Deep Black BoxOpen up the black box of AI one problem at a time, with your own hands. 21 problems in all.
Question 8
One straight line cannot fence off just the middle
These three columns are all you get — showing 5 of the 40
The other 35 have the same three columns and nothing more.
Nowhere does it say how many hours of study earns a pass.
Draw a single straight line and find the one that gets the most of the 40 right.
We split them with one straight line. A circle passed, a cross did not. Everything on the green side is answered “pass”.
Anyone drawn in red is someone the line got wrong
Move the knobs.
This is the shape of the real boundary
The shape of this problem. There is no layer here (3 knobs).
The thickness of a line is the size of the weight
What to take away
35 right. That is the ceiling for a single straight line (a figure confirmed by counting all 2,630,961 combinations).
Where this pays off
You can tell apart “the knobs are set badly” from “the shape is not enough”.
This one is the second kind. So next we add a layer.