Do you have this problem with the Classic version of the game, if you don't mind testing that for up to an hour?
Did you try shutting down all non-essential programs, etc, before starting the game?
One person with unspecified DirectX errors (the game froze rather than cash, and they couldn't click on the error message) found that it was caused by Windows 10's game mode notifications; disabling those fixed the problem.
A couple of game updates ago, one person reported getting this error on a monitor with a 144Hz refresh rate, but could avoid it limiting the game to 60FPS. That issue should be fixed, but you could try setting an FPS cap or lowering the game resolution or settings, to see if that makes a difference (in early development builds, some people in QA occasionally got these errors when running multiple instances of the game, or running the editor and game at the same time).
You may have found these suggestions already, but:
A clean re-install of the graphics drivers may help. See
here or
here, for example.
Several people have reported fixing this error by using MSI Afterburner (
download page) to slightly underclock their graphics card; see
here ('lower both the "Core Clock" and "Memory Clock" options by around 100 (so they say -100). Apply and close.').
One person with an nvidia card reported that disabling G-Sync in their drivers reduced the frequency of DXGI_ERROR_DEVICE_REMOVED crashes. Unfortunately, in that case the problem was hardware related, and other games started crashing before the card died completely.
There are a couple D:OS EE topics on this error (it seems to be rarer in D:OS 2):
DXGI ERROR Crash - turned WIN 10 conflict (reverting back to Win 8 avoided the problem)
DXGI device removed error/CreateTexture2D failed (fixed by a clean reinstall of the video drivers)
