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Variance explained by the 4 first principal components

Robust joint and individual variance explained

Robust joint and individual variance explained

... The above observations motivate us to demonstrate the applicability of the proposed decomposition into two prob- lems involving facial images captured under in-the-wild conditions, namely Facial Expression Synthesis and ...

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Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods

Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods

... using principal component analysis (PCA) is the selection of the number of principal components ...of principal components is very ...the variance of the reconstruction error to ...

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Measures of explained variance and pooling in multilevel models

Measures of explained variance and pooling in multilevel models

... Explained variance (R-squared) has been general- ized in various ways to multilevel models for hi- erarchical data structures in which individuals are grouped into units, and there are variables measured on ...

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Principles of Principal Components

Principles of Principal Components

... Although partial durations certainly enhance understanding, partial durations are, in a sense, too complete. They provide too much information. This is because partial durations define sensitivities to each point on the ...

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Confidence intervals for variance components and functions of variance components in the random effects model under non-normality

Confidence intervals for variance components and functions of variance components in the random effects model under non-normality

... The first possibilty is to look at two-factor random effects ...the variance components will be straight forward extensions of the one-way model, while others will take more ...

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Maximum likelihood estimation of variance components

Maximum likelihood estimation of variance components

... the first to present methods in ...estimating variance components: they are all variations on ANOVA estimates which involve equating various quadratic forms of the observations to their expected ...

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Estimation of variance components and breeding values

Estimation of variance components and breeding values

... Mixed linear models have been applied for predicting breeding values of dairy cattle in most of the developed coun- tries since the 1980s. However, the Russian Federation is still using the old contemporary comparison ...

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MM Algorithms for Variance Components Models.

MM Algorithms for Variance Components Models.

... for Variance Components ...the variance from different ...be explained by the genetic ...of variance component models remain numerically ...for variance components ...

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Common Functional Principal Components

Common Functional Principal Components

... functional principal components will suffice to approximate the functions X i with a high degree of ...reasons. First, distributions on function spaces are complex objects, and the Karhunen-Lo` eve ...

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Dynamic functional principal components

Dynamic functional principal components

... The observations are half-hourly measurements of the concentration (measured in µgm −3 ) of particulate matter with an aerodynamic diameter of less than 10µm, abbreviated as PM10, in ambient air taken in Graz, Austria ...

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Estimates of Variance Components for Gilt Retention Traits.

Estimates of Variance Components for Gilt Retention Traits.

... of Variance Components for Gilt Retention ...estimate variance components among traits of importance to gilt retention in modern swine ...at first mating and 377 d (SD=25) at ...

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Variance Components of Models of Sudoku Square Design

Variance Components of Models of Sudoku Square Design

... Sudoku square design consists of treatments that are arranged in a square array such that each row, column or sub-square of the design contains each of the treatments only once. Hui-Dong and Ru-Gen, ([HR08]) defined ...

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Principal Components Analysis of Discrete Datasets

Principal Components Analysis of Discrete Datasets

... (or principal components, PC) for this space like what we did for continuous ...its first and second moments, and thus for dimension reduction, PCA is an optimal method for multivariate normal ...

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Principal Components of Expressive Speech Animation

Principal Components of Expressive Speech Animation

... As explained in Section 3, for all the phonemes used for speech animation, we transform the 3D position vectors into the newly generated expression and viseme ...

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Analysis of principal components of pollution in Baiyangdian

Analysis of principal components of pollution in Baiyangdian

... the principal components analysis we got 5 principal control factors in Baiyangdian at ...NH 4 + -N and NO 3 - -N which were defined as the first principal component and secondly ...

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Principal components analysis in clinical studies

Principal components analysis in clinical studies

... apply principal components analysis (PCA) over these ...with principal components (PC) that are linearly ...the first PC has the largest possible variance and only some ...

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The identification and application of common principal components

The identification and application of common principal components

... The topic of CPC discriminant analysis was first studied by Schmid (1987), with the main results discussed again by Flury (1988). Flury and Schmid (1992) derived asymptotic results for the discrimination ...

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Direct Estimation of Genetic Principal Components

Direct Estimation of Genetic Principal Components

... DISCUSSION errors have almost no impact on the accuracy of the overall estimate of the covariance function. The point of departure for this article is the simple How do the results depend on the number of mea- ...

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On the principal components of sample covariance matrices

On the principal components of sample covariance matrices

... its first advantage is that it is completely local in the spectrum, and in particular when applied near the right-hand edge of the spectrum it is insensitive to the presence of a hard edge at the ...generalized ...

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Retaining principal components for discrete variables

Retaining principal components for discrete variables

... since principal compo- nents are linear composites of the measured variables and, thus, include common and unique ...of principal components to ...enough principal components to account ...

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