Those seem to be glossy samples, one solution is to give more samples or time to render until it can clean all those areas.
Now that will take forever because I am guessing you placed the light inside the glass, that type of sampling take a long time in any render engine.
What I would recommend is to fake it.
You can place the light outside your glass and place a simple self-illuminated geometry inside, lower the intensity and let the light do it job.
You could also leave the light inside the lamp but exclude the glass from that light, so it is not sampled.
Having said that, ART Render doesn't have many features to adjust this type of problem, if these workarounds do not fix your problem I would strongly recommend looking for a more advance render engine, such Arnold or V-Ray, Corona renders or others.
Let us know how it goes.