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math.NA2022★ 15 cited
Low-rank nonnegative tensor approximation via alternating projections and sketching
Azamat Sultonov, Sergey Matveev, Stanislav Budzinskiy
We show how to construct nonnegative low-rank approximations of nonnegative tensors in Tucker and tensor train formats. We use alternating projections between the nonnegative ortha…
math.NA2022★ 7 cited
Sketching for low-rank nonnegative matrix approximation: Numerical study
Sergey A. Matveev, Stanislav Budzinskiy
We propose new approximate alternating projection methods, based on randomized sketching, for the low-rank nonnegative matrix approximation problem: find a low-rank approximation o…