Relation of tensors, quantics TT and wavelet tensor trains


In our paper Algebraic wavelet transform via quantics tensor train decomposition we show, how quantics tensor train approach, which consists in tensorization of vectors and matrices, can be interpreted as algebraic wavelet transform. Advantages are especially clear for two dimensional functions. Besides new results, this approach, called WTT (wavelet tensor trains) describes several open and interesting problems


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).