Nuutti Hyvönen Professor, Department of Mathematics and Systems Analysis, Aalto University Head of the Inverse Problems Research Group Email: firstname.lastname(at)aalto.fi

Education

• PhD (with distinction) in mathematics, Department of Engineering Physics and Mathematics, Helsinki University of Technology, 2004
• MSc (with distinction) in mathematics, Department of Engineering Physics and Mathematics, Helsinki University of Technology, 2000

Resume

• CV

Teaching

• Lecture notes of Computational methods in inverse problems (spring 2011).
• Lecture notes for the second half ("numerics") of Partial differential equations (fall 2013).
• Lecture notes of Finite difference methods (fall 2013).
• Minicourse Factorization and source support methods for electrical impedance tomography at the Summer school on computational solution of inverse problems (FICS 2010).

Research interests

• Inverse boundary value problems (theory and numerics)
• Optical absorption and scattering tomography
• Electrical impedance tomography
• Locating/reconstructing inclusions via boundary measurements
• Modelling and mathematical properties of real-life measurements
• Optimal experimental design
• Miscellaneous

Publications (Google Scholar profile)

Submitted manuscripts

1. J. Bisch, M. Hirvensalo, and N. Hyvönen, Continuity of the linearized forward map of electrical impedance tomography from square-integrable perturbations to Hilbert-Schmidt operators.
2. Y. Suzuki, N. Hyvönen, and T. Karvonen, Möbius-transformed trapezoidal rule.

