Crash – Ubuntu Desktop Hangs Occasionally During Regular Use on Ubuntu 16.04

Ubuntu 16.04 has been hanging on me ~1x per day. This happens when I am in the middle of web browsing or using a desktop application, not when booting. When it does, the mouse pointer will still move freely, but clicking or keystrokes have no effect on my system until I do a hard reboot.

What is the best way for me to debug this?

Here is some information:

selah@selah-Precision-Tower-5810:~$ uname -a
Linux selah-Precision-Tower-5810 4.4.0-59-generic #80-Ubuntu SMP Fri Jan 6 17:47:47 UTC 2017 x86_64 x86_64 x86_64 GNU/Linux

Also, in case it is relevant, I have a "very big" monitor, a Dell 42" at 3840×2160 resolution.

selah@selah-Precision-Tower-5810:~$ lspci | grep VGA
03:00.0 VGA compatible controller: NVIDIA Corporation GM107GL [Quadro K2200] (rev a2)

UPDATE:

Following Artyom's advice I found the following message in my error logs:

Apr 27 09:47:25 selah-Precision-Tower-5810 kernel: nouveau 0000:03:00.0: fifo: SCHED_ERROR 0a [CTXSW_TIMEOUT]
Apr 27 09:47:29 selah-Precision-Tower-5810 kernel: nouveau 0000:03:00.0: fifo: SCHED_ERROR 0a [CTXSW_TIMEOUT]
Apr 27 09:47:33 selah-Precision-Tower-5810 kernel: nouveau 0000:03:00.0: fifo: SCHED_ERROR 0a [CTXSW_TIMEOUT]

Which has let me to this bug which describes similar behavior:
https://bugs.freedesktop.org/show_bug.cgi?id=93629