recipes (version 0.1.0)

step_isomap: Isomap Embedding

Description

step_isomap creates a specification of a recipe step that will convert numeric data into one or more new dimensions.

Usage

step_isomap(recipe, ..., role = "predictor", trained = FALSE, num = 5,
  options = list(knn = 50, .mute = c("message", "output")), res = NULL,
  prefix = "Isomap")

Arguments

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 to compute the dimensions. See selections for more details.

role

For model terms created by this step, what analysis role should they be assigned?. By default, the function assumes that the new dimension columns created by the original variables will be used as predictors in a model.

trained

A logical to indicate if the quantities for preprocessing have been estimated.

num

The number of isomap dimensions to retain as new predictors. If num is greater than the number of columns or the number of possible dimensions, a smaller value will be used.

options

A list of options to Isomap.

res

The Isomap object is stored here once this preprocessing step has be trained by prep.recipe.

prefix

A character string that will be the prefix to the resulting new variables. See notes below

Value

An updated version of recipe with the new step added to the sequence of existing steps (if any).

Details

Isomap is a form of multidimensional scaling (MDS). MDS methods try to find a reduced set of dimensions such that the geometric distances between the original data points are preserved. This version of MDS uses nearest neighbors in the data as a method for increasing the fidelity of the new dimensions to the original data values.

It is advisable to center and scale the variables prior to running Isomap (step_center and step_scale can be used for this purpose).

The argument num controls the number of components that will be retained (the original variables that are used to derive the components are removed from the data). The new components will have names that begin with prefix and a sequence of numbers. The variable names are padded with zeros. For example, if num < 10, their names will be Isomap1 - Isomap9. If num = 101, the names would be Isomap001 - Isomap101.

References

De Silva, V., and Tenenbaum, J. B. (2003). Global versus local methods in nonlinear dimensionality reduction. Advances in Neural Information Processing Systems. 721-728.

dimRed, a framework for dimensionality reduction, https://github.com/gdkrmr

See Also

step_pca step_kpca step_ica recipe prep.recipe bake.recipe

Examples

# NOT RUN {
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)

im_trans <- rec %>%
  step_YeoJohnson(all_predictors()) %>%
  step_center(all_predictors()) %>%
  step_scale(all_predictors()) %>%
  step_isomap(all_predictors(),
              options = list(knn = 100),
              num = 2)

im_estimates <- prep(im_trans, training = biomass_tr)

im_te <- bake(im_estimates, biomass_te)

rng <- extendrange(c(im_te$Isomap1, im_te$Isomap2))
plot(im_te$Isomap1, im_te$Isomap2,
     xlim = rng, ylim = rng)
# }