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
Benaych-Georges, Florent; Bouchaud, Jean-Philippe; Potters, Marc Optimal cleaning for singular values of cross-covariance matrices. (English) Zbl 1516.15022 Ann. Appl. Probab. 33, No. 2, 1295-1326 (2023). MSC: 15B52 60B20 62G05 94A12 PDFBibTeX XMLCite \textit{F. Benaych-Georges} et al., Ann. Appl. Probab. 33, No. 2, 1295--1326 (2023; Zbl 1516.15022) 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
Foucart, Simon; Tadmor, Eitan; Zhong, Ming On the sparsity of Lasso minimizers in sparse data recovery. (English) Zbl 1512.94020 Constr. Approx. 57, No. 2, 901-919 (2023). MSC: 94A12 94A20 15B52 PDFBibTeX XMLCite \textit{S. Foucart} et al., Constr. Approx. 57, No. 2, 901--919 (2023; Zbl 1512.94020) Full Text: DOI arXiv
Christandl, Matthias; Vrana, Péter; Zuiddam, Jeroen Universal points in the asymptotic spectrum of tensors. (English) Zbl 1500.15020 J. Am. Math. Soc. 36, No. 1, 31-79 (2023). MSC: 15A69 14L24 68Q17 PDFBibTeX XMLCite \textit{M. Christandl} et al., J. Am. Math. Soc. 36, No. 1, 31--79 (2023; Zbl 1500.15020) Full Text: DOI
Chen, Rong; Yang, Dan; Zhang, Cun-Hui Factor models for high-dimensional tensor time series. (English) Zbl 1506.62362 J. Am. Stat. Assoc. 117, No. 537, 94-116 (2022). MSC: 62M10 62H25 15A69 62H20 PDFBibTeX XMLCite \textit{R. Chen} et al., J. Am. Stat. Assoc. 117, No. 537, 94--116 (2022; Zbl 1506.62362) Full Text: DOI arXiv
Fuchs, Tim; Gross, David; Jung, Peter; Krahmer, Felix; Kueng, Richard; Stöger, Dominik Proof methods for robust low-rank matrix recovery. (English) Zbl 1504.94038 Kutyniok, Gitta (ed.) et al., Compressed sensing in information processing. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 37-75 (2022). MSC: 94A12 15A60 90C25 90C22 PDFBibTeX XMLCite \textit{T. Fuchs} et al., in: Compressed sensing in information processing. Cham: Birkhäuser. 37--75 (2022; Zbl 1504.94038) Full Text: DOI arXiv
Liu, Shi-Min; Liu, Yong On relaxed greedy randomized iterative methods for the solution of factorized linear systems. (English) Zbl 1505.65161 Taiwanese J. Math. 26, No. 5, 953-979 (2022). MSC: 65F10 65F20 65K05 90C25 15A06 PDFBibTeX XMLCite \textit{S.-M. Liu} and \textit{Y. Liu}, Taiwanese J. Math. 26, No. 5, 953--979 (2022; Zbl 1505.65161) Full Text: DOI
Chen, Junren; Ng, Michael K. Color image inpainting via robust pure quaternion matrix completion: error bound and weighted loss. (English) Zbl 1496.94007 SIAM J. Imaging Sci. 15, No. 3, 1469-1498 (2022). MSC: 94A08 65F99 15A83 15B33 PDFBibTeX XMLCite \textit{J. Chen} and \textit{M. K. Ng}, SIAM J. Imaging Sci. 15, No. 3, 1469--1498 (2022; Zbl 1496.94007) Full Text: DOI arXiv
Zhao, Xueying; Bai, Minru; Sun, Defeng; Zheng, Libin Robust tensor completion: equivalent surrogates, error bounds, and algorithms. (English) Zbl 1497.65080 SIAM J. Imaging Sci. 15, No. 2, 625-669 (2022). MSC: 65F55 15A69 68U10 90C26 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Imaging Sci. 15, No. 2, 625--669 (2022; Zbl 1497.65080) Full Text: DOI
