Dynamical TT-approximation


Dynamical low-rank approximation is a rather new and important topic, which was studied by Lubich and Koch for low-rank matrices and low-rank (in the sense of Tucker format) tensor decomposition. Such kind of techniques were well known in physics in chemistry, going back to Dirac-Frenkel principle, and MCTDH method for the computation of quantum molecular vibrations. It was interesting to extend this approach to the TT-format.

We did it in our recent paper**Efficient time-stepping scheme for dynamics on TT-manifolds**, which is published as a preprint in MIS MPI Leipzig. In fact, we managed to provide an efficient numerical scheme for the computation of the TT-dynamics. The MATLAB implementation will be soon included in the development github repository of the TT-Toolbox.


26/05/2016 A TT-eigenvalue solver that finally works Papers
12/05/2016 Exponential machines and tensor trains Papers
06/04/2016 Convergence analysis of a projected fixed-point iteration Papers
30/03/2016 Compress-and-eliminate solver for sparse matrices Papers
01/12/2015 New paper in SIMAX Papers


We are located at the 2-nd floor of the new "Technopark-3” building in Skolkovo (few kilometers outside Moscow Ring Road). The building is accessible from Skolkovo Road (Сколковское шоссе) and Minskoe Highway (Минское шоссе).