Partial dependence data from a varPro model

varPro::partialpro returns one list, with continuous and categorical predictors mixed together. This function splits that list into two tidy data frames, one for each kind, and resolves the y-axis label the plot method will use.

Deprecated. gg_partialpro() has been superseded by gg_partial_varpro() and is now a thin alias for it. It will be removed in the release after ggRandomForests v3.0.0; use gg_partial_varpro() directly.

Usage

gg_partial_varpro(
  part_dta = NULL,
  object = NULL,
  scale = c("auto", "prob", "odds", "logodds", "rmst", "surv", "mortality", "chf"),
  time = NULL,
  nvars = NULL,
  cat_limit = 10,
  model = NULL,
  ...
)

gg_partialpro(
  part_dta,
  object = NULL,
  scale = c("auto", "prob", "odds", "logodds", "rmst", "surv", "mortality", "chf"),
  time = NULL,
  nvars = NULL,
  cat_limit = 10,
  model = NULL,
  ...
)

Arguments

part_dta: Partial plot data from varPro::partialpro. Each element must contain xvirtual, xorg, yhat.par, yhat.nonpar, and yhat.causal. Supply at least one of part_dta or object.
object: A fitted varpro object, the forest the partial data came from. When supplied it provides the provenance metadata, and when part_dta is NULL it is passed to varPro::partialpro(object) for you. Required when scale %in% c("surv","chf").
scale: Character; the y-axis scale. One of "auto" (default), the classification scales "prob" / "odds" / "logodds", or the survival scales "rmst" / "surv" / "mortality" / "chf". With "auto": classification fits resolve to "prob" (probability of the target class) and survival fits to "surv" (survival probability at a default horizon $\tau$); see Details.
time: Numeric; the evaluation time point. Required when scale = "rmst" (the RMST horizon $\tau$), where it now drives the partial computation through an RMST($\tau$) learner (see Details), not just the axis label. Optional when scale %in% c("surv","chf"): if supplied it is snapped to the nearest value in object\$rf\$time.interest and used for both computation and axis labeling; if NULL, three quartile time points from time.interest are used (see gg_partial_rfsrc).
nvars: Integer; how many variables (list elements) to process. Defaults to every variable in part_dta.
cat_limit: Integer; a variable with length(xvirtual) <= cat_limit is treated as categorical. Default 10.
model: Character; a label tacked onto every row, handy when you are combining results from several models in one figure.
...: Forwarded to partialpro on the object-driven path (when part_dta is NULL). Use this to control which variables are computed – e.g. xvar.names or nvar – or to tune the isolation-forest UVT step (cut, nsmp). Without it, partialpro falls back to varPro::get.topvars(object), which can return few or no variables for some fits (yielding empty continuous/categorical frames). A name you pass in xvar.names that the fit cannot reach is dropped by partialpro without comment, so you can ask for twelve variables and get ten; we warn and name the missing ones. See Details. Ignored, with a warning, when part_dta is supplied. With scale = "chf" the work goes through gg_partial_rfsrc rather than partialpro, so xvar.names is honored but the partialpro-only arguments (cut, nsmp) do not apply and are ignored with a warning.

Value

A named list of class "gg_partial_varpro" with elements:

continuous: data.frame with columns variable, parametric, nonparametric, causal, name (and optionally model).
categorical: data.frame with the same columns, one row per observation per category level.

A "provenance" attribute carries source, family, ntree, n, scale, rmst_tau, xvar.names, and path.

A gg_partial_varpro object (see gg_partial_varpro).

Details

Which variables you actually get: varpro screens twice before anything reaches partial dependence. The split-weight screen decides which predictors are worth guiding the trees with, and what survives it lands in object$xvar.names; varPro::get.topvars then ranks a shorter list out of that. So the design matrix, the reachable set, and the default list are three different sizes – a fit on 45 predictors might carry 26 in object$xvar.names and 15 in get.topvars. partialpro can only reach the middle one. How much gets screened off depends on the data and the fit, so check rather than assume: length(object$xvar.names) against ncol(object$x) tells you where you stand.

This bites when you bring a variable list in from somewhere else, say the top names off an rfsrc VIMP ranking. partialpro intersects your xvar.names with what it can reach and keeps the overlap without remarking on it, so a request for twelve variables can come back with ten and nothing in the result says so. It is the intermittent kind of trap: a top-10 list may come back whole while a top-12 list quietly loses two. We compare the two sets before calling partialpro and warn, naming what was dropped. A quick setdiff(my_names, object$xvar.names) answers the same question before you spend the computation.

