diff --git a/R/Domain.R b/R/Domain.R
index 5183af66..8a6ddd31 100644
--- a/R/Domain.R
+++ b/R/Domain.R
@@ -68,7 +68,7 @@
 #'   Function with one argument, which is a list of parameter values and that returns the aggregated parameter value.
 #' @param in_tune_fn (`function(domain, param_vals)`)\cr
 #'   Function that converters a `Domain` object into a parameter value.
-#'   Can onlye be given for parameters tagged with `"internal_tuning"`.
+#'   Can only be given for parameters tagged with `"internal_tuning"`.
 #'   This function should also assert that the parameters required to enable internal tuning for the given `domain` are
 #'   set in `param_vals` (such as `early_stopping_rounds` for `XGBoost`).
 #' @param disable_in_tune (named `list()`)\cr
@@ -133,17 +133,25 @@
 #'
 #' param_set = ps(
 #'   iters = p_int(0, Inf, tags = "internal_tuning", aggr = function(x) round(mean(unlist(x))),
-#'     in_tune_fn = function(domain, param_vals) domain$upper,
-#'     disable_in_tune = list(other_param = FALSE))
+#'     in_tune_fn = function(domain, param_vals) {
+#'       stopifnot(domain$lower <= 1)
+#'       stopifnot(param_vals$early_stopping == TRUE)
+#'       domain$upper
+#'     },
+#'     disable_in_tune = list(early_stopping = FALSE)),
+#'   early_stopping = p_lgl()
 #' )
 #' param_set$set_values(
-#'   iters = to_tune(upper = 100, internal = TRUE)
+#'   iters = to_tune(upper = 100, internal = TRUE),
+#'   early_stopping = TRUE
 #' )
 #' param_set$convert_internal_search_space(param_set$search_space())
 #' param_set$aggr_internal_tuned_values(
 #'   list(iters = list(1, 2, 3))
 #' )
 #'
+#' param_set$disable_internal_tuning("iters")
+#' param_set$values$early_stopping
 #' @family ParamSet construction helpers
 #' @name Domain
 NULL
diff --git a/man/Domain.Rd b/man/Domain.Rd
index e63cc3ec..48c4e42f 100644
--- a/man/Domain.Rd
+++ b/man/Domain.Rd
@@ -158,9 +158,11 @@ value upon construction.}
 Default aggregation function for a parameter. Can only be given for parameters tagged with \code{"internal_tuning"}.
 Function with one argument, which is a list of parameter values and that returns the aggregated parameter value.}
 
-\item{in_tune_fn}{(\verb{function(domain, param_set)})\cr
+\item{in_tune_fn}{(\verb{function(domain, param_vals)})\cr
 Function that converters a \code{Domain} object into a parameter value.
-Can onlye be given for parameters tagged with \code{"internal_tuning"}.}
+Can only be given for parameters tagged with \code{"internal_tuning"}.
+This function should also assert that the parameters required to enable internal tuning for the given \code{domain} are
+set in \code{param_vals} (such as \code{early_stopping_rounds} for \code{XGBoost}).}
 
 \item{disable_in_tune}{(named \code{list()})\cr
 The parameter values that need to be set in the \code{ParamSet} to disable the internal tuning for the parameter.
@@ -254,15 +256,25 @@ print(grid$transpose())
 
 param_set = ps(
   iters = p_int(0, Inf, tags = "internal_tuning", aggr = function(x) round(mean(unlist(x))),
-    in_tune_fn = function(domain, param_set) domain$upper,
-    disable_in_tune = list(other_param = FALSE))
+    in_tune_fn = function(domain, param_vals) {
+      stopifnot(domain$lower <= 1)
+      stopifnot(param_vals$early_stopping == TRUE)
+      domain$upper
+    },
+    disable_in_tune = list(early_stopping = FALSE)),
+  early_stopping = p_lgl()
 )
 param_set$set_values(
-  iters = to_tune(upper = 100, internal = TRUE)
+  iters = to_tune(upper = 100, internal = TRUE),
+  early_stopping = TRUE
 )
 param_set$convert_internal_search_space(param_set$search_space())
-param_set$aggr(list(iters = list(1, 2, 3)))
+param_set$aggr_internal_tuned_values(
+  list(iters = list(1, 2, 3))
+)
 
