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Author ID: lim.lek-heng Recent zbMATH articles by "Lim, Lek-Heng"
Published as: Lim, Lek-Heng; Lim, L. H.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 1,084 times in 814 Documents Cited by Year
Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038
de Silva, Vin; Lim, Lek-Heng
266
2008
Most tensor problems are NP-hard. Zbl 1281.68126
Hillar, Christopher J.; Lim, Lek-Heng
233
2013
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
183
2008
Nuclear norm of higher-order tensors. Zbl 1383.15018
Friedland, Shmuel; Lim, Lek-Heng
50
2018
Quasi-Newton methods on Grassmannians and multilinear approximations of tensors. Zbl 1226.65058
Savas, Berkant; Lim, Lek-Heng
44
2010
Statistical ranking and combinatorial Hodge theory. Zbl 1210.90142
Jiang, Xiaoye; Lim, Lek-Heng; Yao, Yuan; Ye, Yinyu
38
2011
Multilinear PageRank. Zbl 1330.15029
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang
27
2015
Every matrix is a product of Toeplitz matrices. Zbl 1342.15024
Ye, Ke; Lim, Lek-Heng
23
2016
Hodge Laplacians on graphs. Zbl 1453.05061
Lim, Lek-Heng
23
2020
Multiarray signal processing: tensor decomposition meets compressed sensing. Zbl 1220.94018
Lim, Lek-Heng; Comon, Pierre
23
2010
Blind multilinear identification. Zbl 1364.94139
Lim, Lek-Heng; Comon, Pierre
23
2014
Semialgebraic geometry of nonnegative tensor rank. Zbl 1349.14183
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
20
2016
Schubert varieties and distances between subspaces of different dimensions. Zbl 1365.14065
Ye, Ke; Lim, Lek-Heng
19
2016
The spacey random walk: a stochastic process for higher-order data. Zbl 1365.15033
Benson, Austin R.; Gleich, David F.; Lim, Lek-Heng
16
2017
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
12
2001
Uniqueness of nonnegative tensor approximations. Zbl 1359.94155
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
10
2016
ParNes: A rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals. Zbl 1284.65055
Gu, Ming; Lim, Lek-Heng; Wu, Cinna Julie
9
2013
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 1454.65030
Ye, Ke; Lim, Lek-Heng
8
2018
The computational complexity of duality. Zbl 1353.65144
Friedland, Shmuel; Lim, Lek-Heng
7
2016
Fast randomized iteration: diffusion Monte Carlo through the Lens of numerical linear algebra. Zbl 1371.65005
Lim, Lek-Heng; Weare, Jonathan
6
2017
Topology of tensor ranks. Zbl 1439.15001
Comon, Pierre; Lim, Lek-Heng; Qi, Yang; Ye, Ke
6
2020
Complex best \(r\)-term approximations almost always exist in finite dimensions. Zbl 1483.41010
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
6
2020
Editorial. The spectral theory of tensors and its applications. Zbl 1313.15001
Lim, Lek-Heng; Ng, Michael K.; Qi, Liquin
4
2013
Topology of deep neural networks. Zbl 07306880
Naitzat, Gregory; Zhitnikov, Andrey; Lim, Lek-Heng
4
2020
Grothendieck constant is norm of Strassen matrix multiplication tensor. Zbl 1426.15033
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
4
2019
Numerical algorithms on the affine Grassmannian. Zbl 1419.14086
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
4
2019
Tensors in computations. Zbl 1512.65079
Lim, Lek-Heng
3
2021
Ubiquity of the exponent of matrix multiplication. Zbl 07300045
Lim, Lek-Heng; Ye, Ke
2
2020
Cohomology of cryo-electron microscopy. Zbl 1377.92054
Ye, Ke; Lim, Lek-Heng
2
2017
Optimization on flag manifolds. Zbl 07550213
Ye, Ke; Sze-Wai Wong, Ken; Lim, Lek-Heng
2
2022
Geometric distance between positive definite matrices of different dimensions. Zbl 1432.15033
Lim, Lek-Heng; Sepulchre, Rodolphe; Ye, Ke
2
2019
The Grassmannian of affine subspaces. Zbl 1485.14096
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
2
2021
Fiber product homotopy method for multiparameter eigenvalue problems. Zbl 1473.65061
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng
2
2021