Xia, Dong; Zhang, Anru R.; Zhou, Yuchen Inference for low-rank tensors – no need to debias. (English) Zbl 1486.62165 Ann. Stat. 50, No. 2, 1220-1245 (2022). MSC: 62H12 15A69 62E20 62H25 PDFBibTeX XMLCite \textit{D. Xia} et al., Ann. Stat. 50, No. 2, 1220--1245 (2022; Zbl 1486.62165) Full Text: DOI arXiv
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
Athey, Susan; Bayati, Mohsen; Doudchenko, Nikolay; Imbens, Guido; Khosravi, Khashayar Matrix completion methods for causal panel data models. (English) Zbl 1506.15030 J. Am. Stat. Assoc. 116, No. 536, 1716-1730 (2021). MSC: 15A83 PDFBibTeX XMLCite \textit{S. Athey} et al., J. Am. Stat. Assoc. 116, No. 536, 1716--1730 (2021; Zbl 1506.15030) Full Text: DOI arXiv
Mao, Xiaojun; Wong, Raymond K. W.; Chen, Song Xi Matrix completion under low-rank missing mechanism. (English) Zbl 1524.62260 Stat. Sin. 31, No. 4, 2005-2030 (2021). MSC: 62H12 15A83 60B20 62F12 90C25 PDFBibTeX XMLCite \textit{X. Mao} et al., Stat. Sin. 31, No. 4, 2005--2030 (2021; Zbl 1524.62260) Full Text: DOI arXiv
Cahill, Jameson; Mixon, Dustin G. Robust width: a characterization of uniformly stable and robust compressed sensing. (English) Zbl 1481.94049 Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 343-371 (2021). MSC: 94A12 15B52 PDFBibTeX XMLCite \textit{J. Cahill} and \textit{D. G. Mixon}, in: Excursions in harmonic analysis. Volume 6. In honor of John Benedetto's 80th birthday. Cham: Birkhäuser. 343--371 (2021; Zbl 1481.94049) Full Text: DOI arXiv
Hou, Jingyao; Zhang, Feng; Wang, Jianjun One-bit tensor completion via transformed tensor singular value decomposition. (English) Zbl 1481.90252 Appl. Math. Modelling 95, 760-782 (2021). MSC: 90C25 90C59 65J22 65C20 15A69 PDFBibTeX XMLCite \textit{J. Hou} et al., Appl. Math. Modelling 95, 760--782 (2021; Zbl 1481.90252) Full Text: DOI
Leeb, William E. Matrix denoising for weighted loss functions and heterogeneous signals. (English) Zbl 1476.62127 SIAM J. Math. Data Sci. 3, No. 3, 987-1012 (2021). MSC: 62H25 62H12 60G35 15A83 15A23 PDFBibTeX XMLCite \textit{W. E. Leeb}, SIAM J. Math. Data Sci. 3, No. 3, 987--1012 (2021; Zbl 1476.62127) Full Text: DOI arXiv
Qiu, Duo; Bai, Minru; Ng, Michael K.; Zhang, Xiongjun Nonlocal robust tensor recovery with nonconvex regularization. (English) Zbl 1464.65039 Inverse Probl. 37, No. 3, Article ID 035001, 32 p. (2021). MSC: 65F22 15A69 PDFBibTeX XMLCite \textit{D. Qiu} et al., Inverse Probl. 37, No. 3, Article ID 035001, 32 p. (2021; Zbl 1464.65039) Full Text: DOI
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
Ghoshdastidar, Debarghya; Gutzeit, Maurilio; Carpentier, Alexandra; von Luxburg, Ulrike Two-sample hypothesis testing for inhomogeneous random graphs. (English) Zbl 1456.62108 Ann. Stat. 48, No. 4, 2208-2229 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 62H15 62C20 05C80 60B20 15B52 PDFBibTeX XMLCite \textit{D. Ghoshdastidar} et al., Ann. Stat. 48, No. 4, 2208--2229 (2020; Zbl 1456.62108) Full Text: DOI arXiv Euclid
Abbe, Emmanuel; Fan, Jianqing; Wang, Kaizheng; Zhong, Yiqiao Entrywise eigenvector analysis of random matrices with low expected rank. (English) Zbl 1450.62066 Ann. Stat. 48, No. 3, 1452-1474 (2020). Reviewer: Glauber Márcio Silveira Pereira (Ceará) MSC: 62H25 60B20 15B52 62H12 PDFBibTeX XMLCite \textit{E. Abbe} et al., Ann. Stat. 48, No. 3, 1452--1474 (2020; Zbl 1450.62066) Full Text: DOI arXiv Euclid
