diff --git a/CLUEstering/CLUEstering.py b/CLUEstering/CLUEstering.py
index a9376897..9aa0aa78 100644
--- a/CLUEstering/CLUEstering.py
+++ b/CLUEstering/CLUEstering.py
@@ -549,11 +549,34 @@ def list_devices(self, backend: str = "all") -> None:
             raise ValueError("Invalid backend. The allowed choices for the"
                              + " backend are: all, cpu serial, cpu tbb and gpu cuda.")
 
+    def _partial_dimension_dataset(self, dimensions: list):
+        """
+        Returns a dataset containing only the coordinates of the chosen dimensions.
+
+        This method returns a dataset containing only the coordinates of the chosen
+        dimensions when a set of dimensions is chosen in the `run_clue` method. This
+        allows to run the algorithm in a lower dimensional space.
+
+        Parameters
+        ----------
+        dimensions : list
+            The list of the dimensions that should be considered.
+
+        Returns
+        -------
+        np.ndarray
+            Array containing the coordinates of the chosen dimensions.
+
+        """
+
+        return np.array([self.clust_data.coords.T[dim] for dim in dimensions]).T
+
     def run_clue(self,
                  backend: str = "cpu serial",
                  block_size: int = 1024,
                  device_id: int = 0,
-                 verbose: bool = False) -> None:
+                 verbose: bool = False,
+                 dimensions: Union[list, None] = None) -> None:
         """
         Executes the CLUE clustering algorithm.
 
@@ -582,18 +605,20 @@ def run_clue(self,
         None
         """
 
+        if dimensions is None:
+            data = self.clust_data.coords
+        else:
+            data = self._partial_dimension_dataset(dimensions)
         start = time.time_ns()
         if backend == "cpu serial":
             cluster_id_is_seed = cpu_serial.mainRun(self.dc_, self.rhoc, self.outlier, self.ppbin,
-                                                    self.clust_data.coords, self.clust_data.weight,
-                                                    self.kernel, self.clust_data.n_dim, block_size,
-                                                    device_id)
+                                                    data, self.clust_data.weight, self.kernel,
+                                                    self.clust_data.n_dim, block_size, device_id)
         elif backend == "cpu tbb":
             if tbb_found:
                 cluster_id_is_seed = cpu_tbb.mainRun(self.dc_, self.rhoc, self.outlier,
-                                                     self.ppbin, self.clust_data.coords,
-                                                     self.clust_data.weight, self.kernel,
-                                                     self.clust_data.n_dim, block_size,
+                                                     self.ppbin, data, self.clust_data.weight,
+                                                     self.kernel, self.clust_data.n_dim, block_size,
                                                      device_id)
             else:
                 print("TBB module not found. Please re-compile the library and try again.")
@@ -601,9 +626,8 @@ def run_clue(self,
         elif backend == "gpu cuda":
             if cuda_found:
                 cluster_id_is_seed = gpu_cuda.mainRun(self.dc_, self.rhoc, self.outlier,
-                                                      self.ppbin, self.clust_data.coords,
-                                                      self.clust_data.weight, self.kernel,
-                                                      self.clust_data.n_dim, block_size,
+                                                      self.ppbin, data, self.clust_data.weight,
+                                                      self.kernel, self.clust_data.n_dim, block_size,
                                                       device_id)
             else:
                 print("CUDA module not found. Please re-compile the library and try again.")
@@ -611,9 +635,8 @@ def run_clue(self,
         elif backend == "gpu hip":
             if hip_found:
                 cluster_id_is_seed = gpu_hip.mainRun(self.dc_, self.rhoc, self.outlier,
-                                                     self.ppbin, self.clust_data.coords,
-                                                     self.clust_data.weight, self.kernel,
-                                                     self.clust_data.n_dim, block_size,
+                                                     self.ppbin, data, self.clust_data.weight,
+                                                     self.kernel, self.clust_data.n_dim, block_size,
                                                      device_id)
             else:
                 print("HIP module not found. Please re-compile the library and try again.")
diff --git a/setup.py b/setup.py
index f6e9d10a..b4c8ff50 100644
--- a/setup.py
+++ b/setup.py
@@ -4,7 +4,7 @@
 from pathlib import Path
 from setuptools import setup
 
-__version__ = "2.0.0"
+__version__ = "2.0.1"
 this_directory = Path(__file__).parent
 long_description = (this_directory/'README.md').read_text()
 
