156
6 Stochastic Inverse Problems: Models and Metrics
Fig. 6.7 A 2D ellipsoidal confidence region. The origin, (x ∗
1 , x ∗
2 ), is the solution of the optimization problem
that NLSE already gives us the information to generate the entire N-dimensional
hyperellipsoid for a given problem. This would allow us to analytically calculate
such things as the volume of the ellipsoid, or cross-sectional areas, etc.
6 Stochastic Inverse Problems: Models and Metrics
Fig. 6.7 A 2D ellipsoidal confidence region. The origin, (x ∗
1 , x ∗
2 ), is the solution of the optimization problem
that NLSE already gives us the information to generate the entire N-dimensional
hyperellipsoid for a given problem. This would allow us to analytically calculate
such things as the volume of the ellipsoid, or cross-sectional areas, etc.