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20122023
most citedVariable projection for affinely structured low-rank approximation in weighted 2-norms

50 citations · 89 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.OC2023

Data-Driven Output Matching of Output-Generalized Bilinear and Linear Parameter-Varying systems

Leander Hemelhof, Ivan Markovsky, Panagiotis Patrinos

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output…

math.OC2021★ 1 cited

Bridging direct & indirect data-driven control formulations via regularizations and relaxations

Florian Dörfler, Jeremy Coulson, Ivan Markovsky

We discuss connections between sequential system identification and control for linear time-invariant systems, often termed indirect data-driven control, as well as a contemporary…

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…

math.OC2013

Variable projection methods for approximate (greatest) common divisor computations

Konstantin Usevich, Ivan Markovsky

We consider the problem of finding for a given -tuple of polynomials (real or complex) the closest -tuple that has a common divisor of degree at least . Extended weighted…

math.OC2012★ 50 cited

Variable projection for affinely structured low-rank approximation in weighted 2-norms

Konstantin Usevich, Ivan Markovsky

The structured low-rank approximation problem for general affine structures, weighted 2-norms and fixed elements is considered. The variable projection principle is used to reduce…