Sentence examples for function to be estimated from inspiring English sources
This method solves the inverse natural convection problem accurately without a priori information about the unknown function to be estimated.
In this context, h corresponds to the function to be estimated (f), according to the formalism of the previous section.
It is an almost unbiased estimate of the expected error on unseen data, but requires the function to be estimated m times.
The proposed model generalizes the Bayesian dense deformable template model, a hierarchical model in which the template is the function to be estimated and the deformation is a nuisance, assumed to be random with a known prior distribution.
In the need for low assumption inferential methods in infinite-dimensional settings, Bayesian adaptive estimation via a prior distribution that does not depend on the regularity of the function to be estimated nor on the sample size is valuable.
In particular, extracting additional information about preference from each respondent facilitates assessment of preference heterogeneity among respondents through the use of interaction terms involving individual characteristics in the random utility function to be estimated.
However, in neuroscience, except in the particular case of the homogeneous Poisson process, there is no a priori parametric shape for the functions to be estimated.
An important point in which GPR differs from linear regression, is that the method assumes a probability distribution over the set of functions to be estimated, which allows for determining families of regression functions with specific functional forms.
If the implications of economic theory are described in terms of the shapes of functions implied by the theory (e.g. Engel curves) then any empirical investigation of the theory requires those functions to be estimated from data.
It is the first time where the same model allows both classical cyclic electrogravimetry (current and mass over a potential scan) and ac-electrogravimetry (electrochemical impedance and mass/potential transfer functions) to be estimated theoretically.
