Spatial Sign Preprocessing
step_spatialsign
is a specification of a recipe
step that will convert numeric data into a projection on to a
unit sphere.
step_spatialsign( recipe, ..., role = "predictor", na_rm = TRUE, trained = FALSE, columns = NULL, skip = FALSE, id = rand_id("spatialsign") ) ## S3 method for class 'step_spatialsign' tidy(x, ...)
recipe |
A recipe object. The step will be added to the sequence of operations for this recipe. |
... |
One or more selector functions to choose which
variables will be used for the normalization. See
|
role |
For model terms created by this step, what analysis role should they be assigned? |
na_rm |
A logical: should missing data be removed from the norm computation? |
trained |
A logical to indicate if the quantities for preprocessing have been estimated. |
columns |
A character string of variable names that will
be populated (eventually) by the |
skip |
A logical. Should the step be skipped when the
recipe is baked by |
id |
A character string that is unique to this step to identify it. |
x |
A |
The spatial sign transformation projects the variables
onto a unit sphere and is related to global contrast
normalization. The spatial sign of a vector w
is
w/norm(w)
.
The variables should be centered and scaled prior to the computations.
An updated version of recipe
with the new step
added to the sequence of existing steps (if any). For the
tidy
method, a tibble with columns terms
which
is the columns that will be affected.
Serneels, S., De Nolf, E., and Van Espen, P. (2006). Spatial sign preprocessing: a simple way to impart moderate robustness to multivariate estimators. Journal of Chemical Information and Modeling, 46(3), 1402-1409.
library(modeldata) data(biomass) biomass_tr <- biomass[biomass$dataset == "Training",] biomass_te <- biomass[biomass$dataset == "Testing",] rec <- recipe(HHV ~ carbon + hydrogen + oxygen + nitrogen + sulfur, data = biomass_tr) ss_trans <- rec %>% step_center(carbon, hydrogen) %>% step_scale(carbon, hydrogen) %>% step_spatialsign(carbon, hydrogen) ss_obj <- prep(ss_trans, training = biomass_tr) transformed_te <- bake(ss_obj, biomass_te) plot(biomass_te$carbon, biomass_te$hydrogen) plot(transformed_te$carbon, transformed_te$hydrogen) tidy(ss_trans, number = 3) tidy(ss_obj, number = 3)
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