Articles in refereed international scientific journals

3. A. Autio, H. Garde, M. Hirvensalo, and N. Hyvönen, Linearization-based direct reconstruction for EIT using triangular Zernike decompositions, Inverse Problems and Imaging, early access, 2024.
4. N. Hyvönen, A. Jääskeläinen, R. Maity, and A. Vavilov, Bayesian experimental design for head imaging by electrical impedance tomography, SIAM Journal on Applied Mathematics, 84, 1718-1741, 2024.
5. S. Eberle-Blick and N. Hyvönen, Bayesian experimental design for linear elasticity, Inverse Problems and Imaging, 18, 1294-1319, 2024.
6. J. Nousiainen, J.-P. Puska, T. Helin, N. Hyvönen, and M. Kasper, The power of prediction: spatiotemporal Gaussian process modeling for predictive control in slope-based wavefront sensing, Journal of Astronomical Telescopes, Instruments, and Systems, 10, 039001 (2024).
7. H. Garde and N. Hyvönen, Linearised Calderon problem: Reconstruction and Lipschitz stability for infinite-dimensional spaces of unbounded perturbations, SIAM Journal on Mathematical Analysis, 56, 3588-3604 (2024).
8. J. Toivanen, A. Paldanius, B. Dekdouk, V. Candiani, A. Hänninen, T. Savolainen, D. Strbian, N. Forss, N. Hyvönen, J. Hyttinen, and V. Kolehmainen, An algorithm for detection and monitoring of intracerebral hemorrhages using EIT, Journal of Medical Imaging, 11, 014502 (2024).
9. T. Helin, N. Hyvönen, J. Maaninen, and J.-P. Puska, Bayesian design of measurements for magnetorelaxometry imaging, Inverse Problems, 39, 125020 (2023).
10. H. Garde, N. Hyvönen, and T. Kuutela, Series reversion for practical electrical impedance tomography with modeling errors, Inverse Problems, 39, 085007 (2023).
11. P. Hirvi, T. Kuutela, Q. Fang, A. Hannukainen, N. Hyvönen, and I. Nissilä, Effects of atlas-based anatomy on modelled light transport in the neonatal head, Physics in Medicine & Biology, 68, 135019 (2023).
12. H. Garde and N. Hyvönen, Reconstruction of singular and degenerate inclusions in Calderon's problem, Inverse Problems and Imaging, 16, 1219-1227 (2022).
13. T. Helin, N. Hyvönen, and J.-P. Puska, Edge-promoting adaptive Bayesian experimental design for X-ray imaging, SIAM Journal on Scientific Computing, 44, B506-B530 (2022).
14. H. Garde and N. Hyvönen, Series reversion in Calderon's problem, Mathematics of Computation, 91, 1925-1953 (2022).
15. J. Dardé, N. Hyvönen, T. Kuutela, and T. Valkonen, Contact adapting electrode model for electrical impedance tomography, SIAM Journal on Applied Mathematics, 82, 427-449 (2022).
16. V. Candiani, N. Hyvönen, J. Kaipio, and V. Kolehmainen, Approximation error method for imaging the human head by electrical impedance tomography, Inverse Problems, 37, 125008 (2021).
17. M. Burger, A. Hauptmann, T. Helin, N. Hyvönen, and J.-P. Puska, Sequentially optimized projections in X-ray imaging, Inverse Problems, 37, 075006 (2021).
18. A. Hannukainen, N. Hyvönen, and L. Perkkiö, Inverse heat source problem and experimental design for determining iron loss distribution, SIAM Journal on Scientific Computing, 43, B243-B270 (2021).
19. H. Garde and N. Hyvönen, Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography, Numerische Mathematik, 147, 579-609 (2021).
20. V. Candiani, J. Dardé, H. Garde, and N. Hyvönen, Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography, SIAM Journal on Mathematical Analysis, 52, 6234-6259 (2020).
21. H. Garde, N. Hyvönen, and T. Kuutela, On regularity of the logarithmic forward map of electrical impedance tomography, SIAM Journal on Mathematical Analysis, 52, 197-220 (2020).
22. H. Garde and N. Hyvönen, Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension, SIAM Journal on Applied Mathematics, 80, 20-43 (2020).
23. V. Candiani, A. Hannukainen, and N. Hyvönen, Computational framework for applying electrical impedance tomography to head imaging, SIAM Journal on Scientific Computing, 41, B1034-B1060 (2019).
24. A. Hannukainen, N. Hyvönen, and L. Mustonen, An inverse boundary value problem for the p-Laplacian: a linearization approach, Inverse Problems, 35, 034001 (2019).
25. N. Hyvönen and L. Mustonen, Thermal tomography with unknown boundary, SIAM Journal on Scientific Computing, 40, B663-B683 (2018).
26. N. Hyvönen and L. Mustonen, Generalized linearization techniques in electrical impedance tomography, Numerische Mathematik, 140, 95-120 (2018).
27. N. Hyvönen, L. Päivärinta, and J. Tamminen, Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps, Inverse Problems and Imaging, 12, 373-400 (2018).
28. N. Hyvönen and L. Mustonen, Smoothened complete electrode model, SIAM Journal on Applied Mathematics, 77, 2250-2271 (2017).
