• Datos Personales

    Tuomo Valkonen

    Profesor
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    https://tuomov.iki.fi/
    (+593) 2 2976 300 Ext: 1580

  • Líneas de Investigación

    • Image processing and inverse problems
    • Data science
    • Optimisation methods
    • Variational analysis 
    • Geometric measure theory
  • Publicaciones

    Journal articles

    1. dardéhyvönenkuutela and valkonenElectrodeless electrode model for electrical impedance tomography (2021).
      abstract | pdf | arXiv | codes ]
      submitted
    2. jauhiainenpour-ghazvalkonen and seppänenNon-planar sensing skins for structural health monitoring based on electrical resistance tomography (2020).
      abstract | pdf | arXiv ]
      Computer-Aided Civil and Infrastructure Engineering (2021), doi:10.1111/mice.12689
    3. valkonenRegularisation, optimisation, subregularity (2020).
      abstract | pdf | arXiv | codes ]
      Inverse Problems 37 (2021), 045010, doi:10.1088/1361-6420/abe4aa
    4. jauhiainenkuuselaseppänen and valkonenRelaxed Gauss–Newton methods with applications to electrical impedance tomography (2020).
      abstract | pdf | arXiv ]
      SIAM Journal on Imaging Sciences 13 (2020), 1415–1445, doi:10.1137/20M1321711
    5. valkonenPredictive online optimisation with applications to optical flow (2020).
      abstract | pdf | arXiv | codes ]
      Journal of Mathematical Imaging and Vision 63 (2021), 329–355, doi:10.1007/s10851-020-01000-4
    6. mazurenkojauhiainen and valkonenPrimal-dual block-proximal splitting for a class of non-convex problems (2019).
      abstract | pdf | arXiv | codes ]
      Electronic Transactions on Numerical Analysis 52 (2020), 509–552, doi:10.1553/etna_vol52s509
    7. clasonmazurenko and valkonenPrimal-dual proximal splitting and generalized conjugation in nonsmooth nonconvex optimization (2019).
      abstract | pdf | arXiv | codes ]
      Applied Mathematics and Optimization (2020), doi:10.1007/s00245-020-09676-1
    8. valkonenInertial, corrected, primal-dual proximal splitting (2018).
      abstract | pdf | arXiv | codes ]
      SIAM Journal on Optimization 30 (2020), 1391–1420, doi:10.1137/18M1182851
    9. clasonmazurenko and valkonenAcceleration and global convergence of a first-order primal-dual method for nonconvex problems (2018).
      abstract | pdf | arXiv | codes ]
      SIAM Journal on Optimization 29 (2019), 933–963, doi:10.1137/18M1170194
    10. zhu and valkonenSpherical function regularization for parallel MRI reconstruction (2018).
      abstract | pdf | arXiv ]
       
    11. valkonenPreconditioned proximal point methods and notions of partial subregularity (2017).
      abstract | pdf | arXiv | link ]
      Journal of Convex Analysis 28 (2021), 251–278
    12. valkonenInterior-proximal primal-dual methods (2017).
      abstract | pdf | arXiv | link ]
      Applied Analysis and Optimization 3 (2019), 1–28
    13. valkonenTesting and non-linear preconditioning of the proximal point method (2017).
      abstract | pdf | arXiv ]
      Applied Mathematics and Optimization 82 (2020), doi:10.1007/s00245-018-9541-6
    14. valkonenBlock-proximal methods with spatially adapted acceleration (2016).
      abstract | pdf | arXiv | codes ]
      Electronic Transactions on Numerical Analysis 51 (2019), 15–49, doi:10.1553/etna_vol51s15
    15. clason and valkonenPrimal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization (2017).
      abstract | pdf | arXiv ]
      SIAM Journal on Optimization 27 (2017), 1313–1339, doi:10.1137/16M1080859
    16. benningschönliebvalkonen and vlačićExplorations on anisotropic regularisation of dynamic inverse problems by bilevel optimisation (2016).
      abstract | pdf | arXiv ]
       
