object PolynomialExpansion extends DefaultParamsReadable[PolynomialExpansion] with Serializable
The expansion is done via recursion. Given n features and degree d, the size after expansion is (n + d choose d) (including 1 and first-order values). For example, let f([a, b, c], 3) be the function that expands [a, b, c] to their monomials of degree 3. We have the following recursion:
$$ f([a, b, c], 3) &= f([a, b], 3) ++ f([a, b], 2) * c ++ f([a, b], 1) * c^2 ++ [c^3] $$
To handle sparsity, if c is zero, we can skip all monomials that contain it. We remember the current index and increment it properly for sparse input.
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- PolynomialExpansion.scala
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def
load(path: String): PolynomialExpansion
Reads an ML instance from the input path, a shortcut of
read.load(path)
.Reads an ML instance from the input path, a shortcut of
read.load(path)
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- PolynomialExpansion → MLReadable
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Implementing classes should override this to be Java-friendly.
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read: MLReader[PolynomialExpansion]
Returns an
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