Most likely, it came bundled up with a driver which you installed for a Logitech product - in my case, it was a Logitech K750 keyboard (specifically, the driver for the unifying receiver), but it can be a mouse in your case, or another Logitech product.
Logitech Download Assistant, as the name implies, is a software which assists with suggestions and driver downloads for Logitech products you have connected to your Windows 10 machine. The error shows that Windows 10 is trying to find (but can't) a DLL file for a software, specifically for Logitech Download Assistant. first appeared for me when upgrading from Windows 7 or 8/8.1 to Windows 10, but it recently popped up again when installing a new Insider Preview Build on my Windows 10. The error There was a problem starting C:\Windows\System32\LogiLDA.dll.
