Sensitivity functions and their uses in inverse problems
From MaRDI portal
Publication:5440299
DOI10.1515/jiip.2007.038zbMath1141.34049OpenAlexW4205198252MaRDI QIDQ5440299
S. Dediu, Stacey L. Ernstberger, Harvey Thomas Banks
Publication date: 4 February 2008
Published in: jiip (Search for Journal in Brave)
Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/1074
inverse problemsFisher information matrixlogistic growth modelsensitivity and generalized sensitivity functionsagricultural production networks.
Sensitivity, stability, parametric optimization (90C31) Inverse problems involving ordinary differential equations (34A55) Inverse problems for functional-differential equations (34K29)
Related Items (19)
A sensitivity matrix based methodology for inverse problem formulation ⋮ Parameter Selection Methods in Inverse Problem Formulation ⋮ Identification of dynamical systems with structured uncertainty ⋮ Generalized sensitivity functions for multiple output systems ⋮ Convergence study and regularizing property of a modified Robin–Robin method for the Cauchy problem in linear elasticity ⋮ Sensitivity analysis methods in the biomedical sciences ⋮ Local sensitivity via the complex-step derivative approximation for 1D poro-elastic and poro-visco-elastic models ⋮ Optimal design for parameter estimation in EEG problems in a 3D multilayered domain ⋮ Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data ⋮ Standard error computations for uncertainty quantification in inverse problems: asymptotic theory vs. bootstrapping ⋮ Sensitivity via the complex-step method for delay differential equations with non-smooth initial data ⋮ An analysis of the delay-dependent HIV-1 protease inhibitor model ⋮ Mathematical modeling of continuous and intermittent androgen suppression for the treatment of advanced prostate cancer ⋮ An inverse method for bounded error parameter identification ⋮ Parameter estimation for the heat equation on perforated domains ⋮ Modelling of gas flow in shale using a finite volume method ⋮ An Inverse Problem Statistical Methodology Summary ⋮ Forecasting COVID-19 Chile' second outbreak by a generalized SIR model with constant time delays and a fitted positivity rate ⋮ Generalized sensitivities and optimal experimental design
Cites Work
- Sensitivity of dynamical systems to Banach space parameters
- Incorporation of variability into the modeling of viral delays in HIV infection dynamics
- Stochastic and deterministic models for agricultural production networks
- A parameter sensitivity methodology in the context of HIV delay equation models
- Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
- Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls
- Asymptotic Properties of Non-Linear Least Squares Estimators
This page was built for publication: Sensitivity functions and their uses in inverse problems
