Conform – or else! Conformal scores as tools to lay out a set of likely classification labels
The setting repeats depressingly often. A hurricane inching towards the Florida coast. Weather scientists glued to tracking monitors, hunched over simulation printouts, trying to remove people out of harm’s way. Urgent to them is the need to mark a patch of the shore where the hurricane is likely to hit. Those living in this patch need to be relocated. These scientists, and many before them – it’s hard to say since when – realized what’s at issue here is not quite so much the precise location the storm is going to hit – precise to the exact grain of sand, but a stretch of land (whose length may shrink gradually depending on how late we leave the forecasting) where it is going to affect people with a high chance. A forecast interval of sorts.
How hard is it to tell dynamical systems apart?
Equivalence relationships are everywhere, both in mathematics and in our day-to-day life: when we write “eggs” on our shopping list, we understand that it means any brand of eggs, in other words we will consider equivalent any two boxes of eggs, no matter their brand.