Sentence examples for distribution of coefficient from inspiring English sources
Under the same conditions as those in Figure 3, Figure 5 shows the distribution of coefficient g in the dictionary domain.
R-side, or marginal, random-effects models estimated using GLIMMIX provide conditional coefficient estimates for each individual, that is, estimates for individual animals that are conditional on the distribution of coefficient estimates across all individuals in the population.
The appropriate prior on the distribution of coefficient magnitudes is often discussed [ 19].
The least variable probes as defined by the 75th percentile of the distribution of coefficient of variation (CV) values were removed to reduce noise using R 2.15.0 (NProbesRemaining = 11804).
Perhaps contrary to intuition, but consistent with theoretical results for CS [ 25, 42], we found that the phase transition to good recovery (at least as measured by μ P − value) was insensitive to the distribution of coefficient magnitudes.
According to CS theory, an L1-penalized method can still select some of the largest coefficients from a non-uniform distribution of coefficient magnitudes even if complete recovery is out of reach [ 49].
A uniform random distribution of coefficients was selected from 0.6 to 2.0 for each coefficient.
The hypothesis test that we adopt is based on the generalized Gaussian distribution of coefficients, whereas the Poisson noise or real noise may not meet this assumption.
The analysis of the image sequences provides a uniform distribution of coefficients of restitution with a mean value of ε¯= 0.45 and values ranging from ε= 0.06 to 0.84.
As shown in Supplementary Figure 9 in the Supporting Information, the coefficient of determination cutoff value was chosen by fitting a Pareto distribution to the distribution of coefficients of determination and setting the cutoff to the 99th percentile (0.85).
Due to the absence of parametric testing for the PLS-DA coefficients, the evaluation for significance is performed using permutation testing, in which the distribution of coefficients under the null hypothesis is generated via resampling of the existing data.
