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20132026
most citedImaging with Kantorovich-Rubinstein discrepancy

105 citations · 761 across the 48 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

physics.comp-ph2020★ 21 cited

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…

math.OC2020★ 7 cited

Regularisation, optimisation, subregularity

Tuomo Valkonen

Regularisation theory in Banach spaces, and non--norm-squared regularisation even in finite dimensions, generally relies upon Bregman divergences to replace norm convergence. This…

math.NA2020★ 29 cited

Inverse problems with second-order Total Generalized Variation constraints

Kristian Bredies, Tuomo Valkonen

Total Generalized Variation (TGV) has recently been introduced as penalty functional for modelling images with edges as well as smooth variations. It can be interpreted as a "spars…

math.OC2020★ 43 cited

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…

math.OC2020★ 3 cited

Predictive online optimisation with applications to optical flow

Tuomo Valkonen

Online optimisation revolves around new data being introduced into a problem while it is still being solved; think of deep learning as more training samples become available. We ad…

math.OC2020★ 5 cited

Introduction to Nonsmooth Analysis and Optimization

Christian Clason, Tuomo Valkonen

Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal c…