Mazumder, Rahul; Saldana, Diego; Weng, Haolei Matrix completion with nonconvex regularization: spectral operators and scalable algorithms. (English) Zbl 1448.62135 Stat. Comput. 30, No. 4, 1113-1138 (2020). MSC: 62M15 62H12 62D10 90C25 15A83 PDFBibTeX XMLCite \textit{R. Mazumder} et al., Stat. Comput. 30, No. 4, 1113--1138 (2020; Zbl 1448.62135) Full Text: DOI arXiv
Comte, F.; Genon-Catalot, V. Regression function estimation as a partly inverse problem. (English) Zbl 1445.62079 Ann. Inst. Stat. Math. 72, No. 4, 1023-1054 (2020). Reviewer: Annibal Parracho Sant’Anna (Rio de Janeiro) MSC: 62G08 62J02 62G05 62G07 15A09 PDFBibTeX XMLCite \textit{F. Comte} and \textit{V. Genon-Catalot}, Ann. Inst. Stat. Math. 72, No. 4, 1023--1054 (2020; Zbl 1445.62079) Full Text: DOI HAL
Blanchard, Gilles; Mücke, Nicole Kernel regression, minimax rates and effective dimensionality: beyond the regular case. (English) Zbl 1443.62091 Anal. Appl., Singap. 18, No. 4, 683-696 (2020). MSC: 62G08 62M15 62C20 15A18 PDFBibTeX XMLCite \textit{G. Blanchard} and \textit{N. Mücke}, Anal. Appl., Singap. 18, No. 4, 683--696 (2020; Zbl 1443.62091) Full Text: DOI arXiv
Prasadan, Arvind; Nadakuditi, Raj Rao; Paul, Debashis Sparse equisigned PCA: algorithms and performance bounds in the noisy rank-1 setting. (English) Zbl 1429.65091 Electron. J. Stat. 14, No. 1, 345-385 (2020). MSC: 65F50 62H25 62H15 62F03 60G35 15A18 PDFBibTeX XMLCite \textit{A. Prasadan} et al., Electron. J. Stat. 14, No. 1, 345--385 (2020; Zbl 1429.65091) Full Text: DOI arXiv Euclid
Shah, Nihar B.; Balakrishnan, Sivaraman; Wainwright, Martin J. Low permutation-rank matrices: structural properties and noisy completion. (English) Zbl 1434.68451 J. Mach. Learn. Res. 20, Paper No. 101, 43 p. (2019). MSC: 68T05 15A83 62C20 62H12 PDFBibTeX XMLCite \textit{N. B. Shah} et al., J. Mach. Learn. Res. 20, Paper No. 101, 43 p. (2019; Zbl 1434.68451) Full Text: arXiv Link
Zhang, Lijun; Yang, Tianbao; Jin, Rong; Zhou, Zhi-Hua Relative error bound analysis for nuclear norm regularized matrix completion. (English) Zbl 1440.65053 J. Mach. Learn. Res. 20, Paper No. 97, 22 p. (2019). MSC: 65F55 15A83 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Mach. Learn. Res. 20, Paper No. 97, 22 p. (2019; Zbl 1440.65053) Full Text: Link
Alquier, Pierre; Marie, Nicolas Matrix factorization for multivariate time series analysis. (English) Zbl 1442.62195 Electron. J. Stat. 13, No. 2, 4346-4366 (2019). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 62M10 62H25 62H12 62G08 93E14 60G35 60B20 15B52 PDFBibTeX XMLCite \textit{P. Alquier} and \textit{N. Marie}, Electron. J. Stat. 13, No. 2, 4346--4366 (2019; Zbl 1442.62195) Full Text: DOI arXiv Euclid
Dallaporta, Sandrine; de Castro, Yohann Sparse recovery from extreme eigenvalues deviation inequalities. (English) Zbl 1447.60055 ESAIM, Probab. Stat. 23, 430-463 (2019). MSC: 60F10 60E15 60B20 62J05 62J07 15A18 15A42 PDFBibTeX XMLCite \textit{S. Dallaporta} and \textit{Y. de Castro}, ESAIM, Probab. Stat. 23, 430--463 (2019; Zbl 1447.60055) Full Text: DOI arXiv
