Please accept apology if this question is vague. (Would you please comment rather then downvote, I may be stopped to ask more questions. I will delete my question if required.)

It is related to the link which describes white noise theory to deal with stochastic differential equation. https://www.duo.uio.no/bitstream/handle/10852/10633/pm02-03.pdf?sequence=1&isAllowed=y On the other hand another theory relates to the same area as described in Wikipedia. https://en.wikipedia.org/wiki/Rough_path

Both of them shows that iterated integrals (different measures) has uniqueness. Rough path theory is very popular as it has has been used in machine learning however, white noise theory is not that popular and it seems it has not been used as extensively as the other. Is it possible to have comparison between the two? Any comments would be highly appreciated. Any reference would also be very helpful. I am looking for some insight to compare this two approach.