A TS is an event that occurs when AI advances to the point where its humans can't keep up with understanding and/or predicting it's decision-making process and/or the results thereof.
Using this definition, it would appear that, like physical singularities (black holes) TS can occur on a large or small scale (micro black holes can pop in and out of existence, with little to no effect on the macro world). So, let's say we develop an AI that can teach itself to play Go. After a while, not even the smartest humans can beat it. Indeed, the smartest humans can't even understand* why it plays in the way that it does. If this counts as a TS, where does creativity come into play?
*(Something similar has happened before, but it was discovered that the neural network was using physical electrical effects that occurred in the actual hardware when certain pieces of code was run. When a human tried to analyse the actual code, it made no sense.)