    17. valkonen and pockAcceleration of the PDHGM on partially strongly convex functions (2017).
      abstract | pdf | arXiv ]
      Journal of Mathematical Imaging and Vision 59 (2017), 394–414, doi:10.1007/s10851-016-0692-2
    18. clason and valkonenStability of saddle points via explicit coderivatives of pointwise subdifferentials (2017).
      abstract | pdf | arXiv ]
      Set-valued and Variational Analysis 25 (2017), 69–112, doi:10.1007/s11228-016-0366-7
    19. gorokhkorolev and valkonenDiffusion tensor imaging with deterministic error bounds (2016).
      abstract | pdf | arXiv ]
      Journal of Mathematical Imaging and Vision 56 (2016), 137–157, doi:10.1007/s10851-016-0639-7
    20. de los reyesschönlieb and valkonenBilevel parameter learning for higher-order total variation regularisation models (2017).
      abstract | pdf | arXiv ]
      Journal of Mathematical Imaging and Vision 57 (2017), 1–25, doi:10.1007/s10851-016-0662-8
    21. de los reyesschönlieb and valkonenThe structure of optimal parameters for image restoration problems (2016).
      abstract | pdf | arXiv ]
      Journal of Mathematical Analysis and Applications 434 (2016), 464–500, doi:10.1016/j.jmaa.2015.09.023
    22. hintermüllervalkonen and wuLimiting aspects of non-convex \mbox{TV}^\varphiTVφ models (2015).
      abstract | pdf | arXiv ]
      SIAM Journal on Imaging Sciences 8 (2015), 2581–2621, doi:10.1137/141001457
    23. valkonenThe jump set under geometric regularisation. Part 2: Higher-order approaches (2017).
      abstract | pdf | arXiv ]
      Journal of Mathematical Analysis and Applications 453 (2017), 1044–1085, doi:10.1016/j.jmaa.2017.04.037
    24. valkonenThe jump set under geometric regularisation. Part 1: Basic technique and first-order denoising (2015).
      abstract | pdf | arXiv ]
      SIAM Journal on Mathematical Analysis 47 (2015), 2587–2629, doi:10.1137/140976248
    25. lellmannlorenzschönlieb and valkonenImaging with Kantorovich-Rubinstein discrepancy (2014).
      abstract | pdf | arXiv ]
      SIAM Journal on Imaging Sciences 7 (2014), 2833–2859, doi:10.1137/140975528
    26. valkonenA primal-dual hybrid gradient method for non-linear operators with applications to MRI (2014).
      abstract | pdf | arXiv ]
      Inverse Problems 30 (2014), 055012, doi:10.1088/0266-5611/30/5/055012
    27. benninggladdenhollandschönlieb and valkonenPhase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approaches (2014).
      abstract | pdf ]
      Journal of Magnetic Resonance 238 (2014), 26–43, doi:10.1016/j.jmr.2013.10.003
    28. valkonenA method for weighted projections to the positive definite cone (2015).
      abstract | pdf ]
      Optimization 64 (2015), 2253–2275, doi:10.1080/02331934.2014.929680
    29. valkonenbredies and knollTotal generalised variation in diffusion tensor imaging (2013).
      abstract | pdf | codes ]
      SIAM Journal on Imaging Sciences 6 (2013), 487–525, doi:10.1137/120867172
    30. bredieskunisch and valkonenProperties of L^1\mbox{-TGV}^2L1-TGV2 : The one-dimensional case (2013).
      abstract | pdf ]
      Journal of Mathematical Analysis and Applications 398 (2013), 438–454, doi:10.1016/j.jmaa.2012.08.053
    31. valkonenStrong polyhedral approximation of simple jump sets (2012).
      abstract | pdf ]
      Nonlinear Analysis: Theory, Methods, & Applications 75 (2012), 3641–3671, doi:10.1016/j.na.2012.01.022
    32. valkonenTransport equation and image interpolation with SBD velocity fields (2011).
      abstract | pdf ]
      Journal de mathématiques pures et appliquées 95 (2011), 459–494, doi:10.1016/j.matpur.2010.10.010
    33. valkonenOptimal transportation networks and stations (2009).
      abstract | pdf ]
      Interfaces and Free Boundaries 11 (2009), 569–597, doi:10.4171/IFB/223
    34. valkonenRefined optimality conditions for differences of convex functions (2010).
      abstract | pdf ]
      Journal of Global Optimization 48 (2010), 311–321, doi:10.1007/s10898-009-9495-y
    35. valkonenExtension of primal-dual interior point methods to diff-convex problems on symmetric cones (2013).
      abstract | pdf ]
      Optimization 62 (2013), doi:10.1080/02331934.2011.585465
    36. glowinskikärkkäinenvalkonen and ivannikovNonsmooth SOR for L^1L1 -fitting: Convergence study and Discussion of Related Issues (2008).
      abstract | pdf ]
      Journal of Scientific Computing 37 (2008), 103–138, doi:10.1007/s10915-008-9229-1
    37. valkonen and kärkkäinenContinuous reformulations and heuristics for the Euclidean travelling salesperson problem (2009).
      abstract | pdf ]
      ESAIM: Control, Optimization and Calculus of Variations 15 (2009), doi:10.1051/cocv:2008056
    38. valkonen and kärkkäinenClustering and the perturbed spatial median (2010).
      abstract | pdf ]
      Mathematical and Computer Modelling 52 (2010), 87–106, doi:10.1016/j.mcm.2010.01.018
    39. valkonenConvergence of a SOR-Weiszfeld type algorithm for incomplete data sets (2006).
      abstract ]
      Numerical Functional Analysis and Optimization 27 (2006), 931–952, doi:10.1080/01630560600791213, (Errata in vol. 29, no 9–10, 2008)