For a complete view, fit with both screens off: varPro::varpro(..., sparse = FALSE, split.weight = FALSE). split.weight = FALSE is the one that lifts the ceiling – it puts every predictor in object$xvar.names, so partial dependence can reach them all, and it leaves a strong variable's curve where it was. sparse = FALSE does the smaller thing, deepening varPro::get.topvars so the reported ranking shows its tail rather than the screened top. Both are varPro's own arguments, and its defaults (both TRUE) go the other way, toward the screened set; keep the defaults when that sparser set is what you want. nvar is not the knob here – it only caps how much gets reported.

Scale detection: with scale = "auto" and an object in hand, the scale resolves to "mortality" for a survival forest and "generic" for a regression or classification forest. The RMST horizon $\tau$ is not stored in the varpro object (varPro 3.1.0), so RMST output requires you to pass scale = "rmst", time = tau explicitly.

RMST partial dependence (scale = "rmst"): varPro::partialpro has no time argument, so its default survival learner returns ensemble mortality at every horizon – passing a horizon through ... is silently dropped, and multi-horizon plots built that way differ only by Monte-Carlo noise, not by $\tau$. To get a genuine RMST($\tau$) curve, scale = "rmst" supplies partialpro a learner that returns $\mathrm{RMST}(\tau)=\int_0^\tau S(t)\,dt$ from the survival forest, so the curve actually depends on $\tau$. This path recomputes from object, so it needs object (a survival fit) with part_dta = NULL; a precomputed part_dta can only be relabeled, and gg_partial_varpro warns when you try. A $\tau$ beyond the model's largest event time is truncated there (with a warning), since $S(t)$ cannot be extrapolated.

Classification scale (scale = "prob"/"odds"/"logodds"): varPro::partialpro returns classification effects as log-odds of the target class. scale = "prob" (the classification default) back-transforms to probability $P(Y = \mathrm{target})$, "odds" to the odds, and "logodds" keeps the raw scale. The back-transform is applied per observation before averaging, so the curve is the mean predicted probability, not the probability of the mean log-odds. The causal contrast is shown only on "logodds" (see plot.gg_partial_varpro).

Survival probability (scale = "surv"): scale = "surv" (the survival default) computes $S(\tau \mid x)$ through partialpro (the same UVT engine as mortality and RMST), bounded in $[0, 1]$. When time is not supplied, $\tau$ defaults to the median follow-up time of the fit – a data-driven horizon that is always in the model's own time units, so it cannot be mis-specified the way a hand-typed $\tau$ can. The resolved $\tau$ is reported in a message and the axis label; pass time = tau to choose another. scale = "mortality" keeps the unbounded ensemble-mortality score as an explicit opt-in.

Ensemble mortality (scale = "mortality"): here the y-axis is ensemble mortality, the expected number of events a subject would see if they were exposed to the study-average cumulative hazard. It is the same quantity as the rfsrc predicted value for survival forests (Ishwaran, Kogalur, Blackstone & Lauer, 2008 doi:10.1214/08-AOAS169). This is an unbounded relative-risk score, not a survival probability and not $1 - S(t)$; don't read it as one. For a bounded, time-anchored survival summary, use scale = "rmst", time = tau (restricted mean survival time, in the time units of the outcome) or scale = "surv" / "chf".

Arguments are documented on gg_partial_varpro; this alias shares its formals and forwards every argument unchanged.

What partialpro is doing

A partial dependence curve answers the question, "if I hold a single variable at a grid of values and average out everything else, how does the model's prediction move?" That is the same question rfsrc partial dependence answers. What varPro::partialpro adds is two wrinkles that are worth understanding before you read the curves.

First, partialpro filters the partial grid through an isolation forest (Unlimited Virtual Twins, or UVT) so that unlikely combinations of the focal variable with the rest of the data are downweighted. The rfsrc version, by contrast, averages over the full marginal grid regardless of plausibility. So when a covariate is highly correlated with others, the two methods can disagree, and partialpro's curve is the one restricted to the data manifold.

Second, partialpro fits a local polynomial model to the predicted values rather than just plotting their mean. That gives three parallel curves per variable, stored as yhat.par, yhat.nonpar, and yhat.causal, which the plot method overlays so you can see whether a smooth parametric story and the raw forest predictions are telling you the same thing.

Interpretation of the y-axis depends on the outcome (per varPro::partialpro): response scale for regression, log-odds of the target class for classification, and either ensemble mortality (default) or RMST (if the original varpro call set rmst) for survival.

What's in the output

We split partialpro's mixed list into two tidy data frames so the plot method does not have to. A variable with more than cat_limit distinct grid points goes into $continuous, one row per grid point with the column means of yhat.par, yhat.nonpar, and yhat.causal stored as parametric, nonparametric, and causal. A variable at or below cat_limit goes into $categorical, one row per observation per category level, carrying the same three columns unaveraged so the plot method can draw boxplots. Path C (scale %in% c("surv","chf")) takes a different route: we hand the underlying rfsrc forest to gg_partial_rfsrc so you get a survival-probability or cumulative-hazard curve on the usual rfsrc scale instead.