+param_set$disable_internal_tuning("iters")
+param_set$values$early_stopping
 }
 \seealso{
 Other ParamSet construction helpers: 
diff --git a/man/ParamSet.Rd b/man/ParamSet.Rd
index e4cc954f..a4ad34e7 100644
--- a/man/ParamSet.Rd
+++ b/man/ParamSet.Rd
@@ -172,7 +172,7 @@ Named with param IDs.}
 \item \href{#method-ParamSet-get_values}{\code{ParamSet$get_values()}}
 \item \href{#method-ParamSet-set_values}{\code{ParamSet$set_values()}}
 \item \href{#method-ParamSet-trafo}{\code{ParamSet$trafo()}}
-\item \href{#method-ParamSet-aggr}{\code{ParamSet$aggr()}}
+\item \href{#method-ParamSet-aggr_internal_tuned_values}{\code{ParamSet$aggr_internal_tuned_values()}}
 \item \href{#method-ParamSet-disable_internal_tuning}{\code{ParamSet$disable_internal_tuning()}}
 \item \href{#method-ParamSet-convert_internal_search_space}{\code{ParamSet$convert_internal_search_space()}}
 \item \href{#method-ParamSet-test_constraint}{\code{ParamSet$test_constraint()}}
@@ -343,12 +343,12 @@ In almost all cases, the default \code{param_set = self} should be used.}
 }
 }
 \if{html}{\out{<hr>}}
-\if{html}{\out{<a id="method-ParamSet-aggr"></a>}}
-\if{latex}{\out{\hypertarget{method-ParamSet-aggr}{}}}
-\subsection{Method \code{aggr()}}{
+\if{html}{\out{<a id="method-ParamSet-aggr_internal_tuned_values"></a>}}
+\if{latex}{\out{\hypertarget{method-ParamSet-aggr_internal_tuned_values}{}}}
+\subsection{Method \code{aggr_internal_tuned_values()}}{
 Aggregate parameter values according to their aggregation rules.
 \subsection{Usage}{
-\if{html}{\out{<div class="r">}}\preformatted{ParamSet$aggr(x)}\if{html}{\out{</div>}}
+\if{html}{\out{<div class="r">}}\preformatted{ParamSet$aggr_internal_tuned_values(x)}\if{html}{\out{</div>}}
 }
 
