Liu, Yucong; Jiao, Simiao; Lim, Lek-Heng Lu decomposition and Toeplitz decomposition of a neural network. (English) Zbl 07796949 Appl. Comput. Harmon. Anal. 68, Article ID 101601, 12 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 68T05 65F15 15A23 15B05 41A30 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Comput. Harmon. Anal. 68, Article ID 101601, 12 p. (2024; Zbl 07796949) Full Text: DOI arXiv
Dai, Zhen; Lim, Lek-Heng Numerical stability and tensor nuclear norm. (English) Zbl 07819968 Numer. Math. 155, No. 3-4, 345-376 (2023). MSC: 65F05 PDFBibTeX XMLCite \textit{Z. Dai} and \textit{L.-H. Lim}, Numer. Math. 155, No. 3--4, 345--376 (2023; Zbl 07819968) Full Text: DOI arXiv
Ye, Ke; Sze-Wai Wong, Ken; Lim, Lek-Heng Optimization on flag manifolds. (English) Zbl 07550213 Math. Program. 194, No. 1-2 (A), 621-660 (2022). MSC: 62H12 14M15 90C30 62H10 68T10 PDFBibTeX XMLCite \textit{K. Ye} et al., Math. Program. 194, No. 1--2 (A), 621--660 (2022; Zbl 07550213) Full Text: DOI arXiv
Lim, Lek-Heng; Michałek, Mateusz; Qi, Yang Best \(k\)-layer neural network approximations. (English) Zbl 1501.41005 Constr. Approx. 55, No. 1, 583-604 (2022). MSC: 41A30 41A50 68T05 92B20 PDFBibTeX XMLCite \textit{L.-H. Lim} et al., Constr. Approx. 55, No. 1, 583--604 (2022; Zbl 1501.41005) Full Text: DOI arXiv
Lim, Lek-Heng Tensors in computations. (English) Zbl 1512.65079 Acta Numerica 30, 555-764 (2021). MSC: 65F99 15A69 65-02 PDFBibTeX XMLCite \textit{L.-H. Lim}, Acta Numerica 30, 555--764 (2021; Zbl 1512.65079) Full Text: DOI arXiv
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke The Grassmannian of affine subspaces. (English) Zbl 1485.14096 Found. Comput. Math. 21, No. 2, 537-574 (2021). Reviewer: Emilia Mezzetti (Trieste) MSC: 14M15 22F30 46T12 53C30 57R22 62H10 PDFBibTeX XMLCite \textit{L.-H. Lim} et al., Found. Comput. Math. 21, No. 2, 537--574 (2021; Zbl 1485.14096) Full Text: DOI arXiv
Naitzat, Gregory; Zhitnikov, Andrey; Lim, Lek-Heng Topology of deep neural networks. (English) Zbl 1527.68207 J. Mach. Learn. Res. 21, Paper No. 184, 40 p. (2020). MSC: 68T07 55N31 68U03 PDFBibTeX XMLCite \textit{G. Naitzat} et al., J. Mach. Learn. Res. 21, Paper No. 184, 40 p. (2020; Zbl 1527.68207) Full Text: arXiv Link
Lim, Lek-Heng Hodge Laplacians on graphs. (English) Zbl 1453.05061 SIAM Rev. 62, No. 3, 685-715 (2020). MSC: 05C50 58A14 20G10 PDFBibTeX XMLCite \textit{L.-H. Lim}, SIAM Rev. 62, No. 3, 685--715 (2020; Zbl 1453.05061) Full Text: DOI arXiv
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng Complex best \(r\)-term approximations almost always exist in finite dimensions. (English) Zbl 1483.41010 Appl. Comput. Harmon. Anal. 49, No. 1, 180-207 (2020). MSC: 41A46 15A69 30E10 41A52 PDFBibTeX XMLCite \textit{Y. Qi} et al., Appl. Comput. Harmon. Anal. 49, No. 1, 180--207 (2020; Zbl 1483.41010) Full Text: DOI arXiv
Comon, Pierre; Lim, Lek-Heng; Qi, Yang; Ye, Ke Topology of tensor ranks. (English) Zbl 1439.15001 Adv. Math. 367, Article ID 107128, 46 p. (2020). Reviewer: Ivan Ivanšić (Zagreb) MSC: 15A03 15A69 54D05 55Q05 PDFBibTeX XMLCite \textit{P. Comon} et al., Adv. Math. 367, Article ID 107128, 46 p. (2020; Zbl 1439.15001) Full Text: DOI arXiv