29. A. Barth, B. Harrach, N. Hyvönen, and L. Mustonen, Detecting stochastic inclusions in electrical impedance tomography, Inverse Problems, 33, 115012 (2017).
30. N. Hyvönen, H. Majander, and S. Staboulis, Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography, Inverse Problems, 33, 035006 (2017).
31. N. Hyvönen, V. Kaarnioja, L. Mustonen, and S. Staboulis, Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography, SIAM Journal on Applied Mathematics, 77, 202-223 (2017).
32. A. Hannukainen, N. Hyvönen, H. Majander, and T. Tarvainen, Efficient inclusion of total variation type priors in quantitative photoacoustic tomography, SIAM Journal on Imaging Sciences, 9, 1132-1153 (2016).
33. A. Hannukainen, L. Harhanen, N. Hyvönen, and H. Majander, Edge-promoting reconstruction of absorption and diffusivity in optical tomography, Inverse Problems, 32, 015008 (2016).
34. N. Hyvönen and M. Leinonen, Stochastic Galerkin finite element method with local conductivity basis for electrical impedance tomography, SIAM/ASA Journal on Uncertainty Quantification, 3, 998-1019 (2015).
35. L. Chesnel, N. Hyvönen, and S. Staboulis, Construction of invisible conductivity perturbations for the point electrode model in electrical impedance tomography, SIAM Journal on Applied Mathematics, 75, 2093-2109 (2015).
36. L. Harhanen, N. Hyvönen, H. Majander, and S. Staboulis, Edge-enhancing reconstruction algorithm for three-dimensional electrical impedance tomography, SIAM Journal on Scientific Computing, 37, B60-B78 (2015).
37. N. Hyvönen, A. Seppänen, and S. Staboulis, Optimizing electrode positions in electrical impedance tomography, SIAM Journal on Applied Mathematics, 74, 1831-1851 (2014).
38. H. Hakula, N. Hyvönen and M. Leinonen, Reconstruction algorithm based on stochastic Galerkin finite element method for electrical impedance tomography, Inverse Problems, 30, 065006 (2014).
39. M. Leinonen, H. Hakula, and N. Hyvönen, Application of stochastic Galerkin FEM to the complete electrode model of electrical impedance tomography, Journal of Computational Physics, 269, 181-200 (2014).
40. J. Dardé, A. Hannukainen, and N. Hyvönen, An H_div-based mixed quasi-reversibility method for solving elliptic Cauchy problems, SIAM Journal on Numerical Analysis, 51, 2123-2148 (2013).
41. J. Dardé, N. Hyvönen, A. Seppänen, and S. Staboulis, Simultaneous recovery of admittivity and body shape in electrical impedance tomography: An experimental evaluation, Inverse Problems, 29, 085004 (2013).
42. N. Hyvönen, A. K. Nandakumaran, H. M. Varma, and R. M. Vasu, Generalized eigenvalue decomposition of the field autocorrelation in correlation diffusion of photons in turbid media, Mathematical Methods in the Applied Sciences, 36, 1447-1458 (2013).
43. R. Griesmaier, N. Hyvönen, and O. Seiskari, A note on analyticity properties of far field patterns, Inverse Problems and Imaging, 7, 491-498, (2013).
44. J. Dardé, N. Hyvönen, A. Seppänen, and S. Staboulis, Simultaneous reconstruction of outer boundary shape and admittivity distribution in electrical impedance tomography, SIAM Journal on Imaging Sciences, 6, 176-198 (2013).
45. N. Hyvönen, P. Piiroinen, and O. Seiskari, Point measurements for a Neumann-to-Dirichlet map and the Calderón problem in the plane, SIAM Journal on Mathematical Analysis, 44, 3526-3536 (2012).
46. N. Hyvönen and O. Seiskari, Detection of multiple inclusions from sweep data of electrical impedance tomography, Inverse Problems, 28, 095014 (2012).
47. J. Dardé, H. Hakula, N. Hyvönen, and S. Staboulis, Fine-tuning electrode information in electrical impedance tomography, Inverse Problems and Imaging, 6, 399-421 (2012).
48. H. Hakula, N. Hyvönen, and T. Tuominen, On hp-adaptive solution of complete electrode forward problems of electrical impedance tomography, Journal of Computational and Applied Mathematics, 236, 4645-4659 (2012).
49. M. Hanke, L. Harhanen, N. Hyvönen, and E. Schweickert, Convex source support in three dimensions, BIT Numerical Mathematics, 52, 45-63 (2012).
50. R. Griesmaier and N. Hyvönen, A regularized Newton method for locating thin tubular conductivity inhomogeneities, Inverse Problems 27, 115008 (2011).
51. H. M. Varma, K. P. Mohanan, N. Hyvönen, A. K. Nandakumaran, and R. M. Vasu, Ultrasound-modulated optical tomography: Recovery of amplitude of vibration in the insonified region from boundary measurement of light correlation, Journal of the Optical Society of America A, 28, 2322-2331 (2011).
52. H. Hakula, L. Harhanen, and N. Hyvönen, Sweep data of electrical impedance tomography, Inverse Problems, 27, 115006 (2011).
