**3. Numerical Example**

For the numerical demonstration, we consider the problem of detecting the desired geometry (e.g., localized features) for a given specimen from noisy measurements of its dynamical response. We parameterize the geometry by the dimensions of the inner section (the inner length *li* and radius *ri*) as shown in Figure 2. The inner dimensions are inferred from noisy measurement of the beam deflection at the mid-span. Once the dimensions are estimated, we perform localized uncertainty propagation of the material parameters of the inner core. For the verification of the framework, a modular approach is considered, where each sub-component of the framework is verified as a standalone unit. This approach is justified by the sequential nature of the coupling mechanism between the building blocks of the framework (i.e., features identification and then uncertainty propagation). This approach quantifies the error in each step and prevents the error measures from being overly influenced by one component compared to another.