diff --git a/tests/test_datasets/box.csv b/tests/test_datasets/box.csv
new file mode 100644
index 00000000..c91f9bdd
--- /dev/null
+++ b/tests/test_datasets/box.csv
@@ -0,0 +1,5001 @@
+x0,x1,x2,weight
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new file mode 100644
index 00000000..a6156755
--- /dev/null
+++ b/tests/test_datasets/square.csv
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diff --git a/tests/test_partial_dimensional_clustering.py b/tests/test_partial_dimensional_clustering.py
new file mode 100644
index 00000000..3a500803
--- /dev/null
+++ b/tests/test_partial_dimensional_clustering.py
@@ -0,0 +1,134 @@
+'''
+'''
+
+import numpy as np
+import pandas as pd
+import pytest
+import sys
+sys.path.insert(1, '../CLUEstering/')
+import CLUEstering as clue
+
+@pytest.fixture
+def moons():
+    '''
+    Returns the dataframe containing the moon dataset
+    '''
+    return pd.read_csv("./test_datasets/moons.csv")
+
+@pytest.fixture
+def blobs():
+    '''
+    Returns the dataframe containing the blob dataset
+    '''
+    return pd.read_csv("./test_datasets/blob.csv")
+
+@pytest.fixture
+def square():
+    '''
+    Retuns a dataframe where the points are distributed in a square
+    '''
+    return pd.read_csv("./test_datasets/square.csv")
+
+@pytest.fixture
+def box():
+    '''
+    Retuns a dataframe where the points are distributed in a 3D box
+    '''
+    return pd.read_csv("./test_datasets/box.csv")
+
+def test_one_out_of_two(moons):
+    '''
+    Test the dimension reduction from 2D to 1D
+    '''
+
+    c = clue.clusterer(.4, 2., 1.6)
+    c.read_data(moons)
+    # check the initial number of dimensions
+    assert len(c.clust_data.coords[0]) == 2
+    coords_x0 = c._partial_dimension_dataset([0])
+    coords_x1 = c._partial_dimension_dataset([1])
+    
+    for i in range(c.clust_data.n_points):
+        # check that the coordinates are the same
+        assert coords_x0[i] == c.clust_data.coords[i][0]
+        assert coords_x1[i] == c.clust_data.coords[i][1]
+        # check that the number of dimensions is correct
+        assert len(coords_x0[i]) == 1
+        assert len(coords_x1[i]) == 1
+    # check that the number of points is correct
+    assert len(coords_x0) == c.clust_data.n_points
+    assert len(coords_x1) == c.clust_data.n_points
+
+def test_one_out_of_three(blobs):
+    '''
+    Test the dimension reduction from 3D to 1D
+    '''
+
+    c = clue.clusterer(.4, 2., 1.6)
+    c.read_data(blobs)
+    # check the initial number of dimensions
+    assert len(c.clust_data.coords[0]) == 3
+    coords_x0 = c._partial_dimension_dataset([0])
+    coords_x1 = c._partial_dimension_dataset([1])
+    coords_x2 = c._partial_dimension_dataset([2])
+
+    for i in range(c.clust_data.n_points):
+        # check that the coordinates are the same
+        assert coords_x0[i] == c.clust_data.coords[i][0]
+        assert coords_x1[i] == c.clust_data.coords[i][1]
+        assert coords_x2[i] == c.clust_data.coords[i][2]
+        # check that the number of dimensions is correct
+        assert len(coords_x0[i]) == 1
+        assert len(coords_x1[i]) == 1
+        assert len(coords_x2[i]) == 1
+    # check that the number of points is correct
+    assert len(coords_x0) == c.clust_data.n_points
+    assert len(coords_x1) == c.clust_data.n_points
+    assert len(coords_x2) == c.clust_data.n_points
+
+def test_two_out_of_three(blobs):
+    '''
+    Test the dimension reduction from 3D to 2D
+    '''
+
+    c = clue.clusterer(.4, 2., 1.6)
+    c.read_data(blobs)
+    # check the initial number of dimensions
+    assert len(c.clust_data.coords[0]) == 3
+    coords_x0x1 = c._partial_dimension_dataset([0, 1])
+    coords_x0x2 = c._partial_dimension_dataset([0, 2])
+    coords_x1x2 = c._partial_dimension_dataset([1, 2])
+
+    for i in range(c.clust_data.n_points):
+        # check that the coordinates are the same
+        assert coords_x0x1[i][0] == c.clust_data.coords[i][0]
+        assert coords_x0x1[i][1] == c.clust_data.coords[i][1]
+        assert coords_x0x2[i][0] == c.clust_data.coords[i][0]
+        assert coords_x0x2[i][1] == c.clust_data.coords[i][2]
+        assert coords_x1x2[i][0] == c.clust_data.coords[i][1]
+        assert coords_x1x2[i][1] == c.clust_data.coords[i][2]
+        # check that the number of dimensions is correct
+        assert len(coords_x0x1[i]) == 2
+        assert len(coords_x0x2[i]) == 2
+        assert len(coords_x0x2[i]) == 2
+    # check that the number of points is correct
+    assert len(coords_x0x1) == c.clust_data.n_points
+    assert len(coords_x0x2) == c.clust_data.n_points
+    assert len(coords_x1x2) == c.clust_data.n_points
+
+def test_square_box(square, box):
+    '''
+    Compare the clustering of a 2D square with that of a 3D box 
+    clustered using only two dimensions
+    '''
+    c1 = clue.clusterer(.4, 2., 1.6)
+    c1.read_data(square)
+    c1.run_clue()
+
+    c2 = clue.clusterer(.4, 2., 1.6)
+    c2.read_data(box)
+    c2.run_clue(dimensions=[0, 1])
+
+    # check that the result of clustering the 3D dataset using only
+    # two dimensions is the same as clustering the 2D dataset
+    assert c1.clust_prop == c2.clust_prop