Edit Profile Valkonen, Tuomo Compute Distance To: Compute Author ID: valkonen.tuomo Published as: Valkonen, T.; Valkonen, Tuomo Documents Indexed: 33 Publications since 2006 all top 5 Co-Authors 15 single-authored 3 Bredies, Kristian 3 Clason, Christian 3 Kärkkäinen, Tommi 3 Schönlieb, Carola-Bibiane 2 De los Reyes, Juan Carlos 2 Jauhiainen, Jyrki 2 Knoll, Florian 2 Mazurenko, Stanislav 1 Glowinski, Roland 1 Gorokh, Artur 1 Hintermüller, Michael 1 Ivannikov, A. 1 Korolev, Yury M. 1 Kunisch, Karl 1 Kuusela, Petri 1 Lellmann, Jan 1 Lorenz, Dirk Alfred 1 Papafitsoros, Konstantinos 1 Pock, Thomas 1 Seppänen, Aku 1 Wu, Tao all top 5 Serials 4 SIAM Journal on Imaging Sciences 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Optimization 3 Journal of Mathematical Imaging and Vision 2 Numerical Functional Analysis and Optimization 2 Optimization 2 ETNA. Electronic Transactions on Numerical Analysis 1 Inverse Problems 1 Applied Mathematics and Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Set-Valued and Variational Analysis all top 5 Fields 19 Calculus of variations and optimal control; optimization (49-XX) 16 Operations research, mathematical programming (90-XX) 12 Information and communication theory, circuits (94-XX) 8 Numerical analysis (65-XX) 5 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 180 times in 113 Documents Cited by ▼ Year ▼ Total generalized variation in diffusion tensor imaging. Zbl 1322.94024Valkonen, Tuomo; Bredies, Kristian; Knoll, Florian 28 2013 Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case. Zbl 1253.49024Bredies, Kristian; Kunisch, Karl; Valkonen, Tuomo 20 2013 A primal-dual hybrid gradient method for nonlinear operators with applications to MRI. Zbl 1310.47081Valkonen, Tuomo 19 2014 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 18 2014 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 14 2017 The structure of optimal parameters for image restoration problems. Zbl 1327.49063De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 10 2016 The jump set under geometric regularization. Part 1: Basic technique and first-order denoising. Zbl 1325.49053Valkonen, Tuomo 9 2015 Acceleration of the PDHGM on partially strongly convex functions. Zbl 1382.90080Valkonen, Tuomo; Pock, Thomas 7 2017 Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization. Zbl 1369.49040Clason, Christian; Valkonen, Tuomo 7 2017 Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034Valkonen, Tuomo 5 2019 Stability of saddle points via explicit coderivatives of pointwise subdifferentials. Zbl 1367.49011Clason, Christian; Valkonen, Tuomo 5 2017 Convergence of a Sor-Weiszfeld type algorithm for incomplete data sets. Zbl 1112.90059Valkonen, Tuomo 5 2006 The jump set under geometric regularisation. II: Higher-order approaches. Zbl 1373.49055Valkonen, T. 4 2017 TGV for diffusion tensors: a comparison of fidelity functions. Zbl 1301.92046Valkonen, Tuomo; Bredies, Kristian; Knoll, Florian 4 2013 Transport equation and image interpolation with SBD velocity fields. Zbl 1229.49053Valkonen, Tuomo 3 2011 Continuous reformulations and heuristics for the Euclidean travelling salesperson problem. Zbl 1189.90127Valkonen, Tuomo; Kärkkäinen, Tommi 3 2009 Acceleration and global convergence of a first-order primal-dual method for nonconvex problems. Zbl 1414.49037Clason, Christian; Mazurenko, Stanislav; Valkonen, Tuomo 2 2019 A method for weighted projections to the positive definite cone. Zbl 1327.90182Valkonen, Tuomo 2 2015 Extension of primal-dual interior point methods to diff-convex problems on symmetric cones. Zbl 1291.90191Valkonen, Tuomo 2 2013 Clustering and the perturbed spatial median. Zbl 1201.90126Valkonen, Tuomo; Kärkkäinen, Tommi 2 2010 Optimal transportation