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The combined distribution acknowledges the uncertainty in the prior formulation of model discrepancy function.
Some of already known results for words generated by primitive substitutions (including connection between Abelian complexity, balance function, discrepancy function and matrix of a primitive substitution) are summarized.
Inverse analysis is carried out by a batch, deterministic approach, using conventional optimization algorithms for the minimization of the discrepancy function.
Aiming to address the uncertainty arising from the selection of a particular prior, this paper first conducts a study on possible formulations of the model discrepancy function.
A first-order Taylor series expansion-based method is developed to investigate the potential redundancy caused by adding a discrepancy function to the original physics model.
This is not a strength of standard approaches to the statistical analysis of computer models where a certain "best input" assumption is usually made and model discrepancy is often described through a stationary Gaussian process prior on the discrepancy function.
Similar(22)
"Weirdness" is quantified using specific discrepancy functions, which are real-valued functions of data and of statistical model parameters.
We agree with [4], [20], [24] on the necessary adaptation of discrepancy functions to each particular situation where we might want to test departures of data from the model on case-specific features.
With respect to Method 2, Method 1 has the advantage of allowing the use of various discrepancy functions whereas Method 2 requires very specific test statistic functions; this means that different aspects of the probabilistic model can be studied with Method 1 rather than only the t functions that characterize the hypothesized probabilistic distribution.
For this purpose we propose two novel sets of test functions known as real and imaginary discrepancy test function, and real and imaginary cross-validation test functions.
This yielded memory functioning discrepancy (MFD), functional activity discrepancy (FAD) and social functioning discrepancy (SFD) scores.
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