establish Morlet wavelet dictionary; find optimal Morlet wavelet using correlation filtering based on maximal correlation coefficient criterion; construct cyclic Morlet wavelet given by (10) obtained in step 2; find cyclic period using CMWCF based on maximal correlation coefficient criterion.
Accordingly, the data symbol can be decoded as the one mapped to the most likely estimate of basis function with the maximal correlation coefficient, (4).
Therefore, the sixth global descriptor is a 65-dimensional vector which contains 13 out of the 14 features proposed by Haralick, leaving out just the maximal correlation coefficient.
A sequence of random variables { X m, m ≥ 1 } is said to be ρ-mixing if maximal correlation coefficient ρ ( m ) = sup k ≥ 1, X ∈ L 2 ( F 1 k ), Y ∈ L 2 ( F k + m ∞ ) | cov ( X, Y ) | Var ( X ) ⋅ Var ( Y ) → 0 as m → ∞.
A sequence of random variables {X m, m ≥ 1} is called to be ρ-mixing if maximal correlation coefficient ρ ( m ) = sup k ≥ 1, X ∈ L 2 ( ℱ 1 k ), Y ∈ L 2 ( ℱ k + m ∞ ) | cov ( X, Y ) | Var ( X ) ⋅ Var ( Y ) → 0, as m → ∞.
The extracted 13 co-occurrence features were as follows: angular second moment, contrast, correlation, sum of squares, inverse difference moment, sum average, sum variance, sum entropy, entropy, difference variance, difference entropy, information measures of correlation, and maximal correlation coefficient [ 14].
The protein families method was optimized to achieve the maximal Matthews correlation coefficient (MCC) in cross-validation, obtaining MCC = 0.748 with 87% of the organisms correctly classified.
The maximal Matthews correlation coefficient (MCC) was calculated to find the cutoff point for optimal score predictions.
We report the maximal Pearson correlation coefficient (r) computed from the set of selected CNV markers (Table 2, 10th column).
GlyNN was built by combining 60 artificial neural networks with a balloting procedure and obtained the maximal Matthews correlation coefficient (MCC) of 0.58 with the sequence size 23.
The maximal pairwise correlation coefficient between each of these two CNV markers associated with obesity ranged from 0.24 to 0.91 as estimated in the parents, whereas the range of pairwise correlations between those two markers with minimal P-values in the family-based and in the case control GWAS discovery sample was 0.15 0.84.