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
Lee, Kiryung; Krahmer, Felix; Romberg, Justin Spectral methods for passive imaging: nonasymptotic performance and robustness. (English) Zbl 1428.94028 SIAM J. Imaging Sci. 11, No. 3, 2110-2164 (2018). MSC: 94A08 94A12 15B52 PDFBibTeX XMLCite \textit{K. Lee} et al., SIAM J. Imaging Sci. 11, No. 3, 2110--2164 (2018; Zbl 1428.94028) Full Text: DOI arXiv
Minsker, Stanislav Sub-Gaussian estimators of the mean of a random matrix with heavy-tailed entries. (English) Zbl 1418.62235 Ann. Stat. 46, No. 6A, 2871-2903 (2018). MSC: 62H12 60B20 62G35 15B52 62G32 PDFBibTeX XMLCite \textit{S. Minsker}, Ann. Stat. 46, No. 6A, 2871--2903 (2018; Zbl 1418.62235) Full Text: DOI arXiv Euclid
Tardivel, Patrick J. C.; Servien, Rémi; Concordet, Didier Sparsest representations and approximations of an underdetermined linear system. (English) Zbl 1518.65069 Inverse Probl. 34, No. 5, Article ID 055002, 26 p. (2018). MSC: 65K05 15A06 49N30 90C25 94A12 PDFBibTeX XMLCite \textit{P. J. C. Tardivel} et al., Inverse Probl. 34, No. 5, Article ID 055002, 26 p. (2018; Zbl 1518.65069) Full Text: DOI HAL
Cottet, Vincent; Alquier, Pierre 1-bit matrix completion: PAC-Bayesian analysis of a variational approximation. (English) Zbl 1461.15032 Mach. Learn. 107, No. 3, 579-603 (2018). MSC: 15A83 65F55 62H30 68T20 PDFBibTeX XMLCite \textit{V. Cottet} and \textit{P. Alquier}, Mach. Learn. 107, No. 3, 579--603 (2018; Zbl 1461.15032) Full Text: DOI arXiv
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin Max-norm optimization for robust matrix recovery. (English) Zbl 1414.90265 Math. Program. 167, No. 1 (B), 5-35 (2018). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 90C25 90C29 15A60 PDFBibTeX XMLCite \textit{E. X. Fang} et al., Math. Program. 167, No. 1 (B), 5--35 (2018; Zbl 1414.90265) Full Text: DOI arXiv Link
Ma, Anna; Needell, Deanna; Ramdas, Aaditya Iterative methods for solving factorized linear systems. (English) Zbl 1381.65032 SIAM J. Matrix Anal. Appl. 39, No. 1, 104-122 (2018). MSC: 65F10 15A23 PDFBibTeX XMLCite \textit{A. Ma} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 104--122 (2018; Zbl 1381.65032) Full Text: DOI arXiv
O’Rourke, Sean; Vu, Van; Wang, Ke Random perturbation of low rank matrices: improving classical bounds. (English) Zbl 1380.65076 Linear Algebra Appl. 540, 26-59 (2018). MSC: 65F20 15B52 PDFBibTeX XMLCite \textit{S. O'Rourke} et al., Linear Algebra Appl. 540, 26--59 (2018; Zbl 1380.65076) Full Text: DOI arXiv
Wong, Raymond K. W.; Lee, Thomas C. M. Matrix completion with noisy entries and outliers. (English) Zbl 1443.15017 J. Mach. Learn. Res. 18(2017-2018), Paper No. 147, 25 p. (2017). MSC: 15A83 65F99 PDFBibTeX XMLCite \textit{R. K. W. Wong} and \textit{T. C. M. Lee}, J. Mach. Learn. Res. 18, Paper No. 147, 25 p. (2017; Zbl 1443.15017) Full Text: arXiv Link
Hinrichs, Aicke; Prochno, Joscha; Vybíral, Jan Entropy numbers of embeddings of Schatten classes. (English) Zbl 1373.15026 J. Funct. Anal. 273, No. 10, 3241-3261 (2017). MSC: 15A29 PDFBibTeX XMLCite \textit{A. Hinrichs} et al., J. Funct. Anal. 273, No. 10, 3241--3261 (2017; Zbl 1373.15026) Full Text: DOI arXiv
