Hope this helps, because it had driven me nuts, tried every suggestion on this site and some others. My problem ended up being the unifying receiver on my logitech keyboard and mouse. I had it installed in a rear usb port and never had the first issue with either the keyboard or mouse until BF4, so for most things it works fine there but with BF4 had lag and freeze issues... FIX (at least for me): move the unifying receiver from the rear of the tower, closer to the keyboard. I used the USB extension hub that came with the k/m combo and installed in the same rear port. All is fine now...
The problem is still around. I turned off the Origin ingame overlay as suggested in many threads but it didn't help. Turning off the OSD of MSI Afterburner also didn't help. A friend of mine has got the same issue. It just ruins so many kill streaks and epic moments!
