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Meditating on the converse statement is also an interesting thought exercise: A vector is (just) a (cached) function (evaluation).
by ssivark 3y ago
Meditating on the converse statement is also an interesting thought exercise: A vector is (just) a (cached) function (evaluation).
- jesuslop 3y agoyep, because of this one can do O(1) sigmoidals in float16 nnets with a 64K-word table.
- User23 3y agoCaching and evaluation doesn’t make any kind of sense for mathematical functions. They’re just mappings.
- slavapestov 3y agoYeah, but it’s true in a sense because an element of a finite-dimensional vector space can be thought of as a function from a finite set into a field.
- xigoi 3y agoOnly if the space has a canonical basis.
- harerazer 3y agoIndeed, many linear algebra textbooks define a tuple of real numbers as a function f: {1,...,n} -> R.