Phylogenetic analysis was also done in MEGA7 (using the Maximum Likelihood method and the JTT matrix based model, with partial deletion of positions containing gaps and missing data).
We developed phylogenetic trees using the Maximum Likelihood method based on the Dayhoff matrix based model [ 47] and by Neighbor-Joining [ 68] using MEGA 5.0 software.
The Matrix-Factorization (MF) based models have become popular when building Collaborative Filtering (CF) recommenders, due to the high accuracy and scalability.
This combined with weight matrix based binding models [20] and spacing constraints [9], [10] gives us quantitative tools to model the sequence basis of eukaryotic transcriptional regulation.
Compared to the covariance matrix based detector, the proposed model-based adaptive detectors have significantly decreased the training requirements and the computation complexity.
The latter can be inferred based on the size of the smallest eigenvalues of G [ 5] or of the correlation matrix or by using likelihood based model selection tools such as Akaike's information criterion (AIC) [ 18], which takes into account both the magnitude of the likelihood and the number of parameters in the model, thus penalizing for overparameterized models.
We created a scoring matrix based on the CC model corresponding to the PAM distance of 140 (Dayhoff et al. 1978), as this has a similar entropy to BLOSUM62, which we will refer to as CC140.
Because some of our traits showed significant departure from a Brownian motion model of evolution (see Results), we did not compute the evolutionary variance-covariance matrix based on a Brownian motion model of evolution but rather on a matrix corrected by the lambda parameter (see below; [ 24, 27, 46]).
Then, a geostatistical constraint, in the form of an a priori model covariance matrix based on the variogram, was imposed as regularization to solve the electrical inverse problem.
In the present work, Dinger Funk equation was adopted to calculate the theoretical packing density of a castables matrix based on Stovall linear packing model and to design its particle size distribution.
