Additional symptom: Task manager (or Process Explorer) shows the game appear in the task list, but it closes immediately.
Startup crashes pertain to PhysX v2.7.1. Uninstall PhysX, and install the latest NVIDIA PhysX System Software.
If the issue still persists from the official drivers, uninstall PhysX, and attempt to use a legacy installer (such as the one distributed with the game.) Follow the instructions for merging PhysX files from C:\Program Files (x86)\AGEIA Technologies\v2.7.1 to C:\Program Files (x86)\NVIDIA Corporation\PhysX\Engine\v2.7.1