Lek-Heng Lim

Tianyun Tang

Optim. Lett., June, 2026

Generalized matrix nearness problems II.

[BibT_eX]

[DOI]

Rongbiao Thomas Wang

Chi-Kwong Li

CoRR, May, 2026

2025

Summing divergent matrix series.

[BibT_eX]

[DOI]

Rongbiao Wang

JungHo Lee

Numerische Mathematik, October, 2025

Glivenko-Cantelli for <i>f</i>-divergence.

[BibT_eX]

[DOI]

Haoming Wang

CoRR, March, 2025

Euclidean Distance Degree in Manifold Optimization.

[BibT_eX]

[DOI]

SIAM J. Optim., 2025

Grassmannian Optimization Is NP-Hard.

[BibT_eX]

[DOI]

SIAM J. Optim., 2025

2024

Complex matrix inversion via real matrix inversions.

[BibT_eX]

[DOI]

Numerische Mathematik, December, 2024

Stochastic Steffensen method.

[BibT_eX]

[DOI]

Minda Zhao

Comput. Optim. Appl., September, 2024

Attention is a smoothed cubic spline.

[BibT_eX]

[DOI]

Yucong Liu

CoRR, 2024

Simple matrix models for the flag, Grassmann, and Stiefel manifolds.

[BibT_eX]

[DOI]

CoRR, 2024

Simple matrix expressions for the curvatures of Grassmannian.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Generalized Matrix Nearness Problems.

[BibT_eX]

[DOI]

Zihao Li

SIAM J. Matrix Anal. Appl., December, 2023

Numerical stability and tensor nuclear norm.

[BibT_eX]

[DOI]

Numerische Mathematik, December, 2023

Convex Relaxation for Fokker-Planck.

[BibT_eX]

[DOI]

Yian Chen

Yuehaw Khoo

CoRR, 2023

2022

Learning Subspaces of Different Dimensions.

[BibT_eX]

[DOI]

J. Comput. Graph. Stat., January, 2022

Distances Between Probability Distributions of Different Dimensions.

[BibT_eX]

[DOI]

Yuhang Cai

IEEE Trans. Inf. Theory, 2022

Optimization on flag manifolds.

[BibT_eX]

[DOI]

Ken Sze-Wai Wong

Math. Program., 2022

Special Issue: Polynomial and Tensor Optimization.

[BibT_eX]

[DOI]

Jean-Bernard Lasserre

Jiawang Nie

Math. Program., 2022

LU decomposition and Toeplitz decomposition of a neural network.

[BibT_eX]

[DOI]

Yucong Liu

Simiao Jiao

CoRR, 2022

Inverting a complex matrix.

[BibT_eX]

[DOI]

CoRR, 2022

Rank-constrained Hyperbolic Programming.

[BibT_eX]

[DOI]

CoRR, 2022

What is an equivariant neural network?

[BibT_eX]

[DOI]

Bradley J. Nelson

CoRR, 2022

2021

Tensors in computations.

[BibT_eX]

[DOI]

Acta Numer., May, 2021

Fiber product homotopy method for multiparameter eigenvalue problems.

[BibT_eX]

[DOI]

Jose Israel Rodriguez

Jin-Hong Du

Yiling You

Numerische Mathematik, 2021

The Grassmannian of affine subspaces.

[BibT_eX]

[DOI]

Ken Sze-Wai Wong

Found. Comput. Math., 2021

2020

Hodge Laplacians on Graphs.

[BibT_eX]

[DOI]

SIAM Rev., 2020

Topology of Deep Neural Networks.

[BibT_eX]

[DOI]

Gregory Naitzat

Andrey Zhitnikov

J. Mach. Learn. Res., 2020

Symmetric Grothendieck inequality.

[BibT_eX]

[DOI]

CoRR, 2020

Ubiquity of the exponent of matrix multiplication.

[BibT_eX]

[DOI]

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.

[BibT_eX]

[DOI]

Proceedings of the 37th International Conference on Machine Learning, 2020

2019

Geometric Distance Between Positive Definite Matrices of Different Dimensions.

[BibT_eX]

[DOI]

Rodolphe Sepulchre

IEEE Trans. Inf. Theory, 2019

Numerical Algorithms on the Affine Grassmannian.

[BibT_eX]

[DOI]

Ken Sze-Wai Wong

SIAM J. Matrix Anal. Appl., 2019

Grothendieck constant is norm of Strassen matrix multiplication tensor.

[BibT_eX]

[DOI]

Jinjie Zhang

Numerische Mathematik, 2019

Best k-layer neural network approximations.

[BibT_eX]

[DOI]

Mateusz Michalek

Yang Qi

CoRR, 2019

Path-connectedness of tensor ranks.

[BibT_eX]

[DOI]

Proceedings of the 27th European Signal Processing Conference, 2019

2018

Nuclear norm of higher-order tensors.

[BibT_eX]

[DOI]

Math. Comput., 2018

Fast Structured Matrix Computations: Tensor Rank and Cohn-Umans Method.

