One way to guess what might happen in a given situation is to compare it to similar situations in the past. Assume we already have some way of measuring similarity. Some past situations will be extremely similar to the current situation, and some will be less similar but still pretty close. How much weight should we attach to each?
If your data set is very small, then it is usually better for the weight to drop off slowly, while the opposite is true if your data set is large. Perhaps different individuals use different curves, and so some people will have an advantage at reasoning with scanty data, while others will have an advantage at reasoning with mountains of data. I thought that Alicorn was suggesting “luminosity” as a name for this personality trait. It looks like I was way off, though :-)
Fortunately, my first post in the sequence will be devoted to explaining what luminosity is in meticulous detail. Spoiler: it’s not like anything that is described in a Wikipedia article that makes my head swim that badly.
My interpretation of your description had been that luminosity is like the bandwidth parameter in kernel density estimation.
Can you elaborate on this? I suspect it’s not what Alicorn was describing, but it may be interesting in its own right.
(For what it’s worth, I understood the math in the Wikipedia article.)
One way to guess what might happen in a given situation is to compare it to similar situations in the past. Assume we already have some way of measuring similarity. Some past situations will be extremely similar to the current situation, and some will be less similar but still pretty close. How much weight should we attach to each?
If your data set is very small, then it is usually better for the weight to drop off slowly, while the opposite is true if your data set is large. Perhaps different individuals use different curves, and so some people will have an advantage at reasoning with scanty data, while others will have an advantage at reasoning with mountains of data. I thought that Alicorn was suggesting “luminosity” as a name for this personality trait. It looks like I was way off, though :-)
Fortunately, my first post in the sequence will be devoted to explaining what luminosity is in meticulous detail. Spoiler: it’s not like anything that is described in a Wikipedia article that makes my head swim that badly.