Skip to contents

Sum of Absolute Errors

Source: R/regr_sae.R
sae.Rd

Measure to compare true observed response with predicted response in regression tasks.

Usage

sae(truth, response, sample_weights = NULL, ...)

Arguments

truth

(numeric())
True (observed) values. Must have the same length as response.

response

(numeric())
Predicted response values. Must have the same length as truth.

sample_weights

(numeric())
Vector of non-negative and finite sample weights. Must have the same length as truth. Weights for this function are not normalized. Defaults to sample weights 1.

...

(any)
Additional arguments. Currently ignored.

Value

Performance value as numeric(1).

Details

The Sum of Absolute Errors is defined as $$ \sum_{i=1}^n w_i \left| t_i - r_i \right|. $$ where \(w_i\) are unnormalized weights for each observation \(x_i\), defaulting to 1.

Meta Information

  • Type: "regr"

  • Range: \([0, \infty)\)

  • Minimize: TRUE

  • Required prediction: response

See also

Other Regression Measures: ae(), ape(), bias(), ktau(), linex(), mae(), mape(), maxae(), maxse(), medae(), medse(), mse(), msle(), pbias(), pinball(), rae(), rmse(), rmsle(), rrse(), rse(), rsq(), se(), sle(), smape(), srho(), sse()

Examples

set.seed(1)
truth = 1:10
response = truth + rnorm(10)
sae(truth, response)
#> [1] 6.497906