Enhancing Predictive Accuracy in Pharmaceutical Sales Through An Ensemble Kernel Gaussian Process Regression Approach

Fuente: arXiv
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Hauptverfasser: Mirshekari, Shahin, Moradi, Mohammadreza, Jafari, Hossein, Jafari, Mehdi, Ensaf, Mohammad
Format: Preprint
Veröffentlicht: 2024
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author Mirshekari, Shahin
Moradi, Mohammadreza
Jafari, Hossein
Jafari, Mehdi
Ensaf, Mohammad
author_facet Mirshekari, Shahin
Moradi, Mohammadreza
Jafari, Hossein
Jafari, Mehdi
Ensaf, Mohammad
contents This research employs Gaussian Process Regression (GPR) with an ensemble kernel, integrating Exponential Squared, Revised Matérn, and Rational Quadratic kernels to analyze pharmaceutical sales data. Bayesian optimization was used to identify optimal kernel weights: 0.76 for Exponential Squared, 0.21 for Revised Matérn, and 0.13 for Rational Quadratic. The ensemble kernel demonstrated superior performance in predictive accuracy, achieving an \( R^2 \) score near 1.0, and significantly lower values in Mean Squared Error (MSE), Mean Absolute Error (MAE), and Root Mean Squared Error (RMSE). These findings highlight the efficacy of ensemble kernels in GPR for predictive analytics in complex pharmaceutical sales datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2404_19669
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enhancing Predictive Accuracy in Pharmaceutical Sales Through An Ensemble Kernel Gaussian Process Regression Approach
Mirshekari, Shahin
Moradi, Mohammadreza
Jafari, Hossein
Jafari, Mehdi
Ensaf, Mohammad
Machine Learning
This research employs Gaussian Process Regression (GPR) with an ensemble kernel, integrating Exponential Squared, Revised Matérn, and Rational Quadratic kernels to analyze pharmaceutical sales data. Bayesian optimization was used to identify optimal kernel weights: 0.76 for Exponential Squared, 0.21 for Revised Matérn, and 0.13 for Rational Quadratic. The ensemble kernel demonstrated superior performance in predictive accuracy, achieving an \( R^2 \) score near 1.0, and significantly lower values in Mean Squared Error (MSE), Mean Absolute Error (MAE), and Root Mean Squared Error (RMSE). These findings highlight the efficacy of ensemble kernels in GPR for predictive analytics in complex pharmaceutical sales datasets.
title Enhancing Predictive Accuracy in Pharmaceutical Sales Through An Ensemble Kernel Gaussian Process Regression Approach
topic Machine Learning
url https://arxiv.org/abs/2404.19669