////////////////////////////////////////////////
// collect in rTupleList all unshielded tuples
////////////////////////////////////////////////
private List<Node[]> getRTuples() {
List<Node[]> rTuples = new ArrayList<Node[]>();
List<Node> nodes = graph.getNodes();
for (Node j : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(j);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node i = adjacentNodes.get(combination[0]);
Node k = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (!graph.isAdjacentTo(i, k)) {
Node[] newTuple = {i, j, k};
rTuples.add(newTuple);
}
}
}
return (rTuples);
}
private boolean existsUnblockedSemiDirectedPath(Node from, Node to, List<Node> cond, Graph G) {
Queue<Node> Q = new LinkedList<Node>();
Set<Node> V = new HashSet<Node>();
Q.offer(from);
V.add(from);
while (!Q.isEmpty()) {
Node t = Q.remove();
if (t == to) return true;
for (Node u : G.getAdjacentNodes(t)) {
Edge edge = G.getEdge(t, u);
Node c = Edges.traverseSemiDirected(t, edge);
if (c == null) continue;
if (cond.contains(c)) continue;
if (c == to) return true;
if (!V.contains(c)) {
V.add(c);
Q.offer(c);
}
}
}
return false;
}
public List<Triple> getUnshieldedCollidersFromGraph(Graph graph) {
List<Triple> colliders = new ArrayList<>();
List<Node> nodes = graph.getNodes();
for (Node b : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(b);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node a = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(a, c)) {
continue;
}
if (graph.isDefCollider(a, b, c)) {
colliders.add(new Triple(a, b, c));
}
}
}
return colliders;
}
private static int shortestPath(Node n1, Node n2, Graph g) {
Queue<Node> Q = new ArrayDeque<Node>();
Map<Node, Node> V = new HashMap<Node, Node>();
Q.offer(n1);
V.put(n1, null);
while (!Q.isEmpty()) {
Node m = Q.poll();
if (V.containsKey(n2)) break;
for (Node p : g.getAdjacentNodes(m)) {
if (V.containsKey(p)) continue;
Q.offer(p);
V.put(p, m);
}
}
int s = 0;
do {
s++;
n2 = V.get(n2);
} while (n2 != null);
return s;
}
/**
* Step C of PC; orients colliders using specified sepset. That is, orients x *-* y *-* z as x *->
* y <-* z just in case y is in Sepset({x, z}).
*/
public Map<Triple, Double> findCollidersUsingSepsets(
SepsetProducer sepsetProducer, Graph graph, boolean verbose, IKnowledge knowledge) {
TetradLogger.getInstance().log("details", "Starting Collider Orientation:");
Map<Triple, Double> colliders = new HashMap<>();
System.out.println("Looking for colliders");
List<Node> nodes = graph.getNodes();
for (Node b : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(b);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node a = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(a, c)) {
continue;
}
List<Node> sepset = sepsetProducer.getSepset(a, c);
if (sepset == null) continue;
// if (sepsetProducer.getPValue() < 0.5) continue;
if (!sepset.contains(b)) {
if (verbose) {
// boolean dsep = this.dsep.isIndependent(a, c);
// System.out.println("QQQ p = " + independenceTest.getPValue() +
// " " + dsep);
System.out.println(
"\nCollider orientation <" + a + ", " + b + ", " + c + "> sepset = " + sepset);
}
colliders.put(new Triple(a, b, c), sepsetProducer.getPValue());
TetradLogger.getInstance()
.log("colliderOrientations", SearchLogUtils.colliderOrientedMsg(a, b, c, sepset));
}
}
}
TetradLogger.getInstance().log("details", "Finishing Collider Orientation.");
System.out.println("Done finding colliders");
return colliders;
}
public static boolean meekR1Locally2(
Graph graph, Knowledge knowledge, IndependenceTest test, int depth) {
List<Node> nodes = graph.getNodes();
boolean changed = true;
while (changed) {
changed = false;
for (Node a : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(a);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node b = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(b, c)) {
continue;
}
if (graph.getEndpoint(b, a) == Endpoint.ARROW && graph.isUndirectedFromTo(a, c)) {
if (existsLocalSepsetWithoutDet(b, a, c, test, graph, depth)) {
continue;
}
if (isArrowpointAllowed(a, c, knowledge)) {
graph.setEndpoint(a, c, Endpoint.ARROW);
TetradLogger.getInstance()
.edgeOriented(SearchLogUtils.edgeOrientedMsg("Meek R1", graph.getEdge(a, c)));
changed = true;
}
} else if (graph.getEndpoint(c, a) == Endpoint.ARROW && graph.isUndirectedFromTo(a, b)) {
if (existsLocalSepsetWithoutDet(b, a, c, test, graph, depth)) {
continue;
}
if (isArrowpointAllowed(a, b, knowledge)) {
graph.setEndpoint(a, b, Endpoint.ARROW);
TetradLogger.getInstance()
.edgeOriented(SearchLogUtils.edgeOrientedMsg("Meek R1", graph.getEdge(a, b)));
changed = true;
}
}
}
}
}
return changed;
}
/**
* Performs step C of the algorithm, as indicated on page xxx of CPS, with the modification that
* X--W--Y is oriented as X-->W<--Y if W is *determined by* the sepset of (X, Y), rather than W
* just being *in* the sepset of (X, Y).
