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Computationally Efficient Sampling Methods for Sparsity Promoting Hierarchical Bayesian Models
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2024
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Daniela Calvetti
Erkki Somersalo
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An efficient hierarchical Bayesian method for the Kuopio tomography
challenge 2023
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2024
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Monica Pragliola
Daniela Calvetti
Erkki Somersalo
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Sparsity-promoting hierarchical Bayesian model for EIT with a blocky
target
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2024
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
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Distributed Tikhonov regularization for ill-posed inverse problems from
a Bayesian perspective
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2024
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Daniela Calvetti
Erkki Somersalo
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Bayesian sparsity and class sparsity priors for dictionary learning and coding
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2024
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A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
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Adaptive anisotropic Bayesian meshing for inverse problems
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2024
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A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
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Sparsity-Promoting Hierarchical Bayesian Model for Eit with a Blocky Target
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2024
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Erkki Somersalo
Daniela Calvetti
Monica Pragliola
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An efficient hierarchical Bayesian method for the Kuopio tomography challenge 2023
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2024
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Monica Pragliola
Daniela Calvetti
Erkki Somersalo
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Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency
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2023
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Daniela Calvetti
Erkki Somersalo
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A spatially distributed model of brain metabolism highlights the role of diffusion in brain energy metabolism
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2023
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Gideon Idumah
Erkki Somersalo
Daniela Calvetti
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On the fast track: Rapid construction of stellar stream paths
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2023
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Nathaniel Starkman
Jo Bovy
Jeremy J. Webb
Daniela Calvetti
Erkki Somersalo
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Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency
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2023
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Daniela Calvetti
Erkki Somersalo
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Sampling: The Real Thing
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2023
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Daniela Calvetti
Erkki Somersalo
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Continuous and Discrete Multivariate Distributions
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2023
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Daniela Calvetti
Erkki Somersalo
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Linear Algebra
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2023
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Daniela Calvetti
Erkki Somersalo
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Bayesian Filtering for Gaussian Densities
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2023
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Daniela Calvetti
Erkki Somersalo
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Computationally efficient sampling methods for sparsity promoting hierarchical Bayesian models
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2023
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Daniela Calvetti
Erkki Somersalo
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+
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Bayesian sparsity and class sparsity priors for dictionary learning and coding
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2023
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Alberto Bocchinfuso
Daniela Calvetti
Erkki Somersalo
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Adaptive anisotropic Bayesian meshing for inverse problems
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2023
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A Bocchinfuso
Daniela Calvetti
Erkki Somersalo
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Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary
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2022
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Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
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On the Fast Track: Rapid construction of stellar stream paths
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2022
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Nathaniel Starkman
Jo Bovy
Jeremy J. Webb
Daniela Calvetti
Erkki Somersalo
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A Spatially Distributed Model of Brain Metabolism Highlights the Role of Diffusion in Brain Energy Metabolism
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2022
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Gideon Idumah
Erkki Somersalo
Daniela Calvetti
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The Less Is More Linear Algebra of Vector Spaces and Matrices
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2022
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Daniela Calvetti
Erkki Somersalo
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Time-harmonic diffuse optical tomography: H\"older stability of the
derivatives of the optical properties of a medium at the boundary
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2021
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Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
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Mining the Mind: Linear Discriminant Analysis of MEG Source Reconstruction Time Series Supports Dynamic Changes in Deep Brain Regions During Meditation Sessions
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2021
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Daniela Calvetti
Brian P. Johnson
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
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Bayesian particle filter algorithm for learning epidemic dynamics
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2021
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Modeling Epidemic Spread among a Commuting Population Using Transport Schemes
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2021
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Overcomplete representation in a hierarchical Bayesian framework
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2021
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Monica Pragliola
Daniela Calvetti
Erkki Somersalo
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Mining the Mind: Linear Discriminant Analysis of MEG source reconstruction time series supports dynamic changes in deep brain regions during meditation sessions
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2021
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Daniela Calvetti
Blake W. Johnson
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
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Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary
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2021
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Jason Curran
Romina Gaburro
Clifford J. Nolan
Erkki Somersalo
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Overcomplete representation in a hierarchical Bayesian framework
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2020
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Monica Pragliola
Daniela Calvetti
Erkki Somersalo
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PDF
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Metapopulation Network Models for Understanding, Predicting, and Managing the Coronavirus Disease COVID-19
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2020
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Metapopulation network models for understanding, predicting and managing the coronavirus disease COVID-19
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2020
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Bayesian dynamical estimation of the parameters of an SE(A)IR COVID-19 spread model.
