Sentence examples for regularized coefficient from inspiring English sources

The idea of Tikhonov regularization [ 19, 20] will be used to obtain a formal definition of a regularized coefficient of multiple correlation.

Let the regularized coefficient of multiple correlation between the vector Z and the set of vectors { T1,…, T s } be defined as (10) r ~ ∗ Z, T = R Z T ∗ T R T T ∗ − 1 R Z T ∗.

Definition 2. Let the regularized coefficient of multiple correlation between the vector Z and the set of vectors { T 1,…, T s } be defined as (10) r ~ ∗ Z, T = R Z T ∗ T R T T ∗ − 1 R Z T ∗.

The other is a redundancy measure in the form of a new regularized version of the coefficient of multiple correlation r ~ ∗, which can be interpreted as a regularized coefficient of determination in linear regression.

We then analyze the cause for this behavior and propose a remedy to prevent the degradation by regularizing the coefficient(s) of the equalizer, and use the regularized equalizer for SNRs beyond the threshold value.

The lasso is one of the methods studied by GS investigators [ 16, 17], although Bayesian methods that regularize the coefficients with strong priors tend to be favored [ 18, 19].

We regularize the variable coefficient Helmholtz equations arising from implicit time discretizations for resistive MHD, in a way that leads to a symmetric positive-definite system uniformly in the time step.

The first class adopts regularized LS criteria in order to impose piecewise-constant AR coefficients.

The SV was regularized starting at degree and order 14, while the SA coefficients were damped for degrees 9 and higher, as described in Maus et al. (2006).

Connectivity coefficients vary as a function of time relative to stimulus onset, are regularized via basis expansions, and vary randomly across subjects.

Moreover, to make the coefficients conversion more reliable in the iterative process, we bring the non-local self-similarity constraint to regularize the HR sparse coefficients updates.