4 ms·
Okay, so that leads to a very obvious (imo) question I haven't seen anyone ask: What happens when you minimize Ln, with n > 2? Why don't we use any of those?
by lalaithion 10y ago
Okay, so that leads to a very obvious (imo) question I haven't seen anyone ask:
What happens when you minimize Ln, with n > 2? Why don't we use any of those?
- ssalazar 10y agoIncreasing n gives increasing weight to outliers, to the point where L-infinity is just the single maximum value. I would guess this is less useful when attempting to understand how existing data can make conclusions about future aggregate/typical cases vs. analyzing specifically the outliers.
- Sniffnoy 10y agoClarification: The l-infinity norm of a vector is the maximum absolute value of its coordinates. The analogue of the median and the mean that that gets you is the midpoint of the range.