*/
public static void pcdOrientC(
SepsetMap set, IndependenceTest test, Knowledge knowledge, Graph graph) {
TetradLogger.getInstance().log("info", "Staring Collider Orientation:");
List<Node> nodes = graph.getNodes();
for (Node y : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(y);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node x = adjacentNodes.get(combination[0]);
Node z = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(x, z)) {
continue;
}
List<Node> sepset = set.get(x, z);
if (sepset == null) {
continue;
}
List<Node> augmentedSet = new LinkedList<Node>(sepset);
augmentedSet.add(y);
if (test.determines(sepset, y)) {
continue;
}
//
if (!test.splitDetermines(sepset, x, z) && test.splitDetermines(augmentedSet, x, z)) {
continue;
}
if (!isArrowpointAllowed(x, y, knowledge) || !isArrowpointAllowed(z, y, knowledge)) {
continue;
}
graph.setEndpoint(x, y, Endpoint.ARROW);
graph.setEndpoint(z, y, Endpoint.ARROW);
TetradLogger.getInstance()
.log("colliderOriented", SearchLogUtils.colliderOrientedMsg(x, y, z));
}
}
TetradLogger.getInstance().log("info", "Finishing Collider Orientation.");
}
/**
* Returns the set of nodes reachable from the given set of initial nodes in the given graph
* according to the criteria in the given legal pairs object.
*
* <p>A variable V is reachable from initialNodes iff for some variable X in initialNodes thers is
* a path U [X, Y1, ..., V] such that legalPairs.isLegalFirstNode(X, Y1) and for each [H1, H2, H3]
* as subpaths of U, legalPairs.isLegalPairs(H1, H2, H3).
*
* <p>The algorithm used is a variant of Algorithm 1 from Geiger, Verma, & Pearl (1990).
*
* @param initialNodes The nodes that reachability paths start from.
* @param legalPairs Specifies initial edges (given initial nodes) and legal edge pairs.
* @param c a set of vertices (intuitively, the set of variables to be conditioned on.
* @param d a set of vertices (intuitively to be used in tests of legality, for example, the set
* of ancestors of c).
* @param graph the graph with respect to which reachability is determined.
