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def min_assoc(X, Y, Zs):
"Minimal association of X, Y given any subset of Zs."
return min(assoc(X, Y, Zs_subset) for Zs_subset in powerset(Zs))
neighbors[node] = []
# Forward Phase
while True:
new_neighbor, new_neighbor_min_assoc = max_min_heuristic(
node, neighbors[node]
)
if new_neighbor_min_assoc > 0:
neighbors[node].append(new_neighbor)
else:
break
# Backward Phase
for neigh in neighbors[node]:
other_neighbors = [n for n in neighbors[node] if n != neigh]
for sep_set in powerset(other_neighbors):
if self.test_conditional_independence(node, neigh, sep_set):
neighbors[node].remove(neigh)
break
# correct for false positives
for node in nodes:
for neigh in neighbors[node]:
if node not in neighbors[neigh]:
neighbors[node].remove(neigh)
skel = UndirectedGraph()
skel.add_nodes_from(nodes)
for node in nodes:
skel.add_edges_from([(node, neigh) for neigh in neighbors[node]])
return skel
[('Weather', 'Humidity'), ('Weather', 'Temperature'), ('Temperature', 'Humidity')]]
"""
if nodes is None:
nodes = sorted(self.state_names.keys())
if len(nodes) > 6:
warn("Generating all DAGs of n nodes likely not feasible for n>6!")
warn(
"Attempting to search through {0} graphs".format(
2 ** (len(nodes) * (len(nodes) - 1))
)
)
edges = list(combinations(nodes, 2)) # n*(n-1) possible directed edges
edges.extend([(y, x) for x, y in edges])
all_graphs = powerset(edges) # 2^(n*(n-1)) graphs
for graph_edges in all_graphs:
graph = nx.DiGraph()
graph.add_nodes_from(nodes)
graph.add_edges_from(graph_edges)
if nx.is_directed_acyclic_graph(graph):
yield graph