diff --git a/DESCRIPTION b/DESCRIPTION
index bea05e9a..482dc862 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -51,7 +51,9 @@ Imports:
 Suggests:
     knitr,
     lhs,
-    testthat
+    testthat,
+    reticulate,
+    jsonlite
 Encoding: UTF-8
 Config/testthat/edition: 3
 Config/testthat/parallel: false
@@ -76,12 +78,14 @@ Collate:
     'SamplerJointIndep.R'
     'SamplerUnif.R'
     'asserts.R'
+    'cs_ps.R'
     'helper.R'
     'domain.R'
     'generate_design_grid.R'
     'generate_design_lhs.R'
     'generate_design_random.R'
     'ps.R'
+    'ps_cs.R'
     'reexports.R'
     'to_tune.R'
     'zzz.R'
diff --git a/NAMESPACE b/NAMESPACE
index 6153cbcd..f87f8006 100644
--- a/NAMESPACE
+++ b/NAMESPACE
@@ -33,6 +33,7 @@ export(SamplerUnif)
 export(as.data.table)
 export(assert_param)
 export(assert_param_set)
+export(cs_to_ps)
 export(generate_design_grid)
 export(generate_design_lhs)
 export(generate_design_random)
@@ -42,6 +43,7 @@ export(p_int)
 export(p_lgl)
 export(p_uty)
 export(ps)
+export(ps_to_cs)
 export(to_tune)
 import(checkmate)
 import(data.table)
diff --git a/R/cs_ps.R b/R/cs_ps.R
new file mode 100644
index 00000000..568f4b5d
--- /dev/null
+++ b/R/cs_ps.R
@@ -0,0 +1,106 @@
+get_type_ps = function(x) {
+  clx = c("UniformIntegerHyperparameter",
+          "NormalIntegerHyperparameter",
+          "UniformFloatHyperparameter",
+          "NormalFloatHyperparameter",
+          "CategoricalHyperparameter",
+          "OrdinalHyperparameter",
+          "Constant")
+  # we cannot represent ordered so we use the same as for categorical
+  tlx = c("uniform_int", "normal_int", "uniform_float", "normal_float", "categorical", "categorical", "constant")
+  tlx[match(x$`__class__`$`__name__`, clx)]
+}
+
+
+
+#' @title Map a ConfigSpace to a ParamSet
+#'
+#' @description
+#' Maps a ConfigSpace (loaded via \CRANpkg{reticulate}) to a [ParamSet].
+#' NormalIntegerHyperparameters are treated as UniformIntegerHyperparameter and the same holds for floats.
+#' OrdinalHyperparameters are treated as CategoricalHyperparameters.
+#' Constants are mapped to [ParamUty]s with tag `"constant"`.
+#' Names are subject to changes via [base::make.names()].
+#' q, weights and meta fields are ignored.
+#'
+#' @param cs (ConfigSpace).
+#' @return [ParamSet]
+#'
+#' @export
+#' @examples
+#' # see ps_to_cs
+cs_to_ps = function(cs) {
+  # FIXME: we could do some additional safety checks here
+  assert_true(cs$`__class__`$`__name__` == "ConfigurationSpace")
+  if (length(cs$get_forbiddens())) {
+    stop("Forbiddens are not implemented.")
+  }
+
+  # params
+  # if q or weights is set for any parameter, we cannot respect this
+  ps = ParamSet$new(mlr3misc::map(cs$get_hyperparameters(), .f = function(x) {
+    switch(get_type_ps(x),
+      "uniform_int" =
+        if (x$log) {
+          ParamDbl$new(make.names(x$name), lower = log(x$lower), upper = log(x$upper), default = log(x$default_value), tags = c("int", "log"))
+        } else {
+          ParamInt$new(make.names(x$name), lower = x$lower, upper = x$upper, default = x$default_value)
+        },
+      # we do not differentiate between uniform and normal ints
+      "normal_int" = {
+        warning("Normal ints are treated as uniform ints.")
