A regularization method [R.sub.[alpha]] is called of optimal order under the a-priori
assumption [x.sup.[dagger]] [member of] [X.sub.v,[rho]] if
probability for the first decoder, [mathematical expression not reproducible](i) is computed as follows:
Trial Vector Derivatives as a General Method for the Generation of A-Priori
Reduction Base for Nonlinear Systems
Our approach is unsupervised and makes no use of a-priori
knowledge about language-specific patterns.
Drawn from the model our a-priori
expectations or the expected behaviour of the independent variables on the dependent variable were: [FoS.sub.i] >; [NaDis.sub.i] <; [RPop.sub.i] >; [DisWo.sub.i] <; [LeInc.sub.i] >; [ECc.sub.i] <; [PDem.sub.i] >; [AccSF.sub.i] >; [AccSWa.sub.i] ; [AccHel.sub.i] >; [AccEd.sub.i] >; [AccInf.sub.i] >; [AccTrans.sub.i] >; [Pric.sub.i] < 0.
Based on the a-priori
information, [L'.sub.A]([c.sub.i]), the outer SISO decoder yields a-posteriori information, [L'.sub.M]([c.sub.i]) , as expressed by Eq.
To relax this condition we resort to nonnegative definite Lyapunov functional to obtain the a-priori
bound on all possible T -periodic solutions of Eqn.
As a result, classifications performed by different experts are not available and an analysis of concordance for such a-priori
labels was not conducted.
To determine a-priori
coordinates with sufficient precision for each site, the Precise Point Positioning (PPP) procedure was applied.
For obvious reasons, no organization would "choose" a-priori
this type of implementation.