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math.NA2026
Improved Analysis of Khatri-Rao Random Projections and Applications
Arvind K. Saibaba, Bhisham Dev Verma, Grey Ballard
Randomization has emerged as a powerful set of tools for large-scale matrix and tensor decompositions. Randomized algorithms involve computing sketches with random matrices. A prev…
math.NA2025
Adaptive Randomized Tensor Train Rounding using Khatri-Rao Products
Hussam Al Daas, Grey Ballard, Laura Grigori +3
Approximating a tensor in the tensor train (TT) format has many important applications in scientific computing. Rounding a TT tensor involves further compressing a tensor that is a…
math.NA2025
Stochastic Trace and Diagonal Estimator for Tensors
Bhisham Dev Verma, Rameshwar Pratap, Keegan Kang
We consider the problem of estimating the trace and diagonal entries of an N-order tensor (where ) under the framework where the tensor can only be accessed through tenso…