Lek-Heng Lim

Orcid: 0000-0002-9808-0138

According to our database1, Lek-Heng Lim authored at least 64 papers between 2000 and 2023.

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Bibliography

2023
Generalized Matrix Nearness Problems.
SIAM J. Matrix Anal. Appl., December, 2023

Numerical stability and tensor nuclear norm.
Numerische Mathematik, December, 2023

Convex Relaxation for Fokker-Planck.
CoRR, 2023

2022
Learning Subspaces of Different Dimensions.
J. Comput. Graph. Stat., January, 2022

Distances Between Probability Distributions of Different Dimensions.
IEEE Trans. Inf. Theory, 2022

Optimization on flag manifolds.
Math. Program., 2022

Special Issue: Polynomial and Tensor Optimization.
Math. Program., 2022

Stochastic Steffensen method.
CoRR, 2022

LU decomposition and Toeplitz decomposition of a neural network.
CoRR, 2022

Inverting a complex matrix.
CoRR, 2022

Rank-constrained Hyperbolic Programming.
CoRR, 2022

What is an equivariant neural network?
CoRR, 2022

2021
Tensors in computations.
Acta Numer., May, 2021

Fiber product homotopy method for multiparameter eigenvalue problems.
Numerische Mathematik, 2021

The Grassmannian of affine subspaces.
Found. Comput. Math., 2021

2020
Hodge Laplacians on Graphs.
SIAM Rev., 2020

Topology of Deep Neural Networks.
J. Mach. Learn. Res., 2020

Symmetric Grothendieck inequality.
CoRR, 2020

Ubiquity of the exponent of matrix multiplication.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.
Proceedings of the 37th International Conference on Machine Learning, 2020

2019
Geometric Distance Between Positive Definite Matrices of Different Dimensions.
IEEE Trans. Inf. Theory, 2019

Numerical Algorithms on the Affine Grassmannian.
SIAM J. Matrix Anal. Appl., 2019

Grothendieck constant is norm of Strassen matrix multiplication tensor.
Numerische Mathematik, 2019

Best k-layer neural network approximations.
CoRR, 2019

Path-connectedness of tensor ranks.
Proceedings of the 27th European Signal Processing Conference, 2019

2018
Nuclear norm of higher-order tensors.
Math. Comput., 2018

Fast Structured Matrix Computations: Tensor Rank and Cohn-Umans Method.
Found. Comput. Math., 2018

Semi-Riemannian Manifold Optimization.
CoRR, 2018

Tropical Geometry of Deep Neural Networks.
Proceedings of the 35th International Conference on Machine Learning, 2018

2017
Fast Randomized Iteration: Diffusion Monte Carlo through the Lens of Numerical Linear Algebra.
SIAM Rev., 2017

The Spacey Random Walk: A Stochastic Process for Higher-Order Data.
SIAM Rev., 2017

Cohomology of Cryo-Electron Microscopy.
SIAM J. Appl. Algebra Geom., 2017

Self-concordance is NP-hard.
J. Glob. Optim., 2017

Grothendieck constant is norm of Strassen matrix multiplication tensor.
CoRR, 2017

Versatile, robust, and efficient tractography with constrained higher-order tensor fODFs.
Int. J. Comput. Assist. Radiol. Surg., 2017

2016
Uniqueness of Nonnegative Tensor Approximations.
IEEE Trans. Inf. Theory, 2016

Schubert Varieties and Distances between Subspaces of Different Dimensions.
SIAM J. Matrix Anal. Appl., 2016

Semialgebraic Geometry of Nonnegative Tensor Rank.
SIAM J. Matrix Anal. Appl., 2016

The Computational Complexity of Duality.
SIAM J. Optim., 2016

Every Matrix is a Product of Toeplitz Matrices.
Found. Comput. Math., 2016

Fast and Accurate Multi-tissue Deconvolution Using SHORE and H-psd Tensors.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2016, 2016

Algorithms for structured matrix-vector product of optimal bilinear complexity.
Proceedings of the 2016 IEEE Information Theory Workshop, 2016

2015
Multilinear PageRank.
SIAM J. Matrix Anal. Appl., 2015

Ranking from Stochastic Pairwise Preferences: Recovering Condorcet Winners and Tournament Solution Sets at the Top.
Proceedings of the 32nd International Conference on Machine Learning, 2015

2014
Blind Multilinear Identification.
IEEE Trans. Inf. Theory, 2014

Computational Complexity of Tensor Nuclear Norm.
CoRR, 2014

Higher-Order Tensors in Diffusion Imaging.
Proceedings of the Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data, 2014

2013
The spectral theory of tensors and its applications.
Numer. Linear Algebra Appl., 2013

ParNes: a rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals.
Numer. Algorithms, 2013

Most Tensor Problems Are NP-Hard.
J. ACM, 2013

2011
Statistical ranking and combinatorial Hodge theory.
Math. Program., 2011

Rank aggregation via nuclear norm minimization.
Proceedings of the 17th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2011

2010
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors.
SIAM J. Sci. Comput., 2010

Multiarray Signal Processing: Tensor decomposition meets compressed sensing
CoRR, 2010

2009
Nonnegative approximations of nonnegative tensors
CoRR, 2009

2008
Algorithmic and statistical challenges in modern largescale data analysis are the focus of MMDS 2008.
SIGKDD Explor., 2008

Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem.
SIAM J. Matrix Anal. Appl., 2008

Symmetric Tensors and Symmetric Tensor Rank.
SIAM J. Matrix Anal. Appl., 2008

Shift-invariant multilinear decomposition of neuroimaging data.
NeuroImage, 2008

Algorithmic and Statistical Challenges in Modern Large-Scale Data Analysis are the Focus of MMDS 2008
CoRR, 2008

Learning to rank with combinatorial Hodge theory
CoRR, 2008

2006
Singular Values and Eigenvalues of Tensors: A Variational Approach
CoRR, 2006

Genericity And Rank Deficiency Of High Order Symmetric Tensors.
Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2000
Security of the Cao-Li Public Key Cryptosystem
CoRR, 2000


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