13 papers
Adaptive Randomized Pivoting for Tensor Singular Value Decomposition Model
Ahmadsho Akdodshoev, Valentin Leplat, Salman Ahmadi-Asl
This paper studies how adaptive randomized pivoting (ARP), recently introduced for matrix column subset selection, can be extended to tensors in the t-product framework. We propose…
Pass-efficient Randomized Algorithms for Low-rank Approximation of Quaternion Matrices
Salman Ahmadi-Asl, Malihe Nobakht Kooshkghazi, Valentin Leplat
Randomized algorithms for low-rank approximation of quaternion matrices have gained increasing attention in recent years. However, existing methods overlook pass efficiency, the ab…
Randomized block Krylov method for approximation of truncated tensor SVD
Malihe Nobakht Kooshkghazi, Salman Ahmadi-Asl, Andre L. F. de Almeida
This paper is devoted to studying the application of the block Krylov subspace method for approximation of the truncated tensor SVD (T-SVD). The theoretical results of the proposed…
A New Tensor Network: Tubal Tensor Train and Its Applications
Salman Ahmadi-Asl, Valentin Leplat, Anh-Huy Phan +1
We introduce the tubal tensor train (TTT) decomposition, a tensor-network model that combines the t-product algebra of the tensor singular value decomposition (T-SVD) with the low-…
A note on generalized tensor CUR approximation for tensor pairs and tensor triplets based on the tubal product
Salman Ahmadi-Asl, Naeim Rezaeian, Keivan Ramazani
In this note, we briefly present a generalized tensor CUR (GTCUR) approximation for tensor pairs (X,Y) and tensor triplets (X,Y,Z) based on the tubal product (t-product). We use th…
SAGE: Streaming Agreement-Driven Gradient Sketches for Representative Subset Selection
Ashish Jha, Salman Ahmadi-Asl
Training modern neural networks on large datasets is computationally and energy intensive. We present SAGE, a streaming data-subset selection method that maintains a compact Freque…