Erkki Somersalo

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All published works
Action Title Year Authors
+ PDF Chat Computationally Efficient Sampling Methods for Sparsity Promoting Hierarchical Bayesian Models 2024 Daniela Calvetti
Erkki Somersalo
+ PDF Chat An efficient hierarchical Bayesian method for the Kuopio tomography challenge 2023 2024 Monica Pragliola
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Sparsity-promoting hierarchical Bayesian model for EIT with a blocky target 2024 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
+ PDF Chat Distributed Tikhonov regularization for ill-posed inverse problems from a Bayesian perspective 2024 Daniela Calvetti
Erkki Somersalo
+ Bayesian sparsity and class sparsity priors for dictionary learning and coding 2024 A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Adaptive anisotropic Bayesian meshing for inverse problems 2024 A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
+ Sparsity-Promoting Hierarchical Bayesian Model for Eit with a Blocky Target 2024 Erkki Somersalo
Daniela Calvetti
Monica Pragliola
+ PDF Chat An efficient hierarchical Bayesian method for the Kuopio tomography challenge 2023 2024 Monica Pragliola
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency 2023 Daniela Calvetti
Erkki Somersalo
+ PDF Chat A spatially distributed model of brain metabolism highlights the role of diffusion in brain energy metabolism 2023 Gideon Idumah
Erkki Somersalo
Daniela Calvetti
+ PDF Chat On the fast track: Rapid construction of stellar stream paths 2023 Nathaniel Starkman
Jo Bovy
Jeremy J. Webb
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency 2023 Daniela Calvetti
Erkki Somersalo
+ Sampling: The Real Thing 2023 Daniela Calvetti
Erkki Somersalo
+ Continuous and Discrete Multivariate Distributions 2023 Daniela Calvetti
Erkki Somersalo
+ Linear Algebra 2023 Daniela Calvetti
Erkki Somersalo
+ Bayesian Filtering for Gaussian Densities 2023 Daniela Calvetti
Erkki Somersalo
+ Computationally efficient sampling methods for sparsity promoting hierarchical Bayesian models 2023 Daniela Calvetti
Erkki Somersalo
+ Bayesian sparsity and class sparsity priors for dictionary learning and coding 2023 Alberto Bocchinfuso
Daniela Calvetti
Erkki Somersalo
+ Adaptive anisotropic Bayesian meshing for inverse problems 2023 A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
+ Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary 2022 Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
+ On the Fast Track: Rapid construction of stellar stream paths 2022 Nathaniel Starkman
Jo Bovy
Jeremy J. Webb
Daniela Calvetti
Erkki Somersalo
+ A Spatially Distributed Model of Brain Metabolism Highlights the Role of Diffusion in Brain Energy Metabolism 2022 Gideon Idumah
Erkki Somersalo
Daniela Calvetti
+ The Less Is More Linear Algebra of Vector Spaces and Matrices 2022 Daniela Calvetti
Erkki Somersalo
+ PDF Chat Time-harmonic diffuse optical tomography: H\"older stability of the derivatives of the optical properties of a medium at the boundary 2021 Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
+ PDF Chat Mining the Mind: Linear Discriminant Analysis of MEG Source Reconstruction Time Series Supports Dynamic Changes in Deep Brain Regions During Meditation Sessions 2021 Daniela Calvetti
Brian P. Johnson
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
+ Bayesian particle filter algorithm for learning epidemic dynamics 2021 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ PDF Chat Modeling Epidemic Spread among a Commuting Population Using Transport Schemes 2021 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ PDF Chat Overcomplete representation in a hierarchical Bayesian framework 2021 Monica Pragliola
Daniela Calvetti
Erkki Somersalo
+ Mining the Mind: Linear Discriminant Analysis of MEG source reconstruction time series supports dynamic changes in deep brain regions during meditation sessions 2021 Daniela Calvetti
