I don't want to promote anyone in particular, but there are a few vendors here, for example:

https://www.ovh.ie/dedicated_servers/gpu/ https://www.exoscale.ch/gpu/ http://www.cirrascale.com/cloud/plans.aspx http://www.nvidia.com/object/gpu-cloud-computing.html

Last link has a list of vendors. The one I used gave you a bare bones machine running some Linux distro, with no platform bullshit around it. Exactly what you need for deep learning work.