Two randomized algorithms within the sketched GMRES framework that replace full Arnoldi orthogonalization with short recurrences are proposed, providing robustness across a wide range of problems and outperform standard low-rank Tucker solvers in symmetric and non-symmetric settings.
Alberto Bucci, Martina Iannacito, Mirjeta Pasha et al.· 0 citations
This work presents the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella· Numerical Linear Algebra wit...· 3 citations
In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods. Our method retains the k...
Alberto Bucci, Gianfranco Verzella· Numerical Linear Algebra wit...· 0 citations
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