Scientific documentationΒΆ Introduction Bayesian Inversion Problem Basic assumptions Computing \(P(y|s)\) Result for \(P(s|y)\) Modeling uncertainties Flux uncertainties Bias problem Filtering observations Coordinate filtering Data-based filtering R-matrix and uncertainties Transport uncertainty Approximating ensemble members Lateral boundary conditions Flux ensemble Uncorrelated uncertainties Uncertainty inflation Inflation and final result Special case: Diagonal R matrix Cycling Prior scaling factors Prior B matrix