Blake W. Johnson
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
+ Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary 2021 Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
+ Overcomplete representation in a hierarchical Bayesian framework 2020 Monica Pragliola
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Metapopulation Network Models for Understanding, Predicting, and Managing the Coronavirus Disease COVID-19 2020 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ Metapopulation network models for understanding, predicting and managing the coronavirus disease COVID-19 2020 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ Bayesian dynamical estimation of the parameters of an SE(A)IR COVID-19 spread model. 2020 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems 2020 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
+ Hybrid solver for hierarchical Bayesian inverse problems 2020 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
+ A Bayesian filtering approach to layer stripping for electrical impedance tomography 2020 Daniela Calvetti
Sumanth Reddy Nakkireddy
Erkki Somersalo
+ PDF Chat Sparsity Promoting Hybrid Solvers for Hierarchical Bayesian Inverse Problems 2020 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
+ Overcomplete representation in a hierarchical Bayesian framework 2020 Monica Pragliola
Daniela Calvetti
Erkki Somersalo
+ Metapopulation network models for understanding, predicting and managing the coronavirus disease COVID-19 2020 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ Bayesian dynamical estimation of the parameters of an SE(A)IR COVID-19 spread model 2020 Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
+ Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems 2020 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
+ PDF Chat Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors 2019 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
Alexander Strang
+ Hierachical Bayesian models and sparsity: <i>ℓ</i> <sub>2</sub> -magic 2019 Daniela Calvetti
Erkki Somersalo
Alexander Strang
+ Inverse problems: From regularization to Bayesian inference 2018 Daniela Calvetti
Erkki Somersalo
+ PDF Chat Iterative updating of model error for Bayesian inversion 2017 Daniela Calvetti
Matthew M. Dunlop
Erkki Somersalo
Andrew M. Stuart
+ Brain activity mapping from MEG data via a hierarchical Bayesian algorithm with automatic depth weighting: sensitivity and specificity analysis 2017 Daniela Calvetti
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
+ Beyond the Model Limit: Parameter Inference Across Scales 2017 Margaret D. Callahan
Daniela Calvetti
Erkki Somersalo
+ Priorconditioned CGLS-Based Quasi-MAP Estimate, Statistical Stopping Rule, and Ranking of Priors 2017 Daniela Calvetti
Francesca Pitolli
J. Prezioso
Erkki Somersalo
Barbara Vantaggi
+ Computational issues and numerical experiments for Linear Multistep Method Particle Filtering 2016 Daniela Calvetti
Salvatore Cuomo
Monica Pragliola
Erkki Somersalo
Gerardo Toraldo
+ PDF Chat A hierarchical Krylov–Bayes iterative inverse solver for MEG with physiological preconditioning 2015 Daniela Calvetti
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
+ PDF Chat Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs 2015 Erkki Somersalo
Daniela Calvetti
Andrea Arnold
+ Artificial boundary conditions and domain truncation in electrical impedance tomography. Part II: Stochastic extension of the boundary map 2015 Daniela Calvetti
Paul J. Hadwin
Janne M. J. Huttunen
Jari P. Kaipio
Erkki Somersalo
+ Statistical Methods in Imaging 2015 Daniela Calvetti
Erkki Somersalo
+ Bayes meets Krylov: preconditioning CGLS for underdetermined systems 2015 Daniela Calvetti
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
