Adcock, Ben; Dexter, Nick; Moraga, Sebastian Optimal approximation of infinite-dimensional holomorphic functions. (English) Zbl 07814906 Calcolo 61, No. 1, Paper No. 12, 45 p. (2024). MSC: 65D40 41A63 65Y20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Calcolo 61, No. 1, Paper No. 12, 45 p. (2024; Zbl 07814906) Full Text: DOI arXiv
Adcock, Ben; Shadrin, Alexei Fast and stable approximation of analytic functions from equispaced samples via polynomial frames. (English) Zbl 1528.41009 Constr. Approx. 57, No. 2, 257-294 (2023). MSC: 41A10 41A25 41A17 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{A. Shadrin}, Constr. Approx. 57, No. 2, 257--294 (2023; Zbl 1528.41009) Full Text: DOI arXiv
Neyra-Nesterenko, Maksym; Adcock, Ben NESTANets: stable, accurate and efficient neural networks for analysis-sparse inverse problems. (English) Zbl 1524.68324 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 4, 32 p. (2023). MSC: 68T07 15A29 65K10 90C25 PDFBibTeX XMLCite \textit{M. Neyra-Nesterenko} and \textit{B. Adcock}, Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 4, 32 p. (2023; Zbl 1524.68324) Full Text: DOI arXiv
Adcock, Ben; Brugiapaglia, Simone; King-Roskamp, Matthew Do log factors matter? On optimal wavelet approximation and the foundations of compressed sensing. (English) Zbl 1517.94038 Found. Comput. Math. 22, No. 1, 99-159 (2022). Reviewer: Ahmed I. Zayed (Chicago) MSC: 94A20 94A12 94A08 42C40 PDFBibTeX XMLCite \textit{B. Adcock} et al., Found. Comput. Math. 22, No. 1, 99--159 (2022; Zbl 1517.94038) Full Text: DOI arXiv
Adcock, Ben; Cardenas, Juan M.; Dexter, Nick; Moraga, Sebastian Towards optimal sampling for learning sparse approximations in high dimensions. (English) Zbl 1527.62004 Nikeghbali, Ashkan (ed.) et al., High-dimensional optimization and probability. With a view towards data science. Cham: Springer. Springer Optim. Appl. 191, 9-77 (2022). MSC: 62D05 68T09 PDFBibTeX XMLCite \textit{B. Adcock} et al., Springer Optim. Appl. 191, 9--77 (2022; Zbl 1527.62004) Full Text: DOI arXiv
Adcock, Ben; Dexter, Nick; Xu, Qinghong Improved recovery guarantees and sampling strategies for TV minimization in compressive imaging. (English) Zbl 1479.94008 SIAM J. Imaging Sci. 14, No. 3, 1149-1183 (2021). Reviewer: George Stoica (Saint John) MSC: 94A08 94A20 68U10 68Q25 42A38 42C40 PDFBibTeX XMLCite \textit{B. Adcock} et al., SIAM J. Imaging Sci. 14, No. 3, 1149--1183 (2021; Zbl 1479.94008) Full Text: DOI arXiv
Adcock, Ben; Antun, Vegard; Hansen, Anders C. Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling. (English) Zbl 1472.94020 Appl. Comput. Harmon. Anal. 55, 1-40 (2021). MSC: 94A12 94A20 42C40 42C10 15B52 42B10 PDFBibTeX XMLCite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 55, 1--40 (2021; Zbl 1472.94020) Full Text: DOI arXiv
Adcock, Ben; Dexter, Nick The gap between theory and practice in function approximation with deep neural networks. (English) Zbl 1483.65028 SIAM J. Math. Data Sci. 3, No. 2, 624-655 (2021). MSC: 65D15 41A25 41A46 42C05 65D05 65Y20 94A20 68T07 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{N. Dexter}, SIAM J. Math. Data Sci. 3, No. 2, 624--655 (2021; Zbl 1483.65028) Full Text: DOI arXiv
Adcock, Ben; Huybrechs, Daan Frames and numerical approximation. II: Generalized sampling. (English) Zbl 1462.42048 J. Fourier Anal. Appl. 26, No. 6, Paper No. 87, 34 p. (2020). MSC: 42C15 65T60 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{D. Huybrechs}, J. Fourier Anal. Appl. 26, No. 6, Paper No. 87, 34 p. (2020; Zbl 1462.42048) Full Text: DOI arXiv
Chun, Il Yong; Adcock, Ben Uniform recovery from subgaussian multi-sensor measurements. (English) Zbl 1454.94024 Appl. Comput. Harmon. Anal. 48, No. 2, 731-765 (2020). MSC: 94A12 42C40 65Y05 PDFBibTeX XMLCite \textit{I. Y. Chun} and \textit{B. Adcock}, Appl. Comput. Harmon. Anal. 48, No. 2, 731--765 (2020; Zbl 1454.94024) Full Text: DOI arXiv
