قارن الطرق

	متوسط مربعات الخطأ (MSE)	متوسط الخطأ المطلق (MAE)
المجال	تقييم النماذج	تقييم النماذج
العائلة	MCDM	MCDM
سنة النشأة	1809	1799
صاحب الطريقة	Carl Friedrich Gauss	Pierre-Simon Laplace
النوع	Squared-error loss function	Robust distance-based metric
المصدر التأسيسي	Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser.	Laplace, P. S. (1799). Traité de Mécanique Céleste. Paris: J.B.M. Duprat.
الأسماء البديلة	MSE, L2 error, quadratic error	MAE, L1 error, mean absolute deviation
ذات صلة	4	3
الملخص	Mean Squared Error is the foundational loss function for regression models, measuring the average squared deviation between predictions and observations. Originating from Gauss and Legendre's method of least squares (1805-1809), MSE is the basis for ordinary least squares regression and remains central to modern machine learning optimization.	Mean Absolute Error is a robust metric that measures the average absolute magnitude of prediction errors in regression models. Dating back to Pierre-Simon Laplace's work on observational errors (1799), MAE quantifies typical prediction deviation by averaging the absolute differences between observed and predicted values.