What you use this for

read the marginal shape of a relationship the varpro model found important: monotone, threshold, U-shape, flat;
compare the three partialpro estimators on the same variable and flag the ones where parametric and nonparametric disagree, those are the candidates for closer inspection;
report a survival partial dependence on the probability or cumulative-hazard scale (scale = "surv" or "chf") rather than the unbounded mortality scale.

A varpro partial dependence curve is a description of the model, not a causal effect. The causal column is varpro's local estimator, not a structural causal claim about the data-generating process.

References

Ishwaran H, Kogalur UB, Blackstone EH, Lauer MS (2008). Random survival forests. The Annals of Applied Statistics, 2(3), 841–860. doi:10.1214/08-AOAS169 .

Ishwaran H, Blackstone EH (2025). Harnessing the power of virtual (digital) twins: Graphical causal tools for understanding patient and hospital differences. Computational and Structural Biotechnology Journal, 28, 312.

Examples

set.seed(42)
n_obs <- 30; n_pts <- 15
mock_data <- list(
  age = list(
    xvirtual    = seq(30, 80, length.out = n_pts),
    xorg        = sample(seq(30, 80, by = 5), n_obs, replace = TRUE),
    yhat.par    = matrix(rnorm(n_obs * n_pts), nrow = n_obs),
    yhat.nonpar = matrix(rnorm(n_obs * n_pts), nrow = n_obs),
    yhat.causal = matrix(rnorm(n_obs * n_pts), nrow = n_obs)
  ),
  sex = list(
    xvirtual    = c(0, 1),
    xorg        = sample(c(0, 1), n_obs, replace = TRUE),
    yhat.par    = matrix(rnorm(n_obs * 2), nrow = n_obs),
    yhat.nonpar = matrix(rnorm(n_obs * 2), nrow = n_obs),
    yhat.causal = matrix(rnorm(n_obs * 2), nrow = n_obs)
  )
)
result <- gg_partial_varpro(mock_data)
head(result$continuous)
#> # A tibble: 6 × 5
#>   variable parametric nonparametric  causal name 
#>      <dbl>      <dbl>         <dbl>   <dbl> <chr>
#> 1     30      -0.0695       -0.120   0.436  age  
#> 2     33.6     0.149        -0.477   0.0438 age  
#> 3     37.1    -0.237        -0.270   0.0531 age  
#> 4     40.7    -0.0346       -0.0673 -0.0482 age  
#> 5     44.3    -0.136         0.171   0.176  age  
#> 6     47.9     0.0217        0.0159  0.119  age  
head(result$categorical)
#> # A tibble: 6 × 5
#>   parametric nonparametric causal variable name 
#>        <dbl>         <dbl>  <dbl>    <dbl> <chr>
#> 1      0.850       -0.0338  0.751        0 sex  
#> 2      1.76        -0.901  -0.829        0 sex  
#> 3      0.846       -1.18    0.710        0 sex  
#> 4     -0.545       -0.448   0.950        0 sex  
#> 5      0.255        0.559  -0.579        0 sex  
#> 6      0.299        0.0931 -1.23         0 sex  

# \donttest{
## The object-driven path: hand gg_partial_varpro() the varpro fit and let
## it call partialpro() for you.  This is where the reachability ceiling
## shows up (see Details).
set.seed(42)
vp <- varPro::varpro(mpg ~ ., data = mtcars, ntree = 50)

## Three different sizes.  partialpro() can only reach the second.
ncol(vp$x)                    # predictors in the data
#> [1] 10
length(vp$xvar.names)         # what the fit reaches
#> [1] 7
length(varPro::get.topvars(vp))   # the default when xvar.names is absent
#> [1] 4

## Say these came from an rfsrc VIMP ranking.  Check what the fit cannot
## reach before you spend the computation -- this is the habit worth having.
wanted <- c("wt", "hp", "qsec", "vs")
setdiff(wanted, vp$xvar.names)
#> [1] "qsec" "vs"  

## Ask anyway and we warn, naming what partialpro() would have dropped
## in silence.
pd <- gg_partial_varpro(object = vp, xvar.names = wanted)
#> Warning: gg_partial_varpro: 2 of 4 requested 'xvar.names' are not in the varpro fit's reachable set and are silently dropped by varPro::partialpro(): qsec, vs. The fit reaches 7 of 10 predictors (object$xvar.names); varpro() screens in two stages, so a variable can be in the data and still be unreachable. Refit with varPro::varpro(..., split.weight = FALSE) to reach every predictor.

## Refitting without the split-weight screen reaches every predictor.
vp_all <- varPro::varpro(mpg ~ ., data = mtcars, ntree = 50,
                         split.weight = FALSE)
length(vp_all$xvar.names)
#> [1] 10
setdiff(wanted, vp_all$xvar.names)   # empty; nothing to drop
#> character(0)
# }