networks and stations. Zbl 1179.49049Valkonen, Tuomo 2 2009 Non-smooth SOR for \(L ^{1}\)-fitting: convergence study and discussion of related issues. Zbl 1203.65070Glowinski, R.; Kärkkäinen, T.; Valkonen, T.; Ivannikov, A. 2 2008 Testing and non-linear preconditioning of the proximal point method. Zbl 07245581Valkonen, Tuomo 1 2020 Inertial, corrected, primal-dual proximal splitting. Zbl 07202490Valkonen, Tuomo 1 2020 Diffusion tensor imaging with deterministic error bounds. Zbl 1338.92057Gorokh, Artur; Korolev, Yury; Valkonen, Tuomo 1 2016 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 1 2015 Strong polyhedral approximation of simple jump sets. Zbl 1239.26011Valkonen, Tuomo 1 2012 Refined optimality conditions for differences of convex functions. Zbl 1225.90102Valkonen, Tuomo 1 2010 An errata to: Convergence of a Sor-Weiszfeld type algorithm for incomplete data sets. Zbl 1155.90013Valkonen, Tuomo 1 2008 Testing and non-linear preconditioning of the proximal point method. Zbl 07245581Valkonen, Tuomo 1 2020 Inertial, corrected, primal-dual proximal splitting. Zbl 07202490Valkonen, Tuomo 1 2020 Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034Valkonen, Tuomo 5 2019 Acceleration and global convergence of a first-order primal-dual method for nonconvex problems. Zbl 1414.49037Clason, Christian; Mazurenko, Stanislav; Valkonen, Tuomo 2 2019 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 14 2017 Acceleration of the PDHGM on partially strongly convex functions. Zbl 1382.90080Valkonen, Tuomo; Pock, Thomas 7 2017 Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization. Zbl 1369.49040Clason, Christian; Valkonen, Tuomo 7 2017 Stability of saddle points via explicit coderivatives of pointwise subdifferentials. Zbl 1367.49011Clason, Christian; Valkonen, Tuomo 5 2017 The jump set under geometric regularisation. II: Higher-order approaches. Zbl 1373.49055Valkonen, T. 4 2017 The structure of optimal parameters for image restoration problems. Zbl 1327.49063De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 10 2016 Diffusion tensor imaging with deterministic error bounds. Zbl 1338.92057Gorokh, Artur; Korolev, Yury; Valkonen, Tuomo 1 2016 The jump set under geometric regularization. Part 1: Basic technique and first-order denoising. Zbl 1325.49053Valkonen, Tuomo 9 2015 A method for weighted projections to the positive definite cone. Zbl 1327.90182Valkonen, Tuomo 2 2015 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 1 2015 A primal-dual hybrid gradient method for nonlinear operators with applications to MRI. Zbl 1310.47081Valkonen, Tuomo 19 2014 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 18 2014 Total generalized variation in diffusion tensor imaging. Zbl 1322.94024Valkonen, Tuomo; Bredies, Kristian; Knoll, Florian 28 2013 Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case. Zbl 1253.49024Bredies, Kristian; Kunisch, Karl; Valkonen, Tuomo 20 2013 TGV for diffusion tensors: a comparison of fidelity functions. Zbl 1301.92046Valkonen, Tuomo; Bredies, Kristian; Knoll, Florian 4 2013 Extension of primal-dual interior point methods to diff-convex problems on symmetric cones. Zbl 1291.90191Valkonen, Tuomo 2 2013 Strong polyhedral approximation of simple jump sets. Zbl 1239.26011Valkonen, Tuomo 1 2012 Transport equation and image interpolation with SBD velocity fields. Zbl 1229.49053Valkonen, Tuomo 3 2011 Clustering and the perturbed spatial median. Zbl 1201.90126Valkonen, Tuomo; Kärkkäinen, Tommi 2 2010 Refined optimality conditions for differences of convex functions. Zbl 1225.90102Valkonen, Tuomo 1 2010 Continuous reformulations and heuristics for the Euclidean travelling salesperson problem. Zbl 1189.90127Valkonen, Tuomo; Kärkkäinen, Tommi 3 2009 Optimal