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Author ID: somersalo.erkki Recent zbMATH articles by "Somersalo, Erkki"
Published as: Somersalo, Erkki; Somersalo, E.; Sommersalo, Erkki; Somersalo, E. J.; Someralo, Erkki
Homepage: http://math.case.edu/faculty/erkki-somersalo/
External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr
all top 5

Co-Authors

5 single-authored
65 Calvetti, Daniela
17 Kaipio, Jari P.
10 Päivärinta, Lassi
7 Cheney, Margaret
7 Lassas, Matti J.
6 Isaacson, David
5 Kurylëv, Yaroslav Vadimovich
5 Vauhkonen, Marko
4 Arnold, Andrea
4 Haario, Heikki
4 Ola, Petri
4 Pitolli, Francesca
4 Prezioso, Jamie
4 Vantaggi, Barbara
3 Capo Rangel, G.
3 Gerardo-Giorda, Luca
3 Heino, Jenni
3 Kolehmainen, Ville
3 Occhipinti, Rossana
3 Pragliola, Monica
3 Seppänen, Aku
2 Baroudi, Djebar
2 Bocchinfuso, Alberto
2 Boron, Walter F.
2 Cheng, Yougan
2 Hadwin, Paul J.
2 Hageman Blair, Rachael
2 Homa, Laura
2 Hoover, Alexander P.
2 Huttunen, Janne M. J.
2 Immonen, Taina
2 Isaacson, Eli L.
2 Mcgivney, Debra
2 Nakkireddy, S.
2 Ramm, Alexander G.
2 Strang, Alexander
2 Tunyan, Knarik
1 Arridge, Simon R.
1 Arts, Eric J.
1 Bardsley, Johnathan M.
1 Beylkin, Gregory
1 Bingham, Kenrick
1 Burridge, Robert
1 Cabrera, Marco E.
1 Callahan, Margaret
1 Cheng, Jin
1 Cosmo, Anna
1 Curran, Jason
1 Dash, Ranjan K.
1 Duncan, S.
1 Dunlop, Matthew M.
1 Eirola, Timo
1 Ernst, Oliver G.
1 Gaburro, Romina
1 Gjedde, Albert
1 Hakula, Harri
1 Idumah, Gideon
1 Iversen, Peter
1 Järvenpää, Seppo
1 Jeltsch, Rolf
1 Johnson, Claes G. L.
1 Karjalainen, Pasi A.
1 Kuceyeski, Amy
1 Lehtinen, Markku S.
1 Leitner, Thomas
1 Liukkonen, Jukka
1 Miller, Melanie A.
1 Nakamura, Gen
1 Nolan, Clifford J.
1 Pascarella, Annalisa
1 Perotto, Simona
1 Pursiainen, Sampsa
1 Ruuskanen, A. R.
1 Schweiger, Martin
1 Serov, Valery S.
1 Spies, Ruben D.
1 Stenberg, Rolf
1 Stuart, Andrew M.
1 Tarvainen, Tanja
1 Vauhkonen, P. J.
1 Volzer, Joseph
1 Voutilainen, Arto
1 Waniorek, Nathan
1 Ylä-Oijala, Pasi
all top 5

Serials

39 Inverse Problems
10 Journal of Theoretical Biology
6 Inverse Problems and Imaging
4 SIAM Journal on Scientific Computing
3 SIAM Journal on Applied Mathematics
3 Multiscale Modeling & Simulation
2 Journal of Mathematical Analysis and Applications
2 Mathematical Biosciences
2 Journal of Computational and Applied Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Applied Mathematical Sciences
1 Journal of Electromagnetic Waves and Applications
1 Arkhimedes
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 BIT
1 Computing
1 Duke Mathematical Journal
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Advances in Applied Mathematics
1 Applied Numerical Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Journal of Inverse and Ill-Posed Problems
1 Discrete and Continuous Dynamical Systems
1 Communications of the Korean Mathematical Society
1 Mathematical Medicine and Biology
1 International Journal of Mathematics and Computer Science
1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes
1 Bericht. Universität Jyväskylä. Mathematisches Institut
1 Lecture Notes in Physics
1 Surveys and Tutorials in the Applied Mathematical Sciences
1 Mathematical Modeling and Computation
1 SIAM Journal on Imaging Sciences
1 SIAM/ASA Journal on Uncertainty Quantification
1 Other Titles in Applied Mathematics
1 Data Sci. Book Ser.

