A continuous analogue of the tensor-train decomposition

We develop new approximation algorithms and data structures for representing and computing with multivariate functions using the functional tensor-train (FT), a continuous extension of the tensor-train (TT) decomposition. The FT represents functions using a tensor-train ansatz by replacing the three...

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Bibliographic Details
Main Authors: Gorodetsky, Alex, Karaman, Sertac, Marzouk, Youssef M.
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:English
Published: Elsevier BV 2020
Online Access:https://hdl.handle.net/1721.1/124519