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Beyond being invariant such representations can also disentangle the factors of variation in data.
The paper, published on preprint repository Arxiv (PDF), describes a new architecture for generating and blending images, particularly human faces, that "leads to better interpolation properties, and also better disentangles the latent factors of variation".
Consistent with this, the SEM analysis indicated that soil resources such as C and N levels were the causal factors of variation in enzyme activities at field-scale.
Dominant factors of variation were identified as the spatial distribution of total vegetation growth, seasonality of growth, magnitude of seasonal variability in growth, and regularity of variation in growth.
This study was thus designed to measure and to characterize factors of variation of six health parameters in dog neonates, and to evaluate their value as predictors of neonatal mortality.
Determining the factors of variation of plant water status at the landscape scale is crucial for mapping or evaluating crop water requirements, crop suitability or climate change impacts over large areas.
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The influence of genetic factors on variation of triacylglycerol was more important and the influence of unique environmental factors on variation of QUICKI was less important in obese participants, resulting in a higher heritability estimate for triacylglycerol and QUICKI in participants with higher BMI levels.
These transformations tend to disentangle factors of variations in data.
In general, there are cases, where internal disturbance (such as factors of variations caused within the system, wear and deterioration of parts, etc)., disturbance (factors of variations added from the outside of the system, environmental and usage conditions, etc)., and differences between products (variations between lots etc).
For higher-order tensors, the work in [24] used the high-order SVD (HOSVD) to decompose an ensemble of images into basis images that capture the different underlying factors of variations.
The main driving factors of variations in the liquid-phase water content were ambient humidity and saturated vapor pressure, and the effects of these factors decreased with increasing soil depth and snow cover thickness, similarly.
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CEO of Professional Science Editing for Scientists @ prosciediting.com