3 papers
math.NA2020
A gradient system approach for Hankel structured low-rank approximation
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
Rank deficient Hankel matrices are at the core of several applications. However, in practice, the coefficients of these matrices are noisy due to e.g. measurements errors and compu…
math.OC2019
A hybrid penalty method for a class of optimization problems with multiple rank constraints
Tianxiang Liu, Ivan Markovsky, Ting Kei Pong +1
In this paper, we consider the problem of minimizing a smooth objective over multiple rank constraints on Hankel-structured matrices. This kind of problems arises in system identif…
eess.SP2018
A Low-Rank and Joint-Sparse Model for Ultrasound Signal Reconstruction
Miaomiao Zhang, Ivan Markovsky, Colas Schretter +1
With the introduction of very dense sensor arrays in ultrasound (US) imaging, data transfer rate and data storage became a bottleneck in ultrasound system design. To reduce the amo…