Search Results for author: Bart Vandereycken

Found 4 papers, 3 papers with code

TTML: tensor trains for general supervised machine learning

1 code implementation8 Mar 2022 Bart Vandereycken, Rik Voorhaar

This work proposes a novel general-purpose estimator for supervised machine learning (ML) based on tensor trains (TT).

BIG-bench Machine Learning

Automatic rational approximation and linearization of nonlinear eigenvalue problems

1 code implementation25 Jan 2018 Pieter Lietaert, Javier Pérez, Bart Vandereycken, Karl Meerbergen

The method uses the AAA method by Nakatsukasa, S\`{e}te, and Trefethen to approximate the nonlinear eigenvalue problem by a rational eigenvalue problem and is embedded in the state space representation of a rational polynomial by Su and Bai.

Numerical Analysis 65F15, 65F50, 15A22, 47A56, 47J10

Unifying time evolution and optimization with matrix product states

3 code implementations21 Aug 2014 Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete

In particular, our method is compatible with any Hamiltonian for which DMRG can be implemented efficiently and DMRG is obtained as a special case of imaginary time evolution with infinite time step.

Quantum Physics Strongly Correlated Electrons

Low-rank matrix completion by Riemannian optimization---extended version

no code implementations18 Sep 2012 Bart Vandereycken

We propose a new algorithm for matrix completion that minimizes the least-square distance on the sampling set over the Riemannian manifold of fixed-rank matrices.

Optimization and Control Differential Geometry Numerical Analysis

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