diff --git a/ablate/exporters/markdown_exporter.py b/ablate/exporters/markdown_exporter.py
index 1cbf12a..4db50e9 100644
--- a/ablate/exporters/markdown_exporter.py
+++ b/ablate/exporters/markdown_exporter.py
@@ -57,11 +57,7 @@ def render_figure(self, block: AbstractFigureBlock, runs: List[Run]) -> str:
         if not isinstance(block, MetricPlot):
             raise NotImplementedError(f"Unsupported figure block: '{type(block)}'.")
 
-        filename = render_metric_plot(
-            block.build(runs),
-            self.assets_dir,
-            type(block).__name__,
-        )
+        filename = render_metric_plot(block, runs, self.assets_dir)
         if filename is None:
             return (
                 f"*No data available for {', '.join(m.label for m in block.metrics)}*"
diff --git a/ablate/exporters/utils.py b/ablate/exporters/utils.py
index e710e68..08cd170 100644
--- a/ablate/exporters/utils.py
+++ b/ablate/exporters/utils.py
@@ -1,11 +1,12 @@
 import hashlib
 from pathlib import Path
+from typing import List
 
 import matplotlib.pyplot as plt
-import pandas as pd
 import seaborn as sns
 
-from ablate.blocks import H1, H2, H3, H4, H5, H6
+from ablate.blocks import H1, H2, H3, H4, H5, H6, MetricPlot
+from ablate.core.types.runs import Run
 
 
 HEADING_LEVELS = {H1: 1, H2: 2, H3: 3, H4: 4, H5: 5, H6: 6}
@@ -19,11 +20,12 @@ def apply_default_plot_style() -> None:
 
 
 def render_metric_plot(
-    df: pd.DataFrame,
+    block: MetricPlot,
+    runs: List[Run],
     output_dir: Path,
-    name_prefix: str,
 ) -> str | None:
     apply_default_plot_style()
+    df = block.build(runs)
     if df.empty:
         return None
 
@@ -38,11 +40,11 @@ def render_metric_plot(
     )
     ax.set_xlabel("Step")
     ax.set_ylabel("Value")
-    ax.legend(title="Run", loc="best", frameon=False)
+    ax.legend(title=block.identifier.label, loc="best", frameon=False)
     plt.tight_layout()
 
     h = hashlib.md5(df.to_csv(index=False).encode("utf-8")).hexdigest()[:12]
-    filename = f"{name_prefix}_{h}.png"
+    filename = f"{type(block).__name__}_{h}.png"
     fig.savefig(output_dir / filename)
     plt.close(fig)
     return filename
diff --git a/ablate/queries/grouped_query.py b/ablate/queries/grouped_query.py
index a49d954..056b9bc 100644
--- a/ablate/queries/grouped_query.py
+++ b/ablate/queries/grouped_query.py
@@ -2,14 +2,14 @@
 
 from collections import defaultdict
 from copy import deepcopy
-from typing import TYPE_CHECKING, Callable, Dict, List, Literal
+from typing import TYPE_CHECKING, Callable, Dict, List, Literal, Union
 
 from ablate.core.types import GroupedRun, Run
 
 
 if TYPE_CHECKING:  # pragma: no cover
     from .query import Query  # noqa: TC004
-    from .selectors import AbstractMetric
+    from .selectors import AbstractMetric, AbstractParam
 
 
 class GroupedQuery:
@@ -75,6 +75,35 @@ def sort(self, key: AbstractMetric, ascending: bool = False) -> GroupedQuery:
             ]
         )
 
+    def project(
+        self, selectors: Union[AbstractParam, List[AbstractParam]]
+    ) -> GroupedQuery:
+        """Project the parameter space of the grouped runs in the grouped query to a
+        subset of parameters only including the specified selectors.
+
+        This function is intended to be used for reducing the dimensionality of the
+        parameter space and therefore operates on a deep copy of the grouped runs in the
+        grouped query.
+
+        Args:
+            selectors: Selector or list of selectors to project the grouped runs by.
+
+        Returns:
+            A new grouped query with the projected grouped runs.
+        """
+        if not isinstance(selectors, list):
+            selectors = [selectors]
+
+        names = {s.name for s in selectors}
+        projected: List[GroupedRun] = []
+
+        for group in deepcopy(self._grouped):
+            for run in group.runs:
+                run.params = {k: v for k, v in run.params.items() if k in names}
+            projected.append(group)
+
+        return GroupedQuery(projected)
+
     def head(self, n: int) -> Query:
         """Get the first n runs inside each grouped run.
 
@@ -195,8 +224,10 @@ def aggregate(
             case "last":
                 return self.tail(1)
             case "best":
+                assert over is not None
                 return self.topk(over, 1)
             case "worst":
+                assert over is not None
                 return self.bottomk(over, 1)
             case "mean":
                 return Query([self._mean_run(g) for g in self._grouped])
diff --git a/ablate/queries/query.py b/ablate/queries/query.py
index 87306c5..af6c45f 100644
--- a/ablate/queries/query.py
+++ b/ablate/queries/query.py
@@ -64,6 +64,31 @@ def sort(self, key: AbstractMetric, ascending: bool = False) -> Query:
         """
         return Query(sorted(self._runs[:], key=key, reverse=not ascending))
 
+    def project(self, selectors: Union[AbstractParam, List[AbstractParam]]) -> Query:
+        """Project the parameter space of the runs in the query to a subset of
+        parameters only including the specified selectors.
+
+        This function is intended to be used for reducing the dimensionality of the
+        parameter space and therefore operates on a deep copy of the runs in the query.
+
+        Args:
+            selectors: Selector or list of selectors to project the runs by.
+
+        Returns:
+            A new query with the projected runs.
+        """
+        if not isinstance(selectors, list):
+            selectors = [selectors]
+
+        names = {s.name for s in selectors}
+        projected: List[Run] = []
+
+        for run in deepcopy(self._runs):
+            run.params = {k: v for k, v in run.params.items() if k in names}
+            projected.append(run)
+
+        return Query(projected)
+
     def groupby(
         self,
         selectors: Union[AbstractParam, List[AbstractParam]],
diff --git a/tests/queries/test_grouped_query.py b/tests/queries/test_grouped_query.py
index 5093415..3f31fe5 100644
--- a/tests/queries/test_grouped_query.py
+++ b/tests/queries/test_grouped_query.py
@@ -111,3 +111,11 @@ def test_copy_and_deepcopy(grouped: GroupedQuery) -> None:
     assert all(
         dr is not gr for dr, gr in zip(deep._grouped, grouped._grouped, strict=False)
     )
+
+
+def test_grouped_query_project_reduces_param_space(grouped: GroupedQuery) -> None:
+    grouped = grouped.project(Param("model"))
+    for group in grouped._grouped:
+        for run in group.runs:
+            assert set(run.params.keys()) == {"model"}
+            assert set(run.metrics.keys()) == {"accuracy"}
diff --git a/tests/queries/test_query.py b/tests/queries/test_query.py
index 9ba3597..7ed459f 100644
--- a/tests/queries/test_query.py
+++ b/tests/queries/test_query.py
@@ -93,3 +93,10 @@ def test_query_deepcopy(runs: List[Run]) -> None:
 
 def test_query_len(runs: List[Run]) -> None:
     assert len(Query(runs)) == 3
+
+
+def test_project_reduces_parameter_space(runs: List[Run]) -> None:
+    q = Query(runs).project(Param("model"))
+    for run in q.all():
+        assert set(run.params.keys()) == {"model"}
+        assert set(run.metrics.keys()) == {"accuracy"}