You could do a lot of ML without GPU support. Especially if you are dealing with sparse data (like text).
17 karma · joined May 29, 2014
The gist of it is: it's really easy.
In this case your prior mean could be something as simple as an average conversion rate for all your past articles.
Remember that by using frequentist statistics your are implicitly assuming a uniform prior---I think it's quite easy to find weakly informative priors which are more plausible than saying that any conversion rate is equally likely.