Director in charge of research: ProfessorLassi Päivärinta, University of Helsinki.
Besides leading the Centre of Excellence Lassi Päivärinta is the leader of the Rolf Nevanlinna -institute, a member of the steering committee of the Inverse Problems International Association and Editor-in-Chief of the international journal Inverse Problems and Imaging. His most important results include the solution of the electrodynamic inverse problem in 1993 (together with D. Colton, P. Ola and E. Somersalo), the solution of the Calderón problem for the conductivity equation in two dimensions in 2006 (together with K. Astala) and the proof of existence of transmission eigenvalues in 2007 (together with J. Sylvester).
Vice director: Research Professor Markku Lehtinen, University of Oulu.
Lehtinen is an expert in the field of statistical inversion methods. His rigorous mathematical results include experiment comparison theory and discretization-independent prior models. The long-term way of work is to isolate and formalize problems in applications as formal mathematical questions. The main achievements are world-wide adapted new coding and analysis methods for ionospheric research radars and the latest breakthrough is rigorous characterization of radar experiment comparison and perfect pulse compression codes. The Council of the EISCAT Scientific Association awarded Lehtinen the Beynon Medal in 2008. Other research includes tomography, space debris detection, lunar imaging and fast numerical software for linear inverse problems. Lehtinen also leads the methodological planning of a the EISCAT3D radar - a new European infrastructure in the ESFRI roadmap and is the vice director of the Sodankylä Geophysical Observatory.
SENIOR RESEARCHERS
ProfessorHeikki Haario, Lappeenranta University of Technology.
Heikki Haario is internationally known by his contributions to Bayesian theory and algorithms. His works on efficient ergodic sampling methods have been forerunners on this increasingly topical field of Bayesian computational methods, and are now standard references on the area. Haario's research interests are strongly motivated by applications such as atmospheric remote sensing and climate research.
ProfessorMikko Kaasalainen, Tampere University of Technology.
Mikko Kaasalainen has long experience in finding comprehensive, practical, and computationally efficient mathematical solutions to interdisciplinary inverse problems. He has solved the long-open mathematical problem of determining the shape of an object from measurements of total brightness and the resulting mathematical methods have revolutionized the way we obtain information from small solar system bodies. Kaasalainen's research interests are planetary and space research, galactic dynamics, Hamiltonian systems in astrophysics, geophysics, signal processing, remote sensing and environmental studies.
ProfessorJari Kaipio, University of Auckland and University of Eastern Finland.
Professor Jari Kaipio is internationally regarded as one of the leading researcher in applied Bayesian inverse problems, with a co-authored book (with Erkki Somersalo), many related journal papers as well as plenary talks. Kaipio is a fellow of the Institute of Physics (GB), founder and representative of several international scientific societies,and member of the editorial board of three international journals. Kaipio's main contribution to this field has been the development of the Bayesian approximation error approach and nonstationary inversion framework. He leads the Inverse Problems Group of about 10 seniors and 10 graduate students in University of Eastern Finland. He is currently on leave in University of Auckland.
DocentVille Kolehmainen, University of Eastern Finland.
Ville Kolehmainen is nominated as an Academy of Finland research fellow at the University of Eastern Finland (Kuopio), Finland. He received Ph.D. degree in applied physics from the University of Kuopio in 2001. His research interests include computational inverse problems, especially with applications to tomography problems.
Matti Lassas is an expert in the field of mathematical theory of inverse problems, especially, in theory of inverse problems for partial differential equations. In the field of applications, Lassas has made significant contributions on medical imaging and invisibility cloaking which has a number of potential applications. Lassas has won several awards including the prestigious Vaisala price of the Finnish Academy of Science and Letters in 2004 and Calderon Prize awarded by the Inverse Problems International Association (IPIA).
ProfessorValeriy Serov, University of Oulu.
Serov's main scientific interests are oriented toward the spectral theory of elliptic differential operators with singular coefficients and its applications to inverse scattering and inverse spectral problems for such operators as well as the nonlinear equations with applications in optics and electromagnetics. His most important results include the solution of inverse eigenvalue problems for Sturm-Liouville operator with singular coefficients in 1994 (with L. Zhornitskaya), the solution of backscattering problem in two dimensions in 2001 (together with P. Ola and L. Päivärinta), multi-dimensional Borg-Levinson theorem for singular potentials in 2002 (together with L. Päivärinta) and the uniqueness results and reconstruction of singularities in two-dimensional nonlinear Schrödinger operator with singular coefficients in 2007-2008.
ProfessorSamuli Siltanen, University of Helsinki.
Professor Samuli Siltanen is an expert in the field of applied inverse problems, in particular medical imaging techniques such as electrical impedance tomography and low-dose three-dimensional X-ray imaging. He has published many scientific articles and five patents, and given lots of invited talks at international conferences. He is the principal investigator of the research project CSI Speech developing computerized inversion methods for the research of spoken language; the EUR 1 200 000 funding is provided by the Academy of Finland for the period 2010-2014. Siltanen was a Postdoctoral Fellow of the Japan Society for the Promotion of Science in 2002-2004 and has worked for several years with GE Healthcare and other medical imaging technology companies. He has founded the Industrial Mathematics Laboratory of University of Helsinki.
PhD's 2005-2010
Kenrick Bingham (TKK, 2005), The Blagoveščenskiĭ Identity and the Inverse Scattering Problem
Lasse Heikkinen (UEF, 2005), Statistical estimation methods for electrical impedance tomography
Jenni Heino (TKK, 2005), Approaches for Modelling and Reconstruction in Optical Tomography in the Presence of Anisotropies
Matti Malinen (UEF, 2005), Computational methods for optimal control in ultrasound therapy
Petteri Piiroinen (UH, 2005), Statistical measurements, Experiments and Applications
Hanna Pikkarainen (TKK, 2005), A Mathematical Model for Electrical Impedance Process Tomography
Aku Seppänen (UEF, 2005), State estimation in process tomography
Viktoria Sofieva (TKK, 2005), Inverse Problems in Stellar Occultation
Tanja Tarvainen (UEF, 2006), Computational Methods for Light Transport in Optical Tomography
Simo-Pekka Vänskä (UH, 2006), Direct and Inverse Scattering for Beltrami Fields
Eeva Boman (UEF, 2007), Radiotherapy forward and inverse problem applying Boltzmann transport equation
Matias Dahl (TKK, 2007), Geometric Properties of Electromagnetic Waves
Olga Shipilova (LUT, 2007), Particle Transport Method for Convection-Diffusion-Reaction Problems
Olli-Pekka Tossavainen (UEF, 2007), Shape estimation in electrical impedance tomography
Janne Huttunen (UEF, 2008), Approximation and Modelling Errors in Nonstationary Inverse Problems
Ruth Kaila (TKK, 2008), The integrated volatility implied by option prices, a Bayesian approach
Marko Laine (LUT, 2008), Adaptive MCMC methods with applications in environmental and geophysical models