1 code implementation • 8 Mar 2022 • Bart Vandereycken, Rik Voorhaar
This work proposes a novel general-purpose estimator for supervised machine learning (ML) based on tensor trains (TT).
1 code implementation • 25 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
3 code implementations • 21 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
no code implementations • 18 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