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I guess that can happen sometimes in actual spaces too. The shortest path from a point near the north pole to the south pole can change dramatically if you slig
by OscarCunningham 9y ago
I guess that can happen sometimes in actual spaces too. The shortest path from a point near the north pole to the south pole can change dramatically if you slightly alter its endpoints.
Given a high-dimensional space it could be that most possible paths behave in this weird way.
- jimmytidey 9y agoHow useful is the spatial analogy if the space in question defies all our spatial intuitions? I can see it has mathematical meaning, but isn't the whole post about having intuitive understanding of sentence space?
- gugagore 9y agoI think it's less about intuitive understanding, and more about having a flat, numerical representation of a sentence that (qualitatively) satisfies some properties.