I get this same exact issue. Runs fine for 2-7 minutes and then it stops working. I'm running the lastest BETA version of my AMD driver as of 10/25. I actually took the time to reformat and reinstall everything fresh on my gaming machine to avoid issues. BF3 was running fine last night but BF4 crashes consistently.
Adding my App Launcher details:
Description
Faulting Application Path: C:\Program Files (x86)\Origin Games\Battlefield 4\bf4.exe
Problem signature
Problem Event Name: APPCRASH
Application Name: bf4.exe
Application Version: 1.0.0.0
Application Timestamp: 52668dcb
Fault Module Name: bf4.exe
Fault Module Version: 1.0.0.0
Fault Module Timestamp: 52668dcb
Exception Code: c0000005
Exception Offset: 0000000000b17f5b
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 1033
Additional Information 1: 4502
Additional Information 2: 4502f2508e1e8ee8c6fafa2879648263
Additional Information 3: f7c1
Additional Information 4: f7c15348a9a6d434280ee03f6780a412