correlations.h

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//   OpenNN: Open Neural Networks Library
//   www.opennn.net
//
//   C O R R E L A T I O N S   H E A D E R
//
//   Artificial Intelligence Techniques SL
//   artelnics@artelnics.com
 
#include "pch.h"
 
#pragma once
 
namespace opennn
{

struct Correlation
{
    enum class Method{Pearson, Spearman};

    enum class Form{Identity, Sigmoid, Logarithmic, Exponential, Power};
 
    Correlation() {}

    void set_perfect();

    void print() const;
 
    float a = NAN;
    float b = NAN;
    float r = NAN;
 
    float lower_confidence = NAN;
    float upper_confidence = NAN;
 
    Method method = Method::Pearson;
    Form form = Form::Identity;
};

[[nodiscard]] Correlation linear_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation logarithmic_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation exponential_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation power_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation logistic_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation logistic_correlation(const VectorR&, const MatrixR&);

[[nodiscard]] Correlation logistic_correlation(const MatrixR&, const VectorR&);

[[nodiscard]] Correlation logistic_correlation(const MatrixR&, const MatrixR&);

[[nodiscard]] Correlation point_biserial_correlation(const VectorR&, const VectorR&);

[[nodiscard]] Correlation eta_squared_correlation(const VectorR&, const MatrixR&);

[[nodiscard]] Correlation correlation(const MatrixR&, const MatrixR&);

[[nodiscard]] Correlation linear_correlation_spearman(const VectorR&, const VectorR&);

[[nodiscard]] VectorR calculate_spearman_ranks(const VectorR&);

[[nodiscard]] Correlation logistic_correlation_spearman(const VectorR&, const VectorR&);

[[nodiscard]] Correlation correlation_spearman(const MatrixR&, const MatrixR&);

[[nodiscard]] float r_correlation_to_z_correlation(const float);

[[nodiscard]] float z_correlation_to_r_correlation(const float);

[[nodiscard]] pair<float, float> confidence_interval_z_correlation(const float, Index);

[[nodiscard]] VectorR autocorrelations(const VectorR&, Index  = 10);

[[nodiscard]] VectorR cross_correlations(const VectorR&, const VectorR&, Index);

[[nodiscard]] MatrixR get_correlation_values(const Tensor<Correlation, 2>&);
 
}
 
// OpenNN: Open Neural Networks Library.
// Copyright(C) 2005-2026 Artificial Intelligence Techniques, SL.
// Licensed under the GNU Lesser General Public License v2.1 or later.