Methoden vergleichen

	Mittlere quadratische Abweichung (MSE)	Mittlerer Absoluter Fehler (MAE)
Fachgebiet	Modellevaluation	Modellevaluation
Familie	MCDM	MCDM
Entstehungsjahr	1809	1799
Urheber	Carl Friedrich Gauss	Pierre-Simon Laplace
Typ	Squared-error loss function	Robust distance-based metric
Wegweisende Quelle	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.
Aliasnamen	MSE, L2 error, quadratic error	MAE, L1 error, mean absolute deviation
Verwandt	4	3
Zusammenfassung	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.