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,937 times in 1,177 Documents Cited by Year
Statistical and computational inverse problems. Zbl 1068.65022
Kaipio, Jari; Somersalo, Erkki
507
2005
Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055
Somersalo, Erkki; Cheney, Margaret; Isaacson, David
148
1992
An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010
Calvetti, Daniela; Somersalo, Erkki
96
2007
Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008
Kaipio, Jari; Somersalo, Erkki
87
2007
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
77
2000
Nonstationary inverse problems and state estimation. Zbl 0927.35134
Kaipio, J.; Somersalo, E.
77
1999
On the existence and convergence of the solution of PML equations. Zbl 0899.35026
Lassas, M.; Somersalo, E.
63
1998
An inverse boundary value problem in electrodynamics. Zbl 0804.35152
Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki
57
1993
Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042
Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M.
54
2006
Hypermodels in the Bayesian imaging framework. Zbl 1137.62062
Calvetti, Daniela; Somersalo, Erkki
44
2008
Inverse problems with structural prior information. Zbl 0949.65144
Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E.
39
1999
Analysis of the PML equations in general convex geometry. Zbl 1200.35013
Lassas, Matti; Somersalo, Erkki
37
2001
Linear inverse problems for generalised random variables. Zbl 0681.60015
Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki
35
1989
A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128
Somersalo, Erkki; Isaacson, David; Cheney, Margaret
33
1992
Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138
Ola, Petri; Somersalo, Erkki
31
1996
A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076
Päivärinta, L.; Somersalo, E.
25
1988
Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078
Calvetti, D.; Somersalo, E.; Strang, A.
24
2019
Priorconditioners for linear systems. Zbl 1087.65044
Calvetti, Daniela; Somersalo, Erkki
23
2005
Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107
Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki
22
2009
A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018
Calvetti, Daniela; Somersalo, Erkki
21
2007
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
20
2018
Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander
18
2020
A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346
Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B.
17
2015
Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122
Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli
16
1991
Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095
Päivärinta, Lassi; Somersalo, Erkki
16
1991
State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134
Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P.
16
2001
Aristotelian prior boundary conditions. Zbl 1095.94005
Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki
15
2006
Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047
Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B.
14
2018
Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki
14
2020
Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107
Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki
13
2006
Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023
Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki
13
2010
Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089
Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki
13
2013
Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200
Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki
12
2014
Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141
Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki
11
2001
Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149
Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki
11
1994
Electrical impedance tomography with basis constraints. Zbl 0872.35130
Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A.
11
1997
Inverse problems in the Bayesian framework. Zbl 1305.00104
11
2014
Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271
Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki
11
2014
Uniqueness of identifying the convection term. Zbl 1101.35398
Cheng, Jin; Nakamura, Gen; Somersalo, Erkki
10
2001
Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133
Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki
9
2012
Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020
Calvetti, Daniela; Somersalo, Erkki
8
2006
Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079
Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H.
8
2004
Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738
Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki
7
2008
Estimation of optical absorption in anisotropic background. Zbl 1003.35124
Heino, Jenni; Somersalo, Erkki
7
2002
Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034
Somersalo, E.; Voutilainen, A.; Kaipio, J. P.
7
2003
Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162
Sommersalo, Erkki
6
1994
Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113
Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph
6
2015
Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027
Calvetti, Daniela; Somersalo, Erkki
6
2011
Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035
Calvetti, Daniela; Somersalo, Erkki
5
2013
Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027
Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E.
5
2006
Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017
Calvetti, Daniela; Somersalo, Erkki
5
2005
Inverse problems for time harmonic electrodynamics. Zbl 1129.78307
Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki
5
2003
A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276
Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E.
5
2018
A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015
Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki
5
2015
Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046
Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B.
5
2017
Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114
Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki
5
2015
Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024
Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik
4
2007
A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129
Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela
4
2012
Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315
Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki
4
2013
A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248
Calvetti, D.; Nakkireddy, S.; Somersalo, E.
4
2020
Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705
Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E.
4
2021
Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106
Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki
3
2006
Using process tomography as a sensor for optimal control. Zbl 1083.65061
Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P.
3
2006
Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103
Ramm, Alexander G.; Somersalo, Erkki
3
1989
A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112
Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela
3
2012
Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006
Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki
3
2019
Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047
Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D.
3
2019
Bayesian mixture models for source separation in MEG. Zbl 1234.92042
Calvetti, Daniela; Homa, Laura; Somersalo, Erkki
2
2011
Impedance imaging and electrode models. Zbl 0880.65111
Järvenpää, Seppo; Somersalo, Erkki
2
1997
Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174
Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki
2
2004
Dynamical electric wire tomography: a time series approach. Zbl 0908.35138
Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki
2
1998
Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171
Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki
2
2003
Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006
Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki
2
2016
Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134
Pragliola, Monica; Calvetti, Daniela; Somersalo, Erkki
2
2022
Bayesian mesh adaptation for estimating distributed parameters. Zbl 1459.65217
Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki
2
2020
Bayesian scientific computing. Zbl 07672371
Calvetti, Daniela; Somersalo, Erkki
2
2023
Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104
Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert
1
1989
Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009
Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E.
1
2008
Microlocal sequential regularization in imaging. Zbl 1141.94305
Calvetti, Daniela; Somersalo, Erkki
1
2007
The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134
Haario, Heikki; Somersalo, Erkki
1
1987
The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066
Päivärinta, Lassi; Somersalo, Erkki
1
1987
Inverse problems in mathematical physics. Proceedings of the Lapland conference on inverse problems held at Saariselkä, Finland, 14-20 June 1992. Zbl 0782.00084
1
1993
One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005
Somersalo, Erkki
1
1989
Statistical methods in imaging. Zbl 1259.62057
Calvetti, Daniela; Somersalo, Erkki
1
2011
Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045
Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben
1
2015
Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047
Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela
1
2014
Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. Zbl 1338.65008
Somersalo, Erkki; Calvetti, Daniela; Arnold, Andrea
1
2015
Statistical methods in imaging. 2nd edition. Zbl 1331.62322
Calvetti, Daniela; Somersalo, Erkki
1
2015
Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001
Calvetti, Daniela; Somersalo, Erkki
1
2021
Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130
Calvetti, D.; Prezioso, J.; Somersalo, E.
1
2019
Computational model of electrode-induced microenvironmental effects on ph measurements near a cell membrane. Zbl 1446.35217
Calvetti, Daniela; Prezioso, Jamie; Occhipinti, Rossana; Boron, Walter F.; Somersalo, Erkki
1
2020
Bayesian scientific computing. Zbl 07672371
Calvetti, Daniela; Somersalo, Erkki
2
2023
Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134
Pragliola, Monica; Calvetti, Daniela; Somersalo, Erkki
2
2022
Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705
Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E.
4
2021
Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001
Calvetti, Daniela; Somersalo, Erkki
1
2021
Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander
18
2020
Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki
14
2020
A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248
Calvetti, D.; Nakkireddy, S.; Somersalo, E.
4
2020
Bayesian mesh adaptation for estimating distributed parameters. Zbl 1459.65217
Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki
2
2020
Computational model of electrode-induced microenvironmental effects on ph measurements near a cell membrane. Zbl 1446.35217
Calvetti, Daniela; Prezioso, Jamie; Occhipinti, Rossana; Boron, Walter F.; Somersalo, Erkki
1
2020
Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078
Calvetti, D.; Somersalo, E.; Strang, A.
24
2019
Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006
Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki
3
2019
Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047
Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D.
3
2019
Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130
Calvetti, D.; Prezioso, J.; Somersalo, E.
1
2019
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
20
2018
Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047
Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B.
14
2018
A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276
Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E.
5
2018
Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046
Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B.
5
2017
Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006
Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki
2
2016
A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346
Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B.
17
2015
Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113
Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph
6
2015
A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015
Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki
5
2015
Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114
Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki
5
2015
Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045
Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben
1
2015
Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. Zbl 1338.65008
Somersalo, Erkki; Calvetti, Daniela; Arnold, Andrea
1
2015
Statistical methods in imaging. 2nd edition. Zbl 1331.62322
Calvetti, Daniela; Somersalo, Erkki
1
2015
Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200
Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki
12
2014
Inverse problems in the Bayesian framework. Zbl 1305.00104
11
2014
Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271
Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki
11
2014
Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047
Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela
1
2014
Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089
Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki
13
2013
Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035
Calvetti, Daniela; Somersalo, Erkki
5
2013
Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315
Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki
4
2013
Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133
Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki
9
2012
A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129
Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela
4
2012
A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112
Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela
3
2012
Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027
Calvetti, Daniela; Somersalo, Erkki
6
2011
Bayesian mixture models for source separation in MEG. Zbl 1234.92042
Calvetti, Daniela; Homa, Laura; Somersalo, Erkki
2
2011
Statistical methods in imaging. Zbl 1259.62057
Calvetti, Daniela; Somersalo, Erkki
1
2011
Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023
Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki
13
2010
Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107
Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki
22
2009
Hypermodels in the Bayesian imaging framework. Zbl 1137.62062
Calvetti, Daniela; Somersalo, Erkki
44
2008
Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738
Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki
7
2008
Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009
Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E.
1
2008
An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010
Calvetti, Daniela; Somersalo, Erkki
96
2007
Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008
Kaipio, Jari; Somersalo, Erkki
87
2007
A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018
Calvetti, Daniela; Somersalo, Erkki
21
2007
Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024
Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik
4
2007
Microlocal sequential regularization in imaging. Zbl 1141.94305
Calvetti, Daniela; Somersalo, Erkki
1
2007
Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042
Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M.
54
2006
Aristotelian prior boundary conditions. Zbl 1095.94005
Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki
15
2006
Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107
Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki
13
2006
Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020
Calvetti, Daniela; Somersalo, Erkki
8
2006
Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027
Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E.
5
2006
Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106
Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki
3
2006
Using process tomography as a sensor for optimal control. Zbl 1083.65061
Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P.
3
2006
Statistical and computational inverse problems. Zbl 1068.65022
Kaipio, Jari; Somersalo, Erkki
507
2005
Priorconditioners for linear systems. Zbl 1087.65044
Calvetti, Daniela; Somersalo, Erkki
23
2005
Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017
Calvetti, Daniela; Somersalo, Erkki
5
2005
Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079
Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H.
8
2004
Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174
Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki
2
2004
Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034
Somersalo, E.; Voutilainen, A.; Kaipio, J. P.
7
2003
Inverse problems for time harmonic electrodynamics. Zbl 1129.78307
Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki
5
2003
Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171
Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki
2
2003
Estimation of optical absorption in anisotropic background. Zbl 1003.35124
Heino, Jenni; Somersalo, Erkki
7
2002
Analysis of the PML equations in general convex geometry. Zbl 1200.35013
Lassas, Matti; Somersalo, Erkki
37
2001
State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134
Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P.
16
2001
Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141
Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki
11
2001
Uniqueness of identifying the convection term. Zbl 1101.35398
Cheng, Jin; Nakamura, Gen; Somersalo, Erkki
10
2001
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
77
2000
Nonstationary inverse problems and state estimation. Zbl 0927.35134
Kaipio, J.; Somersalo, E.
77
1999
Inverse problems with structural prior information. Zbl 0949.65144
Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E.
39
1999
On the existence and convergence of the solution of PML equations. Zbl 0899.35026
Lassas, M.; Somersalo, E.
63
1998
Dynamical electric wire tomography: a time series approach. Zbl 0908.35138
Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki
2
1998
Electrical impedance tomography with basis constraints. Zbl 0872.35130
Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A.
11
1997
Impedance imaging and electrode models. Zbl 0880.65111
Järvenpää, Seppo; Somersalo, Erkki
2
1997
Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138
Ola, Petri; Somersalo, Erkki
31
1996
Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149
Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki
11
1994
Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162
Sommersalo, Erkki
6
1994
An inverse boundary value problem in electrodynamics. Zbl 0804.35152
Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki
57
1993
Inverse problems in mathematical physics. Proceedings of the Lapland conference on inverse problems held at Saariselkä, Finland, 14-20 June 1992. Zbl 0782.00084
1
1993
Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055
Somersalo, Erkki; Cheney, Margaret; Isaacson, David
148
1992
A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128
Somersalo, Erkki; Isaacson, David; Cheney, Margaret
33
1992
Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122
Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli
16
1991
Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095
Päivärinta, Lassi; Somersalo, Erkki
16
1991
Linear inverse problems for generalised random variables. Zbl 0681.60015
Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki
35
1989
Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103
Ramm, Alexander G.; Somersalo, Erkki
3
1989
Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104
Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert
1
1989
One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005
Somersalo, Erkki
1
1989
A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076
Päivärinta, L.; Somersalo, E.
25
1988
The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134
Haario, Heikki; Somersalo, Erkki
1
1987
The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066
Päivärinta, Lassi; Somersalo, Erkki
1
1987
all top 5

Cited by 1,915 Authors

41 Somersalo, Erkki
35 Calvetti, Daniela
32 Stuart, Andrew M.
29 Hyvönen, Nuutti
29 Kaipio, Jari P.
20 Lassas, Matti J.
18 Marzouk, Youssef M.
17 Kolehmainen, Ville
17 Uhlmann, Gunther Alberto
16 Jin, Bangti
14 Li, Peijun
14 Soize, Christian
13 Arridge, Simon R.
13 Bardsley, Johnathan M.
11 Seppänen, Aku
10 Helin, Tapio
10 Huttunen, Janne M. J.
10 Li, Jinglai
10 Pitolli, Francesca
10 Vauhkonen, Marko
10 Yan, Liang
9 Cui, Tiangang
9 Girolami, Mark A.
9 Iglesias, Marco A.
9 Kurylëv, Yaroslav Vadimovich
9 Pereyra, Marcelo
9 Siltanen, Samuli
8 Bao, Gang
8 Hauptmann, Andreas S.
8 Lionheart, William Robert Breckon
8 Maass, Peter
8 Petra, Noemi
8 Sanz-Alonso, Daniel
8 Tarvainen, Tanja
7 Ammari, Habib
7 Arnold, Andrea
7 Burger, Martin
7 Chung, Julianne M.
7 Dong, Yiqiu
7 Dunlop, Matthew M.
7 Garde, Henrik
7 Ghattas, Omar N.
7 Hansen, Per Christian
7 Harrach, Bastian
7 Liu, Hongyu
7 Salo, Mikko
7 Staboulis, Stratos
7 Sun, Jiguang
7 Tempone, Raúl F.
7 Wu, Haijun
6 Alsaker, Melody
6 Bissantz, Nicolai
6 Bui-Thanh, Tan
6 Chung, Matthias
6 Dette, Holger
6 Glatt-Holtz, Nathan E.
6 Hosseini, Bamdad
6 Jia, Zhongxiao
6 Khan, Taufiquar
6 Law, Kody J. H.
6 Mueller, Jennifer L.
6 Mustonen, Lauri
6 Nakamura, Gen
6 Ola, Petri
6 Orlande, Helcio Rangel Barreto
6 Päivärinta, Lassi
6 Pasciak, Joseph E.
6 Pragliola, Monica
6 Roininen, Lassi
6 Saibaba, Arvind Krishna
6 Serov, Valery S.
5 Abdulle, Assyr
5 Agapiou, Sergios
5 Alexanderian, Alen
5 Barceló, Juan Antonio
5 Capistrán, Marcos A.
5 Castello, Daniel Alves
5 Cheng, Jin
5 Christen, J. Andrés
5 de Hoop, Maarten V.
5 Deng, Zhiliang
5 Du, Yu
5 Durmus, Alain
5 Fox, Colin D.
5 Gelb, Anne
5 Greenleaf, Allan
5 Jia, Junxiong
5 Jiang, Yu
5 Knudsen, Kim M.
5 Krometis, Justin A.
5 Lai, Ru-Yu
5 Li, Zhaoxing
5 Lu, Shuai
5 Meroño, Cristóbal J.
5 Nannen, Lothar
5 Nicholson, Ruanui
5 Oden, John Tinsley
5 Prudhomme, Serge
5 Ruthotto, Lars
5 Sabelfeld, Karl Karlovich
...and 1,815 more Authors
all top 5