+        if (x$log) {
+          ParamDbl$new(make.names(x$name), lower = -Inf, upper = Inf, default = log(x$default_value), tags = c("int", "log"))
+        } else {
+          ParamInt$new(make.names(x$name), lower = -Inf, upper = Inf, default = x$default_value)
+        }
+      },
+      "uniform_float" =
+        if (x$log) {
+          ParamDbl$new(make.names(x$name), lower = log(x$lower), upper = log(x$upper), default = log(x$default_value), tags = "log")
+        } else {
+          ParamDbl$new(make.names(x$name), lower = x$lower, upper = x$upper, default = x$default_value)
+        },
+      # we do not differentiate between uniform and normal floats
+      "normal_float" = {
+        warning("Normal floats are treated as uniform floats.")
+        if (x$log) {
+          ParamDbl$new(make.names(x$name), lower = -Inf, upper = Inf, default = log(x$default_value), tags = "log")
+        } else {
+          ParamDbl$new(make.names(x$name), lower = -Inf, upper = Inf, default = x$default_value)
+        }
+      },
+      "categorical" =
+        if (every(x$choices, is.logical)) {
+          ParamLgl$new(make.names(x$name), default = x$default_value)
+        } else {
+          ParamFct$new(make.names(x$name), levels = unlist(x$choices), default = x$default_value)
+        },
+      "constant" =
+        ParamUty$new(make.names(x$name), default = x$default_value, tags = "constant")
+    )
+  }))
+
+  # trafo
+  ps$trafo = function(x, param_set) {
+    for (i in names(which(mlr3misc::map_lgl(param_set$tags, .f = function(tags) "log" %in% tags)))) {
+      x[[i]] = if ("int" %in% ps$params[[i]]$tags) as.integer(round(exp(x[[i]]))) else exp(x[[i]])
+    }
+    x
+  }
+
+  # deps
+  cnds = cs$get_conditions()
+  for (cnd in cnds) {
+    if ("InCondition" %in% cnd$`__class__`$`__name__`) {
+      ps$add_dep(make.names(cnd$child$name), on = make.names(cnd$parent$name), CondAnyOf$new(cnd$values))
+    } else if ("EqualsCondition" %in% cnd$`__class__`$`__name__`) {
+      ps$add_dep(make.names(cnd$child$name), on = make.names(cnd$parent$name), CondEqual$new(cnd$value))
+    } else {
+      stop("Not implemented.")
+    }
+  }
+
+  ps
+}
+
diff --git a/R/ps_cs.R b/R/ps_cs.R
new file mode 100644
index 00000000..13761181
--- /dev/null
+++ b/R/ps_cs.R
@@ -0,0 +1,170 @@
+get_type_cs = function(x) {
+  # FIXME: we cannot represent ParamUty
+  # FIXME: we may want to map ParamUty or ParamFct with a single possible value to ConfigSpace.hyperparameters.Constant
+  clx = c("ParamInt", "ParamDbl", "ParamLgl", "ParamFct")
+  tlx = c("uniform_int", "uniform_float", "categorical", "categorical")
+  tlx[match(class(x)[1L], clx)]
+}
+
+wrap_default = function(default, trafo = identity) {
+  checkmate::assert_function(trafo)
+  if (checkmate::test_r6(default, classes = "NoDefault")) {
+    NULL
+  } else {
+    trafo(default)
+  }
+}
+
+#' @title Map a ParamSet to a ConfigSpace
+#'
+#' @description
+#' Maps a ParamSet to a ConfigSpace.
+#' [ParamUty]s cannot be represented.
+#' Transformation functions except for log transformations are NOT automatically handled (and ConfigSpace in general cannot do this).
+#' To automatically handle a log transformation, set a `"log"` tag for the [Param],
+#' if the [Param] would be a [ParamInt] after transformation, additionally set an `"int"` tag, see examples below.
+#' Only [Condition]s of class [CondEqual] and [CondAnyOf] are supported.
+#'
+#' Requires \CRANpkg{reticulate} and \CRANpkg{jsonlite} (if saving in json format is desired) to be installed.
+#'
+#' @param ps [ParamSet].
+#' @param json_file (`character(1)`). \cr
+#'   Optional filename ending with `".json"`.
+#'   If specified, the returned ConfigSpace is additionally saved in the json format.
+#'   Useful for using the ConfigSpace in a pure python session.
