weighted.deviance.tweedie.numeric.md

weighted.deviance.tweedie.numeric

R Documentation

Tweedie Deviance

Description

A generic S3 function to compute the tweedie deviance score for a regression model. This function dispatches to S3 methods indeviance.tweedie() and performs no input validation. If you supply NA values or vectors of unequal length (e.g. length(x) != length(y)), the underlying C++ code may trigger undefined behavior and crash your R session.

Defensive measures

Because deviance.tweedie() operates on raw pointers, pointer-level faults (e.g. from NA or mismatched length) occur before any R-level error handling. Wrapping calls in try() or tryCatch() will not prevent R-session crashes.

To guard against this, wrap deviance.tweedie() in a "safe" validator that checks for NA values and matching length, for example:

safe_deviance.tweedie <- function(x, y, ...) {
  stopifnot(
    !anyNA(x), !anyNA(y),
    length(x) == length(y)
  )
  deviance.tweedie(x, y, ...)
}

Apply the same pattern to any custom metric functions to ensure input sanity before calling the underlying C++ code.

Usage

## S3 method for class 'numeric'
weighted.deviance.tweedie(actual, predicted, w, power = 2, ...)

Arguments

actual, predicted

A pair of <double> vectors of length n.

w

A <double> vector of sample weights.

power

A <double> value, default = 2. Tweedie power parameter. Either power <= 0 or power >= 1.

The higher power, the less weight is given to extreme deviations between actual and predicted values.

  • power < 0: Extreme stable distribution. Requires: predicted > 0.

  • power = 0: Normal distribution, output corresponds to mse(), actual and predicted can be any real numbers.

  • power = 1: Poisson distribution (deviance.poisson()). Requires: actual >= 0 and predicted > 0.

  • 1 < power < 2: Compound Poisson distribution. Requires: actual >= 0 and predicted > 0.

  • power = 2: Gamma distribution (deviance.gamma()). Requires: actual > 0 and predicted > 0.

  • power = 3: Inverse Gaussian distribution. Requires: actual > 0 and predicted > 0.

  • otherwise: Positive stable distribution. Requires: actual > 0 and predicted > 0.

...

Arguments passed into other methods

Value

A <double> value

References

James, Gareth, et al. An introduction to statistical learning. Vol. 112. No. 1. New York: springer, 2013.

Hastie, Trevor. "The elements of statistical learning: data mining, inference, and prediction." (2009).

Virtanen, Pauli, et al. "SciPy 1.0: fundamental algorithms for scientific computing in Python." Nature methods 17.3 (2020): 261-272.

Pedregosa, Fabian, et al. "Scikit-learn: Machine learning in Python." the Journal of machine Learning research 12 (2011): 2825-2830.

Examples

## Generate actual
## and predicted values
actual_values    <- c(1.3, 0.4, 1.2, 1.4, 1.9, 1.0, 1.2)
predicted_values <- c(0.7, 0.5, 1.1, 1.2, 1.8, 1.1, 0.2)

## Generate sample
## weights
sample_weights <- c(0.3, 0.5, 0.3, 0, 0.8, 0.8, 1)

## Evaluate performance
SLmetrics::weighted.deviance.tweedie(
   actual    = actual_values, 
   predicted = predicted_values,
   w         = sample_weights
)

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