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
The
a-priori 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.