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

## 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`

. The vector gets automatically normalized to sum to one. Defaults to equal sample weights.- alpha
`numeric(1)`

The quantile to compute the pinball loss.- ...
(

`any`

)

Additional arguments. Currently ignored.

## Details

The pinball loss for quantile regression is defined as $$ \text{Average Pinball Loss} = \frac{1}{n} \sum_{i=1}^{n} w_{i} \begin{cases} q \cdot (t_i - r_i) & \text{if } t_i \geq r_i \\ (1 - q) \cdot (r_i - t_i) & \text{if } t_i < r_i \end{cases} $$ where \(q\) is the quantile and \(w_i\) are normalized sample weights.

## Meta Information

Type:

`"regr"`

Range: \((-\infty, \infty)\)

Minimize:

`TRUE`

Required prediction:

`response`