Cited in 229 Serials

133 Inverse Problems
72 Journal of Computational Physics
58 Inverse Problems and Imaging
54 SIAM/ASA Journal on Uncertainty Quantification
46 Inverse Problems in Science and Engineering
44 SIAM Journal on Scientific Computing
42 Computer Methods in Applied Mechanics and Engineering
30 SIAM Journal on Imaging Sciences
23 Journal of Computational and Applied Mathematics
21 SIAM Journal on Applied Mathematics
16 Journal of Inverse and Ill-Posed Problems
15 International Journal for Numerical Methods in Engineering
14 Statistics and Computing
13 Computers & Mathematics with Applications
13 Mathematics of Computation
13 SIAM Journal on Numerical Analysis
13 Journal of Theoretical Biology
12 Journal of Mathematical Analysis and Applications
12 Numerische Mathematik
12 Journal of Scientific Computing
12 SIAM Journal on Mathematical Analysis
10 Applicable Analysis
10 Applied Numerical Mathematics
10 Journal of Mathematical Imaging and Vision
9 Journal of Differential Equations
9 Communications in Computational Physics
8 Communications in Partial Differential Equations
7 Communications in Mathematical Physics
7 Journal of Mathematical Physics
7 Mathematical Biosciences
7 Bulletin of Mathematical Biology
7 Applied Mathematical Modelling
7 SIAM Review
6 Mathematical Methods in the Applied Sciences
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Mathematical Problems in Engineering
6 Multiscale Modeling & Simulation
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 The Annals of Applied Statistics
5 Scandinavian Journal of Statistics
5 Applied Mathematics and Computation
5 BIT
5 Journal of Functional Analysis
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 International Journal of Computer Mathematics
5 Computational Statistics and Data Analysis
5 Engineering Analysis with Boundary Elements
5 Computational Geosciences
5 Archives of Computational Methods in Engineering
4 Archive for Rational Mechanics and Analysis
4 Journal of Mathematical Biology
4 Journal of Statistical Physics
4 Mathematische Annalen
4 Mathematics and Computers in Simulation
4 Computational Mechanics
4 COMPEL
4 Advances in Computational Mathematics
4 Journal of Machine Learning Research (JMLR)
4 Acta Numerica
4 Mathematical Biosciences and Engineering
3 Computer Physics Communications
3 Wave Motion
3 Duke Mathematical Journal
3 The Journal of Geometric Analysis
3 Numerical Algorithms
3 Computational Statistics
3 Computational Mathematics and Mathematical Physics
3 Bernoulli
3 The Journal of Fourier Analysis and Applications
3 Journal of Applied Statistics
3 SIAM Journal on Applied Dynamical Systems
3 Computational & Mathematical Methods in Medicine
3 Electronic Journal of Statistics
3 GEM - International Journal on Geomathematics
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Computers and Fluids
2 International Journal of Engineering Science
2 International Journal of Heat and Mass Transfer
2 Journal of Engineering Mathematics
2 Physica A
2 Advances in Mathematics
2 Annals of the Institute of Statistical Mathematics
2 The Annals of Statistics
2 Collectanea Mathematica
2 Journal of the American Statistical Association
2 Journal of Multivariate Analysis
2 Meccanica
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Statistics & Probability Letters
2 Stochastic Analysis and Applications
2 Physica D
2 Acta Mathematicae Applicatae Sinica. English Series
2 Statistical Science
2 Revista Matemática Iberoamericana
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 The Annals of Applied Probability
2 Test
2 Applied and Computational Harmonic Analysis
...and 129 more Serials
all top 5

Cited in 47 Fields

652 Numerical analysis (65-XX)
472 Partial differential equations (35-XX)
394 Statistics (62-XX)
207 Optics, electromagnetic theory (78-XX)
186 Biology and other natural sciences (92-XX)
109 Probability theory and stochastic processes (60-XX)
90 Computer science (68-XX)
84 Information and communication theory, circuits (94-XX)
82 Mechanics of deformable solids (74-XX)
72 Fluid mechanics (76-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
46 Operator theory (47-XX)
42 Geophysics (86-XX)
39 Operations research, mathematical programming (90-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
35 Systems theory; control (93-XX)
22 Functional analysis (46-XX)
21 Ordinary differential equations (34-XX)
20 Integral equations (45-XX)
20 Classical thermodynamics, heat transfer (80-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Global analysis, analysis on manifolds (58-XX)
16 Quantum theory (81-XX)
12 Approximations and expansions (41-XX)
12 Integral transforms, operational calculus (44-XX)
12 Statistical mechanics, structure of matter (82-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Potential theory (31-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Differential geometry (53-XX)
4 Mechanics of particles and systems (70-XX)
3 Functions of a complex variable (30-XX)
3 Manifolds and cell complexes (57-XX)
3 Astronomy and astrophysics (85-XX)
2 Combinatorics (05-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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