    Book chapters

    1. valkonenFirst-order primal-dual methods for nonsmooth nonconvex optimisation (2019).
      abstract | pdf | arXiv ]
      Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, editors: chenschönliebtai and younes, Springer (2020), in press
    2. valkonenOptimising Big Images (2016).
      abstract ]
      Big Data Optimization: Recent Developments and Challenges, editors: emrouznejad. Studies in Big Data, Springer-Verlag (2016), 97–131, doi:10.1007/978-3-319-30265-2_5

    Conference proceedings

    1. benningknollschönlieb and valkonenPreconditioned ADMM with nonlinear operator constraint (2016).
      abstract | pdf | arXiv ]
      System Modeling and Optimization: 27th IFIP TC 7 Conference, CSMO 2015, Sophia Antipolis, France, June 29–July 3, 2015, Revised Selected Papers, editors: bociudésidéri and habbal, Springer, doi:10.1007/978-3-319-55795-3_10 (2016), 117–126
    2. calatronicaode los reyesschönlieb and valkonenBilevel approaches for learning of variational imaging models (2016).
      abstract | pdf | arXiv ]
      Variational Methods in Imaging and Geometric Control, editors: bergouniouxpeyréschnörrcaillau and haberkorn. Radon Series on Computational and Applied Mathematics 18 (2016), 252–290, doi:10.1515/9783110430394-008
    3. papafitsoros and valkonenAsymptotic behaviour of total generalised variation (2015).
      abstract | pdf | arXiv ]
      International Conference on Scale Space and Variational Methods in Computer Vision (SSVM2015). Lecture Notes in Computer Science 9087 (2015), 702–714, doi:10.1007/978-3-319-18461-6_56
    4. knollvalkonenbredies and stollbergerHigher order variational denoising for diffusion tensor imaging (2013).
      abstract | link ]
      Proceedings of the International Society for Magnetic Resonance in Medicine, (ISMRM 2013 Magna Cum Laude Award) (2013)
    5. valkonen and liebmannGPU-accelerated regularisation of large diffusion tensor volumes (2013).
      abstract | pdf | codes ]
      Computing 95 (2013), 771–784, doi:10.1007/s00607-012-0277-x, Special issue for ESCO 2012, Pilsen, Czech Republic
    6. valkonenknoll and brediesTGV for diffusion tensors: A comparison of fidelity functions (2013).
      abstract | pdf | codes ]
      Journal of Inverse and Ill-Posed Problems 21 (2013), 355–377, doi:10.1515/jip-2013-0005, Special issue for IP:M&S 2012, Antalya, Turkey
    7. bredies and valkonenInverse problems with second-order total generalized variation constraints (2011).
      abstract | pdf | arXiv ]
      Proceedings of the 9th International Conference on Sampling Theory and Applications (SampTA) 2011, Singapore (2011)

    Thesis

    1. valkonenDiff-convex combinations of Euclidean distances: a search for optima (2008).
      abstract | pdf | link ]
      Jyväskylä Studies in Computing 99, University of Jyväskylä (2008), Ph.D Thesis

    Teaching material

    1. clason and valkonenIntroduction to Nonsmooth Analysis and Optimization (2020).
      abstract | pdf | arXiv ]
      Work in progress
    2. valkonenOptimisation for computer vision and data science (2017).
      abstract | pdf ] 
      Lecture Notes, Partially same material as “Set-valued analysis and optimisation”
    3. valkonenSet-valued analysis and optimisation (2015).
      abstract | pdf ] 
      Lecture Notes
    4. valkonenMeasure and Image (2013).
      abstract | pdf ] 
      Lecture Notes

    Scientific software

    1. valkonenCodes for “Regularisation, optimisation, subregularity” (2021).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.4432967
    2. valkonenJulia codes for “Predictive online optimisation with applications to optical flow” (2020).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.3659180
    3. clasonmazurenko and valkonenJulia codes for “Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization” (2020).
       
      Software on Zenodo, doi:10.5281/zenodo.3647614
    4. mazurenkojauhiainen and valkonenDiffusion tensor imaging codes from “Primal-dual block-proximal splitting for a class of non-convex problems” (2019).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.3528137
    5. valkonenSource codes for “Inertial, corrected, primal-dual proximal splitting” (2019).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.3531934
    6. clason and valkonenCodes supporting: Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization [nlpdegm] (2017).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.398822
    7. valkonenCodes supporting “Block-proximal methods with spatially adapted acceleration” (2017).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.1042419
    8. valkonenAn efficient C code for diffusion tensor denoising with total generalised variation (2012).
      link ]
      Software on Zenodo, doi:10.5281/zenodo.3667665
  • Proyectos de Investigación

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