Log into the desktop remotely and automatically

I have an OSX machine I'm trying to automatically run applications on remotely via SSH. Everything works great, as long as the user is already logged into the computer. If I log out, or reboot the computer, my application fails until I log in again.

Is there any way to trigger a desktop login over SSH? I'm looking to avoid needing to manually intervene via Remote Desktop and the like. In case it matters, I'm running Mavericks presently, but will be upgrading to Yosemite soon.