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The phrase "are randomly permuted" is correct and usable in written English.
It can be used in contexts involving statistics, algorithms, or any situation where items are rearranged in a random order.
Example: "The data points in the experiment are randomly permuted to ensure unbiased results."
Alternatives: "are shuffled randomly" or "are rearranged at random".
Exact(26)
The wavelet coefficients selected for embedding are randomly permuted with a secret key, achieving high security.
The locations of the nonzero components are randomly permuted.
The locations of the nonzero entries (i.e., the support) of x are randomly permuted.
To achieve syntax compliance, selected compliant codewords are randomly permuted with other compliant codewords.
After the sampling, they are randomly permuted to form 1,000 input parameter vectors, which are used to explore the effect of uncertainty in estimating the values of the input variables on the prediction of the outcome variable, (R_{s}), by (7).
To calculate percent increase in MSE and produce a VIP plot, the RF algorithm estimate the importance of each predictor by computing how much the error increases for a given tree when OOB data for each predictor are randomly permuted while all other predictors are left unchanged [38, 40].
Similar(33)
The training data labels were randomly permuted 10,000 times for permutation testing.
This dataset contains 23,711 transcripts; these were randomly permuted (the same random permutation was used for all tests).
FDRs were estimated by permutations: tumour and normal sample labels were randomly permuted, and the estimated distributions of for real and permuted data were compared.
Similarly, for the synergistic pair, we found the top-scoring synergy in 100 data sets that were identical to the original except that the phenotype values were randomly permuted on each, and the top permuted synergy scores were modeled, as above, with the Gumbel distribution.
For each analysis, factor labels were randomly permuted 10 000 times to build a permutation distribution rather than compare test statistics to normal distributions.
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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