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2020
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems
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2020
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
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Hybrid solver for hierarchical Bayesian inverse problems
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2020
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
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A Bayesian filtering approach to layer stripping for electrical impedance tomography
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2020
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Daniela Calvetti
Sumanth Reddy Nakkireddy
Erkki Somersalo
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Sparsity Promoting Hybrid Solvers for Hierarchical Bayesian Inverse Problems
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2020
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
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Overcomplete representation in a hierarchical Bayesian framework
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2020
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Monica Pragliola
Daniela Calvetti
Erkki Somersalo
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Metapopulation network models for understanding, predicting and managing the coronavirus disease COVID-19
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2020
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Bayesian dynamical estimation of the parameters of an SE(A)IR COVID-19 spread model
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2020
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Daniela Calvetti
Alexander Hoover
Johnie Rose
Erkki Somersalo
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Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems
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2020
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
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Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors
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2019
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Daniela Calvetti
Monica Pragliola
Erkki Somersalo
Alexander Strang
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Hierachical Bayesian models and sparsity: <i>ℓ</i> <sub>2</sub> -magic
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2019
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Daniela Calvetti
Erkki Somersalo
Alexander Strang
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Inverse problems: From regularization to Bayesian inference
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2018
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Daniela Calvetti
Erkki Somersalo
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Iterative updating of model error for Bayesian inversion
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2017
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Daniela Calvetti
Matthew M. Dunlop
Erkki Somersalo
Andrew M. Stuart
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Brain activity mapping from MEG data via a hierarchical Bayesian algorithm with automatic depth weighting: sensitivity and specificity analysis
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2017
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Daniela Calvetti
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
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Beyond the Model Limit: Parameter Inference Across Scales
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2017
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Margaret D. Callahan
Daniela Calvetti
Erkki Somersalo
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Priorconditioned CGLS-Based Quasi-MAP Estimate, Statistical Stopping Rule, and Ranking of Priors
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2017
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Daniela Calvetti
Francesca Pitolli
J. Prezioso
Erkki Somersalo
Barbara Vantaggi
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Computational issues and numerical experiments for Linear Multistep Method Particle Filtering
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2016
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Daniela Calvetti
Salvatore Cuomo
Monica Pragliola
Erkki Somersalo
Gerardo Toraldo
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A hierarchical Krylov–Bayes iterative inverse solver for MEG with physiological preconditioning
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2015
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Daniela Calvetti
Annalisa Pascarella
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
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Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs
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2015
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Erkki Somersalo
Daniela Calvetti
Andrea Arnold
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Artificial boundary conditions and domain truncation in electrical impedance tomography. Part II: Stochastic extension of the boundary map
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2015
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Daniela Calvetti
Paul J. Hadwin
Janne M. J. Huttunen
Jari P. Kaipio
Erkki Somersalo
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Statistical Methods in Imaging
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2015
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Daniela Calvetti
Erkki Somersalo
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Bayes meets Krylov: preconditioning CGLS for underdetermined systems
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2015
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Daniela Calvetti
Francesca Pitolli
Erkki Somersalo
Barbara Vantaggi
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Variable order smoothness priors for ill-posed inverse problems
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2014
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Daniela Calvetti
Erkki Somersalo
Rubén D. Spies
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Dynamic updating of numerical model discrepancy using sequential sampling
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2014
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Daniela Calvetti
Oliver G. Ernst
Erkki Somersalo
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Energy Demand and Metabolite Partitioning in Spatially Lumped and Distributed Models of Neuron-Astrocyte Complex
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2014
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Daniela Calvetti
Yougan Cheng
Erkki Somersalo
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Statistical Methods in Imaging
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2010
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Daniela Calvetti
Erkki Somersalo
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Subjective Knowledge or Objective Belief? An Oblique Look to Bayesian Methods
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2010
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Daniela Calvetti
Erkki Somersalo
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Hierarchical regularization for edge-preserving reconstruction of PET images
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2010
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Johnathan M. Bardsley
Daniela Calvetti
Erkki Somersalo
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Conditionally Gaussian Hypermodels for Cerebral Source Localization
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2009
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Daniela Calvetti
Harri Hakula
Sampsa Pursiainen
Erkki Somersalo
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First Calderón Prize
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2008
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William Rundell
Erkki Somersalo
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Hypermodels in the Bayesian imaging framework
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2008
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Daniela Calvetti
Erkki Somersalo
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Reconstruction of electromagnetic parameters from boundary measurements
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2008
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Erkki Somersalo
Petri Ola
Lassi Païvärinta
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Conditionally Gaussian Hypermodels for Cerebral Source Localization
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2008
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Daniela Calvetti
Harri Hakula
Sampsa Pursiainen
Erkki Somersalo
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Bayesian flux balance analysis applied to a skeletal muscle metabolic model
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2007
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Daniela Calvetti
Jenni Heino
Erkki Somersalo
Knarik Tunyan
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Basic problem of statistical inference
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2007
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Daniela Calvetti
Erkki Somersalo
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A unified Bayesian framework for algorithms to recover blocky signals
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2007
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Daniela Calvetti
Erkki Somersalo
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Microlocal sequential regularization in imaging
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2007
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Daniela Calvetti
Erkki Somersalo
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The Inverse Problem of Magnetoencephalography: Source Localization and the Shape of a Ball
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2007
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Erkki Somersalo
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Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems
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2006
