The ClearEdge Automation software is installed locally on your machine.
You can also user a Remote Desktop app like Windows Remote Desktop or TeamViewer to access your home/office computer that is running the Automation software. You can typically do this from your mobile device or another computer.
Another solution is to install the software on a VPS like QuantVPS. As well as the benefit of accessing your software from any device you also have the benefit of an almost 100% "up time" avoiding the concern that a power or internet outage will turn off your software. A service like QuantVPS can also benefit you with speeds of execution being that their data centers are close to the CME exchange in Chicago.