I experienced the same problems after having played about 30 hours... before that the game was running smoothly and without any major issues.
I tried all the suggestions I could find here in the forums... including uninstalling/reinstallig my graphics drivers, playing offline in Origin...
I updated my DirectX version, and now that really seems to have fixed it. At least I didn't experience any random crashes for 1,5 hours now... before that it was like every 3 to 15 minutes.
I've got Win7 installed. You can get the update for DirectX 11.1 here: http://www.microsoft.com/en-us/download/details.aspx?id=36805
I also deactivated cloud-saves in Origin and being logged in automatically in the game options.
Now it seems to be rather stable again... hope it helps!