Sun, Tingni; Zhang, Cun-Hui A graphical approach to the analysis of matrix completion. (English) Zbl 1388.15025 Stochastic Processes Appl. 126, No. 12, 3935-3951 (2016). MSC: 15A83 62H12 90C25 90C90 PDFBibTeX XMLCite \textit{T. Sun} and \textit{C.-H. Zhang}, Stochastic Processes Appl. 126, No. 12, 3935--3951 (2016; Zbl 1388.15025) Full Text: DOI
Cambier, Léopold; Absil, P.-A. Robust low-rank matrix completion by Riemannian optimization. (English) Zbl 1352.65149 SIAM J. Sci. Comput. 38, No. 5, S440-S460 (2016). MSC: 65K05 15A83 90C05 65F30 PDFBibTeX XMLCite \textit{L. Cambier} and \textit{P. A. Absil}, SIAM J. Sci. Comput. 38, No. 5, S440--S460 (2016; Zbl 1352.65149) Full Text: DOI
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
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
Deng, Chunyuan; Yu, Anqi; Wei, Yimin Characterizations and representations of the \((P, Q)\)-outer generalized inverse. (English) Zbl 1410.15004 Appl. Math. Comput. 269, 432-442 (2015). MSC: 15A09 47A05 46L05 PDFBibTeX XMLCite \textit{C. Deng} et al., Appl. Math. Comput. 269, 432--442 (2015; Zbl 1410.15004) Full Text: DOI
Bahmani, Sohail; Romberg, Justin Lifting for blind deconvolution in random mask imaging: identifiability and convex relaxation. (English) Zbl 1330.94006 SIAM J. Imaging Sci. 8, No. 4, 2203-2238 (2015). MSC: 94A08 68U10 15A29 90C25 PDFBibTeX XMLCite \textit{S. Bahmani} and \textit{J. Romberg}, SIAM J. Imaging Sci. 8, No. 4, 2203--2238 (2015; Zbl 1330.94006) Full Text: DOI arXiv
Klopp, Olga Matrix completion by singular value thresholding: sharp bounds. (English) Zbl 1323.62047 Electron. J. Stat. 9, No. 2, 2348-2369 (2015). MSC: 62H12 60B20 15B52 15A83 PDFBibTeX XMLCite \textit{O. Klopp}, Electron. J. Stat. 9, No. 2, 2348--2369 (2015; Zbl 1323.62047) Full Text: DOI arXiv Euclid
Mai, The Tien; Alquier, Pierre A Bayesian approach for noisy matrix completion: optimal rate under general sampling distribution. (English) Zbl 1317.62050 Electron. J. Stat. 9, 823-841 (2015). MSC: 62H12 62J12 60B20 15B52 68T05 PDFBibTeX XMLCite \textit{T. T. Mai} and \textit{P. Alquier}, Electron. J. Stat. 9, No. 1, 823--841 (2015; Zbl 1317.62050) Full Text: DOI arXiv Euclid
Chatterjee, Sourav Matrix estimation by universal singular value thresholding. (English) Zbl 1308.62038 Ann. Stat. 43, No. 1, 177-214 (2015). MSC: 62F12 62G05 05C99 60B20 15B52 PDFBibTeX XMLCite \textit{S. Chatterjee}, Ann. Stat. 43, No. 1, 177--214 (2015; Zbl 1308.62038) Full Text: DOI arXiv Euclid
Heiman, Eyal; Schechtman, Gideon; Shraibman, Adi Deterministic algorithms for matrix completion. (English) Zbl 1306.15027 Random Struct. Algorithms 45, No. 2, 306-317 (2014). Reviewer: John D. Dixon (Ottawa) MSC: 15A83 05C50 15A18 15A60 PDFBibTeX XMLCite \textit{E. Heiman} et al., Random Struct. Algorithms 45, No. 2, 306--317 (2014; Zbl 1306.15027) Full Text: DOI
Bodnar, Taras; Gupta, Arjun K.; Parolya, Nestor On the strong convergence of the optimal linear shrinkage estimator for large dimensional covariance matrix. (English) Zbl 1333.60047 J. Multivariate Anal. 132, 215-228 (2014). MSC: 60F15 60B20 62H12 62J07 15B52 PDFBibTeX XMLCite \textit{T. Bodnar} et al., J. Multivariate Anal. 132, 215--228 (2014; Zbl 1333.60047) Full Text: DOI arXiv
Liu, Lu; Huang, Wei; Chen, Di-Rong Exact minimum rank approximation via Schatten \(p\)-norm minimization. (English) Zbl 1293.65056 J. Comput. Appl. Math. 267, 218-227 (2014). MSC: 65F15 15A60 15A23 15A83 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Appl. Math. 267, 218--227 (2014; Zbl 1293.65056) Full Text: DOI
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi On a unified view of nullspace-type conditions for recoveries associated with general sparsity structures. (English) Zbl 1332.94044 Linear Algebra Appl. 441, 124-151 (2014). MSC: 94A20 94A12 15A83 52A27 90C25 90C90 PDFBibTeX XMLCite \textit{A. Juditsky} et al., Linear Algebra Appl. 441, 124--151 (2014; Zbl 1332.94044) Full Text: DOI arXiv
Shabalin, Andrey A.; Nobel, Andrew B. Reconstruction of a low-rank matrix in the presence of Gaussian noise. (English) Zbl 1280.15022 J. Multivariate Anal. 118, 67-76 (2013). MSC: 15B52 60B20 15A83 15A18 62H25 PDFBibTeX XMLCite \textit{A. A. Shabalin} and \textit{A. B. Nobel}, J. Multivariate Anal. 118, 67--76 (2013; Zbl 1280.15022) Full Text: DOI arXiv
Delattre, S.; Hoffmann, M.; Picard, D.; Vareschi, T. Blockwise SVD with error in the operator and application to blind deconvolution. (English) Zbl 1295.62030 Electron. J. Stat. 6, 2274-2308 (2012). MSC: 62G05 15A23 65F15 PDFBibTeX XMLCite \textit{S. Delattre} et al., Electron. J. Stat. 6, 2274--2308 (2012; Zbl 1295.62030) Full Text: DOI arXiv Euclid
Haff, L. R.; Kim, P. T.; Koo, J.-Y.; Richards, D. St. P. Minimax estimation for mixtures of Wishart distributions. (English) Zbl 1246.62137 Ann. Stat. 39, No. 6, 3417-3440 (2011). MSC: 62H12 15B52 62G20 PDFBibTeX XMLCite \textit{L. R. Haff} et al., Ann. Stat. 39, No. 6, 3417--3440 (2011; Zbl 1246.62137) Full Text: DOI arXiv Euclid
Arias-Castro, Ery; Candès, Emmanuel J.; Plan, Yaniv Global testing under sparse alternatives: ANOVA, multiple comparisons and the higher criticism. (English) Zbl 1231.62136 Ann. Stat. 39, No. 5, 2533-2556 (2011). MSC: 62J10 62G10 62G20 15B52 94A13 PDFBibTeX XMLCite \textit{E. Arias-Castro} et al., Ann. Stat. 39, No. 5, 2533--2556 (2011; Zbl 1231.62136) Full Text: DOI arXiv
Cai, T. Tony; Jiang, Tiefeng Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices. (English) Zbl 1220.62066 Ann. Stat. 39, No. 3, 1496-1525 (2011). MSC: 62H15 15B52 62E20 60F15 62H10 PDFBibTeX XMLCite \textit{T. T. Cai} and \textit{T. Jiang}, Ann. Stat. 39, No. 3, 1496--1525 (2011; Zbl 1220.62066) Full Text: DOI arXiv
Nazin, A. V.; Polyak, B. T. Randomized algorithm to determine the eigenvector of a stochastic matrix with application to the PageRank problem. (English. Russian original) Zbl 1233.65032 Autom. Remote Control 72, No. 2, 342-352 (2011); translation from Avtom. Telemekh. 2011, No. 2, 131-141 (2011). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15B51 68W20 65F50 68P10 PDFBibTeX XMLCite \textit{A. V. Nazin} and \textit{B. T. Polyak}, Autom. Remote Control 72, No. 2, 342--352 (2011; Zbl 1233.65032); translation from Avtom. Telemekh. 2011, No. 2, 131--141 (2011) Full Text: DOI