Adcock, Ben; Huybrechs, Daan Frames and numerical approximation. (English) Zbl 1421.42015 SIAM Rev. 61, No. 3, 443-473 (2019). MSC: 42C15 42C30 41A10 65T40 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{D. Huybrechs}, SIAM Rev. 61, No. 3, 443--473 (2019; Zbl 1421.42015) Full Text: DOI arXiv
Adcock, Ben; Sui, Yi Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements. (English) Zbl 1431.41008 Constr. Approx. 50, No. 1, 167-207 (2019). Reviewer: Aurelian Bejancu (Safat) MSC: 41A25 41A05 41A10 65N15 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{Y. Sui}, Constr. Approx. 50, No. 1, 167--207 (2019; Zbl 1431.41008) Full Text: DOI arXiv
Adcock, Ben; Bao, Anyi; Brugiapaglia, Simone Correcting for unknown errors in sparse high-dimensional function approximation. (English) Zbl 1415.65030 Numer. Math. 142, No. 3, 667-711 (2019). MSC: 65D15 41A10 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Numer. Math. 142, No. 3, 667--711 (2019; Zbl 1415.65030) Full Text: DOI arXiv
Li, Chen; Adcock, Ben Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class. (English) Zbl 1415.94162 Appl. Comput. Harmon. Anal. 46, No. 3, 453-477 (2019). MSC: 94A12 65T99 PDFBibTeX XMLCite \textit{C. Li} and \textit{B. Adcock}, Appl. Comput. Harmon. Anal. 46, No. 3, 453--477 (2019; Zbl 1415.94162) Full Text: DOI arXiv
Adcock, Ben; Gataric, Milana; Romero, José Luis Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates. (English) Zbl 1459.42003 Appl. Comput. Harmon. Anal. 46, No. 2, 226-249 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 42A10 42C15 42C40 94A20 94A11 65T40 65T60 PDFBibTeX XMLCite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 46, No. 2, 226--249 (2019; Zbl 1459.42003) Full Text: DOI arXiv
Adcock, Ben; Gelb, Anne; Song, Guohui; Sui, Yi Joint sparse recovery based on variances. (English) Zbl 1454.94020 SIAM J. Sci. Comput. 41, No. 1, A246-A268 (2019). Reviewer: Constantin Popa (Constanţa) MSC: 94A12 65F22 65K10 PDFBibTeX XMLCite \textit{B. Adcock} et al., SIAM J. Sci. Comput. 41, No. 1, A246--A268 (2019; Zbl 1454.94020) Full Text: DOI
Adcock, Ben; Bao, Anyi; Jakeman, John D.; Narayan, Akil Compressed sensing with sparse corruptions: fault-tolerant sparse collocation approximations. (English) Zbl 1405.42001 SIAM/ASA J. Uncertain. Quantif. 6, 1424-1453 (2018). MSC: 42A10 41A10 65D15 PDFBibTeX XMLCite \textit{B. Adcock} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1424--1453 (2018; Zbl 1405.42001) Full Text: DOI arXiv
Adcock, Ben Infinite-dimensional compressed sensing and function interpolation. (English) Zbl 1396.41001 Found. Comput. Math. 18, No. 3, 661-701 (2018). Reviewer: Antonio López Carmona (Granada) MSC: 41A05 41A10 94A12 PDFBibTeX XMLCite \textit{B. Adcock}, Found. Comput. Math. 18, No. 3, 661--701 (2018; Zbl 1396.41001) Full Text: DOI arXiv
Adcock, Ben; Gataric, Milana; Hansen, Anders C. Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements. (English) Zbl 1380.42023 J. Fourier Anal. Appl. 23, No. 6, 1311-1347 (2017). MSC: 42C15 94A20 41A05 PDFBibTeX XMLCite \textit{B. Adcock} et al., J. Fourier Anal. Appl. 23, No. 6, 1311--1347 (2017; Zbl 1380.42023) Full Text: DOI arXiv
Adcock, Ben Infinite-dimensional \(\ell ^1\) minimization and function approximation from pointwise data. (English) Zbl 1367.41012 Constr. Approx. 45, No. 3, 345-390 (2017). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A25 41A05 41A10 PDFBibTeX XMLCite \textit{B. Adcock}, Constr. Approx. 45, No. 3, 345--390 (2017; Zbl 1367.41012) Full Text: DOI arXiv