An elementary and unified proof of Grothendieck’s inequality. Zbl 07117762
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
1
2018
Optimization on flag manifolds. Zbl 07550213
Ye, Ke; Sze-Wai Wong, Ken; Lim, Lek-Heng
2
2022
Tensors in computations. Zbl 1512.65079
Lim, Lek-Heng
3
2021
The Grassmannian of affine subspaces. Zbl 1485.14096
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
2
2021
Fiber product homotopy method for multiparameter eigenvalue problems. Zbl 1473.65061
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng
2
2021
Hodge Laplacians on graphs. Zbl 1453.05061
Lim, Lek-Heng
23
2020
Topology of tensor ranks. Zbl 1439.15001
Comon, Pierre; Lim, Lek-Heng; Qi, Yang; Ye, Ke
6
2020
Complex best \(r\)-term approximations almost always exist in finite dimensions. Zbl 1483.41010
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
6
2020
Topology of deep neural networks. Zbl 07306880
Naitzat, Gregory; Zhitnikov, Andrey; Lim, Lek-Heng
4
2020
Ubiquity of the exponent of matrix multiplication. Zbl 07300045
Lim, Lek-Heng; Ye, Ke
2
2020
Grothendieck constant is norm of Strassen matrix multiplication tensor. Zbl 1426.15033
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
4
2019
Numerical algorithms on the affine Grassmannian. Zbl 1419.14086
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
4
2019
Geometric distance between positive definite matrices of different dimensions. Zbl 1432.15033
Lim, Lek-Heng; Sepulchre, Rodolphe; Ye, Ke
2
2019
Nuclear norm of higher-order tensors. Zbl 1383.15018
Friedland, Shmuel; Lim, Lek-Heng
50
2018
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 1454.65030
Ye, Ke; Lim, Lek-Heng
8
2018
An elementary and unified proof of Grothendieck’s inequality. Zbl 07117762
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
1
2018
The spacey random walk: a stochastic process for higher-order data. Zbl 1365.15033
Benson, Austin R.; Gleich, David F.; Lim, Lek-Heng
16
2017
Fast randomized iteration: diffusion Monte Carlo through the Lens of numerical linear algebra. Zbl 1371.65005
Lim, Lek-Heng; Weare, Jonathan
6
2017
Cohomology of cryo-electron microscopy. Zbl 1377.92054
Ye, Ke; Lim, Lek-Heng
2
2017
Every matrix is a product of Toeplitz matrices. Zbl 1342.15024
Ye, Ke; Lim, Lek-Heng
23
2016
Semialgebraic geometry of nonnegative tensor rank. Zbl 1349.14183
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
20
2016
Schubert varieties and distances between subspaces of different dimensions. Zbl 1365.14065
Ye, Ke; Lim, Lek-Heng
19
2016
Uniqueness of nonnegative tensor approximations. Zbl 1359.94155
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
10
2016
The computational complexity of duality. Zbl 1353.65144
Friedland, Shmuel; Lim, Lek-Heng
7
2016
Multilinear PageRank. Zbl 1330.15029
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang
27
2015
Blind multilinear identification. Zbl 1364.94139
Lim, Lek-Heng; Comon, Pierre
23
2014
Most tensor problems are NP-hard. Zbl 1281.68126
Hillar, Christopher J.; Lim, Lek-Heng
233
2013
ParNes: A rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals. Zbl 1284.65055
Gu, Ming; Lim, Lek-Heng; Wu, Cinna Julie
9
2013
Editorial. The spectral theory of tensors and its applications. Zbl 1313.15001
Lim, Lek-Heng; Ng, Michael K.; Qi, Liquin
4
2013
Statistical ranking and combinatorial Hodge theory. Zbl 1210.90142
Jiang, Xiaoye; Lim, Lek-Heng; Yao, Yuan; Ye, Yinyu
38
2011
Quasi-Newton methods on Grassmannians and multilinear approximations of tensors. Zbl 1226.65058
Savas, Berkant; Lim, Lek-Heng
44
2010
Multiarray signal processing: tensor decomposition meets compressed sensing. Zbl 1220.94018
Lim, Lek-Heng; Comon, Pierre
23
2010
Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038
de Silva, Vin; Lim, Lek-Heng
266
2008
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
183
2008
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
12
2001
all top 5

Cited by 1,248 Authors

