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PCA, a well known dimensionality reduction technique, has been criticized because the sample projection in the low-dimensional space is not guaranteed to yield optimal sample partitions, particularly when the fraction of relevant genes specific to each cluster is small.
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Fig. 3 On the left: sample projection as acquired by the scintillator detector system.
SAM quantitative correlation analyses (FDR 0%) were also performed in order to reveal genes whose expression was positively or negatively correlated with either developmental stages or sample projection on the PCA Y-axis.
Three genes, Bcox, RBP2 and claudin 7b, were correlated (negatively or positively) to sample projection on the PCA Y-axis and were either down- (claudin 7b) or up-regulated (Bcox and RBP2) in pre-metamorphic larvae compared to previous and later stages.
Fig. 5 On top: sample projection (after sinogram stitching) corrected with dynamic flat fielding.
For the random walk, future changes in log r(t) are modeled by drawing from normal distributions to determine new values for r(t) at each time step [i.e. log r(t) ∼ Normal(log r(t), σ)], using an empirical variance term calculated as the mean of the squared differences in adjacent values for r(t) during the in-sample projection period.
The patterns were then used as masks over the fully sampled projections.
Thus, any estimates are based on an out-of-sample projection based on the assimilation experience of recent immigrants.
Tilting the sample results in a projection of the magnetic structure and associated stray field into the plane normal to the beam direction.
The 3D imaging mode requires the rotation of the sample while recoding the projection images.
The projection of the sample at 30°degrees is shown in Figure 2, and the aligned projections are shown in a video in Additional file 1.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com