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Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
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Statistical inverse problems: Discretization, model reduction and inverse crimes
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2006
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Jari P. Kaipio
Erkki Somersalo
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Large‐Scale Statistical Parameter Estimation in Complex Systems with an Application to Metabolic Models
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2006
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Daniela Calvetti
Erkki Somersalo
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Aristotelian prior boundary conditions
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2006
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Daniela Calvetti
Jari P. Kaipio
Erkki Somersalo
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Statistical elimination of boundary artefacts in image deblurring
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2005
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Daniela Calvetti
Erkki Somersalo
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Bayesian image deblurring and boundary effects
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2005
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Daniela Calvetti
Erkki Somersalo
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Priorconditioners for linear systems
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2005
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Daniela Calvetti
Erkki Somersalo
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Statistical and Computational Inverse Problems
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2005
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Jari P. Kaipio
Erkki Somersalo
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Maxwell's Equations with Scalar Impedance: Inverse Problems with data given on a part of the boundary
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2005
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Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
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New Analytic and Geometric Methods in Inverse Problems
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2004
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Kenrick Bingham
Yaroslav Kurylev
Erkki Somersalo
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Focusing waves in electromagnetic inverse problems
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2004
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Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
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Inverse problems for time harmonic electrodynamics
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2003
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Petri Ola
Lassi Païvärinta
Erkki Somersalo
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Reconstruction of a manifold from electromagnetic boundary measurements
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2003
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Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
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New analytic and geometric methods in inverse problems, Lectures given at the EMS summer school and conference held in Edinburgh, Scotland 2000
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2003
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Kenrick Bingham
Yaroslav Kurylev
Erkki Somersalo
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Construction of anatomy-based priors with anisotropic characteristics with application to electrical impedance tomography
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2002
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Jari P. Kaipio
Ville Kolehmainen
N. Vauhkonen
Erkki Somersalo
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Wind velocity observation with a CW Doppler radar
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2002
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Matti Lassas
M. Mataich
Samuli Siltanen
Erkki Somersalo
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+
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Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems
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2002
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Yaroslav Kurylev
Matti Lassas
Erkki Somersalo
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+
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Locating anisotropies in electrical impedance tomography
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2001
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Erkki Somersalo
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Uniqueness of identifying the convection term
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2001
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Jin Cheng
Gen Nakamura
Erkki Somersalo
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Inverse problems with structural prior information
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1999
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Jari P. Kaipio
Ville Kolehmainen
Marko Vauhkonen
Erkki Somersalo
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Nonstationary inverse problems and state estimation
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1999
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Jari P. Kaipio
Erkki Somersalo
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Layer stripping for time-harmonic Maxwell's equations with high frequency
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1994
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Erkki Somersalo
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Reconstruction of Singularities of a Scattering Potential in Two Dimensions
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1994
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Lassi Païvärinta
V. S. Serov
Erkki Somersalo
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Inverse Problems in Mathematical Physics: Proceedings of the Lapland Conference on Inverse Problems Held at Saariselka, Finland, 14-20 June 1992
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1993
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Lassi Païvärinta
Erkki Somersalo
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An inverse boundary value problem in electrodynamics
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1993
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Petri Ola
Lassi Païvärinta
Erkki Somersalo
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A linearized inverse boundary value problem for Maxwell's equations
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1992
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Erkki Somersalo
David Isaacson
Margaret Cheney
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Estimates for wave propagation in inhomogenous acoustic media
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1991
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Erkki Somersalo
Margaret Cheney
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Layer stripping: a direct numerical method for impedance imaging
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1991
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Erkki Somersalo
Margaret Cheney
David Isaacson
Eugene Isaacson
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+
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Inversion of Discontinuities for the Schrödinger Equation in Three Dimensions
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1991
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Lassi Païvärinta
Erkki Somersalo
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Electromagnetic Inverse Problems at Low Frequencies
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1990
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А. Г. Рамм
Erkki Somersalo
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+
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Electromagnetic inverse problems with surface measurements at low frequencies
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1989
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А. Г. Рамм
Erkki Somersalo
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One-Dimensional Electromagnetic Inverse Reflection Problem: Formulation as a Riemann–Hilbert Problem and Imaging of Discontinuities
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1989
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Erkki Somersalo
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Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources
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1989
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Margaret Cheney
Gregory Beylkin
Erkki Somersalo
Robert Burridge
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A Generalization of the Calderón‐Vaillancourt Theorem to <i>L</i><sup>p</sup> and <i>h</i><sup>p</sup>
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1988
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Lassi Païvärinta
Erkki Somersalo
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Inverse Scattering Problem for the Schrodinger Equation in Three Dimensions: Connections Between Exact and Approximate Methods
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1988
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Erkki Somersalo
Gregory Beylkin
Robert Burridge
Margaret Cheney
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The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials
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1987
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Lassi Païvärinta
Erkki Somersalo
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The backus-gilbert method revisited: background, implementation and examples
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1987
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Heikki Haario
Erkki Somersalo
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One-dimensional electromagnetic reflection problem
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1986
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Erkki Somersalo
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