Numeric.Statistics.Clustering.VectorUtils

A library providing basic vector operations for the clustering module

Datatypes

type Vector a = [a]

a vector is represented as an ordinary list

Vector Creation

singleton :: a -> Vector a

maps an element into a one element vector

emptyVector :: [a]

creates an empty vector

fromList :: [a] -> [Vector a]

converts every element of a given list into a one element vector

Vector Operations

addV :: Num a => [a] -> [a] -> [a]

adds two given vectors

subV :: Num a => [a] -> [a] -> [a]

subtracts two given vectors

mulV :: Num a => [a] -> [a] -> [a]

calculates the vector product of two given vectors

divV :: Fractional a => [a] -> [a] -> [a]

divides two given vectors

sumV :: Num a => [[a]] -> [a]

calculates the sum of a given list of vectors

Vector Metrics

euklideanDistance :: Floating a => Vector a -> Vector a -> a

qeuklideanDistance :: Floating a => [a] -> [a] -> a

norm :: Floating a => Vector a -> a

meanSquareV :: Floating a => [Vector a] -> a

Mathematical Helper Functions

average :: Floating a => [a] -> a

devsq :: Floating a => [a] -> a