43 citations · 84 across the 8 of their papers we have counts for
9 papers
Observability as a constraint qualification for a nonsmooth bilevel PDE-constrained problem
Christian Clason, Alberto Domínguez Corella, Jyrki Jauhiainen
Motivated by experiment design for parameter identification in image reconstruction, we analyze a bilevel control problem involving sparse inversion at the lower level. Qualified o…
Dynamic inverse problems: Single-loop online algorithms
Jyrki Jauhiainen, Yassine Nabou, Tuomo Valkonen
We study efficient online methods for dynamic inverse problems with infinite time horizon. We concentrate, in particular, on problems whose forward model arises from a PDE. Our mot…
Dynamic inverse problems: Online regularisation theory
Jyrki Jauhiainen, Yassine Nabou, Tuomo Valkonen
We develop regularisation theory for dynamic inverse problems, solved using online methods with an infinite time horizon. Using concepts of subregularity to treat nonsmooth regular…
Online optimisation for dynamic electrical impedance tomography
Neil Dizon, Jyrki Jauhiainen, Tuomo Valkonen
Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonl…
Prediction techniques for dynamic imaging with online primal-dual methods
Neil Dizon, Jyrki Jauhiainen, Tuomo Valkonen
Online optimisation facilitates the solution of dynamic inverse problems, such as image stabilisation, fluid flow monitoring, and dynamic medical imaging. In this paper, we improve…
Mumford-Shah regularization in electrical impedance tomography with complete electrode model
Jyrki Jauhiainen, Aku Seppänen, Tuomo Valkonen
In electrical impedance tomography, we aim to solve the conductivity within a target body through electrical measurements made on the surface of the target. This inverse conductivi…
Non-planar sensing skins for structural health monitoring based on electrical resistance tomography
Jyrki Jauhiainen, Mohammad Pour-Ghaz, Tuomo Valkonen +1
Electrical resistance tomography (ERT) -based distributed surface sensing systems, or sensing skins, offer alternative sensing techniques for structural health monitoring, providin…
Relaxed Gauss-Newton methods with applications to electrical impedance tomography
Jyrki Jauhiainen, Petri Kuusela, Aku Seppänen +1
As second-order methods, Gauss--Newton-type methods can be more effective than first-order methods for the solution of nonsmooth optimization problems with expensive-to-evaluate sm…
Primal-dual block-proximal splitting for a class of non-convex problems
Stanislav Mazurenko, Jyrki Jauhiainen, Tuomo Valkonen
We develop block structure adapted primal-dual algorithms for non-convex non-smooth optimisation problems whose objectives can be written as compositions of non-smoo…