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We then perform a singular vector decomposition of the matrix, and enforce rank on by choosing only most significant singular values.
Selecting the first few basis vectors corresponding to the most significant singular values, the 3-D CIT is formulated as a weighted least squares estimation problem of the basis coefficients.
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When Jane Bown decided to donate her entire life's work to an archive established to preserve the histories of the Guardian and Observer newspapers, the trustees were aware that it represented one of the world's most significant and singular portraiture collections.
The most significant directions (singular vectors) are selected and used for the fingerprint initialization (step 2).
Using the four most significant left singular vectors, we clustered the samples by running the k-means clustering algorithm for 100 times for k = 3.
The largest 4 singular values out of 5 nonzero singular values belong to the singular vectors that explained almost 93% of the variance (1st: 53%; 2nd: 15%; 3rd:14.5%; 4th: 10.5). Figure 12 shows the scatter plot of the data projected on to the three most significant left singular vectors, which jointly explain almost 90% of the variance.
Typically, a selection is made by inspecting the fall-off of singular values of the most significant components, rejecting higher components having singular values that are in excess of a linear trend for the most significant components.
BBC News director, James Harding, defended the corporation's coverage saying Mr Mandela was a man of "singular significance" and the "most significant statesman of the last 100 years".
According to Lacan, one of the (if not the) most significant and indispensable conditions of possibility for singular subjectivity is the collective symbolic order (sometimes named "the big Other," a phrase to be unpacked further shortly—see 2.3 below).
Scratch at the surface of this perception, though, and just like any other medium where a select group swallows up the most significant audience percentage, freaks emerge from the depths: singular visionaries, crafting inimitable experiences.
Scratch at the surface of this perception, though, and just like any other medium in which a select group swallows up the most significant audience percentage, freaks emerge from the depths—singular visionaries crafting inimitable experiences.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com