[BibT_eX]

[DOI]

Found. Comput. Math., 2018

Semi-Riemannian Manifold Optimization.

[BibT_eX]

[DOI]

Tingran Gao

CoRR, 2018

Tropical Geometry of Deep Neural Networks.

[BibT_eX]

[DOI]

Liwen Zhang

Gregory Naitzat

Proceedings of the 35th International Conference on Machine Learning, 2018

2017

Fast Randomized Iteration: Diffusion Monte Carlo through the Lens of Numerical Linear Algebra.

[BibT_eX]

[DOI]

Jonathan Weare

SIAM Rev., 2017

The Spacey Random Walk: A Stochastic Process for Higher-Order Data.

[BibT_eX]

[DOI]

Austin R. Benson

David F. Gleich

SIAM Rev., 2017

Cohomology of Cryo-Electron Microscopy.

[BibT_eX]

[DOI]

SIAM J. Appl. Algebra Geom., 2017

Self-concordance is NP-hard.

[BibT_eX]

[DOI]

J. Glob. Optim., 2017

Grothendieck constant is norm of Strassen matrix multiplication tensor.

[BibT_eX]

[DOI]

Jinjie Zhang

CoRR, 2017

Versatile, robust, and efficient tractography with constrained higher-order tensor fODFs.

[BibT_eX]

[DOI]

Int. J. Comput. Assist. Radiol. Surg., 2017

2016

Uniqueness of Nonnegative Tensor Approximations.

[BibT_eX]

[DOI]

Yang Qi

IEEE Trans. Inf. Theory, 2016

Schubert Varieties and Distances between Subspaces of Different Dimensions.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2016

Semialgebraic Geometry of Nonnegative Tensor Rank.

[BibT_eX]

[DOI]

Yang Qi

SIAM J. Matrix Anal. Appl., 2016

The Computational Complexity of Duality.

[BibT_eX]

[DOI]

SIAM J. Optim., 2016

Every Matrix is a Product of Toeplitz Matrices.

[BibT_eX]

[DOI]

Found. Comput. Math., 2016

Fast and Accurate Multi-tissue Deconvolution Using SHORE and H-psd Tensors.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2016, 2016

Algorithms for structured matrix-vector product of optimal bilinear complexity.

[BibT_eX]

[DOI]

Proceedings of the 2016 IEEE Information Theory Workshop, 2016

2015

Multilinear PageRank.

[BibT_eX]

[DOI]

David F. Gleich

Yongyang Yu

SIAM J. Matrix Anal. Appl., 2015

Ranking from Stochastic Pairwise Preferences: Recovering Condorcet Winners and Tournament Solution Sets at the Top.

[BibT_eX]

[DOI]

Proceedings of the 32nd International Conference on Machine Learning, 2015

2014

Blind Multilinear Identification.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2014

Computational Complexity of Tensor Nuclear Norm.

[BibT_eX]

[DOI]

CoRR, 2014

Higher-Order Tensors in Diffusion Imaging.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Michael K. Ng

Liqun Qi

Numer. Linear Algebra Appl., 2013

ParNes: a rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals.

[BibT_eX]

[DOI]

Ming Gu

Cinna Julie Wu

Numer. Algorithms, 2013

Most Tensor Problems Are NP-Hard.

[BibT_eX]

[DOI]

Christopher J. Hillar

J. ACM, 2013

2011

Statistical ranking and combinatorial Hodge theory.

[BibT_eX]

[DOI]

Math. Program., 2011

Rank aggregation via nuclear norm minimization.

[BibT_eX]

[DOI]

David F. Gleich

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.

[BibT_eX]

[DOI]

Berkant Savas

SIAM J. Sci. Comput., 2010

Multiarray Signal Processing: Tensor decomposition meets compressed sensing

[BibT_eX]

[DOI]

CoRR, 2010

2009

Nonnegative approximations of nonnegative tensors

[BibT_eX]

[DOI]

CoRR, 2009

2008

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

[BibT_eX]

[DOI]

Michael W. Mahoney

Gunnar E. Carlsson

SIGKDD Explor., 2008

Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem.

[BibT_eX]

[DOI]

Vin de Silva

Kristoffer Hougaard Madsen

SIAM J. Matrix Anal. Appl., 2008

Symmetric Tensors and Symmetric Tensor Rank.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Shift-invariant multilinear decomposition of neuroimaging data.

[BibT_eX]

[DOI]

NeuroImage, 2008

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

[BibT_eX]

[DOI]

Michael W. Mahoney

Gunnar E. Carlsson

CoRR, 2008

Learning to rank with combinatorial Hodge theory

[BibT_eX]

[DOI]

CoRR, 2008

2006

Singular Values and Eigenvalues of Tensors: A Variational Approach

[BibT_eX]

[DOI]

CoRR, 2006

Genericity And Rank Deficiency Of High Order Symmetric Tensors.

[BibT_eX]

[DOI]

Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2000

Security of the Cao-Li Public Key Cryptosystem

[BibT_eX]

[DOI]