53. M. Hanke, B. Harrach, and N. Hyvönen, Justification of point electrode models in electrical impedance tomography, Mathematical Models and Methods in Applied Sciences, 21, 1395-1413 (2011).
54. M. Hanke, N. Hyvönen, and S. Reusswig, Erratum: An inverse backscatter problem for electric impedance tomography, SIAM Journal on Mathematical Analysis, 43, 1495-1497 (2011).
55. M. Hanke, N. Hyvönen, and S. Reusswig, Convex backscattering support in electric impedance tomography, Numerische Mathematik, 117, 373-396 (2011).
56. L. Harhanen and N. Hyvönen, Convex source support in half-plane, Inverse Problems and Imaging, 4, 429-448 (2010).
57. N. Hyvönen, M. Kalke, M. Lassas, H. Setälä, and S. Siltanen, Three-dimensional dental X-ray imaging by combination of panoramic and projection data, Inverse Problems and Imaging, 4, 257-271 (2010).
58. N. Hyvönen, K. Karhunen, and A. Seppänen, Fréchet derivative with respect to the shape of an internal electrode in electrical impedance tomography, SIAM Journal on Applied Mathematics, 70, 1878-1898 (2010).
59. M. Hanke, N. Hyvönen, and S. Reusswig, An inverse backscatter problem for electric impedance tomography, SIAM Journal on Mathematical Analysis, 41, 1948-1966 (2009).
60. N. Hyvönen, Comparison of idealized and electrode Dirichlet-to-Neumann maps in electric impedance tomography with an application to boundary determination of conductivity, Inverse Problems, 25, 085008 (2009).
61. N. Hyvönen, Approximating idealized boundary data of electric impedance tomography by electrode measurements, Mathematical Models and Methods in Applied Sciences, 19, 1185-1202 (2009).
62. H. Hakula and N. Hyvönen, On computation of test dipoles for factorization method, BIT Numerical Mathematics, 49, 75-91 (2009).
63. M. Hanke, N. Hyvönen, and S. Reusswig, Convex source support and its application to electric impedance tomography, SIAM Journal on Imaging Sciences, 1, 364-378 (2008).
64. H. Hakula and N. Hyvönen, Two noniterative algorithms for locating inclusions using one electrode measurement of electric impedance tomography, Inverse Problems, 24, 055018 (2008).
65. B. Gebauer and N. Hyvönen, Factorization method and inclusions of mixed type in an inverse elliptic boundary value problem, Inverse Problems and Imaging, 2, 355-372 (2008).
66. M. Hanke, N. Hyvönen, M. Lehn, and S. Reusswig, Source supports in electrostatics, BIT Numerical Mathematics, 48, 245-264 (2008).
67. A. Lechleiter, N. Hyvönen, and H. Hakula, The factorization method applied to the complete electrode model of impedance tomography, SIAM Journal on Applied Mathematics, 68, 1097-1121 (2008).
68. N. Hyvönen, Fréchet derivative with respect to the shape of a strongly convex nonscattering region in optical tomography, Inverse Problems 23, 2249-2270 (2007). (IOP SELECT)
69. B. Gebauer and N. Hyvönen, Factorization method and irregular inclusions in electrical impedance tomography, Inverse Problems 23, 2159-2170 (2007).
70. N. Hyvönen, Locating transparent regions in optical absorption and scattering tomography, SIAM Journal on Applied Mathematics 67, 1101-1123 (2007).
71. N. Hyvönen, Application of the factorization method to the characterization of weak inclusions in electrical impedance tomography, Advances in Applied Mathematics 39, 197-221 (2007).
72. N. Hyvönen, H. Hakula, and S. Pursiainen, Numerical implementation of the factorization method within the complete electrode model of electrical impedance tomography, Inverse Problems and Imaging 1, 299-317 (2007).
73. N. Hyvönen, Application of a weaker formulation of the factorization method to the characterization of absorbing inclusions in optical tomography, Inverse Problems 21, 1331-1342 (2005).
74. N. Hyvönen, Characterizing inclusions in optical tomography, Inverse Problems 20, 737-751 (2004).
75. N. Hyvönen, Complete electrode model of electrical impedance tomography: Approximation properties and characterization of inclusions, SIAM Journal on Applied Mathematics 64, 902-931 (2004).
76. N. Hyvönen, Analysis of optical tomography with non-scattering regions, Proceedings of the Edinburgh Mathematical Society 45, 257-276 (2002).

Papers in conference proceedings

1. N. Hyvönen and O. Seiskari, Electrical impedance tomography with two electrodes, Oberwolfach Report, 2012
2. N. Hyvönen, Locating transparent cavities in optical absorption and scattering tomography, Oberwolfach Report, 13, 726-728 (2007).

Theses

1. N. Hyvönen, Diffusive Tomography Methods: Special Boundary Conditions and Characterization of Inclusions, Dissertation, Helsinki University of Technology, 2004.