During the development phase, the CrowdSight and Insight need an internet connection every time you start up the program. When you enter the redistribution phase with a release license, the SDKs need one-time internet connection for license activation.
The CrowdSight Toolkit requires an internet connection at start-up for validating the license but it does not require internet connection for the real-time analysis.
The F.A.C.E. API does require an internet connection for every execution since it is a Cloud based application.