:: Possible Fix::
I get the same problem with my 680 SLI, however i noticed a strange thing, After the crash the GPU Core clock is clocked down to “Energysave mode”, even if you have or dont have Save mode in the power management, And it´s stuck there, even if you load the GPU, resulting in severe FPS loss and slowdowns..For me, the “DirectX Function “GetDeviceRemovedReason” failed with DXGI_ERROR_DEVICE_HUNG” error always occur when the GPU exceeds 85c, for me.
By default my cards should have 1006mhz in Core clock, and 1100+ in Boost, after crash its dead fast in 650 and wont move or clock it self up to default clock speeds, no matter the amount of workload (as it should),in whatever game or application, resulting in bad FPS
I personally fixed this by downloading EVGA PrecisionX 16 and have a customized fan curve, since it seems no matter how hot, the GPU wont turn its fan to 100% by default, this program do.
So now my Clock speeds are at “maximum”, i bought 60 more FPS and it dont crash, played all day…
Conclude:
Installed EVGA PrecisionX 16
Fixed fan curves so it go 100% @ 75c, 80% @65c 70% @ 50c, a steady curve. (or whatever you prefer), and press Auto so it follows that curve (on BOTH cards if you got SLI, or have the sync button enabled)
Energy save mode @ Prefer maximum performance, in Nvidia control panel (since the card is stuck in clocked down mode after this crash, it dont matter what game you play, the cards is still clocked down, only a restart fixes it)
This allows me to play on the frame rate as my machine should have if it all where OK, i had around 0-70FPS before, i got 100-130 now.
Only problem ive yet to encounter is every time i start the computer, the EVGA PrecisionX 16 might forgotten to put auto back on for the fan curve, on a card, so it gets too hot since by default as i said above, the fans wont go to 100%, so gotta remember to check if both fans are on Auto, the curve is always saved.
Anyway, no crashes yet for 8 hours of gameplay, i had a crash every 30 min - 1 hour before.
Improved frame rate, no DX crashes, but my comp sounds like a vacuum cleaner 
So is this DICE/EA problem to fix?, i dont think so…It´s either driver optimizations for the game engine, or we all here have dusty overheating computers…or maybe both
I mean, there is around 60.000 players on PC…and EVERYONE with nvidia uses the same driver, the latest or the previous one..and if it where an in-game engine issue, all of those Nvidia players atleast, would have the same problem, not just a handful
EDIT: This maybe dont apply to everyone, or anyone at all, but it did the trick for me…for now.
Also, installing new/old Nvidia Experience fixes nothing, its just a stand-alone program that have NOTHING that integrates with games, so it changes nothing 