23 Ballico, Edoardo
19 Lim, Lek-Heng
19 Qi, Liqun
12 Comon, Pierre
12 Ng, Michael Kwok-Po
12 Wei, Yimin
12 Zhao, Xile
11 Bernardi, Alessandra
11 De Lathauwer, Lieven
11 Friedland, Shmuel
11 Hackbusch, Wolfgang
11 Huang, Ting-Zhu
11 Nie, Jiawang
10 Hu, ShengLong
10 Vannieuwenhoven, Nick
8 Breiding, Paul
8 Che, Maolin
8 Li, Zhening
8 Ottaviani, Giorgio Maria
8 Schneider, Reinhold
8 Uschmajew, André
8 Zhang, Xinzhen
7 Derksen, Harm
7 Ji, Teng-Yu
7 Massarenti, Alex
7 Ni, Guyan
6 Absil, Pierre-Antoine
6 Chen, Haibin
6 Chiantini, Luca
6 Dutkay, Dorin Ervin
6 Kong, Xu
6 Li, Wen
6 Qi, Yang
6 Stegeman, Alwin
6 Tyrtyshnikov, Evgeniĭ Evgen’evich
6 Wang, Yiju
6 Xu, Changqing
6 Yang, Yuning
6 Zheng, Baodong
5 Bachmayr, Markus
5 Bai, Minru
5 Chen, Yannan
5 Dolgov, Sergey V.
5 Draisma, Jan
5 Fan, Jinyan
5 Jiang, Bo
5 Jiang, Tai-Xiang
5 Jiang, Yaolin
5 Mourrain, Bernard
5 Navasca, Carmeliza
5 Nouy, Anthony
5 Oseledets, Ivan Valer’evich
5 Robeva, Elina
5 Stavrou, Stavros Georgios
5 Tudisco, Francesco
5 Ventura, Emanuele
5 Venturi, Daniele
5 Xia, Dong
5 Ye, Ke
5 Yuan, Ming
5 Zeng, Chao
5 Zhang, Anru R.
5 Zhang, Xiongjun
5 Zheng, Yubang
5 Zhou, Anwa
4 Bremner, Murray R.
4 Chu, Delin
4 Evert, Eric
4 Falcó, Antonio
4 Favier, Gérard
4 Grasedyck, Lars
4 Hajarian, Masoud
4 Huang, Riguang
4 Jbilou, Khalide
4 Li, Chaoqian
4 Li, Yaotang
4 Loperfido, Nicola M. R.
4 Michałek, Mateusz
4 Ni, Qin
4 Oeding, Luke
4 Schütte, Christof
4 Seigal, Anna Leah
4 Sheng, Zhou
4 Solomonik, Edgar
4 Song, Xiaoyu
4 Sturmfels, Bernd
4 Teitler, Zach
4 Usevich, Konstantin
4 Xu, Yanwei
4 Yan, Hong
4 Yang, Zi
4 Zheng, Bing
4 Zhu, Yizhe
3 Behera, Ratikanta
3 Benson, Austin R.
3 Bentbib, Abdeslem Hafid
3 Bozorgmanesh, Hassan
3 Bu, Changjiang
3 Cardoso, Kauê
3 Casarotti, Alex
...and 1,148 more Authors
all top 5

Cited in 229 Serials

66 Linear Algebra and its Applications
48 SIAM Journal on Matrix Analysis and Applications
41 Linear and Multilinear Algebra
21 SIAM Journal on Scientific Computing
21 Foundations of Computational Mathematics
18 Journal of Scientific Computing
16 Journal of Computational and Applied Mathematics
15 Journal of Computational Physics
15 Computational Optimization and Applications
13 Journal of Machine Learning Research (JMLR)
13 Frontiers of Mathematics in China
12 Journal of Symbolic Computation
12 SIAM Journal on Optimization
11 Numerische Mathematik
11 SIAM Journal on Applied Algebra and Geometry
11 SIAM Journal on Mathematics of Data Science
10 Mathematical Programming. Series A. Series B
10 Computational and Applied Mathematics
9 The Annals of Statistics
8 Journal of Mathematical Physics
8 Applied Numerical Mathematics
8 SIAM Review
8 Numerical Linear Algebra with Applications
8 SIAM Journal on Imaging Sciences
7 Applied and Computational Harmonic Analysis
6 Applied Mathematics and Computation
6 Calcolo
6 Journal of Optimization Theory and Applications
6 Transactions of the American Mathematical Society
6 Numerical Algorithms
6 Acta Numerica
5 Mathematics of Operations Research
5 Operations Research
5 Constructive Approximation
4 Computer Methods in Applied Mechanics and Engineering
4 Psychometrika
4 Mathematics of Computation
4 Advances in Mathematics
4 Information Sciences
4 Journal of Multivariate Analysis
4 Advances in Applied Mathematics
4 Discrete & Computational Geometry
4 Applied Mathematics Letters
4 Machine Learning
4 Journal of Global Optimization
4 Advances in Computational Mathematics
4 Vietnam Journal of Mathematics
