spd_lesh {gdverse}R Documentation

shap power of determinants

Description

Function for calculate shap power of determinants SPD.

Usage

spd_lesh(formula, data, cores = 1, ...)

Arguments

formula

A formula of calculate shap power of determinants.

data

A data.frame or tibble of observation data.

cores

(optional) Positive integer (default is 1). When cores are greater than 1, use multi-core parallel computing.

...

(optional) Other arguments passed to rpart_disc().

Details

The power of shap power of determinants formula is

\theta_{x_j} \left( S \right) = \sum\limits_{s \in M \setminus \{x_j\}} \frac{|S|! \left(|M| - |S| - 1\right)!}{|M|!}\left(v \left(S \cup \left\{x_j\right\} \right) - v\left(S\right)\right).

shap power of determinants (SPD) is the contribution of variable x_j to the power of determinants.

Value

A tibble with variable and its corresponding SPD value.

Note

The shap power of determinants (SPD) requires at least 2^n-1 calculations when has n explanatory variables. When there are more than 10 explanatory variables, carefully consider the computational burden of this model. When there are a large number of explanatory variables, the data dimensionality reduction method can be used to ensure the trade-off between analysis results and calculation speed.

Author(s)

Wenbo Lv lyu.geosocial@gmail.com

References

Li, Y., Luo, P., Song, Y., Zhang, L., Qu, Y., & Hou, Z. (2023). A locally explained heterogeneity model for examining wetland disparity. International Journal of Digital Earth, 16(2), 4533–4552. https://doi.org/10.1080/17538947.2023.2271883

Examples

data('ndvi')
g = spd_lesh(NDVIchange ~ ., data = ndvi)
g


[Package gdverse version 1.3-3 Index]