*/
public static Set<Node> getReachableNodes(
List<Node> initialNodes, LegalPairs legalPairs, List<Node> c, List<Node> d, Graph graph) {
HashSet<Node> reachable = new HashSet<Node>();
MultiKeyMap visited = new MultiKeyMap();
List<ReachabilityEdge> nextEdges = new LinkedList<ReachabilityEdge>();
for (Node x : initialNodes) {
List<Node> adjX = graph.getAdjacentNodes(x);
for (Node y : adjX) {
if (legalPairs.isLegalFirstEdge(x, y)) {
reachable.add(y);
nextEdges.add(new ReachabilityEdge(x, y));
visited.put(x, y, Boolean.TRUE);
}
}
}
while (nextEdges.size() > 0) {
List<ReachabilityEdge> currEdges = nextEdges;
nextEdges = new LinkedList<ReachabilityEdge>();
for (ReachabilityEdge edge : currEdges) {
Node x = edge.getFrom();
Node y = edge.getTo();
List<Node> adjY = graph.getAdjacentNodes(y);
for (Node z : adjY) {
if ((visited.get(y, z)) == Boolean.TRUE) {
continue;
}
if (legalPairs.isLegalPair(x, y, z, c, d)) {
reachable.add(z);
nextEdges.add(new ReachabilityEdge(y, z));
visited.put(y, z, Boolean.TRUE);
}
}
}
}
return reachable;
}
private boolean localMarkovIndep(Node x, Node y, Graph pattern, IndependenceTest test) {
List<Node> future = pattern.getDescendants(Collections.singletonList(x));
List<Node> boundary = pattern.getAdjacentNodes(x);
boundary.removeAll(future);
List<Node> closure = new ArrayList<>(boundary);
closure.add(x);
closure.remove(y);
if (future.contains(y) || boundary.contains(y)) return false;
return test.isIndependent(x, y, boundary);
}
public static boolean existsLocalSepsetWithoutDet(
Node x, Node y, Node z, IndependenceTest test, Graph graph, int depth) {
Set<Node> __nodes = new HashSet<Node>(graph.getAdjacentNodes(x));
__nodes.addAll(graph.getAdjacentNodes(z));
__nodes.remove(x);
__nodes.remove(z);
List<Node> _nodes = new LinkedList<Node>(__nodes);
TetradLogger.getInstance()
.log("adjacencies", "Adjacents for " + x + "--" + y + "--" + z + " = " + _nodes);
int _depth = depth;
if (_depth == -1) {
_depth = 1000;
}
_depth = Math.min(_depth, _nodes.size());
for (int d = 0; d <= _depth; d++) {
if (_nodes.size() >= d) {
ChoiceGenerator cg2 = new ChoiceGenerator(_nodes.size(), d);
int[] choice;
while ((choice = cg2.next()) != null) {
List<Node> condSet = asList(choice, _nodes);
if (condSet.contains(y)) {
continue;
}
if (test.determines(condSet, y)) {
continue;
}
// LogUtils.getInstance().finest("Trying " + condSet);
if (test.isIndependent(x, z, condSet)) {
return true;
}
}
}
}
return false;
}
/** Meek's rule R3. If a--b, a--c, a--d, c-->b, c-->b, then orient a-->b. */
public static boolean meekR3(Graph graph, Knowledge knowledge) {
List<Node> nodes = graph.getNodes();
boolean changed = false;
for (Node a : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(a);
if (adjacentNodes.size() < 3) {
continue;
}
for (Node b : adjacentNodes) {
List<Node> otherAdjacents = new LinkedList<Node>(adjacentNodes);
otherAdjacents.remove(b);
if (!graph.isUndirectedFromTo(a, b)) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(otherAdjacents.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node c = otherAdjacents.get(combination[0]);
Node d = otherAdjacents.get(combination[1]);
if (graph.isAdjacentTo(c, d)) {
continue;
}
if (!graph.isUndirectedFromTo(a, c)) {
continue;
}
if (!graph.isUndirectedFromTo(a, d)) {
continue;
}
if (graph.isDirectedFromTo(c, b) && graph.isDirectedFromTo(d, b)) {
if (isArrowpointAllowed(a, b, knowledge)) {
graph.setEndpoint(a, b, Endpoint.ARROW);
TetradLogger.getInstance()
.edgeOriented(SearchLogUtils.edgeOrientedMsg("Meek R3", graph.getEdge(a, b)));
changed = true;
break;
}
}
}
}
}
return changed;
}
private void ruleR1(Graph skeleton, Graph graph, List<Node> nodes) {
for (Node node : nodes) {
SortedMap<Double, String> scoreReports = new TreeMap<Double, String>();
List<Node> adj = skeleton.getAdjacentNodes(node);
DepthChoiceGenerator gen = new DepthChoiceGenerator(adj.size(), adj.size());
int[] choice;
double maxScore = Double.NEGATIVE_INFINITY;
List<Node> parents = null;
while ((choice = gen.next()) != null) {
List<Node> _parents = GraphUtils.asList(choice, adj);
double score = score(node, _parents);
scoreReports.put(-score, _parents.toString());
if (score > maxScore) {
maxScore = score;
parents = _parents;
}
}
for (double score : scoreReports.keySet()) {
TetradLogger.getInstance()
.log(
"score",
"For " + node + " parents = " + scoreReports.get(score) + " score = " + -score);
}
TetradLogger.getInstance().log("score", "");
if (parents == null) {
continue;
}
if (normal(node, parents)) continue;
for (Node _node : adj) {
if (parents.contains(_node)) {
Edge parentEdge = Edges.directedEdge(_node, node);
if (!graph.containsEdge(parentEdge)) {
graph.addEdge(parentEdge);
}
}
}
}
}
/**
* Step C of PC; orients colliders using specified sepset. That is, orients x *-* y *-* z as x *->
* y <-* z just in case y is in Sepset({x, z}).
