diff --git a/prototorch/__init__.py b/prototorch/__init__.py
index d549de2..d0ce2d6 100644
--- a/prototorch/__init__.py
+++ b/prototorch/__init__.py
@@ -14,6 +14,7 @@ from .core import (
     components,
     distances,
     initializers,
+    similarities,
     losses,
     pooling,
 )
@@ -31,6 +32,7 @@ __all_core__ = [
     "losses",
     "nn",
     "pooling",
+    "similarities",
     "utils",
 ]
 
diff --git a/prototorch/core/competitions.py b/prototorch/core/competitions.py
index 2e354b6..2a54e10 100644
--- a/prototorch/core/competitions.py
+++ b/prototorch/core/competitions.py
@@ -28,6 +28,24 @@ def knnc(distances: torch.Tensor,
     return winning_labels
 
 
+def cbcc(detections: torch.Tensor, reasonings: torch.Tensor):
+    """Classification-By-Components Competition.
+
+    Returns probability distributions over the classes.
+
+    `detections` must be of shape [batch_size, num_components].
+    `reasonings` must be of shape [num_components, num_classes, 2].
+
+    """
+    A, B = reasonings.permute(2, 1, 0).clamp(0, 1)
+    pk = A
+    nk = (1 - A) * B
+    numerator = (detections @ (pk - nk).T) + nk.sum(1)
+    probs = numerator / (pk + nk).sum(1)
+    # probs = probs.squeeze(0)
+    return probs
+
+
 class WTAC(torch.nn.Module):
     """Winner-Takes-All-Competition Layer.
 
@@ -63,3 +81,13 @@ class KNNC(torch.nn.Module):
 
     def extra_repr(self):
         return f"k: {self.k}"
+
+
+class CBCC(torch.nn.Module):
+    """Classification-By-Components Competition.
+
+    Thin wrapper over the `cbcc` function.
+
+    """
+    def forward(self, detections, reasonings):
+        return cbcc(detections, reasonings)
diff --git a/prototorch/core/components.py b/prototorch/core/components.py
index f1694ab..d497cdf 100644
--- a/prototorch/core/components.py
+++ b/prototorch/core/components.py
@@ -13,6 +13,7 @@ from .initializers import (
     AbstractLabelsInitializer,
     AbstractReasoningsInitializer,
     LabelsInitializer,
+    RandomReasoningsInitializer,
 )
 
 
@@ -112,7 +113,7 @@ class AbstractLabels(torch.nn.Module):
     """Abstract class for all labels modules."""
     @property
     def labels(self):
-        return self._labels
+        return self._labels.cpu()
 
     @property
     def num_labels(self):
@@ -174,6 +175,10 @@ class Labels(AbstractLabels):
         self._register_labels(_labels)
         return mask
 
+    def forward(self):
+        """Simply return the labels."""
+        return self._labels
+
 
 class LabeledComponents(AbstractComponents):
     """A set of adaptable components and corresponding unadaptable labels."""
@@ -188,11 +193,6 @@ class LabeledComponents(AbstractComponents):
         self.add_components(distribution, components_initializer,
                             labels_initializer)
 
-    @property
-    def labels(self):
-        """Tensor containing the component labels."""
-        return self._labels
-
     @property
     def distribution(self):
         unique, counts = torch.unique(self._labels,
@@ -200,6 +200,15 @@ class LabeledComponents(AbstractComponents):
                                       return_counts=True)
         return dict(zip(unique.tolist(), counts.tolist()))
 
+    @property
+    def num_classes(self):
+        return len(self.distribution.keys())
+
+    @property
+    def labels(self):
+        """Tensor containing the component labels."""
+        return self._labels.cpu()
+
     def _register_labels(self, labels):
         self.register_buffer("_labels", labels)
 
@@ -236,6 +245,64 @@ class LabeledComponents(AbstractComponents):
         return self._components, self._labels
 
 
+class Reasonings(torch.nn.Module):
+    """A set of standalone reasoning matrices.
+
+    The `reasonings` tensor is of shape [num_components, num_classes, 2].
+
+    """
+    def __init__(self,
+                 distribution: Union[dict, list, tuple],
+                 initializer:
+                 AbstractReasoningsInitializer = RandomReasoningsInitializer(),
+                 **kwargs):
+        super().__init__(**kwargs)
+
+    @property
+    def num_classes(self):
+        return self._reasonings.shape[1]
+
+    # @property
+    # def reasonings(self):
+    #     """Tensor containing the reasoning matrices."""
+    #     return self._reasonings.detach().cpu()
+
+    @property
+    def reasonings(self):
+        with torch.no_grad():
+            A, B = self._reasonings.permute(2, 1, 0).clamp(0, 1)
+            pk = A
+            nk = (1 - pk) * B
+            ik = 1 - pk - nk
+            img = torch.cat([pk, nk, ik], dim=0).permute(1, 0, 2)
+        return img.unsqueeze(1).cpu()
+
+    def _register_reasonings(self, reasonings):
+        self.register_buffer("_reasonings", reasonings)
+
+    def add_reasonings(
+        self,
+        distribution: Union[dict, list, tuple],
+        initializer:
+        AbstractReasoningsInitializer = RandomReasoningsInitializer()):
+        """Generate and add new reasonings."""
+        assert validate_initializer(initializer, AbstractReasoningsInitializer)
+        _reasonings, new_reasonings = gencat(self, "_reasonings", initializer,
+                                             distribution)
+        self._register_reasonings(_reasonings)
+        return new_reasonings
+
+    def remove_reasonings(self, indices):
+        """Remove reasonings at specified indices."""
+        _reasonings, mask = removeind(self, "_reasonings", indices)
+        self._register_reasonings(_reasonings)
+        return mask
+
+    def forward(self):
+        """Simply return the reasonings."""
+        return self._reasonings
+
+
 class ReasoningComponents(AbstractComponents):
     """A set of components and a corresponding adapatable reasoning matrices.
 
@@ -260,13 +327,8 @@ class ReasoningComponents(AbstractComponents):
                             reasonings_initializer)
 
     @property
-    def reasonings(self):
-        """Returns Reasoning Matrix.
-
-        Dimension NxCx2
-
-        """
-        return self._reasonings.detach().cpu()
+    def num_classes(self):
+        return self._reasonings.shape[1]
 
     def _register_reasonings(self, reasonings):
         self.register_parameter("_reasonings", Parameter(reasonings))