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie Grothendieck constant is norm of Strassen matrix multiplication tensor. (English) Zbl 1426.15033 Numer. Math. 143, No. 4, 905-922 (2019). MSC: 15A60 15A69 47A80 65Y20 68Q15 PDFBibTeX XMLCite \textit{S. Friedland} et al., Numer. Math. 143, No. 4, 905--922 (2019; Zbl 1426.15033) Full Text: DOI arXiv
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke Numerical algorithms on the affine Grassmannian. (English) Zbl 1419.14086 SIAM J. Matrix Anal. Appl. 40, No. 2, 371-393 (2019). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q15 65K05 14M15 65F30 90C30 PDFBibTeX XMLCite \textit{L.-H. Lim} et al., SIAM J. Matrix Anal. Appl. 40, No. 2, 371--393 (2019; Zbl 1419.14086) Full Text: DOI arXiv
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie An elementary and unified proof of Grothendieck’s inequality. (English) Zbl 07117762 Enseign. Math. (2) 64, No. 3-4, 327-351 (2018). MSC: 47A07 46B28 46B85 PDFBibTeX XMLCite \textit{S. Friedland} et al., Enseign. Math. (2) 64, No. 3--4, 327--351 (2018; Zbl 07117762) Full Text: DOI arXiv
Ye, Ke; Lim, Lek-Heng Fast structured matrix computations: tensor rank and Cohn-Umans method. (English) Zbl 1454.65030 Found. Comput. Math. 18, No. 1, 45-95 (2018). MSC: 65F99 15B05 15A69 65F50 65Y20 13P25 22D20 PDFBibTeX XMLCite \textit{K. Ye} and \textit{L.-H. Lim}, Found. Comput. Math. 18, No. 1, 45--95 (2018; Zbl 1454.65030) Full Text: DOI arXiv
Friedland, Shmuel; Lim, Lek-Heng Nuclear norm of higher-order tensors. (English) Zbl 1383.15018 Math. Comput. 87, No. 311, 1255-1281 (2018). MSC: 15A60 15A69 15A03 65F30 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{L.-H. Lim}, Math. Comput. 87, No. 311, 1255--1281 (2018; Zbl 1383.15018) Full Text: DOI arXiv
Lim, Lek-Heng Self-concordance is NP-hard. (English) Zbl 1408.90244 J. Glob. Optim. 68, No. 2, 357-366 (2017). MSC: 90C26 PDFBibTeX XMLCite \textit{L.-H. Lim}, J. Glob. Optim. 68, No. 2, 357--366 (2017; Zbl 1408.90244) Full Text: DOI arXiv
Lim, Lek-Heng; Weare, Jonathan Fast randomized iteration: diffusion Monte Carlo through the Lens of numerical linear algebra. (English) Zbl 1371.65005 SIAM Rev. 59, No. 3, 547-587 (2017). MSC: 65C05 65F10 65F15 65F60 PDFBibTeX XMLCite \textit{L.-H. Lim} and \textit{J. Weare}, SIAM Rev. 59, No. 3, 547--587 (2017; Zbl 1371.65005) Full Text: DOI arXiv
Qi, Yang; Comon, Pierre; Lim, Lek-Heng Semialgebraic geometry of nonnegative tensor rank. (English) Zbl 1349.14183 SIAM J. Matrix Anal. Appl. 37, No. 4, 1556-1580 (2016). MSC: 14P10 15A69 41A50 41A52 PDFBibTeX XMLCite \textit{Y. Qi} et al., SIAM J. Matrix Anal. Appl. 37, No. 4, 1556--1580 (2016; Zbl 1349.14183) Full Text: DOI arXiv
Friedland, Shmuel; Lim, Lek-Heng The computational complexity of duality. (English) Zbl 1353.65144 SIAM J. Optim. 26, No. 4, 2378-2393 (2016). MSC: 65Y20 65K05 90C25 15B48 52A41 65F35 90C46 90C60 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{L.-H. Lim}, SIAM J. Optim. 26, No. 4, 2378--2393 (2016; Zbl 1353.65144) Full Text: DOI arXiv
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang Multilinear PageRank. (English) Zbl 1330.15029 SIAM J. Matrix Anal. Appl. 36, No. 4, 1507-1541 (2015). MSC: 15A69 05C81 05C82 05C65 15B51 60J20 65H10 90C35 PDFBibTeX XMLCite \textit{D. F. Gleich} et al., SIAM J. Matrix Anal. Appl. 36, No. 4, 1507--1541 (2015; Zbl 1330.15029) Full Text: DOI arXiv