transportation networks and stations. Zbl 1179.49049Valkonen, Tuomo 2 2009 Non-smooth SOR for \(L ^{1}\)-fitting: convergence study and discussion of related issues. Zbl 1203.65070Glowinski, R.; Kärkkäinen, T.; Valkonen, T.; Ivannikov, A. 2 2008 An errata to: Convergence of a Sor-Weiszfeld type algorithm for incomplete data sets. Zbl 1155.90013Valkonen, Tuomo 1 2008 Convergence of a Sor-Weiszfeld type algorithm for incomplete data sets. Zbl 1112.90059Valkonen, Tuomo 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 193 Authors 25 Valkonen, Tuomo 7 Schönlieb, Carola-Bibiane 6 Bredies, Kristian 5 Burger, Martin 5 Hintermüller, Michael 4 Bergmann, Ronny 4 Clason, Christian 4 Papafitsoros, Konstantinos 4 Peyré, Gabriel 3 Cuturi, Marco 3 De los Reyes, Juan Carlos 3 Gao, Yiming 3 Kärkkäinen, Tommi 3 Korolev, Yury M. 3 Lellmann, Jan 3 Rautenberg, Carlos N. 3 Santambrogio, Filippo 3 Steidl, Gabriele 3 Weinmann, Andreas 3 Wirth, Benedikt 2 Brinkmann, Eva-Maria 2 Calatroni, Luca 2 Chambolle, Antonin 2 Christof, Constantin 2 Dweik, Samer 2 Fuchs, Martin 2 Glowinski, Roland 2 Holler, Martin 2 Huang, Ting-Zhu 2 Jauhiainen, Jyrki 2 Khan, Akhtar Ali 2 Kolehmainen, Ville 2 Lorenz, Dirk Alfred 2 Ma, Tian-Hui 2 Maass, Peter 2 Masnou, Simon 2 Mazurenko, Stanislav 2 Migórski, Stanisław 2 Möller, Michael 2 Persch, Johannes 2 Pock, Thomas 2 Schmitzer, Bernhard 2 Seppänen, Aku 2 Wu, Tao 2 Yang, Xiaoping 2 Zeng, Shengda 2 Zhao, Xile 1 Afraites, Lekbir 1 Alvarez, Felipe 1 Angeloni, Laura 1 Arridge, Simon R. 1 Asadi, Soodabeh 1 Bačák, Miroslav 1 Bai, Lufeng 1 Barnard, Richard C. 1 Bathke, Christine 1 Bemporad, Alberto 1 Ben Said, Ahmed 1 Benning, Martin 1 Bergounioux, Maīne 1 Bildhauer, Michael 1 Braso, L. 1 Brauer, Christoph 1 Breschi, Valentina 1 Brossier, Romain 1 Buet, Blanche 1 Bungert, Leon 1 Caboussat, Alexandre 1 Chang, Huibin 1 Chen, Wengu 1 Chen, Yong 1 Chouzenoux, Emilie 1 Corbineau, Marie-Caroline 1 Costarelli, Danilo 1 Cremers, Daniel 1 Darbon, Jerome 1 Davtyan, Arman 1 De Philippis, Guido 1 Ding, Meng 1 Dirks, Carolin Maria 1 Dong, Yiqiu 1 Duval, Vincent 1 Effland, Alexander 1 Ellabib, Abdellatif 1 Ferrari, Luca 1 Fitschen, Jan Henrik 1 Fonseca, Irene 1 Foufou, Sebti 1 Geiping, Jonas 1 González, Gerardo 1 Gorokh, Artur 1 Grah, Joana Sarah 1 Gröhn, Olli 1 Hadjidj, Rachid 1 Hadri, Aissam 1 Hand, Paul E. 1 Heckel, Reinhard 1 Holler, Gernot 1 Huang, Guanghui 1 Huang, Wen ...and 93 more Authors all top 5 Cited in 42 Serials 17 SIAM Journal on Imaging Sciences 15 Journal of Mathematical Imaging and Vision 11 Inverse Problems 6 SIAM Journal on Optimization 4 Computers & Mathematics with Applications 4 Optimization 3 Journal of Mathematical Analysis and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Numerica 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Convex Analysis 2 Inverse Problems and Imaging 2 Set-Valued and Variational Analysis 1 Archive for Rational Mechanics and Analysis 1 Applied Mathematics and Optimization 1 Automatica 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Mathematical and Computer Modelling 1 Multidimensional Systems and Signal Processing 1 Journal of Global Optimization 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 International Journal of Computational Methods 1 Mathematical Control and Related Fields all top 5 Cited in 26 Fields 54 Calculus of variations and optimal control; optimization (49-XX) 50 Information and communication theory, circuits (94-XX) 46 Numerical analysis (65-XX) 37 Operations research, mathematical programming (90-XX) 26 Computer science (68-XX) 10 Partial differential equations (35-XX) 8 Real functions (26-XX) 7 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 4 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year