+#'
+#' @return ConfigSpace
+#'
+#' @export
+#' @examples
+#'\dontrun{
+#'ps = ParamSet$new(list(
+#'  ParamDbl$new("x1", lower = log(10), upper = log(20), default = log(15), tags = c("int", "log")),
+#'  ParamInt$new("x2", lower = 10, upper = 20, default = 15),
+#'  ParamDbl$new("x3", lower = log(10), upper = log(20), default = log(15), tags = "log"),
+#'  ParamDbl$new("x4", lower = 10, upper = 20, default = 15),
+#'  ParamLgl$new("x5", default = TRUE),
+#'  ParamFct$new("x6", levels = c("a", "b", "c"), default = "c"))
+#')
+#'
+#'ps$trafo = function(x, param_set) {
+#'  for (i in names(which(mlr3misc::map_lgl(param_set$tags, .f = function(tags) "log" %in% tags)))) {
+#'    x[[i]] = if ("int" %in% ps$params[[i]]$tags) as.integer(round(exp(x[[i]]))) else exp(x[[i]])
+#'  }
+#'  x
+#'}
+#'
+#'ps$add_dep("x6", on = "x5", cond = CondEqual$new(TRUE))
+#'ps$add_dep("x4", on = "x6", cond = CondAnyOf$new(c("a", "b")))
+#'
+#'cs = ps_to_cs(ps)
+#'
+#'dt_ps = data.table::rbindlist(generate_design_random(ps, n = 1000L)$transpose(filter_na = FALSE))
+#'dt_cs = data.table::rbindlist(mlr3misc::map(cs$sample_configuration(1000L), function(x) {
+#'  x$get_dictionary()
+#'}), fill = TRUE)
+#'summary(dt_ps)
+#'summary(dt_cs)
+#'all(is.na(dt_ps[x5 == FALSE][["x6"]]))  # first dependency
+#'all(is.na(dt_cs[x5 == FALSE][["x6"]]))  # first dependency
+#'all(is.na(dt_ps[x6 == "c"][["x4"]]))    # second dependency
+#'all(is.na(dt_cs[x6 == "c"][["x4"]]))    # second dependency
+#'
+#'ps_ = cs_to_ps(cs)
+#'psparams = ps$params
+#'ps_params = ps_$params
+#'all.equal(psparams, ps_params[names(psparams)])
+#'all.equal(ps$deps, ps_$deps)
+#'# ps$trafo, ps_$trafo
+#'dt_ps_ = data.table::rbindlist(generate_design_random(ps, n = 1000L)$transpose(filter_na = FALSE))
+#'summary(dt_ps_)
+#'all(is.na(dt_ps_[x5 == FALSE][["x6"]]))  # first dependency
+#'all(is.na(dt_ps_[x6 == "c"][["x4"]]))    # second dependency
+#'}
+ps_to_cs = function(ps, json_file = NULL) {
+  # FIXME: could add an argument to ignore budget params (because most python optimizers do not use budget params in the cs
+  # FIXME: we could do some additional safety checks here
+  assert_param_set(ps)
+  if (!is.null(json_file)) {
+    assert_path_for_output(json_file)
+    assert_true(endsWith(json_file, suffix = ".json"))
+  }
+
+  requireNamespace("reticulate")
+  requireNamespace("jsonlite")
+
+  CS = reticulate::import("ConfigSpace", as = "CS")
+  CSH = reticulate::import("ConfigSpace.hyperparameters", as = "CSH")
+  json = reticulate::import("ConfigSpace.read_and_write.json")
+
+  cs = CS$ConfigurationSpace()
+
+  # params
+  for (i in seq_along(ps$params)) {
+    param = ps$params[[i]]
+    tmp = switch(get_type_cs(param),
+      "uniform_int" =
+        CSH$UniformIntegerHyperparameter(name = param$id, lower = param$lower, upper = param$upper, default_value = wrap_default(param$default)),
+      "uniform_float" = if (all(c("int", "log") %in% param$tags)) {
+        CSH$UniformIntegerHyperparameter(name = param$id, lower = as.integer(round(exp(param$lower))), upper = as.integer(round(exp(param$upper))), default_value = wrap_default(param$default, trafo = function(x) as.integer(round(exp(x)))), log = TRUE)
+      } else if ("log" %in% param$tags) {
+        CSH$UniformFloatHyperparameter(name = param$id, lower = exp(param$lower), upper = exp(param$upper), default_value = wrap_default(param$default, trafo = exp), log = TRUE)
+      } else {
+        CSH$UniformFloatHyperparameter(name = param$id, lower = param$lower, upper = param$upper, default_value = wrap_default(param$default))
+      },
+      "categorical" =
+        CSH$CategoricalHyperparameter(name = param$id, choices = param$levels, default_value = wrap_default(param$default)),
+    )
+    cs$add_hyperparameter(tmp)
+  }
+
+  # trafo
+  if (ps$has_trafo) {
+    warning("Only log trafos can be respected automatically. Please check your trafos.")
+  }
+
+  # FIXME: check
+  # deps, and_conditions treated separately
+  conditions = ps$deps
+  and_conditions = which(table(conditions$id) > 1L)
+  and_conditions = conditions[id %in% names(and_conditions)]
+  rest_conditions = conditions[id %nin% and_conditions$id]
+
+  for (id in unique(and_conditions$id)) {
+    ids = which(and_conditions$id == id)
+    conds = map(ids, function(x) {
+      child = cs$get_hyperparameter(and_conditions[x, id])
+      parent = cs$get_hyperparameter(and_conditions[x, on])
+      cond = and_conditions[x, cond][[1L]]
+      cnd = if (checkmate::test_r6(cond, classes = "CondAnyOf")) {
+        CS$InCondition(child = child, parent = parent, values = cond$rhs)
+      } else if (checkmate::test_r6(cond, classes = "CondEqual")) {
+        CS$EqualsCondition(child = child, parent = parent, value = cond$rhs)
+      } else {
+        stop("Not implemented.")
+      }
+      cnd
+    })
+    cnd = mlr3misc::invoke(CS$AndConjunction, .args = conds)
+    cs$add_condition(cnd)
+  }
+
+  # deps
+  for (i in seq_len(NROW(rest_conditions))) {
+    child = cs$get_hyperparameter(rest_conditions[i, id])
+    parent = cs$get_hyperparameter(rest_conditions[i, on])
+    cond = rest_conditions[i, cond][[1L]]
+    cnd = if (checkmate::test_r6(cond, classes = "CondAnyOf")) {
+      CS$InCondition(child = child, parent = parent, values = cond$rhs)
+    } else if (checkmate::test_r6(cond, classes = "CondEqual")) {
+      CS$EqualsCondition(child = child, parent = parent, value = cond$rhs)
+    } else {
+      stop("Not implemented.")
+    }
+    cs$add_condition(cnd)
+  }
+
+  if (!is.null(json_file)) write(json$write(cs), json_file)
+  cs
+}
+
diff --git a/R/zzz.R b/R/zzz.R
index 4771bc1c..aae97ccf 100644
--- a/R/zzz.R
+++ b/R/zzz.R
@@ -11,4 +11,7 @@
   backports::import(pkgname)
 } # nocov end
 
+# static code checks should not complain about commonly used data.table columns
+utils::globalVariables(c("id", "on"))
+
 leanify_package()
diff --git a/man/cs_to_ps.Rd b/man/cs_to_ps.Rd
new file mode 100644
index 00000000..22bb27ae
--- /dev/null
+++ b/man/cs_to_ps.Rd
@@ -0,0 +1,25 @@
+% Generated by roxygen2: do not edit by hand
+% Please edit documentation in R/cs_ps.R
+\name{cs_to_ps}
+\alias{cs_to_ps}
+\title{Map a ConfigSpace to a ParamSet}
+\usage{
+cs_to_ps(cs)
+}
+\arguments{
+\item{cs}{(ConfigSpace).}
+}
+\value{
+\link{ParamSet}
+}
+\description{
+Maps a ConfigSpace (loaded via \CRANpkg{reticulate}) to a \link{ParamSet}.
+NormalIntegerHyperparameters are treated as UniformIntegerHyperparameter and the same holds for floats.
+OrdinalHyperparameters are treated as CategoricalHyperparameters.
+Constants are mapped to \link{ParamUty}s with tag \code{"constant"}.
+Names are subject to changes via \code{\link[base:make.names]{base::make.names()}}.
