Hi VP, do you mean the 'faster' the ice-caps are (in the process of) melting? I'm not trying to funny or anything...
The doomsday scenarios suggesting an ice-free Arctic give me the 'willies' for one main reason: the latent heat of the ice->water phase change is far greater than that required for merely warming-up water. IMO, melting ice (ignoring albedo!) is a self-limiting -ive feedback in a warming world...So, from where I'm sitting, there must be a degree of ice-cover (a threshold) below which, warming will accelerate. (As an ever-increasing component of heat will stay sensible?)
All this ASSUMES, other things being equal, that heat-in will exceed heat-out...Not a very tenable assumption, I know!
Bear with me, VP. I'm on an heuristic!