Non-smooth SOR for L 1-Fitting: Convergence Study and Discussion of Related Issues. - Roland Glowinski; Tommi Kärkkäinen; Tuomo Valkonen; Andriy Ivannikov (J. Sci. Comput., 2008)

Refined optimality conditions for differences of convex functions. - Tuomo Valkonen (J. Glob. Optim., 2010)

Clustering and the perturbed spatial median. - Tuomo Valkonen; Tommi Kärkkäinen (Math. Comput. Model., 2010)

GPU-accelererated regularisation of large diffusion-tensor volumes. - Tuomo Valkonen; Manfred Liebmann (Computing, 2013)

Total Generalized Variation in Diffusion Tensor Imaging. - Tuomo Valkonen; Kristian Bredies; Florian Knoll (SIAM J. Imaging Sci., 2013)

The jump set under geometric regularisation. Part 1: Basic technique and first-order denoising. - Tuomo Valkonen (CoRR, 2014)

The jump set under geometric regularisation. Part 2: Higher-order approaches. - Tuomo Valkonen (CoRR, 2014)

Imaging with Kantorovich-Rubinstein Discrepancy. - Jan Lellmann; Dirk A. Lorenz; Carola-Bibiane Schönlieb; Tuomo Valkonen (SIAM J. Imaging Sci., 2014)

Preconditioned ADMM with Nonlinear Operator Constraint. - Martin Benning; Florian Knoll; Carola-Bibiane Schönlieb; Tuomo Valkonen (System Modelling and Optimization, 2015)

Asymptotic Behaviour of Total Generalised Variation. - Konstantinos Papafitsoros; Tuomo Valkonen (SSVM, 2015)

Bilevel approaches for learning of variational imaging models. - Luca Calatroni; Cao Chung; Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (CoRR, 2015)

The structure of optimal parameters for image restoration problems. - Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (CoRR, 2015)

Acceleration of the PDHGM on strongly convex subspaces. - Tuomo Valkonen; Thomas Pock (CoRR, 2015)

Limiting Aspects of Nonconvex TVφ Models. - Michael Hintermüller; Tuomo Valkonen; Tao Wu 006 (SIAM J. Imaging Sci., 2015)

The Jump Set under Geometric Regularization. Part 1: Basic Technique and First-Order Denoising. - Tuomo Valkonen (SIAM J. Math. Anal., 2015)

Block-proximal methods with spatially adapted acceleration. - Tuomo Valkonen (CoRR, 2016)

Diffusion Tensor Imaging with Deterministic Error Bounds. - Artur Gorokh; Yury Korolev; Tuomo Valkonen (J. Math. Imaging Vis., 2016)

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models. - Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (J. Math. Imaging Vis., 2017)

Acceleration of the PDHGM on Partially Strongly Convex Functions. - Tuomo Valkonen; Thomas Pock (J. Math. Imaging Vis., 2017)

Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization. - Christian Clason; Tuomo Valkonen (SIAM J. Optim., 2017)

Primal-dual block-proximal splitting for a class of non-convex problems. - Stanislav Mazurenko; Jyrki Jauhiainen; Tuomo Valkonen (CoRR, 2019)

Acceleration and Global Convergence of a First-Order Primal-Dual Method for Nonconvex Problems. - Christian Clason; Stanislav Mazurenko; Tuomo Valkonen (SIAM J. Optim., 2019)

Inverse problems with second-order Total Generalized Variation constraints. - Kristian Bredies; Tuomo Valkonen (CoRR, 2020)

Non-planar sensing skins for structural health monitoring based on electrical resistance tomography. - Jyrki Jauhiainen; Mohammad Pour-Ghaz; Tuomo Valkonen; Aku Seppänen (CoRR, 2020)

Relaxed Gauss-Newton Methods with Applications to Electrical Impedance Tomography. - Jyrki Jauhiainen; Petri Kuusela; Aku Seppänen; Tuomo Valkonen (SIAM J. Imaging Sci., 2020)

Inertial, Corrected, Primal-Dual Proximal Splitting. - Tuomo Valkonen (SIAM J. Optim., 2020)

Nonplanar sensing skins for structural health monitoring based on electrical resistance tomography. - Jyrki Jauhiainen; Mohammad Pour-Ghaz; Tuomo Valkonen; Aku Seppänen (Comput. Aided Civ. Infrastructure Eng., 2021)

Electrodeless electrode model for electrical impedance tomography. - Jérémi Dardé; Nuutti Hyvönen; Topi Kuutela; Tuomo Valkonen (CoRR, 2021)

Predictive Online Optimisation with Applications to Optical Flow. - Tuomo Valkonen (J. Math. Imaging Vis., 2021)

A nonsmooth primal-dual method with simultaneous adaptive PDE constraint solver. - Bjørn Jensen; Tuomo Valkonen (CoRR, 2022)

Proximal methods for point source localisation. - Tuomo Valkonen (CoRR, 2022)

Contact Adapting Electrode Model for Electrical Impedance Tomography. - Jérémi Dardé; Nuutti Hyvönen; Topi Kuutela; Tuomo Valkonen (SIAM J. Appl. Math., 2022)

Differential estimates for fast first-order multilevel nonconvex optimisation. - Neil D. Dizon; Tuomo Valkonen (CoRR, 2024)

Online optimisation for dynamic electrical impedance tomography. - Neil D. Dizon; Jyrki Jauhiainen; Tuomo Valkonen (CoRR, 2024)

Linearly convergent bilevel optimization with single-step inner methods. - Ensio Suonperä; Tuomo Valkonen (Comput. Optim. Appl., 2024)

A nonsmooth primal-dual method with interwoven PDE constraint solver. - Bjørn Jensen; Tuomo Valkonen (Comput. Optim. Appl., 2024)

Prediction Techniques for Dynamic Imaging with Online Primal-Dual Methods. - Neil D. Dizon; Jyrki Jauhiainen; Tuomo Valkonen (J. Math. Imaging Vis., 2024)

Multigrid Methods for Total Variation. - Felipe Guerra; Tuomo Valkonen (SSVM (2), 2025)