Vandereycken, Bart

1. Low-rank matrix completion by Riemannian optimization---extended version
   2012/09/18 by Bart Vandereycken, Vandereycken, Bart · 14 citations
   Computer Science · Engineering · #Advanced Image Processing Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
2. Automatic rational approximation and linearization of nonlinear\n eigenvalue problems
   2018/01/25 by Pieter Lietaert, Javier J. Pérez, Lietaert, Pieter +5 · 7 citations
   Computer Science · Mathematics · Physics and Astronomy · #15A22 #47A56 #47J10 #65F15 #65F50 #Advanced Optimization Algorithms Research #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Polynomial and algebraic computation
3. Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure
   2015/08/12 by Kressner, Daniel, Steinlechner, Michael, Vandereycken, Bart · 4 citations
   #15A69 #58C05 #65F10 #65K05 #FOS: Mathematics #Numerical Analysis (math.NA)
4. Time integration of rank-constrained Tucker tensors
   2017/09/08 by Lubich, Christian, Vandereycken, Bart, Walach, Hanna · 2 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
5. Distributed Principal Component Analysis with Limited Communication
   2021/10/27 by Alimisis, Foivos, Davies, Peter, Vandereycken, Bart +1 · 2 citations
   #Distributed #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC) #Parallel #and Cluster Computing (cs.DC)
6. Streaming Tensor Train Approximation
   2022/08/04 by Daniel Kreßner, Kressner, Daniel, Bart Vandereycken +3 · 2 citations
   Computer Science · Mathematics · #Advanced Neural Network Applications #FOS: Mathematics #Numerical Analysis (math.NA) #Stochastic Gradient Optimization Techniques #Tensor decomposition and applications
7. Geodesic Convexity of the Symmetric Eigenvalue Problem and Convergence of Riemannian Steepest Descent
   2022/09/07 by Alimisis, Foivos, Vandereycken, Bart · 2 citations
   #FOS: Mathematics #Optimization and Control (math.OC)
8. Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations
   2023/05/19 by Sutti, Marco, Vandereycken, Bart · 2 citations
   #58C05 #65F08 #65F45 #65F55 #65K10 #65L04 #65N22 #FOS: Mathematics #Numerical Analysis (math.NA)
9. Projected exponential methods for stiff dynamical low-rank approximation problems
   2023/11/30 by Benjamin Carrel, Bart Vandereycken, Carrel, Benjamin +1 · 3 citations
   Computer Science · Physics and Astronomy · Mathematics · #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Tensor decomposition and applications
10. A note on the optimal convergence rate of descent methods with fixed step sizes for smooth strongly convex functions
    2021/06/15 by Uschmajew, André, Vandereycken, Bart · 1 citation
    #90C25 (Primary) 65K05 (Secondary) #FOS: Mathematics #Optimization and Control (math.OC)
11. Low-rank Parareal: a low-rank parallel-in-time integrator
    2022/03/16 by Carrel, Benjamin, Gander, Martin J., Vandereycken, Bart · 2 citations
    #65F45 #65F55 #65L05 #65L20 #65L70 #68W10 #FOS: Mathematics #Numerical Analysis (math.NA)
12. TTML: tensor trains for general supervised machine learning
    2022/03/08 by Bart Vandereycken, Rik Voorhaar, Vandereycken, Bart +1 · 1 citation
    Computer Science · Mathematics · #Computational Physics and Python Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Tensor decomposition and applications
13. Gauss-Southwell type descent methods for low-rank matrix optimization
    2023/06/01 by Guillaume Olikier, André Uschmajew, Olikier, Guillaume +3 · 1 citation
    Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
14. Gradient-type subspace iteration methods for the symmetric eigenvalue problem
    2023/06/17 by Foivos Alimisis, Yousef Saad, Alimisis, Foivos +3 · 1 citation
    Computer Science · Mathematics · #15A18 #15A69 #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC)
15. Interpolatory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms
    2025/10/22 by Benjamin Carrel, Daniel Kreßner, Carrel, Benjamin +5 · 2 citations
    Mathematics · Physics and Astronomy · Computer Science · #Tensor decomposition and applications #Model Reduction and Neural Networks #Stochastic Gradient Optimization Techniques