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"the training data" is correct and usable in written English.
It is typically used when discussing a set of data that is used for training or educating someone, such as a machine learning algorithm or a group of individuals. Example: "Before beginning the experiment, the researchers collected and analyzed the training data to ensure the accuracy and reliability of their results."
Exact(60)
It is people who provide the training data.
Train LSSVM through using the training data.
Table 3 summaries the training data.
The model is produced using only the training data.
The training data may not be available at one time.
The training data consists of 32 data sets.
where is the kernel parameter estimated from the training data.
The training data consist of simulated multi-condition training data.
The characteristic of the training data is plotted with °.
The training data and testing data are as described above.
EOwEP depends on the training data values and their residuals.
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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