M12

M12: Statistical Inverse Problems

Several applied inverse problems are truely statistical by nature. A widely accepted relation is given by the nature of the measurement error. But futhermore the underlying model may make extensive use of statistics in form of the random nature of the problem. This is for example the case in fluorescence microscopy, MRI or inverse problems in finance as option pricing. In this minisymposium we want to discuss the implications and the profit obtained by a sound statistical modelling. Additionally we want to illustrate the use of statistical methods like uniform confidence bands, extreme value theory, multiscale techniques and (penalized) maximum likelihood estimation in inverse problems and vice versa.

Organizer:
Frank Werner, Max Planck Institute for Biophysical Chemistry, Germany,   This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers 

Fabian Clemens Dunker, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multiscale tests for shape constraints in linear random coefficient models

Shuai Lu, Fudan University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Filter based methods for statistical linear inverse problems

Katharina Proksch, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multiscale scanning in inverse problems with applications to nanobiophotonics

Hanne Kekkonnen, University of Warwick, United Kingdom, This email address is being protected from spambots. You need JavaScript enabled to view it.
Posterior consistency and convergence rates for Bayesian inversion

Ralf Hielscher, Chemnitz University of Technology, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Kernel density estimation on the rotation group

Johannes Schmidt-Hieber, University of Leiden, NL, This email address is being protected from spambots. You need JavaScript enabled to view it.
Optimal Gaussian approximation of Poisson data

Konstantin Eckle, University of Bochum, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multiscale inference for a multıvariate density ın deconvolution

Kolyan Ray, University of Leiden, Netherlands, This email address is being protected from spambots. You need JavaScript enabled to view it.
Minimax theory for a class of non-linear statistical inverse problems

Mihaela Pricop-Jeckstadt, Technical University of Dresden, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Estimating the usual dietary intake in nutritional epidemıology: statistical challenges and a new two-step approach

Vilda Purutçuoğlu, Middle East Technical University, Turkey, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bayesian inference of deterministic MAPK/ERK pathway via reversible jumps Monte Carlo method