Zheng, Léon; Riccietti, Elisa; Gribonval, Rémi Efficient identification of butterfly sparse matrix factorizations. (English) Zbl 1515.65099 SIAM J. Math. Data Sci. 5, No. 1, 22-49 (2023). MSC: 65F50 15A23 94A12 PDFBibTeX XMLCite \textit{L. Zheng} et al., SIAM J. Math. Data Sci. 5, No. 1, 22--49 (2023; Zbl 1515.65099) 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
Balan, Radu; Dock, Chris B. Lipschitz analysis of generalized phase retrievable matrix frames. (English) Zbl 1498.42046 SIAM J. Matrix Anal. Appl. 43, No. 3, 1518-1571 (2022). MSC: 42C15 15B48 30L05 94A12 65F55 PDFBibTeX XMLCite \textit{R. Balan} and \textit{C. B. Dock}, SIAM J. Matrix Anal. Appl. 43, No. 3, 1518--1571 (2022; Zbl 1498.42046) 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
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
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
Bahmani, Sohail; Lee, Kiryung Low-rank matrix estimation from rank-one projections by unlifted convex optimization. (English) Zbl 1528.65025 SIAM J. Matrix Anal. Appl. 42, No. 3, 1119-1147 (2021). MSC: 65F55 15A83 62H12 90C25 PDFBibTeX XMLCite \textit{S. Bahmani} and \textit{K. Lee}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1119--1147 (2021; Zbl 1528.65025) Full Text: DOI arXiv
Aziznejad, Shayan; Unser, Michael Duality mapping for Schatten matrix norms. (English) Zbl 1484.15024 Numer. Funct. Anal. Optim. 42, No. 6, 679-695 (2021). Reviewer: Adam Besenyei (Budapest) MSC: 15A60 15A45 47A30 PDFBibTeX XMLCite \textit{S. Aziznejad} and \textit{M. Unser}, Numer. Funct. Anal. Optim. 42, No. 6, 679--695 (2021; Zbl 1484.15024) Full Text: DOI arXiv
Tasissa, Abiy; Lai, Rongjie Low-rank matrix completion in a general non-orthogonal basis. (English) Zbl 1470.15023 Linear Algebra Appl. 625, 81-112 (2021). MSC: 15A83 65F55 60D05 PDFBibTeX XMLCite \textit{A. Tasissa} and \textit{R. Lai}, Linear Algebra Appl. 625, 81--112 (2021; Zbl 1470.15023) Full Text: DOI arXiv
Bendory, Tamir; Edidin, Dan Toward a mathematical theory of the crystallographic phase retrieval problem. (English) Zbl 1482.94023 SIAM J. Math. Data Sci. 2, No. 3, 809-839 (2020). MSC: 94A12 15A29 15A63 13P25 PDFBibTeX XMLCite \textit{T. Bendory} and \textit{D. Edidin}, SIAM J. Math. Data Sci. 2, No. 3, 809--839 (2020; Zbl 1482.94023) Full Text: DOI arXiv
Ashraphijuo, Morteza; Wang, Xiaodong Characterization of sampling patterns for low-tt-rank tensor retrieval. (English) Zbl 1466.62455 Ann. Math. Artif. Intell. 88, No. 8, 859-886 (2020). MSC: 62R07 62D05 15A69 68W01 PDFBibTeX XMLCite \textit{M. Ashraphijuo} and \textit{X. Wang}, Ann. Math. Artif. Intell. 88, No. 8, 859--886 (2020; Zbl 1466.62455) Full Text: DOI
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
Carlsson, Marcus; Gerosa, Daniele On phase retrieval via matrix completion and the estimation of low rank PSD matrices. (English) Zbl 1448.65036 Inverse Probl. 36, No. 1, Article ID 015006, 24 p. (2020). MSC: 65F55 15A29 PDFBibTeX XMLCite \textit{M. Carlsson} and \textit{D. Gerosa}, Inverse Probl. 36, No. 1, Article ID 015006, 24 p. (2020; Zbl 1448.65036) Full Text: DOI arXiv
Malgouyres, François; Landsberg, Joseph Multilinear compressive sensing and an application to convolutional linear networks. (English) Zbl 1513.68053 SIAM J. Math. Data Sci. 1, No. 3, 446-475 (2019). MSC: 68T07 15A23 PDFBibTeX XMLCite \textit{F. Malgouyres} and \textit{J. Landsberg}, SIAM J. Math. Data Sci. 1, No. 3, 446--475 (2019; Zbl 1513.68053) Full Text: DOI arXiv
Ashraphijuo, Morteza; Wang, Xiaodong Fundamental conditions on the sampling pattern for union of low-rank subspaces retrieval. (English) Zbl 1474.68312 Ann. Math. Artif. Intell. 87, No. 4, 373-393 (2019). MSC: 68T09 15A83 62H12 62R30 PDFBibTeX XMLCite \textit{M. Ashraphijuo} and \textit{X. Wang}, Ann. Math. Artif. Intell. 87, No. 4, 373--393 (2019; Zbl 1474.68312) Full Text: DOI
