising. (English) Zbl 1380.90221 Found. Comput. Math. 16, No. 4, 965-1029 (2016). MSC: 90C25 52A41 90C59 60G15 PDFBibTeX XMLCite \textit{S. Oymak} and \textit{B. Hassibi}, Found. Comput. Math. 16, No. 4, 965--1029 (2016; Zbl 1380.90221) Full Text: DOI arXiv Link
Xia, Dong; Koltchinskii, Vladimir Estimation of low rank density matrices: bounds in Schatten norms and other distances. (English) Zbl 1403.62104 Electron. J. Stat. 10, No. 2, 2717-2745 (2016). MSC: 62H12 81P50 94A17 PDFBibTeX XMLCite \textit{D. Xia} and \textit{V. Koltchinskii}, Electron. J. Stat. 10, No. 2, 2717--2745 (2016; Zbl 1403.62104) Full Text: DOI arXiv Euclid
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu Guarantees of Riemannian optimization for low rank matrix recovery. (English) Zbl 1347.65109 SIAM J. Matrix Anal. Appl. 37, No. 3, 1198-1222 (2016). MSC: 65K05 90C26 53B21 15A83 15A03 PDFBibTeX XMLCite \textit{K. Wei} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 1198--1222 (2016; Zbl 1347.65109) Full Text: DOI arXiv
Cai, T. Tony; Liang, Tengyuan; Rakhlin, Alexander Geometric inference for general high-dimensional linear inverse problems. (English) Zbl 1357.62235 Ann. Stat. 44, No. 4, 1536-1563 (2016). MSC: 62J05 62H12 PDFBibTeX XMLCite \textit{T. T. Cai} et al., Ann. Stat. 44, No. 4, 1536--1563 (2016; Zbl 1357.62235) Full Text: DOI arXiv Euclid
Cai, T. Tony; Zhou, Wen-Xin Matrix completion via max-norm constrained optimization. (English) Zbl 1342.62091 Electron. J. Stat. 10, No. 1, 1493-1525 (2016). MSC: 62H12 62J99 15A83 PDFBibTeX XMLCite \textit{T. T. Cai} and \textit{W.-X. Zhou}, Electron. J. Stat. 10, No. 1, 1493--1525 (2016; Zbl 1342.62091) Full Text: DOI arXiv Euclid
Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H. Optimal large-scale quantum state tomography with Pauli measurements. (English) Zbl 1341.62116 Ann. Stat. 44, No. 2, 682-712 (2016). MSC: 62H12 81P50 62C20 62P35 81P45 81P68 PDFBibTeX XMLCite \textit{T. Cai} et al., Ann. Stat. 44, No. 2, 682--712 (2016; Zbl 1341.62116) Full Text: DOI arXiv Euclid
Han, Le; Bi, Shujun; Pan, Shaohua Two-stage convex relaxation approach to least squares loss constrained low-rank plus sparsity optimization problems. (English) Zbl 1365.90199 Comput. Optim. Appl. 64, No. 1, 119-148 (2016). MSC: 90C25 90C27 PDFBibTeX XMLCite \textit{L. Han} et al., Comput. Optim. Appl. 64, No. 1, 119--148 (2016; Zbl 1365.90199) Full Text: DOI
Cui, Li; Liu, Lu; Chen, Di-Rong; Xie, Jian-Feng Recovery of low rank symmetric matrices via Schatten \(p\) norm minimization. (English) Zbl 1405.90101 Asia-Pac. J. Oper. Res. 33, No. 1, Article ID 1650003, 11 p. (2016). MSC: 90C25 15A60 65F99 PDFBibTeX XMLCite \textit{L. Cui} et al., Asia-Pac. J. Oper. Res. 33, No. 1, Article ID 1650003, 11 p. (2016; Zbl 1405.90101) Full Text: DOI
Juditsky, Anatoli; Nemirovski, Arkadi Solving variational inequalities with monotone operators on domains given by linear minimization oracles. (English) Zbl 1333.65074 Math. Program. 156, No. 1-2 (A), 221-256 (2016). MSC: 65K15 90C25 90C47 68T10 PDFBibTeX XMLCite \textit{A. Juditsky} and \textit{A. Nemirovski}, Math. Program. 156, No. 1--2 (A), 221--256 (2016; Zbl 1333.65074) Full Text: DOI arXiv
Tyagi, Hemant; Stich, Sebastian U.; Gärtner, Bernd On two continuum armed bandit problems in high dimensions. (English) Zbl 1414.91084 Theory Comput. Syst. 58, No. 1, 191-222 (2016). MSC: 91A60 68W27 PDFBibTeX XMLCite \textit{H. Tyagi} et al., Theory Comput. Syst. 58, No. 1, 191--222 (2016; Zbl 1414.91084) Full Text: DOI Link
Yue, Man-Chung; So, Anthony Man-Cho A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery. (English) Zbl 1335.15031 Appl. Comput. Harmon. Anal. 40, No. 2, 396-416 (2016). MSC: 15A45 94A12 PDFBibTeX XMLCite \textit{M.-C. Yue} and \textit{A. M. C. So}, Appl. Comput. Harmon. Anal. 40, No. 2, 396--416 (2016; Zbl 1335.15031) Full Text: DOI arXiv
Shen, Yi; Han, Bin; Braverman, Elena Stability of the elastic net estimator. (English) Zbl 1330.62280 J. Complexity 32, No. 1, 20-39 (2016). MSC: 62J05 62H30 60J20 62M45 60B10 15B52 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Complexity 32, No. 1, 20--39 (2016; Zbl 1330.62280) Full Text: DOI
Chen, WenGu; Li, YaLing Stable recovery of low-rank matrix via nonconvex Schatten \(p\)-minimization. (English) Zbl 1342.90141 Sci. China, Math. 58, No. 12, 2643-2654 (2015). MSC: 90C26 90C59 65F35 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Li}, Sci. China, Math. 58, No. 12, 2643--2654 (2015; Zbl 1342.90141) Full Text: DOI