
Randomized algorithms for rounding in the TensorTrain format
The TensorTrain (TT) format is a highly compact lowrank representation...
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Parallel Algorithms for Tensor Train Arithmetic
We present efficient and scalable parallel algorithms for performing mat...
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A Generalized Randomized RankRevealing Factorization
We introduce a Generalized Randomized QRdecomposition that may be appli...
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PLANC: Parallel Low Rank Approximation with Nonnegativity Constraints
We consider the problem of lowrank approximation of massive dense nonn...
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Joint 3D Localization and Classification of Space Debris using a Multispectral Rotating Point Spread Function
We consider the problem of joint threedimensional (3D) localization and...
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TuckerMPI: A Parallel C++/MPI Software Package for Largescale Data Compression via the Tucker Tensor Decomposition
Our goal is compression of massivescale gridstructured data, such as t...
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Parallel Nonnegative CP Decomposition of Dense Tensors
The CP tensor decomposition is a lowrank approximation of a tensor. We ...
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A 3D Parallel Algorithm for QR Decomposition
Interprocessor communication often dominates the runtime of large matrix...
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The geometry of rank decompositions of matrix multiplication II: 3× 3 matrices
This is the second in a series of papers on rank decompositions of the m...
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A Practical Randomized CP Tensor Decomposition
The CANDECOMP/PARAFAC (CP) decomposition is a leading method for the ana...
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MPIFAUN: An MPIBased Framework for AlternatingUpdating Nonnegative Matrix Factorization
Nonnegative matrix factorization (NMF) is the problem of determining tw...
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Grey Ballard
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