Prater-Bennette, Ashley; Shen, Lixin; Tripp, Erin E. A constructive approach for computing the proximity operator of the \(p\)-th power of the \(\ell_1\) norm. (English) Zbl 07740085 Appl. Comput. Harmon. Anal. 67, Article ID 101572, 12 p. (2023). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{A. Prater-Bennette} et al., Appl. Comput. Harmon. Anal. 67, Article ID 101572, 12 p. (2023; Zbl 07740085) Full Text: DOI
Li, Qiuwei; Prater, Ashley; Shen, Lixin; Tang, Gongguo A super-resolution framework for tensor decomposition. (English) Zbl 1510.15043 Inf. Inference 11, No. 4, 1287-1328 (2022). MSC: 15A69 15A23 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., Inf. Inference 11, No. 4, 1287--1328 (2022; Zbl 1510.15043) Full Text: DOI arXiv
Li, Qia; Shen, Lixin; Zhang, Na; Zhou, Junpeng A proximal algorithm with backtracked extrapolation for a class of structured fractional programming. (English) Zbl 1480.90238 Appl. Comput. Harmon. Anal. 56, 98-122 (2022). MSC: 90C32 90C26 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Comput. Harmon. Anal. 56, 98--122 (2022; Zbl 1480.90238) Full Text: DOI
Xu, Chen; Liu, Xiaoxia; Zheng, Jian; Shen, Lixin; Jiang, Qingtang; Lu, Jian Nonlocal low-rank regularized two-phase approach for mixed noise removal. (English) Zbl 1469.94018 Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021). MSC: 94A08 90C25 68U10 65D18 PDFBibTeX XMLCite \textit{C. Xu} et al., Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021; Zbl 1469.94018) Full Text: DOI
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Algorithmic versatility of SPF-regularization methods. (English) Zbl 1512.94007 Anal. Appl., Singap. 19, No. 1, 43-69 (2021). MSC: 94A08 94A12 90C25 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Anal. Appl., Singap. 19, No. 1, 43--69 (2021; Zbl 1512.94007) Full Text: DOI arXiv
Farnham, Stephen D.; Shen, Lixin; Suter, Bruce W. Principal component projection with low-degree polynomials. (English) Zbl 1497.62142 J. Sci. Comput. 85, No. 2, Paper No. 52, 25 p. (2020). MSC: 62H25 65C20 PDFBibTeX XMLCite \textit{S. D. Farnham} et al., J. Sci. Comput. 85, No. 2, Paper No. 52, 25 p. (2020; Zbl 1497.62142) Full Text: DOI arXiv
Liu, Xiaoxia; Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal: nonlocal low-rank model and its proximal alternating reweighted minimization algorithm. (English) Zbl 1501.94003 SIAM J. Imaging Sci. 13, No. 3, 1595-1629 (2020). MSC: 94A08 94A12 90C26 15A03 46N10 65F22 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Imaging Sci. 13, No. 3, 1595--1629 (2020; Zbl 1501.94003) Full Text: DOI arXiv
Lu, Jian; Tian, Jiapeng; Shen, Lixin; Jiang, Qingtang; Zeng, Xueying; Zou, Yuru Rician noise removal via a learned dictionary. (English) Zbl 1435.94035 Math. Probl. Eng. 2019, Article ID 8535206, 13 p. (2019). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{J. Lu} et al., Math. Probl. Eng. 2019, Article ID 8535206, 13 p. (2019; Zbl 1435.94035) Full Text: DOI
Zeng, Xueying; Shen, Lixin; Xu, Yuesheng; Lu, Jian Matrix completion via minimizing an approximate rank. (English) Zbl 1425.65057 Anal. Appl., Singap. 17, No. 5, 689-713 (2019). MSC: 65F22 49N45 68W25 PDFBibTeX XMLCite \textit{X. Zeng} et al., Anal. Appl., Singap. 17, No. 5, 689--713 (2019; Zbl 1425.65057) Full Text: DOI
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Structured sparsity promoting functions. (English) Zbl 1428.90140 J. Optim. Theory Appl. 183, No. 2, 386-421 (2019). MSC: 90C26 90C30 65K99 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Optim. Theory Appl. 183, No. 2, 386--421 (2019; Zbl 1428.90140) Full Text: DOI arXiv
