MCDMError metric

Root Mean Squared Error (RMSE)

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.

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Sources

  1. Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser. link
  2. Legendre, A. M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Paris: F. Didot. link
  3. Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd ed.). New York: Springer. DOI: 10.1007/978-0-387-84858-7

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Referenced by

ScholarGateRoot Mean Squared Error (Root Mean Squared Error). Retrieved 2026-06-04 from https://scholargate.app/en/model-evaluation/root-mean-squared-error