Wang, Yang; Xu, Zhiqiang Generalized phase retrieval: measurement number, matrix recovery and beyond. (English) Zbl 1423.42059 Appl. Comput. Harmon. Anal. 47, No. 2, 423-446 (2019). Reviewer: Denis Sidorov (Irkutsk) MSC: 42C15 94A12 15A63 15A83 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Xu}, Appl. Comput. Harmon. Anal. 47, No. 2, 423--446 (2019; Zbl 1423.42059) 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
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, Zhibao; Dai, Yu-Hong; Gao, Huan Alternating projection method for a class of tensor equations. (English) Zbl 1451.65051 J. Comput. Appl. Math. 346, 490-504 (2019). MSC: 65F45 15A69 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Appl. Math. 346, 490--504 (2019; Zbl 1451.65051) Full Text: DOI
Ling, Shuyang; Strohmer, Thomas Self-calibration and bilinear inverse problems via linear least squares. (English) Zbl 1398.15012 SIAM J. Imaging Sci. 11, No. 1, 252-292 (2018). MSC: 15A29 62H35 68U10 90C25 65F10 PDFBibTeX XMLCite \textit{S. Ling} and \textit{T. Strohmer}, SIAM J. Imaging Sci. 11, No. 1, 252--292 (2018; Zbl 1398.15012) Full Text: DOI arXiv
Kech, Michael; Krahmer, Felix Optimal injectivity conditions for bilinear inverse problems with applications to identifiability of deconvolution problems. (English) Zbl 1365.15021 SIAM J. Appl. Algebra Geom. 1, No. 1, 20-37 (2017). MSC: 15A29 15A63 51N35 14N05 94A08 PDFBibTeX XMLCite \textit{M. Kech} and \textit{F. Krahmer}, SIAM J. Appl. Algebra Geom. 1, No. 1, 20--37 (2017; Zbl 1365.15021) Full Text: DOI arXiv
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang Fast phase retrieval from local correlation measurements. (English) Zbl 1352.49035 SIAM J. Imaging Sci. 9, No. 4, 1655-1688 (2016). MSC: 49N45 49N30 42A38 65T50 15B52 68W25 PDFBibTeX XMLCite \textit{M. A. Iwen} et al., SIAM J. Imaging Sci. 9, No. 4, 1655--1688 (2016; Zbl 1352.49035) Full Text: DOI arXiv
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
Balan, Radu; Zou, Dongmian On Lipschitz analysis and Lipschitz synthesis for the phase retrieval problem. (English) Zbl 1332.15042 Linear Algebra Appl. 496, 152-181 (2016). MSC: 15A29 65H10 90C26 PDFBibTeX XMLCite \textit{R. Balan} and \textit{D. Zou}, Linear Algebra Appl. 496, 152--181 (2016; Zbl 1332.15042) Full Text: DOI arXiv
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
Führ, Hartmut; Rzeszotnik, Ziemowit On biunimodular vectors for unitary matrices. (English) Zbl 1330.15033 Linear Algebra Appl. 484, 86-129 (2015). MSC: 15B05 15A21 05B20 PDFBibTeX XMLCite \textit{H. Führ} and \textit{Z. Rzeszotnik}, Linear Algebra Appl. 484, 86--129 (2015; Zbl 1330.15033) Full Text: DOI arXiv
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi Phase retrieval from coded diffraction patterns. (English) Zbl 1329.78056 Appl. Comput. Harmon. Anal. 39, No. 2, 277-299 (2015). MSC: 78A46 78A45 94A12 90C25 15B52 PDFBibTeX XMLCite \textit{E. J. Candès} et al., Appl. Comput. Harmon. Anal. 39, No. 2, 277--299 (2015; Zbl 1329.78056) Full Text: DOI arXiv
Bodmann, Bernhard G.; Hammen, Nathaniel Stable phase retrieval with low-redundancy frames. (English) Zbl 1316.42035 Adv. Comput. Math. 41, No. 2, 317-331 (2015). MSC: 42C15 15A29 30C15 PDFBibTeX XMLCite \textit{B. G. Bodmann} and \textit{N. Hammen}, Adv. Comput. Math. 41, No. 2, 317--331 (2015; Zbl 1316.42035) Full Text: DOI arXiv
Demanet, Laurent; Hand, Paul Stable optimizationless recovery from phaseless linear measurements. (English) Zbl 1330.90069 J. Fourier Anal. Appl. 20, No. 1, 199-221 (2014). Reviewer: Paulo Mbunga (Kiel) MSC: 90C22 15A83 65K05 PDFBibTeX XMLCite \textit{L. Demanet} and \textit{P. Hand}, J. Fourier Anal. Appl. 20, No. 1, 199--221 (2014; Zbl 1330.90069) Full Text: DOI arXiv
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