Adcock, Ben; Gataric, Milana; Hansen, Anders C. Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples. (English) Zbl 1401.42030 Appl. Comput. Harmon. Anal. 42, No. 3, 508-535 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 65T40 94A20 94A08 PDFBibTeX XMLCite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 42, No. 3, 508--535 (2017; Zbl 1401.42030) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C.; Poon, Clarice; Roman, Bogdan Breaking the coherence barrier: a new theory for compressed sensing. (English) Zbl 1410.94030 Forum Math. Sigma 5, Paper No. e4, 84 p. (2017). MSC: 94A20 94A08 42C40 65R32 92C55 PDFBibTeX XMLCite \textit{B. Adcock} et al., Forum Math. Sigma 5, Paper No. e4, 84 p. (2017; Zbl 1410.94030) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C. Generalized sampling and infinite-dimensional compressed sensing. (English) Zbl 1379.94026 Found. Comput. Math. 16, No. 5, 1263-1323 (2016). MSC: 94A20 94A12 42C40 15B52 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{A. C. Hansen}, Found. Comput. Math. 16, No. 5, 1263--1323 (2016; Zbl 1379.94026) Full Text: DOI Link
Adcock, Ben; Platte, Rodrigo B. A mapped polynomial method for high-accuracy approximations on arbitrary grids. (English) Zbl 1342.65088 SIAM J. Numer. Anal. 54, No. 4, 2256-2281 (2016). MSC: 65D15 65D05 65T50 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{R. B. Platte}, SIAM J. Numer. Anal. 54, No. 4, 2256--2281 (2016; Zbl 1342.65088) Full Text: DOI
Adcock, Ben; Gataric, Milana; Hansen, Andres C. Recovering piecewise smooth functions from nonuniform Fourier measurements. (English) Zbl 1351.42008 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 117-125 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 42A38 65T99 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Lect. Notes Comput. Sci. Eng. 106, 117--125 (2015; Zbl 1351.42008) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C.; Roman, Bogdan The quest for optimal sampling: computationally efficient, structure-exploiting measurements for compressed sensing. (English) Zbl 1333.94014 Boche, Holger (ed.) et al., Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-16041-2/hbk; 978-3-319-16042-9/ebook). Applied and Numerical Harmonic Analysis, 143-167 (2015). MSC: 94A12 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., in: Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Cham: Birkhäuser/Springer. 143--167 (2015; Zbl 1333.94014) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. (English) Zbl 1331.42036 SIAM J. Math. Anal. 47, No. 2, 1196-1233 (2015). Reviewer: Margit Pap (Pécs) MSC: 42C40 65T60 94A08 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., SIAM J. Math. Anal. 47, No. 2, 1196--1233 (2015; Zbl 1331.42036) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C. Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients. (English) Zbl 1312.41010 Math. Comput. 84, No. 291, 237-270 (2015). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A25 42A10 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{A. C. Hansen}, Math. Comput. 84, No. 291, 237--270 (2015; Zbl 1312.41010) Full Text: DOI
Adcock, Ben; Huybrechs, Daan On the resolution power of Fourier extensions for oscillatory functions. (English) Zbl 1293.65177 J. Comput. Appl. Math. 260, 312-336 (2014). MSC: 65T40 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{D. Huybrechs}, J. Comput. Appl. Math. 260, 312--336 (2014; Zbl 1293.65177) Full Text: DOI arXiv
Adcock, B.; Hansen, A. C.; Poon, C. On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate. (English) Zbl 1293.42037 Appl. Comput. Harmon. Anal. 36, No. 3, 387-415 (2014). MSC: 42C40 PDFBibTeX XMLCite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 36, No. 3, 387--415 (2014; Zbl 1293.42037) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C. A generalized sampling theorem for stable reconstructions in arbitrary bases. (English) Zbl 1259.94035 J. Fourier Anal. Appl. 18, No. 4, 685-716 (2012). MSC: 94A20 42C40 65T60 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{A. C. Hansen}, J. Fourier Anal. Appl. 18, No. 4, 685--716 (2012; Zbl 1259.94035) Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C. Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon. (English) Zbl 1245.94058 Appl. Comput. Harmon. Anal. 32, No. 3, 357-388 (2012). Reviewer: Toivo Leiger (Tartu) MSC: 94A20 46C05 42C15 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{A. C. Hansen}, Appl. Comput. Harmon. Anal. 32, No. 3, 357--388 (2012; Zbl 1245.94058) Full Text: DOI arXiv