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design [2012/05/07 07:51] matt |
design [2012/05/07 08:24] matt |
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===== Literature ===== | ===== Literature ===== | ||
- | Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations<br/> | + | **//Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations//**\\ |
- | Cao, Jiguo and Huang, Jianhua Z. and Wu, Hulin<br/> | + | **Cao, Jiguo and Huang, Jianhua Z. and Wu, Hulin**\\ |
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+ | Some quotes: | ||
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+ | > Classical optimal design criteria suffer from two major flaws when applied to nonlinear problems. First, they are based on linearizing the model around a point estimate of the unknown parameter and therefore depend on the uncertain value of that parameter. Second, classical design methods are unavailable in ill-posed estimation situations, where previous data lack the information needed to properly construct the design criteria... | ||
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+ | >The simulation-based approach allows one to start the model-based optimization of experiments at an early stage of the parameter estimation process, in situations where the classical design criteria are not available... | ||
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+ | Extends **Muller, P., Sanso, B., and De Iorio, M. (2004), “Optimal Bayesian Design by Inhomogeneous Markov Chain | ||
+ | Simulation,” Journal of the American Statistical Association, 99 (467), 788–798**. This is "Bayesian simulation-based optimal design". | ||
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+ | Use the term "Experimental Map". | ||
<code> | <code> | ||
@article{doi:10.1198/jcgs.2011.10021, | @article{doi:10.1198/jcgs.2011.10021, |