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Scrunched Modern Planeswalkers with Four Abilities:. Modern Artbackground Planeswalkers:. Squared error loss is one of the most widely used loss functions in statistics [ citation needed ] , though its widespread use stems more from mathematical convenience than considerations of actual loss in applications.
Carl Friedrich Gauss , who introduced the use of mean squared error, was aware of its arbitrariness and was in agreement with objections to it on these grounds.
The use of mean squared error without question has been criticized by the decision theorist James Berger. Mean squared error is the negative of the expected value of one specific utility function , the quadratic utility function, which may not be the appropriate utility function to use under a given set of circumstances.
There are, however, some scenarios where mean squared error can serve as a good approximation to a loss function occurring naturally in an application.
Like variance , mean squared error has the disadvantage of heavily weighting outliers. This property, undesirable in many applications, has led researchers to use alternatives such as the mean absolute error , or those based on the median.
From Wikipedia, the free encyclopedia. It is not to be confused with Mean squared displacement. It has been suggested that Squared deviations be merged into this article.
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