+ PDF Chat Variable order smoothness priors for ill-posed inverse problems 2014 Daniela Calvetti
Erkki Somersalo
Rubén D. Spies
+ Dynamic updating of numerical model discrepancy using sequential sampling 2014 Daniela Calvetti
Oliver G. Ernst
Erkki Somersalo
+ Energy Demand and Metabolite Partitioning in Spatially Lumped and Distributed Models of Neuron-Astrocyte Complex 2014 Daniela Calvetti
Yougan Cheng
Erkki Somersalo
+ Statistical Methods in Imaging 2010 Daniela Calvetti
Erkki Somersalo
+ Subjective Knowledge or Objective Belief? An Oblique Look to Bayesian Methods 2010 Daniela Calvetti
Erkki Somersalo
+ Hierarchical regularization for edge-preserving reconstruction of PET images 2010 Johnathan M. Bardsley
Daniela Calvetti
Erkki Somersalo
+ PDF Chat Conditionally Gaussian Hypermodels for Cerebral Source Localization 2009 Daniela Calvetti
Harri Hakula
Sampsa Pursiainen
Erkki Somersalo
+ First Calderón Prize 2008 William Rundell
Erkki Somersalo
+ Hypermodels in the Bayesian imaging framework 2008 Daniela Calvetti
Erkki Somersalo
+ Reconstruction of electromagnetic parameters from boundary measurements 2008 Erkki Somersalo
Petri Ola
Lassi Païvärinta
+ Conditionally Gaussian Hypermodels for Cerebral Source Localization 2008 Daniela Calvetti
Harri Hakula
Sampsa Pursiainen
Erkki Somersalo
+ Bayesian flux balance analysis applied to a skeletal muscle metabolic model 2007 Daniela Calvetti
Jenni Heino
Erkki Somersalo
Knarik Tunyan
+ Basic problem of statistical inference 2007 Daniela Calvetti
Erkki Somersalo
+ A unified Bayesian framework for algorithms to recover blocky signals 2007 Daniela Calvetti
Erkki Somersalo
+ Microlocal sequential regularization in imaging 2007 Daniela Calvetti
Erkki Somersalo
+ The Inverse Problem of Magnetoencephalography: Source Localization and the Shape of a Ball 2007 Erkki Somersalo
+ Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems 2006 Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
+ Statistical inverse problems: Discretization, model reduction and inverse crimes 2006 Jari P. Kaipio
Erkki Somersalo
+ Large‐Scale Statistical Parameter Estimation in Complex Systems with an Application to Metabolic Models 2006 Daniela Calvetti
Erkki Somersalo
+ Aristotelian prior boundary conditions 2006 Daniela Calvetti
Jari P. Kaipio
Erkki Somersalo
+ Statistical elimination of boundary artefacts in image deblurring 2005 Daniela Calvetti
Erkki Somersalo
+ Bayesian image deblurring and boundary effects 2005 Daniela Calvetti
Erkki Somersalo
+ Priorconditioners for linear systems 2005 Daniela Calvetti
Erkki Somersalo
+ Statistical and Computational Inverse Problems 2005 Jari P. Kaipio
Erkki Somersalo
+ Maxwell's Equations with Scalar Impedance: Inverse Problems with data given on a part of the boundary 2005 Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
+ New Analytic and Geometric Methods in Inverse Problems 2004 Kenrick Bingham
Yaroslav Kurylev
Erkki Somersalo
+ Focusing waves in electromagnetic inverse problems 2004 Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
+ Inverse problems for time harmonic electrodynamics 2003 Petri Ola
Lassi Païvärinta
Erkki Somersalo
+ Reconstruction of a manifold from electromagnetic boundary measurements 2003 Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
+ New analytic and geometric methods in inverse problems, Lectures given at the EMS summer school and conference held in Edinburgh, Scotland 2000 2003 Kenrick Bingham
Yaroslav Kurylev
Erkki Somersalo
+ Construction of anatomy-based priors with anisotropic characteristics with application to electrical impedance tomography 2002 Jari P. Kaipio
Ville Kolehmainen
N. Vauhkonen
Erkki Somersalo
+ Wind velocity observation with a CW Doppler radar 2002 Matti Lassas
M. Mataich
Samuli Siltanen
Erkki Somersalo
+ Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems 2002 Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
