I have a sentence something like this
We apply Wiener filtering to obtain a solution.
In this "Wiener filtering" is a uncountable noun. I am not sure whether "the" is required before it.
You can use the article or not. It is a matter of choice. Normally it wouldn't be necessary unless you mean to set off the noun for some particular emphasis. For example, if you were speaking of several types of filtering and wanted to emphasize that this specific filtering is of the Wiener variety, especially if that choice were unusual or unexpected.