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Furthermore, we utilize two partitioning schemes due to Mond and Weir [7] and Yang [18], in conjunction with the generalized versions of the new classes of second-order invex functions introduced in (Verma and Zalmai [10]) to formulate six generalized parameter-free duality models for principal problem (P) and prove appropriate duality theorems.
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In separate mixed models for each principal component trait in each species (where latitude was included as a covariate), there were significant differences between native and introduced ranges for nine principal component measures in five species: Hypericum perforatum, Leucanthemum vulgare, Poa annua, Silene latifolia, and Solidago gigantea (P < 0.05, Appendix C).
This paper analyzes local and global behavior of several dynamical systems which generalize some artificial neural network (ANN) semilinear models originally designed for principal component analysis (PCA) in the characterization of random vectors.
The models were adjusted for principal components in order to minimise the effect of population substructure, and the Collaborative Oncological Gene-environment Study (COGS) [ 16] dataset was stratified by study.
We chose cubic regression modelling for our principal analysis.
A notable exception from the latter "at-least-quadratic" rule is the GRAMMAR-Gamma method and a method based on low rank approximation of the similarity matrix - with the latter exploiting the ideas similar to EIGENSTRAT approach and the methods assuming the adjustment of the model for top Principal Components of the kinship matrix variation.
He had been seen as a role model for school principals even before he walked into the midst of a gun battle among three teenagers near his Brooklyn elementary school.
One example for developing such models is principal components regression [44], which involves estimating a multiple linear regression model for the relationship between Y and the (X_l^* s, which were determined using PCA.
We present a toolkit for this task and show how it can be used systematically to design fully distributed algorithms for static linear Gaussian models, including principal component analysis, factor analysis, and probabilistic principal component analysis.
The several criteria had limitation for maize, rape and soybean cultivation in studying lands which the most limiting evaluation criteria including soil depth, slope, climate, pH, electrical conductivity, exchangeable sodium percentage, calcium carbonate and gypsum were selected for usage in prioritization models by principal component analysis and multi-dimensional scaling methods.
Each model has specific estimated parameters, for example, principal components in component models or coefficients in a regression model.
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