+ Locating anisotropies in electrical impedance tomography 2001 Erkki Somersalo
+ Uniqueness of identifying the convection term 2001 Jin Cheng
Gen Nakamura
Erkki Somersalo
+ Inverse problems with structural prior information 1999 Jari P. Kaipio
Ville Kolehmainen
Marko Vauhkonen
Erkki Somersalo
+ Nonstationary inverse problems and state estimation 1999 Jari P. Kaipio
Erkki Somersalo
+ Layer stripping for time-harmonic Maxwell's equations with high frequency 1994 Erkki Somersalo
+ Reconstruction of Singularities of a Scattering Potential in Two Dimensions 1994 Lassi Païvärinta
V. S. Serov
Erkki Somersalo
+ Inverse Problems in Mathematical Physics: Proceedings of the Lapland Conference on Inverse Problems Held at Saariselka, Finland, 14-20 June 1992 1993 Lassi Païvärinta
Erkki Somersalo
+ An inverse boundary value problem in electrodynamics 1993 Petri Ola
Lassi Païvärinta
Erkki Somersalo
+ A linearized inverse boundary value problem for Maxwell's equations 1992 Erkki Somersalo
David Isaacson
Margaret Cheney
+ Estimates for wave propagation in inhomogenous acoustic media 1991 Erkki Somersalo
Margaret Cheney
+ Layer stripping: a direct numerical method for impedance imaging 1991 Erkki Somersalo
Margaret Cheney
David Isaacson
Eugene Isaacson
+ Inversion of Discontinuities for the Schrödinger Equation in Three Dimensions 1991 Lassi Païvärinta
Erkki Somersalo
+ Electromagnetic Inverse Problems at Low Frequencies 1990 А. Г. Рамм
Erkki Somersalo
+ Electromagnetic inverse problems with surface measurements at low frequencies 1989 А. Г. Рамм
Erkki Somersalo
+ One-Dimensional Electromagnetic Inverse Reflection Problem: Formulation as a Riemann–Hilbert Problem and Imaging of Discontinuities 1989 Erkki Somersalo
+ Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources 1989 Margaret Cheney
Gregory Beylkin
Erkki Somersalo
Robert Burridge
+ A Generalization of the Calderón‐Vaillancourt Theorem to <i>L</i><sup>p</sup> and <i>h</i><sup>p</sup> 1988 Lassi Païvärinta
Erkki Somersalo
+ Inverse Scattering Problem for the Schrodinger Equation in Three Dimensions: Connections Between Exact and Approximate Methods 1988 Erkki Somersalo
Gregory Beylkin
Robert Burridge
Margaret Cheney
+ The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials 1987 Lassi Païvärinta
Erkki Somersalo
+ The backus-gilbert method revisited: background, implementation and examples 1987 Heikki Haario
Erkki Somersalo
+ One-dimensional electromagnetic reflection problem 1986 Erkki Somersalo
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Statistical and Computational Inverse Problems 2005 Jari P. Kaipio
Erkki Somersalo
22
+ PDF Chat Conditionally Gaussian Hypermodels for Cerebral Source Localization 2009 Daniela Calvetti
Harri Hakula
Sampsa Pursiainen
Erkki Somersalo
13
+ Statistical inverse problems: Discretization, model reduction and inverse crimes 2006 Jari P. Kaipio
Erkki Somersalo
11
+ Hypermodels in the Bayesian imaging framework 2008 Daniela Calvetti
Erkki Somersalo
11
+ PDF Chat A hierarchical Krylov–Bayes iterative inverse solver for MEG with physiological preconditioning 2015 Daniela Calvetti
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
10
+ A Global Uniqueness Theorem for an Inverse Boundary Value Problem 1987 John Sylvester
Günther Uhlmann
9
+ PDF Chat Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors 2019 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
Alexander Strang
8
+ Reconstructions From Boundary Measurements 1988 Adrian Nachman
8
+ Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective 2006 Daniela Calvetti
7
+ Hierachical Bayesian models and sparsity: <i>ℓ</i> <sub>2</sub> -magic 2019 Daniela Calvetti
Erkki Somersalo
Alexander Strang
7
+ From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images 2009 Alfred M. Bruckstein⋆
David L. Donoho
Michael Elad
7
+ Priorconditioners for linear systems 2005 Daniela Calvetti
Erkki Somersalo
7
+ Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1996 J. E. Dennis
Robert B. Schnabel
6
+ Statistical elimination of boundary artefacts in image deblurring 2005 Daniela Calvetti
Erkki Somersalo
6
+ Combined Parameter and State Estimation in Simulation-Based Filtering 2001 Jane Liu
West Mike
6
+ PDF Chat Sparsity Promoting Hybrid Solvers for Hierarchical Bayesian Inverse Problems 2020 Daniela Calvetti
Monica Pragliola
Erkki Somersalo
6
+ The uniqueness of a solution to an inverse scattering problem for electromagnetic waves 1992 David Colton
Lassi Païvärinta
6
+ Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images 1984 Stuart Geman
Donald Geman
6
+ A linearized inverse boundary value problem for Maxwell's equations 1992 Erkki Somersalo
David Isaacson
Margaret Cheney
5
+ An inverse boundary value problem in electrodynamics 1993 Petri Ola
Lassi Païvärinta
Erkki Somersalo
5
+ Methods of conjugate gradients for solving linear systems 1952 Magnus R. Hestenes
Eduard Stiefel
5
+ Rank-Deficient and Discrete Ill-Posed Problems 1998 Per Christian Hansen
5
+ Determining conductivity by boundary measurements 1984 Robert V. Kohn
Michael Vogelius
5
+ Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem 1996 Adrian Nachman
5
+ Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm 1997 I.F. Gorodnitsky
Bhaskar D. Rao
5
+ PDF Chat Decoding by Linear Programming 2005 Emmanuel J. Candès
Terence Tao
5
+ Maximum Likelihood Reconstruction for Emission Tomography 1982 L. A. Shepp
Y. Vardi
4
+ Aristotelian prior boundary conditions 2006 Daniela Calvetti
Jari P. Kaipio
Erkki Somersalo
4
+ The estimation of the basic reproduction number for infectious diseases 1993 Klaus Dietz
4
+ Electrical Impedance Tomography 1999 Margaret Cheney
David Isaacson
J.C. Newell
4
+ PDF Chat On the regularizing properties of the GMRES method 2002 Daniela Calvetti
Bryan W. Lewis
Lothar Reichel
4
+ Priorconditioned CGLS-Based Quasi-MAP Estimate, Statistical Stopping Rule, and Ranking of Priors 2017 Daniela Calvetti
Francesca Pitolli
J. Prezioso
Erkki Somersalo
Barbara Vantaggi
4
+ Substantial undocumented infection facilitates the rapid dissemination of novel coronavirus (SARS-CoV-2) 2020 Ruiyun Li
Sen Pei
Бин Чэн
Yimeng Song
Zhang Tao
Wan Yang
Jeffrey Shaman
4
+ PDF Chat On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations 1990 Odo Diekmann
Hans Heesterbeek
J.A.J. Metz
4
+ PDF Chat A brief history of R0 and a recipe for its calculation. 2002 Hans Heesterbeek
4
+ Approximating Posterior Distributions by Mixtures 1993 Mike West
4
+ PDF Chat Stable signal recovery from incomplete and inaccurate measurements 2006 Emmanuel J. Candès
Justin Romberg
Terence Tao
4
+ PDF Chat LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares 1982 Christopher C. Paige
Michael A. Saunders
4
+ The construction of next-generation matrices for compartmental epidemic models 2009 Odo Diekmann
Hans Heesterbeek
Michael C. Roberts
4
+ A contribution to the mathematical theory of epidemics 1927 W. O. Kermack
A. G. McKendrick
4
+ Numerical Methods for Least Squares Problems 1996 Åke Björck
4
+ Numerical methods for least squares problems 1996 Åke Björck
3
+ Integral Equation Methods in Scattering Theory 2013 David Colton
Rainer Kreß
3
+ DRAM: Efficient adaptive MCMC 2006 Heikki Haario
Marko Laine
Antonietta Mira
Eero Saksman
3
+ Ann-dimensional Borg-Levinson theorem 1988 Adrian Nachman
John Sylvester
Günther Uhlmann
3
+ PDF Chat An Adaptive Metropolis Algorithm 2001 Heikki Haario
Eero Saksman
J. Tamminen
3
+ Well-posed stochastic extensions of ill-posed linear problems 1970 Joel Franklin
3
+ For most large underdetermined systems of linear equations the minimal 𝓁<sub>1</sub>‐norm solution is also the sparsest solution 2006 David L. Donoho
3
+ An inverse boundary value problem for Maxwell's equations 1992 Ziqi Sun
Günther Uhlmann
3
+ Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials 1996 Petri Ola
Erkki Somersola
3