Wow this is the first time i hear about such a method. Anywhere i can read up on how the temperature multiplier works and what the implications/effects are? Is it just changing the temperature based on how many tokens have already been processed (i.e. the temperature is variable over the course of a completion spanning many tokens)?
Just a fixed multiplier (say, 0.5) that makes you use half of the range. As I said I'm just speculating. But Sonnet 3.5's temperature definitely feels like it doesn't affect much. The model is overfit and that could be the cause.