Lu, Jian; Yang, Zeping; Shen, Lixin; Lu, Zhaosong; Yang, Hanmei; Xu, Chen A framelet algorithm for de-blurring images corrupted by multiplicative noise. (English) Zbl 1460.94010 Appl. Math. Modelling 62, 51-61 (2018). MSC: 94A08 94C15 65T60 90C25 65D18 PDFBibTeX XMLCite \textit{J. Lu} et al., Appl. Math. Modelling 62, 51--61 (2018; Zbl 1460.94010) Full Text: DOI
Lu, Jian; Chen, Yupeng; Zou, Yuru; Shen, Lixin A new total variation model for restoring blurred and Speckle noisy images. (English) Zbl 1362.65040 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65F10 65F22 68U10 PDFBibTeX XMLCite \textit{J. Lu} et al., Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017; Zbl 1362.65040) Full Text: DOI
Liu, Yuzhen; Shen, Lixin; Xu, Yuesheng; Yang, Hongqi A collocation method solving integral equation models for image restoration. (English) Zbl 1347.65197 J. Integral Equations Appl. 28, No. 2, 263-307 (2016). MSC: 65R20 65R32 94A08 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Integral Equations Appl. 28, No. 2, 263--307 (2016; Zbl 1347.65197) Full Text: DOI Euclid
Li, Yan-Ran; Chan, Raymond H.; Shen, Lixin; Hsu, Yung-Chin; Tseng, Wen-Yih Isaac An adaptive directional Haar framelet-based reconstruction algorithm for parallel magnetic resonance imaging. (English) Zbl 1366.94057 SIAM J. Imaging Sci. 9, No. 2, 794-821 (2016). MSC: 94A08 65K10 65T60 68U10 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., SIAM J. Imaging Sci. 9, No. 2, 794--821 (2016; Zbl 1366.94057) Full Text: DOI
Shen, Lixin; Xu, Yuesheng; Zeng, Xueying Wavelet inpainting with the \(\ell_{0}\) sparse regularization. (English) Zbl 1338.65061 Appl. Comput. Harmon. Anal. 41, No. 1, 26-53 (2016). MSC: 65D18 94A08 65T50 65T60 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 41, No. 1, 26--53 (2016; Zbl 1338.65061) Full Text: DOI
Dai, Dao-Qing; Shen, Lixin; Xu, Yuesheng; Zhang, Na Noisy 1-bit compressive sensing: models and algorithms. (English) Zbl 1331.65085 Appl. Comput. Harmon. Anal. 40, No. 1, 1-32 (2016). MSC: 65K05 94A12 90C30 PDFBibTeX XMLCite \textit{D.-Q. Dai} et al., Appl. Comput. Harmon. Anal. 40, No. 1, 1--32 (2016; Zbl 1331.65085) Full Text: DOI
Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. (English) Zbl 1326.65069 Adv. Comput. Math. 41, No. 2, 387-422 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 94A08 90C26 65D18 PDFBibTeX XMLCite \textit{Q. Li} et al., Adv. Comput. Math. 41, No. 2, 387--422 (2015; Zbl 1326.65069) Full Text: DOI
Chen, Feishe; Shen, Lixin; Suter, Bruce W.; Xu, Yuesheng Reprint of “Nesterov’s algorithm solving dual formulation for compressed sensing”. (English) Zbl 1293.65091 J. Comput. Appl. Math. 265, 52-68 (2014). MSC: 65K10 94A12 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Comput. Appl. Math. 265, 52--68 (2014; Zbl 1293.65091) Full Text: DOI
Chen, Feishe; Shen, Lixin; Suter, Bruce W.; Xu, Yuesheng Nesterov’s algorithm solving dual formulation for compressed sensing. (English) Zbl 1293.65090 J. Comput. Appl. Math. 260, 1-17 (2014); reprint ibid. 265, 52-68 (2014). MSC: 65K10 94A12 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Comput. Appl. Math. 260, 1--17 (2014; Zbl 1293.65090) Full Text: DOI
Shen, Lixin; Xu, Yuesheng; Zhang, Na An approximate sparsity model for inpainting. (English) Zbl 1294.65027 Appl. Comput. Harmon. Anal. 37, No. 1, 171-184 (2014). MSC: 65D18 90C26 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 37, No. 1, 171--184 (2014; Zbl 1294.65027) Full Text: DOI
