statistics.h File Reference

#include "pch.h"

Go to the source code of this file.

Classes
struct	opennn::Descriptives
	Summary statistics (minimum, maximum, mean, standard deviation) for one variable. More...
struct	opennn::BoxPlot
	Five-number summary (minimum, Q1, median, Q3, maximum) used to draw a box plot. More...
struct	opennn::Histogram
	Frequency histogram with per-bin minimums, maximums, centers, and counts. More...

Namespaces
namespace	opennn

Functions
float	opennn::minimum (const MatrixR &)
	Returns the smallest finite element of a matrix.
float	opennn::minimum (const VectorR &)
	Returns the smallest finite element of a vector.
float	opennn::minimum (const VectorR &, const vector< Index > &)
	Returns the smallest finite element of the selected rows of a vector.
VectorR	opennn::column_minimums (const Tensor2 &, const vector< Index > &={}, const vector< Index > &={})
	Per-column minimums of a 2D tensor.
float	opennn::maximum (const MatrixR &)
	Returns the largest finite element of a matrix.
float	opennn::maximum (const VectorR &)
	Returns the largest finite element of a vector.
float	opennn::maximum (const VectorR &, const vector< Index > &)
	Returns the largest finite element of the selected rows of a vector.
VectorR	opennn::column_maximums (const Tensor2 &, const vector< Index > &={}, const vector< Index > &={})
	Per-column maximums of a 2D tensor, optionally restricted to a row/column subset.
float	opennn::range (const VectorR &)
	Returns the maximum minus the minimum of a vector.
float	opennn::mean (const VectorR &)
	Arithmetic mean of a vector, ignoring NaNs.
float	opennn::mean (const MatrixR &, Index)
	Arithmetic mean of a matrix column, ignoring NaNs.
VectorR	opennn::mean (const MatrixR &)
	Column-wise arithmetic means of a matrix.
VectorR	opennn::mean (const MatrixR &, const vector< Index > &, const vector< Index > &)
	Column-wise means of a matrix restricted to the given rows and columns.
float	opennn::median (const VectorR &)
	Median of a vector.
float	opennn::median (const MatrixR &, Index)
	Median of a single matrix column.
VectorR	opennn::median (const MatrixR &)
	Column-wise medians of a matrix.
VectorR	opennn::median (const MatrixR &, const vector< Index > &)
	Column-wise medians of the selected columns.
VectorR	opennn::median (const MatrixR &, const vector< Index > &, const vector< Index > &)
	Column-wise medians restricted to the given rows and columns.
float	opennn::variance (const VectorR &)
	Sample variance of a vector.
float	opennn::variance (const VectorR &, const VectorI &)
	Sample variance of the selected entries of a vector.
float	opennn::standard_deviation (const VectorR &)
	Sample standard deviation of a vector.
VectorR	opennn::standard_deviation (const VectorR &, Index)
	Rolling standard deviation of a vector over a window of the given size.
VectorR	opennn::quartiles (const VectorR &)
	Returns [Q1, Q2, Q3] of a vector.
VectorR	opennn::quartiles (const VectorR &, const vector< Index > &)
	Returns [Q1, Q2, Q3] of the selected entries of a vector.
BoxPlot	opennn::box_plot (const VectorR &)
	Five-number summary (box plot) of a vector.
BoxPlot	opennn::box_plot (const VectorR &, const vector< Index > &)
	Five-number summary (box plot) of the selected entries of a vector.
Descriptives	opennn::vector_descriptives (const VectorR &)
	Returns the (min, max, mean, std) descriptives of a vector.
vector< Descriptives >	opennn::descriptives (const MatrixR &)
	Returns the per-column descriptives of a matrix.
vector< Descriptives >	opennn::descriptives (const MatrixR &, const vector< Index > &, const vector< Index > &)
	Returns per-column descriptives restricted to the given rows and columns.
Histogram	opennn::histogram (const VectorR &, Index=10)
	Builds an equal-width histogram of a vector.
Histogram	opennn::histogram_centered (const VectorR &, float=0.0f, Index=10)
	Builds a histogram with one bin centered on the given value.
Histogram	opennn::histogram (const VectorB &)
	Builds a two-bin histogram counting false/true entries.
Histogram	opennn::histogram (const VectorI &, Index=10)
	Builds an equal-width histogram of an integer vector.
vector< Histogram >	opennn::histograms (const MatrixR &, Index=10)
	Builds one histogram per matrix column.
VectorI	opennn::total_frequencies (const vector< Histogram > &)
	Sums the per-bin frequencies across a collection of histograms.
Index	opennn::minimal_index (const VectorR &)
	Index of the smallest element in a vector.
VectorI	opennn::minimal_indices (const VectorR &, Index)
	Indices of the n smallest elements of a vector.
VectorI	opennn::minimal_indices (const MatrixR &)
	Row/column coordinates of the smallest element of a matrix.
Index	opennn::maximal_index (const VectorR &)
	Index of the largest element in a vector.
VectorI	opennn::maximal_indices (const VectorR &, Index)
	Indices of the n largest elements of a vector.
VectorI	opennn::maximal_indices (const MatrixR &)
	Row/column coordinates of the largest element of a matrix.
bool	opennn::row_finite (const VectorR &values, Index i)
	Returns true if the i-th entry of the vector is finite.
bool	opennn::row_finite (const MatrixR &matrix, Index i)
	Returns true if every entry in row i of the matrix is finite.
VectorR	opennn::slice_rows (const VectorR &values, const vector< Index > &indices)
	Returns a copy of the vector containing only the entries at the given indices.
MatrixR	opennn::slice_rows (const MatrixR &matrix, const vector< Index > &indices)
	Returns a copy of the matrix containing only the rows at the given indices.
VectorR	opennn::filter_missing_values (const VectorR &)
	Returns a copy of the vector with NaN entries removed.
template<typename X, typename Y>
pair< X, Y >	opennn::filter_missing_values (const X &x, const Y &y)
	Returns x and y restricted to rows where both are finite (row counts must match).
bool	opennn::is_contiguous (const vector< Index > &indices)
	Returns true if the sorted indices form a contiguous run (each entry equals the previous plus one).
template<typename T>
bool	opennn::is_binary (const T &tensor)
	Returns true if every non-NaN entry of the tensor is exactly 0.0 or 1.0.
MatrixR	opennn::append_rows (const MatrixR &, const MatrixR &)
	Returns the row-wise concatenation of two matrices with matching column counts.
template<typename T>
vector< T >	opennn::gather_by_index (const vector< T > &data, const vector< Index > &indices)
	Returns the elements of data at the given indices.
vector< Index >	opennn::build_feasible_rows_mask (const MatrixR &outputs, const VectorR &minimums, const VectorR &maximums)
	Returns the indices of the rows of outputs that lie within the per-column bounds.
template<typename T>
bool	opennn::is_constant (const T &tensor)
	Returns true if every non-NaN entry of the tensor equals the first finite entry.
vector< Index >	opennn::get_true_indices (const VectorB &flags)
	Returns the positions of the true entries in a boolean vector.
VectorI	opennn::calculate_rank (const VectorR &, bool ascending=true)
	Returns the rank of each element (1-based), ascending by default.
vector< Index >	opennn::get_elements_greater_than (const vector< Index > &, Index)
	Returns the entries of indices that are strictly greater than the given threshold.
VectorI	opennn::get_nearest_points (const MatrixR &, const VectorR &, int=1)
	Finds the n rows of the matrix closest to the given point by Euclidean distance.
void	opennn::fill_tensor_data (const MatrixR &, const vector< Index > &, const vector< Index > &, float *, bool=true, int contiguous=-1)
	Copies the selected sub-matrix into a flat float buffer.
VectorR	opennn::perform_Householder_QR_decomposition (const MatrixR &, const VectorR &)
	Solves a linear least-squares problem via Householder QR decomposition.
VectorMap	opennn::vector_map (const MatrixR &, Index)
	Returns an Eigen VectorMap that views a single column of a matrix without copying.