4 papers
Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completion
Biswarup Karmakar, Ratikanta Behera
Tensor completion has emerged as a powerful framework for recovering missing data in multidimensional signals by exploiting low-rank tensor structures. Among existing approaches, l…
A Family of Iterative Methods for Computing Generalized Inverses of Quaternion Matrices and its Applications
Biswarup Karmakar, Neha Bhadala, Ratikanta Behera
The computation of generalized inverses of quaternion matrices is a fundamental problem in quaternion linear algebra, with wide-ranging applications in signal processing, image res…
Robust Low-Rank Tensor Completion based on M-product with Weighted Correlated Total Variation and Sparse Regularization
Biswarup Karmakar, Ratikanta Behera
The robust low-rank tensor completion problem addresses the challenge of recovering corrupted high-dimensional tensor data with missing entries, outliers, and sparse noise commonly…
Computation of -QDR decomposition of tensors and applications
Krushnachandra Panigrahy, Biswarup Karmakar, Jajati Keshari Sahoo +2
The theory and computation of tensors with different tensor products play increasingly important roles in scientific computing and machine learning. Different products aim to prese…