Reformulating this as a parameter-dependent state-feedback like synthesis, based on which suitable solutions to the differential regulator equation can be obtained online, tractable solvability conditions are then provided in the form of parameter-dependent matrix inequalities.
However, the human expert can check of course the results at the end of the ML-pipeline (left side Fig. 1A), so even a fully automatic approach requires a kind of human interaction in the form of parameter tuning by the expert.
The linking methods and comparability/measurement invariance approaches cited above do not apply such transformations; rather they utilize (and test) invariance assumptions in the form of parameter constraints that lead to linked test scores on the same scale, thereby allowing comparisons across countries and over time.
The results of multivariable regression models are usually summarized in the form of parameter estimates for the covariates, goodness-of-fit statistics, and the relevant p-values.
We now consider a series of IMS measurements, for each of which we have extracted peaks available in the form of parameter vectors or descriptors.
There are also other researchers who suggest using expert knowledge to determine the models, such as taking the form of parameter constraints to account for the prior domain knowledge to restrict the search of network parameters [ 9].
The second step used a random-effects model to analyze the group aggregate of individual results, which come in the form of parameter estimates for each condition and each voxel (parameter maps).
Since the number of variables, that is, the number of wavenumber steps within the measured range 580 to 1,800 cm−1, was far more than the number of the samples, a certain form of parameter restriction was required when the model was fitted.
On the basis of the discrete stochastic kinetic model of Veksler and Kolomeisky, we previously gave explicit forms of parameters η and S as functions of various kinetic rate constants, equilibrium constants, and configurational factors.
It can be expected that all extensions will require expensive computation, but this computing can be made possible if combinatorial mathematics, graphical models, and machine learning are incorporated into closed forms of parameter estimation.