 \subsection{Arguments}{
diff --git a/man/ParamSetCollection.Rd b/man/ParamSetCollection.Rd
index a1999df6..01c10e7f 100644
--- a/man/ParamSetCollection.Rd
+++ b/man/ParamSetCollection.Rd
@@ -73,6 +73,8 @@ This field provides direct references to the \code{\link{ParamSet}} objects.}
 \item \href{#method-ParamSetCollection-new}{\code{ParamSetCollection$new()}}
 \item \href{#method-ParamSetCollection-add}{\code{ParamSetCollection$add()}}
 \item \href{#method-ParamSetCollection-disable_internal_tuning}{\code{ParamSetCollection$disable_internal_tuning()}}
+\item \href{#method-ParamSetCollection-convert_internal_search_space}{\code{ParamSetCollection$convert_internal_search_space()}}
+\item \href{#method-ParamSetCollection-flatten}{\code{ParamSetCollection$flatten()}}
 \item \href{#method-ParamSetCollection-clone}{\code{ParamSetCollection$clone()}}
 }
 }
@@ -80,14 +82,12 @@ This field provides direct references to the \code{\link{ParamSet}} objects.}
 <details><summary>Inherited methods</summary>
 <ul>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="add_dep"><a href='../../paradox/html/ParamSet.html#method-ParamSet-add_dep'><code>paradox::ParamSet$add_dep()</code></a></span></li>
-<li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="aggr"><a href='../../paradox/html/ParamSet.html#method-ParamSet-aggr'><code>paradox::ParamSet$aggr()</code></a></span></li>
+<li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="aggr_internal_tuned_values"><a href='../../paradox/html/ParamSet.html#method-ParamSet-aggr_internal_tuned_values'><code>paradox::ParamSet$aggr_internal_tuned_values()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="assert"><a href='../../paradox/html/ParamSet.html#method-ParamSet-assert'><code>paradox::ParamSet$assert()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="assert_dt"><a href='../../paradox/html/ParamSet.html#method-ParamSet-assert_dt'><code>paradox::ParamSet$assert_dt()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="check"><a href='../../paradox/html/ParamSet.html#method-ParamSet-check'><code>paradox::ParamSet$check()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="check_dependencies"><a href='../../paradox/html/ParamSet.html#method-ParamSet-check_dependencies'><code>paradox::ParamSet$check_dependencies()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="check_dt"><a href='../../paradox/html/ParamSet.html#method-ParamSet-check_dt'><code>paradox::ParamSet$check_dt()</code></a></span></li>
-<li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="convert_internal_search_space"><a href='../../paradox/html/ParamSet.html#method-ParamSet-convert_internal_search_space'><code>paradox::ParamSet$convert_internal_search_space()</code></a></span></li>
-<li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="flatten"><a href='../../paradox/html/ParamSet.html#method-ParamSet-flatten'><code>paradox::ParamSet$flatten()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="format"><a href='../../paradox/html/ParamSet.html#method-ParamSet-format'><code>paradox::ParamSet$format()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="get_domain"><a href='../../paradox/html/ParamSet.html#method-ParamSet-get_domain'><code>paradox::ParamSet$get_domain()</code></a></span></li>
 <li><span class="pkg-link" data-pkg="paradox" data-topic="ParamSet" data-id="get_values"><a href='../../paradox/html/ParamSet.html#method-ParamSet-get_values'><code>paradox::ParamSet$get_values()</code></a></span></li>
@@ -177,6 +177,38 @@ The ids of the parameters for which to disable internal tuning.}
 \subsection{Returns}{
 \code{Self}
 }
+}
+\if{html}{\out{<hr>}}
+\if{html}{\out{<a id="method-ParamSetCollection-convert_internal_search_space"></a>}}
+\if{latex}{\out{\hypertarget{method-ParamSetCollection-convert_internal_search_space}{}}}
+\subsection{Method \code{convert_internal_search_space()}}{
+Convert all parameters from the search space to parameter values using the transformation given by
+\code{in_tune_fn}.
+\subsection{Usage}{
+\if{html}{\out{<div class="r">}}\preformatted{ParamSetCollection$convert_internal_search_space(search_space)}\if{html}{\out{</div>}}
+}
+
+\subsection{Arguments}{
+\if{html}{\out{<div class="arguments">}}
+\describe{
+\item{\code{search_space}}{(\code{\link{ParamSet}})\cr
+The internal search space.}
+}
+\if{html}{\out{</div>}}
+}
+\subsection{Returns}{
+(named \code{list()})
+}
+}
+\if{html}{\out{<hr>}}
+\if{html}{\out{<a id="method-ParamSetCollection-flatten"></a>}}
+\if{latex}{\out{\hypertarget{method-ParamSetCollection-flatten}{}}}
+\subsection{Method \code{flatten()}}{
+Create a \code{ParamSet} from this \code{ParamSetCollection}.
+\subsection{Usage}{
+\if{html}{\out{<div class="r">}}\preformatted{ParamSetCollection$flatten()}\if{html}{\out{</div>}}
+}
+
 }
 \if{html}{\out{<hr>}}
 \if{html}{\out{<a id="method-ParamSetCollection-clone"></a>}}