قارن الطرق

	متوسط مربعات الخطأ (MSE)	خطأ متوسط المربعات (RMSE)
المجال	تقييم النماذج	تقييم النماذج
العائلة	MCDM	MCDM
سنة النشأة	1809	1809
صاحب الطريقة	Carl Friedrich Gauss	Carl Friedrich Gauss
النوع	Squared-error loss function	Distance-based evaluation metric
المصدر التأسيسي	Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser.	Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser.
الأسماء البديلة	MSE, L2 error, quadratic error	RMSE, RMS error, quadratic mean error
ذات صلة	4	4
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.	Root Mean Squared Error is a widely used metric that measures the average magnitude of prediction errors in regression models. Originating from Carl Friedrich Gauss's work on least-squares estimation (1809), RMSE quantifies how far predictions deviate from observed values by averaging the squared differences and taking the square root.