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These measures were strongly inter-correlated (r>0.55), thus we achieved dimension reduction by a principal component analysis that produced a single axis to describe the male's interest towards the control and the experimental breeding situation, separately (explained variance in the three measured behaviours: control situation, 77% experimental situation, 79%).
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The eigenvectors with the larger eigenvalues are selected to reconstruct a new data set to achieve dimension reduction according to the PCA.
Linear Discriminant Analysis (LDA) and Multilinear Principal Component Analysis (MPCA) are leading subspace methods for achieving dimension reduction based on supervised learning.
It achieves dimension reduction by a Petrov Galerkin projection associated with residual minimization; it delivers computational efficiency by a hyper-reduction procedure based on the 'gappy POD' technique.
Principal Components Analysis (PCA) is a classical statistical tool to achieve dimension reduction through consideration of linear combinations of the original variables.
As a classical statistical tool to achieve dimension reduction, principal components (PCs) are linear combinations of the underlying variables and usually several top PCs can explain a large amount of variation in the whole dataset.
In addition, they achieve dimension reduction by summarizing the data into a small number of components or variates, which are linear combinations of the original variables.
LAPEA, in analogy to e.g. principal components analysis (PCA), is a statistical tool one can use to achieve dimension reduction of highly complex sets of (genetic) data.
The emerging compressive sensing (CS) theory has pointed us a promising way of developing novel efficient data compression techniques, although it is proposed with original intention to achieve dimension-reduced sampling for saving data sampling cost.
The correlation between the objective reduction achieved, the dimension N and the geometric variance of the reduced-dimensionality space is shown and found significant.
With various beams in micro-scale, not only the stress strain relationship can be achieved, but dimension effects on flexural strength, Young's modulus, and failure strain of MEMS devices can also be precisely evaluated.
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