diff --git a/GPy/core/parameterization/parameter_core.py b/GPy/core/parameterization/parameter_core.py
index d29c5244..876e4816 100644
--- a/GPy/core/parameterization/parameter_core.py
+++ b/GPy/core/parameterization/parameter_core.py
@@ -554,6 +554,11 @@ class Indexable(Nameable, Observable):
         plist = list(plist)
         plist.append(self)
         self._highest_parent_.ties.tie_together(plist)
+        
+    def untie(self, *plist):
+        plist = list(plist)
+        plist.append(self)
+        self._highest_parent_.ties.untie(plist)
 
     #===========================================================================
     # Constrain operations -> done
diff --git a/GPy/core/parameterization/parameterized.py b/GPy/core/parameterization/parameterized.py
index f2fd4a27..c5e40458 100644
--- a/GPy/core/parameterization/parameterized.py
+++ b/GPy/core/parameterization/parameterized.py
@@ -161,12 +161,11 @@ class Parameterized(Parameterizable):
                 parent.size += param.size
                 parent = parent._parent_
 
+            self._notify_parent_change()
+            self._highest_parent_._notify_parent_change()
             if not self._in_init_:
                 self._connect_parameters()
-                self._notify_parent_change()
-
                 self._highest_parent_._connect_parameters(ignore_added_names=_ignore_added_names)
-                self._highest_parent_._notify_parent_change()
                 self._highest_parent_._connect_fixes()
 
             if isinstance(param,Parameterized):
diff --git a/GPy/core/parameterization/ties_and_remappings.py b/GPy/core/parameterization/ties_and_remappings.py
index a068bfca..f36219b6 100644
--- a/GPy/core/parameterization/ties_and_remappings.py
+++ b/GPy/core/parameterization/ties_and_remappings.py
@@ -56,7 +56,7 @@ class Tie(Parameterized):
     1. Add the support for multiple parameter tie_together and tie_vector
     2. Properly handling parameters with constraints
     3. Properly handling the merging of two models [DONE]
-    4. Properly handling initialization
+    4. Properly handling initialization [DONE]
     
     """
     def __init__(self, name='Ties'):
@@ -102,7 +102,7 @@ class Tie(Parameterized):
             self._remove_unnecessary_ties()
             self._update_label_buf()
             self.updates = True
-        
+
     def _sync_val_group(self, plist):
         val = np.asarray([p.param_array for p in plist]).mean()
         def _set_val(p):
@@ -238,7 +238,6 @@ class Tie(Parameterized):
         self._update_label_buf()
         self.updates = True
         
-
     def _check_change(self):
         changed = False
         if self.tied_param is not None: