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The center vector weighted method.
The center vector weighted method A weighted center vector classification method is proposed by Shankar [32], which firstly defines a method of characteristics to distinguish ability, the ability to distinguish between rights and get a new center vector.
Jeno [33] did a research on high-dimensional data reduction from the perspective of center vector and least squares.
Least squares mapping method Jeno [33] did a research on high-dimensional data reduction from the perspective of center vector and least squares.
The output of the jth hidden layer (φ j) is described as varphi_{j} = exp left( { - frac{{||X - C_{j}||^{2} }}{{2sigma_{j}^{2} }}} right)quad j = 1, 2, 3, ldots,k (1)Where C j = [C j1, Cj 2,…,C jk ] T is the center vector of the jth neuron, and σ = [σ 1, σ 2,…,σ k ] T is the basis width (spread) vector, which is usually obtained experimentally.
The first center (vector) is chosen randomly and each remaining center is determined by greedily choosing a vector farthest from the set of already chosen centers.
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Inheriting the merits of mutation of differential evolution (DE), the proposed CBDX is a multi-parent recombination operator for generating offspring based on a parent vector and two parent center vectors.
These clusters represent four different states of raw water quality and can be characterized manifestly as center vectors of the clusters, as shown in Table 2.
He believed dimensionality reduction has its predominance over SVD, because clustered center vectors reflect the structures of raw data, while SVD takes no account of these structures.
The projections of the strains on the linear discriminant space were mapped onto the center vectors to calculate a representative score for each class, and the correlation coefficient of the rank-sum values of 268 parameters to the representative scores were computed to select a representative parameter for the cell morphology of each class (Additional file 5: Table S4).
Asymptotic multivariate normality of the MLEs then follows from Lemma 1 and Theorem 2 of Self and Liang (1987), which indicates that this centered vector converges to a multivariate normal distribution as stated below.
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