Do yourself a favor. Pull all the spark plugs (yes, remove the TMIC). Check for cracks in the ceramic. I had the same symptoms for the first 5K miles and after 3 dealer visits, they could not find the problem because they weren't authorized to pull the TMIC to check all the plugs. it would stutter / buck at low RPMs and until the engine was hot as it gets, then it would go away. It was the plugs. At higher RMPS and higher temps, the flash point of the fuel drops and the spark doesn't have to be as strong.
I had 2 cracked spark plugs. I found the problem myself, replaced the spark plugs and it was fixed. They told me that they were either defective or they were dropped on the floor before instal at the factory.
Check the plugs. I have a thread here with pictures.
http://www.mazdas247.com/forum/showthread.php?t=123656333&highlight=stuttering