Bart Vandereycken

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A survey and comparison of contemporary algorithms for computing the matrix geometric mean

Ben Jeuris, R. Vandebril, Bart Vandereycken, 2012 .

Greedy rank updates combined with Riemannian descent methods for low-rank optimization

Bart Vandereycken, A. Uschmajew, André Uschmajew, 2015, 2015 International Conference on Sampling Theory and Applications (SampTA).

Low-Rank Matrix Completion by Riemannian Optimization

Bart Vandereycken, 2012, SIAM J. Optim..

A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank

Bart Vandereycken, S. Vandewalle, P. Absil, 2013 .

Embedded geometry of the set of symmetric positive semidefinite matrices of fixed rank

Bart Vandereycken, S. Vandewalle, P. Absil, 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

Low-rank tensor completion by Riemannian optimization

Bart Vandereycken, D. Kressner, M. Steinlechner, 2014 .

Riemannian Pursuit for Big Matrix Recovery

Ivor W. Tsang, Mingkui Tan, Sinno Jialin Pan, 2014, ICML.

Low-Rank Matrix Completion by Riemannian Optimization

Bart Vandereycken, Bart Vandereycken, 2013, SIAM J. Optim..

The geometry of algorithms using hierarchical tensors

Bart Vandereycken, A. Uschmajew, André Uschmajew, 2013, Linear Algebra and its Applications.

On critical points of quadratic low-rank matrix optimization problems

André Uschmajew, Bart Vandereycken, Bart Vandereycken, 2020, IMA Journal of Numerical Analysis.

Supplementary Materials for "Riemannian Pursuit for Big Matrix Recovery"

Sinno Jialin Pan, I. Tsang, Bart Vandereycken, 2014 .

Explicit stabilised gradient descent for faster strongly convex optimisation

K. Zygalakis, Bart Vandereycken, G. Vilmart, 2018, BIT Numerical Mathematics.

Lipidomics reveals diurnal lipid oscillations in human skeletal muscle persisting in cellular myotubes cultured in vitro

Bart Vandereycken, M. Moniatte, H. Riezman, 2017, Proceedings of the National Academy of Sciences.

Unifying time evolution and optimization with matrix product states

Ivan Oseledets, Christian Lubich, Frank Verstraete, 2014, 1408.5056.

A Riemannian approach to low-rank algebraic Riccati equations

Bart Vandereycken, Bamdev Mishra, B. Mishra, 2013, 1312.4883.

The leapfrog algorithm as nonlinear Gauss-Seidel

Bart Vandereycken, Marco Sutti, 2020, ArXiv.

School of Basic Sciences - Section of Mathematics

Bart Vandereycken, D. Kressner, M. Steinlechner, 2013 .

Streaming Tensor Train Approximation

Bart Vandereycken, D. Kressner, Rik Voorhaar, 2022, SIAM J. Sci. Comput..

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors

Reinhold Schneider, Christian Lubich, Bart Vandereycken, 2013, SIAM J. Matrix Anal. Appl..

Time Integration of Tensor Trains

Ivan V. Oseledets, Christian Lubich, Bart Vandereycken, 2014, SIAM J. Numer. Anal..

A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations

Stefan Vandewalle, Bart Vandereycken, Bart Vandereycken, 2010, SIAM J. Matrix Anal. Appl..

Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius

Daniel Kressner, Bart Vandereycken, Bart Vandereycken, 2014, SIAM J. Matrix Anal. Appl..

Geometric Methods on Low-Rank Matrix and Tensor Manifolds

André Uschmajew, Bart Vandereycken, Bart Vandereycken, 2020 .

Projection Methods for Dynamical Low-Rank Approximation of High-Dimensional Problems

Emil Kieri, Bart Vandereycken, Bart Vandereycken, 2018, Comput. Methods Appl. Math..

Ether lipids, sphingolipids and toxic 1‐deoxyceramides as hallmarks for lean and obese type 2 diabetic patients

Steven A. Brown, Bart Vandereycken, E. Dermitzakis, 2020, Acta physiologica.

Time Integration of Rank-Constrained Tucker Tensors

Hanna Walach, Christian Lubich, Bart Vandereycken, 2017, SIAM J. Numer. Anal..

Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa

Ding Lu, Bart Vandereycken, Bart Vandereycken, 2017, SIAM J. Matrix Anal. Appl..

Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure

Daniel Kressner, Michael Steinlechner, Bart Vandereycken, 2015, SIAM J. Sci. Comput..

The geometry of algorithms using hierarchical

André Uschmajew, Bart Vandereycken, Bart Vandereycken, 2013 .

The Smoothed Spectral Abscissa for Robust Stability Optimization

Wim Michiels, Moritz Diehl, Stefan Vandewalle, 2009, SIAM J. Optim..

Lipidomics reveals diurnal lipid oscillations in human skeletal muscle persisting 3 in cellular myotubes cultured in vitro 4 5 6

Bart Vandereycken, M. Moniatte, E. Lefai, 2017 .

The core clock transcription factor BMAL1 drives circadian β-cell proliferation during compensatory regeneration of the endocrine pancreas

Bart Vandereycken, Kai-Florian Storch, Y. Dor, 2020, Genes & development.

Distributed Principal Component Analysis with Limited Communication pdf

Dan Alistarh, Peter Davies, Bart Vandereycken, 2021, NeurIPS.

The leapfrog algorithm as nonlinear Gauss-Seidel

Bart Vandereycken, Marco Sutti, 2020, ArXiv.

Subspace Acceleration for the Crawford Number and Related Eigenvalue Optimization Problems

Daniel Kressner, Ding Lu, Bart Vandereycken, 2018, SIAM J. Matrix Anal. Appl..

Automatic rational approximation and linearization of nonlinear eigenvalue problems

Karl Meerbergen, Pieter Lietaert, Bart Vandereycken, 2018, IMA Journal of Numerical Analysis.

Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems

Zhaojun Bai, Ding Lu, Bart Vandereycken, 2018, SIAM J. Sci. Comput..

TTML: tensor trains for general supervised machine learning

Bart Vandereycken, Rik Voorhaar, 2022, ArXiv.

A Note on the Optimal Convergence Rate of Descent Methods with Fixed Step Sizes for Smooth Strongly Convex Functions

Bart Vandereycken, André Uschmajew, 2021, Journal of Optimization Theory and Applications.

A globally convergent method to compute the real stability radius for time-delay systems

Wim Michiels, Ding Lu, Francesco Borgioli, 2019, Syst. Control. Lett..

The Smoothed Spectral Abscissa for Robust Stability Optimization

M. Diehl, Bart Vandereycken, S. Vandewalle, 2009, SIAM J. Optim..