4 Journal of Industrial and Management Optimization
4 Science China. Mathematics
4 Mathematics
4 Open Mathematics
3 Computers & Mathematics with Applications
3 Journal of Mathematical Analysis and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Collectanea Mathematica
3 Journal of Algebra
3 Bulletin of the Iranian Mathematical Society
3 Multidimensional Systems and Signal Processing
3 Advances in Applied Clifford Algebras
3 Optimization Methods & Software
3 Computational Methods in Applied Mathematics
3 Quantum Information Processing
3 Optimization Letters
3 Inverse Problems and Imaging
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Control
2 Inverse Problems
2 Journal of the Franklin Institute
2 Letters in Mathematical Physics
2 Physics Reports
2 Acta Mathematica Vietnamica
2 BIT
2 Journal of the American Statistical Association
2 Journal of Pure and Applied Algebra
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Numerical Functional Analysis and Optimization
2 Proceedings of the American Mathematical Society
2 Mathematica Numerica Sinica
2 Physica D
2 Journal of Complexity
2 Neural Networks
2 Neural Computation
2 Japan Journal of Industrial and Applied Mathematics
2 The Annals of Applied Probability
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 Computational Statistics and Data Analysis
2 ETNA. Electronic Transactions on Numerical Analysis
2 The Electronic Journal of Combinatorics
2 Bernoulli
2 The Journal of Fourier Analysis and Applications
2 Chaos
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 Mediterranean Journal of Mathematics
2 The Australian Journal of Mathematical Analysis and Applications
2 Complex Analysis and Operator Theory
2 Advances in Data Analysis and Classification. ADAC
...and 129 more Serials
all top 5

Cited in 54 Fields

460 Linear and multilinear algebra; matrix theory (15-XX)
299 Numerical analysis (65-XX)
132 Operations research, mathematical programming (90-XX)
112 Computer science (68-XX)
100 Algebraic geometry (14-XX)
95 Statistics (62-XX)
49 Combinatorics (05-XX)
48 Information and communication theory, circuits (94-XX)
46 Probability theory and stochastic processes (60-XX)
32 Quantum theory (81-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
26 Differential geometry (53-XX)
25 Commutative algebra (13-XX)
25 Operator theory (47-XX)
24 Partial differential equations (35-XX)
24 Functional analysis (46-XX)
23 Approximations and expansions (41-XX)
19 Functions of a complex variable (30-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
17 Biology and other natural sciences (92-XX)
17 Systems theory; control (93-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Convex and discrete geometry (52-XX)
15 Algebraic topology (55-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Manifolds and cell complexes (57-XX)
11 Number theory (11-XX)
11 Mechanics of deformable solids (74-XX)
9 Geometry (51-XX)
9 Fluid mechanics (76-XX)
8 Group theory and generalizations (20-XX)
7 Topological groups, Lie groups (22-XX)
6 Measure and integration (28-XX)
5 Field theory and polynomials (12-XX)
5 Real functions (26-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Integral transforms, operational calculus (44-XX)
4 General topology (54-XX)
4 Optics, electromagnetic theory (78-XX)
4 Relativity and gravitational theory (83-XX)
3 Mathematical logic and foundations (03-XX)
3 Nonassociative rings and algebras (17-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year