+q, weights and meta fields are ignored.
+}
+\examples{
+# see ps_to_cs
+}
diff --git a/man/ps_to_cs.Rd b/man/ps_to_cs.Rd
new file mode 100644
index 00000000..222d8470
--- /dev/null
+++ b/man/ps_to_cs.Rd
@@ -0,0 +1,75 @@
+% Generated by roxygen2: do not edit by hand
+% Please edit documentation in R/ps_cs.R
+\name{ps_to_cs}
+\alias{ps_to_cs}
+\title{Map a ParamSet to a ConfigSpace}
+\usage{
+ps_to_cs(ps, json_file = NULL)
+}
+\arguments{
+\item{ps}{\link{ParamSet}.}
+
+\item{json_file}{(\code{character(1)}). \cr
+Optional filename ending with \code{".json"}.
+If specified, the returned ConfigSpace is additionally saved in the json format.
+Useful for using the ConfigSpace in a pure python session.}
+}
+\value{
+ConfigSpace
+}
+\description{
+Maps a ParamSet to a ConfigSpace.
+\link{ParamUty}s cannot be represented.
+Transformation functions except for log transformations are NOT automatically handled (and ConfigSpace in general cannot do this).
+To automatically handle a log transformation, set a \code{"log"} tag for the \link{Param},
+if the \link{Param} would be a \link{ParamInt} after transformation, additionally set an \code{"int"} tag, see examples below.
+Only \link{Condition}s of class \link{CondEqual} and \link{CondAnyOf} are supported.
+
+Requires \CRANpkg{reticulate} and \CRANpkg{jsonlite} (if saving in json format is desired) to be installed.
+}
+\examples{
+\dontrun{
+ps = ParamSet$new(list(
+ ParamDbl$new("x1", lower = log(10), upper = log(20), default = log(15), tags = c("int", "log")),
+ ParamInt$new("x2", lower = 10, upper = 20, default = 15),
+ ParamDbl$new("x3", lower = log(10), upper = log(20), default = log(15), tags = "log"),
+ ParamDbl$new("x4", lower = 10, upper = 20, default = 15),
+ ParamLgl$new("x5", default = TRUE),
+ ParamFct$new("x6", levels = c("a", "b", "c"), default = "c"))
+)
+
+ps$trafo = function(x, param_set) {
+ for (i in names(which(mlr3misc::map_lgl(param_set$tags, .f = function(tags) "log" \%in\% tags)))) {
+   x[[i]] = if ("int" \%in\% ps$params[[i]]$tags) as.integer(round(exp(x[[i]]))) else exp(x[[i]])
+ }
+ x
+}
+
+ps$add_dep("x6", on = "x5", cond = CondEqual$new(TRUE))
+ps$add_dep("x4", on = "x6", cond = CondAnyOf$new(c("a", "b")))
+
+cs = ps_to_cs(ps)
+
+dt_ps = data.table::rbindlist(generate_design_random(ps, n = 1000L)$transpose(filter_na = FALSE))
+dt_cs = data.table::rbindlist(mlr3misc::map(cs$sample_configuration(1000L), function(x) {
+ x$get_dictionary()
+}), fill = TRUE)
+summary(dt_ps)
+summary(dt_cs)
+all(is.na(dt_ps[x5 == FALSE][["x6"]]))  # first dependency
+all(is.na(dt_cs[x5 == FALSE][["x6"]]))  # first dependency
+all(is.na(dt_ps[x6 == "c"][["x4"]]))    # second dependency
+all(is.na(dt_cs[x6 == "c"][["x4"]]))    # second dependency
+
+ps_ = cs_to_ps(cs)
+psparams = ps$params
+ps_params = ps_$params
+all.equal(psparams, ps_params[names(psparams)])
+all.equal(ps$deps, ps_$deps)
+# ps$trafo, ps_$trafo
+dt_ps_ = data.table::rbindlist(generate_design_random(ps, n = 1000L)$transpose(filter_na = FALSE))
+summary(dt_ps_)
+all(is.na(dt_ps_[x5 == FALSE][["x6"]]))  # first dependency
+all(is.na(dt_ps_[x6 == "c"][["x4"]]))    # second dependency
+}
+}