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میانگین مربعات خطا (MSE)×ضریب تعیین (R²)×
حوزهارزیابی مدلارزیابی مدل
خانوادهMCDMMCDM
سال پیدایش18091896
پدیدآورCarl Friedrich GaussKarl Pearson
نوعSquared-error loss functionGoodness-of-fit metric
منبع بنیادینGauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser. link ↗Pearson, K. (1896). Mathematical contributions to the theory of evolution. Philosophical Transactions of the Royal Society A, 187, 253-318. link ↗
نام‌های دیگرMSE, L2 error, quadratic errorR², coefficient of determination, r2 score
مرتبط45
خلاصهMean 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.The coefficient of determination, denoted R², measures the proportion of variance in the dependent variable explained by the independent variables in a regression model. Introduced by Karl Pearson in the late 19th century, R² is one of the most widely used metrics for assessing how well a model fits observed data.
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ScholarGateمقایسهٔ روش‌ها: Mean Squared Error · R-squared. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare