Matrix Module
Types and nested modules
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Functions and values
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Performs a element wise addition of matrices a and b (a+b).
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computes the column specific covariance matrix of a data matrix as described at:
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computes the column specific population covariance matrix of a data matrix
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computes the column specific sample covariance matrix of a data matrix
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Builds a new matrix whose elements are identical to the elements of a.
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Full Usage:
covarianceMatrixOf dataSource orientation dataMatrix
Parameters:
DataSource
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orientation : Orientation
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dataMatrix : matrix
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Returns: matrix
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computes the orientation and dataSource specific covariance matrix of a dataMatrix\
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Performs a element wise comparison of matrices a and b always preserving the greater value.
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Performs a element wise comparison of matrices a and b always preserving the smaller value.
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Performs a element wise multiplication of matrices a and b (a+b, Hadamard-Product).
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Iterates the given Matrix row wise and applies function f element wise.
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Iterates the given Matrix row wise and applies function f element wise.
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Iterates the given Matrix column wise and places every element in a new vector with length n*m.
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Iterates the given Matrix row wise and places every element in a new vector with length n*m.
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Applies a function f row wise to each element of the matrix, threading an accumulator argument through the computation.
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Full Usage:
foldCol f z a j
Parameters:
'T -> 'a -> 'T
z : 'T
a : Matrix<'a>
j : int
Returns: 'T
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Full Usage:
foldRow f z a i
Parameters:
'T -> 'a -> 'T
z : 'T
a : Matrix<'a>
i : int
Returns: 'T
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Full Usage:
foldi f z a
Parameters:
int -> int -> 'a -> float -> 'a
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z : 'a
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a : matrix
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Returns: 'a
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Applies a function f row wise to each element of the matrix, threading an accumulator argument through the computation.
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Iterates the given Matrix row wise and applies function f element wise.
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Iterates the given Matrix row wise and applies function f element wise.
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Returns col of index j of matrix a
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Accesses the m*n matrix a and returns a total of j2 Columns starting from column index j1. The Result is a new
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Returns lower triangular Matrix by setting all values beneath the diagonal to Zero.
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Accesses the m*n matrix a and returns a total of i2 rows and j2 columns starting from row index i1 and colum index j1. The Result is a new
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Returns row of index i of matrix a
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Accesses the m*n matrix a and returns a total of i2 rows starting from row index i1. The Result is a new
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Returns upper triangular Matrix by setting all values beneath the diagonal to Zero.
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Creates a dense identiy m*m matrix. A identity matrix is always squared and the elements are set to zero exept elements
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returns a dense matrix with m rows and n rows, applying the init function with the two indices as arguments
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Full Usage:
initDense i j a
Parameters:
int
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j : int
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a : seq<int * int * float>
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Returns: matrix
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Creates a dense matrix with i rows and j columns. All values are initialized to the value of a.
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Full Usage:
initSparse i j a
Parameters:
int
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j : int
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a : seq<int * int * float>
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Returns: matrix
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Creates a sparse matrix with i rows and j columns. All values are initialized to the value of a.
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Builds a new matrix whose elements are the result of row wise applying the given function on each element of a.
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Applies function f along column axis
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Applies function f along row axis
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Builds a new matrix whose elements are the result of row wise applying the given function on each element of a. The integer index
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Maps every matrix column using the position dependant function
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Maps every matrix row using the position dependant function
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Full Usage:
meanAsSeq orientation a
Parameters:
Orientation
a : matrix
Returns: seq<float>
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Computes mean in the specified orientation
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Computes the Column wise mean of a Matrix
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Computes the row wise mean of a Matrix
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Performs a left sided matrix multiplication of a and b (a*b).
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Performs a matrix multiplication of the 1*n rowvector a and the m*n matrix b (a*b).
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Performs a matrix multiplication m*n matrix a and the m*1 vector b (a*b).
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Scales matrix a by element wise mulitplication with minus 1.
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Iterates the m*n matrix a row wise and returns a list of tuples (mi,ni,v) containing non zero elements of a
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returns a dense matrix with the inner vectors of the input rowvector as its columns
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returns a dense matrix with the inner arrays of the input jagged array as its rows
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returns a dense matrix with the inner arrays of the input jagged array as its columns
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returns a dense matrix with the inner lists of the input jagged list as its columns
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returns a dense matrix with the inner sequences of the input jagged sequence as its columns
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returns a dense matrix with the inner lists of the input jagged list as its rows
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returns a dense matrix with the inner sequences of the input jagged sequences as its rows
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returns a dense matrix with the inner rowvectors of the input vector as its rows
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Creates a dense matrix with i rows and j columns. All values are initialized to one (1.).
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Full Usage:
readCSV path separator removeHeaderRow removeHeaderCol
Parameters:
string
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separator : char
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removeHeaderRow : bool
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removeHeaderCol : bool
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Returns: Matrix<float>
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reads matrix from delimiter separated file
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Removes a column at a given index
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Removes a row at a given index
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computes the row specific population covariance matrix of a data matrix
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computes the row specific sample covariance matrix of a data matrix
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Builds a new matrix where the elements are the result of multiplying every element of the given matrix with the given value
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Replaces column of index j of matrix a with values of vector v, if vector length matches columnsize
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Replaces row of index i of matrix a with values of vector v, if vector length matches rowsize
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Creates a sparse matrix based on the CSR format
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Splits a matrix along column direction according to given indices. Returns (matrix including cols according to indices, rest)
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Splits a matrix along row direction according to given indices. Returns (matrix including rows according to indices, rest)
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Performs a element wise substraction of matrices a and b (a-b).
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Computes the column wise sums of a Matrix
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Computes the row wise sums of a Matrix
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Transforms the matrix a to a dense matrix representation
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Returns diagonal matrix by setting all values beneath and above the diagonal to Zero.
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converts the matrix into an array of column arrays
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converts the matrix into an seq of column seqs
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converts the matrix into an seq of row seqs
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Transforms the matrix a to a sparse matrix representation
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Computes the trace of matrix a by summing elements of the diagonal.
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Returns the transpose of matrix a
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Full Usage:
x
Returns: ('a -> 'b -> 'a) -> 'a -> 'b list -> 'a
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Creates a dense matrix with i rows and j columns. All values are initialized to yero (0.).
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