Do elastic net cross-validation for alpha and lambda simultaneously
cva.glmnet(x, ...)# S3 method for default
cva.glmnet(x, y, alpha = seq(0, 1, len = 11)^3,
nfolds = 10, ..., outerParallel = NULL, checkInnerParallel = TRUE)
# S3 method for formula
cva.glmnet(formula, data, ..., weights = NULL,
offset = NULL, subset = NULL, na.action = getOption("na.action"),
drop.unused.levels = FALSE, xlev = NULL, sparse = FALSE,
use.model.frame = FALSE)
# S3 method for cva.glmnet
predict(object, newx, alpha, which = match(TRUE,
abs(object$alpha - alpha) < 1e-08), ...)
# S3 method for cva.glmnet.formula
predict(object, newdata, alpha,
which = match(TRUE, abs(object$alpha - alpha) < 1e-08),
na.action = na.pass, ...)
# S3 method for cva.glmnet
coef(object, alpha, which = match(TRUE, abs(object$alpha
- alpha) < 1e-08), ...)
# S3 method for cva.glmnet.formula
print(x, ...)
# S3 method for cva.glmnet
plot(x, ...)
minlossplot(x, ...)
# S3 method for cva.glmnet
minlossplot(x, ..., cv.type = c("1se", "min"))
A matrix of predictor variables; or for the plotting methods, an object returned by cva.glmnet.
Further arguments to be passed to lower-level functions. In the case of cva.glmnet, these arguments are passed to cv.glmnet; for predict and coef, they are passed to predict.cv.glmnet; and for plot and minlossplot, to plot.
A response vector or matrix (for a multinomial response).
A vector of alpha values for which to do cross-validation. The default is a sequence of 11 values more closely spaced around alpha = 0. For the predict and coef methods, the specific value of alpha for which to return predictions/regression coefficients.
The number of cross-validation folds to use. Defaults to 10.
Method of parallelising the outer loop over alpha. See 'Details' below. If NULL, the loop is run sequentially.
If the outer loop is run in parallel, check that the inner loop over lambda will not be in contention for cores.
A model formula; interaction terms are allowed and will be expanded per the usual rules for linear models.
A data frame or matrix containing the variables in the formula.
An optional vector of case weights to be used in the fitting process. If missing, defaults to an unweighted fit.
An optional vector of offsets, an a priori known component to be included in the linear predictor.
An optional vector specifying the subset of observations to be used to fit the model.
A function which indicates what should happen when the data contains missing values. For the predict method, na.action = na.pass will predict missing values with NA; na.omit or na.exclude will drop them.
Should factors have unused levels dropped? Defaults to FALSE.
A named list of character vectors giving the full set of levels to be assumed for each factor.
Should the model matrix be in sparse format? This can save memory when dealing with many factor variables, each with many levels (but see the warning below).
Should the base model.frame function be used when constructing the model matrix? This is the standard method that most R modelling functions use, but has some disadvantages. The default is to avoid model.frame and construct the model matrix term-by-term; see discussion.
For the predict and coef methods, an object returned by cva.glmnet.
For the predict method, a matrix of predictor variables.
An alternative way of specifying alpha; the index number of the desired value within the alpha vector. If both which and alpha are supplied, the former takes precedence.
For the predict and coef methods, a data frame containing the observations for which to calculate predictions.
For minlossplot, which cross-validated loss value to plot for each value of alpha. This can be either "min" which is the minimum loss, or "1se" which is the highest loss within 1 standard error of the minimum. The default is "1se".
For cva.glmnet.default, an object of class cva.glmnet. This is a list containing the following:
alpha The vector of alpha values
nfolds The number of folds
modlist A list of cv.glmnet objects, containing the cross-validation results for each value of alpha
The function cva.glmnet.formula adds a few more components to the above, to facilitate working with formulas.
For the predict method, a vector or matrix of predicted values.
For the coef method, a vector of regularised regression coefficients.
The cva.glmnet function does simultaneous cross-validation for both the alpha and lambda parameters in an elastic net model. It follows the procedure outlined in the documentation for glmnet::cv.glmnet: it creates a vector foldid allocating the observations into folds, and then calls cv.glmnet in a loop over different values of alpha, but the same values of foldid each time.
Optionally this loop over alpha can be parallelised; currently, cva.glmnet knows about two methods of doing so:
Via parLapply in the parallel package. To use this, set outerParallel to a valid cluster object created by makeCluster.
Via rxExec as supplied by Microsoft R Server's RevoScaleR package. To use this, set outerParallel to a valid compute context created by RxComputeContext, or a character string specifying such a context.
If the outer loop is run in parallel, cva.glmnet can check if the inner loop (over lambda) is also set to run in parallel, and disable this if it would lead to contention for cores. This is done if it is likely that the parallelisation is local on a multicore machine, ie if outerParallel is a SOCKcluster object running on "localhost", or if the supplied compute context is local parallel.
The formula method works in a similar manner to lm, glm and other modelling functions. The arguments are used to generate a model frame, which is a data frame augmented with information about the roles the columns play in fitting the model. This is then turned into a model matrix and a response vector, which are passed to glmnet::glmnet along with any arguments in .... If sparse is TRUE, then Matrix::sparse.model.matrix is used instead of stats::model.matrix to create the model matrix.
The predict method computes predictions for a specific alpha value given a cva.glmnet object. It looks up the supplied alpha (possibly supplied indirectly via the which argument) in the object's stored alpha vector, and calls glmnet:::predict.cv.glmnet on the corresponding cv.glmnet fit. All the arguments to that function are (or should be) supported.
The coef method is similar, returning the coefficients for the selected alpha value via glmnet:::coef.cv.glmnet.
The plot method for cva.glmnet objects plots the average cross-validated loss by lambda, for each value of alpha. Each line represents one cv.glmnet fit, corresponding to one value of alpha. Note that the specific lambda values can vary substantially by alpha.
The minlossplot function gives the best (lowest) cross-validated loss for each value of alpha.
# NOT RUN {
cva <- cva.glmnet(mpg ~ ., data=mtcars)
predict(cva, mtcars, alpha=1)
# }
# NOT RUN {
# Leukemia example dataset from Trevor Hastie's website
download.file("http://web.stanford.edu/~hastie/glmnet/glmnetData/Leukemia.RData",
"Leukemia.RData")
load("Leukemia.Rdata")
leuk <- do.call(data.frame, Leukemia)
leuk.cva <- cva.glmnet(y ~ ., leuk, family="binomial")
leuk.pred <- predict(leuk.cva, leuk, which=6)
# }
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