fix bug in gradient when some outputs of a node have different connection patterns

theano/gradient.py

@@ -602,31 +602,39 @@ def _populate_var_to_node_to_idx(outputs, wrt):
         respect to.
 
     returns:
-        var_to_node_to_idx: a dictionary mapping a variable to
-            a second dictionary.
-            the second dictionary maps apply nodes acting on
-            this variable to the variable's index in the apply
-            node's input list
+
+     var_to_app_to_idx:
+
+      A dictionary mapping a variable to a second dictionary.
+      The second dictionary maps apply nodes acting on this
+      variable to the variable's index in the apply node's
+      input list.
+
       This dictionary will only contain variables that
       meet two criteria:
+
        1) The elements of at least one output are a
           function of the elements of the variable
-                2) The elements of the variable are a function
-                   of the elements of at least one member of
-                   wrt
-            This set is exactly the set of variables that
-            connect the variables in wrt to the cost being
-            differentiated.
+
+       2) The elements of the variable are a function of the
+          elements of at least one member of wrt.
+
+      This set is exactly the set of variables that connect
+      the variables in wrt to the cost being differentiated.
 
     """
 
     # var_to_node_to_idx[var][node] = [i,j] means node has
     # var as input at positions i and j
-    var_to_node_to_idx = {}
-    # set of variables or nodes that have been added to their true parents
+    var_to_app_to_idx = {}
+
+    # Set of variables that have been added to their true parents
     # ('true' here means that the elements of the variable are a function
     #  of the elements of the parent, according to the op's
     #  connection_pattern)
+    # Note: we need to revisit the apply nodes repeatedly, because
+    #       different outputs of the apply node are connected to
+    #       different subsets of the inputs.
     accounted_for = set([])
 
     def account_for(var):
@@ -634,27 +642,25 @@ def _populate_var_to_node_to_idx(outputs, wrt):
             return
         accounted_for.add(var)
         if var.owner is not None:
-            node = var.owner
-            if node not in accounted_for:
-                accounted_for.add(node)
+            app = var.owner
 
-                connection_pattern = _node_to_pattern(node)
+            connection_pattern = _node_to_pattern(app)
 
-                var_idx = node.outputs.index(var)
+            var_idx = app.outputs.index(var)
 
-                for i, ipt in enumerate(node.inputs):
+            for i, ipt in enumerate(app.inputs):
 
                 #don't process ipt if it is not a true
                 #parent of var
                 if not connection_pattern[i][var_idx]:
                     continue
 
-                    if ipt not in var_to_node_to_idx:
-                        var_to_node_to_idx[ipt] = {}
-                    node_to_idx = var_to_node_to_idx[ipt]
-                    if node not in node_to_idx:
-                        node_to_idx[node] = []
-                    idx = node_to_idx[node]
+                if ipt not in var_to_app_to_idx:
+                    var_to_app_to_idx[ipt] = {}
+                app_to_idx = var_to_app_to_idx[ipt]
+                if app not in app_to_idx:
+                    app_to_idx[app] = []
+                idx = app_to_idx[app]
                 assert i not in idx
                 idx.append(i)
                 account_for(ipt)
@@ -671,10 +677,10 @@ def _populate_var_to_node_to_idx(outputs, wrt):
     def visit(var):
         if var in visited:
             return
-        if var not in var_to_node_to_idx:
+        if var not in var_to_app_to_idx:
             return
         visited.add(var)
-        nodes = var_to_node_to_idx[var]
+        nodes = var_to_app_to_idx[var]
         for node in nodes:
             connection_pattern = _node_to_pattern(node)
             for idx in nodes[node]:
@@ -686,12 +692,12 @@ def _populate_var_to_node_to_idx(outputs, wrt):
         visit(elem)
 
     # Remove variables that don't have wrt as a true ancestor
-    orig_vars = list(var_to_node_to_idx.keys())
+    orig_vars = list(var_to_app_to_idx.keys())
     for var in orig_vars:
         if var not in visited:
-            del var_to_node_to_idx[var]
+            del var_to_app_to_idx[var]
 
-    return var_to_node_to_idx
+    return var_to_app_to_idx
 
 
 def _populate_grad_dict(var_to_node_to_idx,