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying Proximity algorithms for the L1/TV image denoising model. (English) Zbl 1275.65014 Adv. Comput. Math. 38, No. 2, 401-426 (2013). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 68U10 94A08 65D19 92C55 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Adv. Comput. Math. 38, No. 2, 401--426 (2013; Zbl 1275.65014) Full Text: DOI
Krol, Andrzej; Li, Si; Shen, Lixin; Xu, Yuesheng Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction. (English) Zbl 1270.94018 Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012). MSC: 94A08 65J22 65K10 PDFBibTeX XMLCite \textit{A. Krol} et al., Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012; Zbl 1270.94018) Full Text: DOI
Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. (English) Zbl 1273.65085 Inverse Probl. 28, No. 9, Article ID 095003, 20 p. (2012). Reviewer: Majid Soleimani-Damaneh (Tehran) MSC: 65K10 94A08 65D18 PDFBibTeX XMLCite \textit{Q. Li} et al., Inverse Probl. 28, No. 9, Article ID 095003, 20 p. (2012; Zbl 1273.65085) Full Text: DOI
Li, Qia; Shen, Lixin; Yang, Lihua Split-Bregman iteration for framelet based image inpainting. (English) Zbl 1236.94021 Appl. Comput. Harmon. Anal. 32, No. 1, 145-154 (2012). MSC: 94A08 65T60 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Comput. Harmon. Anal. 32, No. 1, 145--154 (2012; Zbl 1236.94021) Full Text: DOI
Li, Yan-Ran; Shen, Lixin; Dai, Dao-Qing; Suter, Bruce W. Framelet algorithms for de-blurring images corrupted by impulse plus Gaussian noise. (English) Zbl 1372.94153 IEEE Trans. Image Process. 20, No. 7, 1822-1837 (2011). MSC: 94A08 94A11 68U10 42C40 65T60 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., IEEE Trans. Image Process. 20, No. 7, 1822--1837 (2011; Zbl 1372.94153) Full Text: DOI
Lian, Qiaofang; Shen, Lixin; Xu, Yuesheng; Yang, Lihua Filters of wavelets on invariant sets for image denoising. (English) Zbl 1248.94017 Appl. Anal. 90, No. 7-8, 1299-1322 (2011). MSC: 94A08 42C40 65T60 PDFBibTeX XMLCite \textit{Q. Lian} et al., Appl. Anal. 90, No. 7--8, 1299--1322 (2011; Zbl 1248.94017) Full Text: DOI
Shen, Lixin; Suter, Bruce W. Eigengaps for hub-dominant matrices. (English) Zbl 1259.15028 Appl. Anal. 90, No. 7-8, 1227-1242 (2011). MSC: 15A42 42C15 65T60 65F15 PDFBibTeX XMLCite \textit{L. Shen} and \textit{B. W. Suter}, Appl. Anal. 90, No. 7--8, 1227--1242 (2011; Zbl 1259.15028) Full Text: DOI
Lu, Yao; Shen, Lixin; Xu, Yuesheng Integral equation models for image restoration: high accuracy methods and fast algorithms. (English) Zbl 1256.94012 Inverse Probl. 26, No. 4, Article ID 045006, 32 p. (2010). MSC: 94A08 65R20 92C55 PDFBibTeX XMLCite \textit{Y. Lu} et al., Inverse Probl. 26, No. 4, Article ID 045006, 32 p. (2010; Zbl 1256.94012) Full Text: DOI Link
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Restoration of chopped and nodded images by framelets. (English) Zbl 1161.94303 SIAM J. Sci. Comput. 30, No. 3, 1205-1227 (2008). MSC: 94A08 42C40 65T60 68U10 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Sci. Comput. 30, No. 3, 1205--1227 (2008; Zbl 1161.94303) Full Text: DOI
Shen, Lixin; Shen, Zuowei Compression with time-frequency localization filters. (English) Zbl 1099.65153 Chen, Guanrong (ed.) et al., Wavelets and splines: Athens 2005. Papers based on lectures presented at the international conference on interactions between wavelets and splines, Athens, GA, USA, May 16–19, 2005. In honor of Professor Charles K. Chui on the occasion of his 65th birthday. Brentwood: Nashboro Press (ISBN 0-9728482-6-6/hbk). Modern Methods in Mathematics, 428-443 (2006). MSC: 65T60 94A08 94A12 PDFBibTeX XMLCite \textit{L. Shen} and \textit{Z. Shen}, in: Wavelets and splines: Athens 2005. Papers based on lectures presented at the international conference on interactions between wavelets and splines, Athens, GA, USA, May 16--19, 2005. In honor of Professor Charles K. Chui on the occasion of his 65th birthday. Brentwood: Nashboro Press. 428--443 (2006; Zbl 1099.65153)
Lu, Yao; Shen, Lixin; Xu, Yuesheng Shadow block iteration for solving linear systems obtained from wavelet transforms. (English) Zbl 1086.65029 Appl. Comput. Harmon. Anal. 19, No. 3, 359-385 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F10 65T60 94A08 PDFBibTeX XMLCite \textit{Y. Lu} et al., Appl. Comput. Harmon. Anal. 19, No. 3, 359--385 (2005; Zbl 1086.65029) Full Text: DOI
Yang, Jiansheng; Shen, Lixin; Papadakis, Manos; Kakadiaris, Ioannis; Kouri, Donald J.; Hoffman, David K. Orthonormal wavelets arising from HDAFs. (English) Zbl 1071.42028 Heil, Christopher (ed.) et al., Wavelets, frames and operator theory. Papers from the Focused Research Group Workshop, University of Maryland, College Park, MD, USA, January 15–21, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3380-4/pbk). Contemporary Mathematics 345, 317-342 (2004). Reviewer: Qiyu Sun (Orlando) MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{J. Yang} et al., Contemp. Math. 345, 317--342 (2004; Zbl 1071.42028)
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei Tight frame: an efficient way for high-resolution image reconstruction. (English) Zbl 1046.42026 Appl. Comput. Harmon. Anal. 17, No. 1, 91-115 (2004). MSC: 42C40 65T60 68U10 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Appl. Comput. Harmon. Anal. 17, No. 1, 91--115 (2004; Zbl 1046.42026) Full Text: DOI
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet algorithms for high-resolution image reconstruction. (English) Zbl 1031.68127 SIAM J. Sci. Comput. 24, No. 4, 1408-1432 (2003). MSC: 68U10 65T60 42C40 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., SIAM J. Sci. Comput. 24, No. 4, 1408--1432 (2003; Zbl 1031.68127) Full Text: DOI
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. (English) Zbl 1025.65064 Linear Algebra Appl. 366, 139-155 (2003). MSC: 65T60 94A08 68U10 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Linear Algebra Appl. 366, 139--155 (2003; Zbl 1025.65064) Full Text: DOI
Shen, Lixin; Tan, Hwee Huat; Tham, Jo Yew Some properties of symmetric-antisymmetric orthonormal multiwavelets. (English) Zbl 0993.94522 IEEE Trans. Signal Process. 48, No. 7, 2161-2163 (2000). MSC: 94A11 65T60 93E11 PDFBibTeX XMLCite \textit{L. Shen} et al., IEEE Trans. Signal Process. 48, No. 7, 2161--2163 (2000; Zbl 0993.94522) Full Text: DOI Link
Tham, Jo Yew; Shen, Lixin; Lee, Seng Luan; Tan, Hwee Huat A general approach for analysis and application of discrete multiwavelet transforms. (English) Zbl 1015.94503 IEEE Trans. Signal Process. 48, No. 2, 457-464 (2000). MSC: 94A08 65T60 PDFBibTeX XMLCite \textit{J. Y. Tham} et al., IEEE Trans. Signal Process. 48, No. 2, 457--464 (2000; Zbl 1015.94503) Full Text: DOI Link
Shen, L.; Tan, H. H.; Tham, J. Y. Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets. (English) Zbl 0973.42030 Appl. Comput. Harmon. Anal. 8, No. 3, 258-279 (2000). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 65T60 94A08 68U10 41A30 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 8, No. 3, 258--279 (2000; Zbl 0973.42030) Full Text: DOI
Tan, Hwee Huat; Shen, Li-Xin; Thamm Jo Yew New biorthogonal multiwavelets for image incompression. (English) Zbl 1002.94503 Signal Process. 79, No. 1, 45-65 (1999). MSC: 94A08 65T60 68U10 PDFBibTeX XMLCite \textit{H. H. Tan} et al., Signal Process. 79, No. 1, 45--65 (1999; Zbl 1002.94503) Full Text: DOI