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We provide an error analysis for the method.
We provide an error bound for the popular Nyström-approximated eigenvectors of the Normalized Cuts (NCut) out-of-sample problem.
P.3311 right column top paragraph: "RNAseq offers an approach to both disentangle transcription errors from translation errors and provide an error rate for every transcribed gene in a genome.
We also provide an error analysis for a simple differential model problem when a BDF method is considered for the time discretization and only few Newton iterations are performed at each temporal instant.
We first provide an error analysis to our approach which, roughly speaking, states that the error between the exact (probably unknown) data function and the obtained fitting function is small whenever the scattered samples have a high sampling density and a low noise level.
However, the scrambling scheme can only provide an error propagation effect, not error correction.
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After all, why would a customer rely on a business that has not taken the effort to provide an error-free landing page?
In this case, since this is real sequence data, we could not provide an error-free alignment.
We propose an efficient iterative algorithm for estimation of model parameters, provide an error-based choice for the tuning parameter and prove the consistency of the resulting estimate, both in terms of sign of the effects, as well as, variable selection properties.
Also, the collocation points can be relocated within an element by changing two user-defined parameters in the shifted Jacobi polynomial, thus providing an error indicator which can be used for mesh refinement purposes.
At first the translations it produces are nonsense, but a feedback loop provides an error signal that allows the position of each word to be refined until eventually the positions of words in the cloud captures the way humans use them – effectively a map of their meanings.
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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