*/
public static void orientCollidersUsingSepsets(SepsetMap set, Knowledge knowledge, Graph graph) {
TetradLogger.getInstance().log("info", "Starting Collider Orientation:");
// verifySepsetIntegrity(set, graph);
List<Node> nodes = graph.getNodes();
for (Node a : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(a);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node b = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(b, c)) {
continue;
}
List<Node> sepset = set.get(b, c);
if (sepset != null
&& !sepset.contains(a)
&& isArrowpointAllowed(b, a, knowledge)
&& isArrowpointAllowed(c, a, knowledge)) {
graph.setEndpoint(b, a, Endpoint.ARROW);
graph.setEndpoint(c, a, Endpoint.ARROW);
TetradLogger.getInstance()
.log("colliderOriented", SearchLogUtils.colliderOrientedMsg(b, a, c, sepset));
}
}
}
TetradLogger.getInstance().log("info", "Finishing Collider Orientation.");
}
/** If */
public static boolean meekR2(Graph graph, Knowledge knowledge) {
List<Node> nodes = graph.getNodes();
boolean changed = false;
for (Node a : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(a);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node b = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
if (graph.isDirectedFromTo(b, a)
&& graph.isDirectedFromTo(a, c)
&& graph.isUndirectedFromTo(b, c)) {
if (isArrowpointAllowed(b, c, knowledge)) {
graph.setEndpoint(b, c, Endpoint.ARROW);
TetradLogger.getInstance()
.edgeOriented(SearchLogUtils.edgeOrientedMsg("Meek R2", graph.getEdge(b, c)));
}
} else if (graph.isDirectedFromTo(c, a)
&& graph.isDirectedFromTo(a, b)
&& graph.isUndirectedFromTo(c, b)) {
if (isArrowpointAllowed(c, b, knowledge)) {
graph.setEndpoint(c, b, Endpoint.ARROW);
TetradLogger.getInstance()
.edgeOriented(SearchLogUtils.edgeOrientedMsg("Meek R2", graph.getEdge(c, b)));
}
}
}
}
return changed;
}
public static void orientCollidersLocally(
Knowledge knowledge, Graph graph, IndependenceTest test, int depth, Set<Node> nodesToVisit) {
TetradLogger.getInstance().log("info", "Starting Collider Orientation:");
if (nodesToVisit == null) {
nodesToVisit = new HashSet<Node>(graph.getNodes());
}
for (Node a : nodesToVisit) {
List<Node> adjacentNodes = graph.getAdjacentNodes(a);
if (adjacentNodes.size() < 2) {
continue;
}
ChoiceGenerator cg = new ChoiceGenerator(adjacentNodes.size(), 2);
int[] combination;
while ((combination = cg.next()) != null) {
Node b = adjacentNodes.get(combination[0]);
Node c = adjacentNodes.get(combination[1]);
// Skip triples that are shielded.
if (graph.isAdjacentTo(b, c)) {
continue;
}
if (isArrowpointAllowed1(b, a, knowledge) && isArrowpointAllowed1(c, a, knowledge)) {
if (!existsLocalSepsetWith(b, a, c, test, graph, depth)) {
graph.setEndpoint(b, a, Endpoint.ARROW);
graph.setEndpoint(c, a, Endpoint.ARROW);
TetradLogger.getInstance()
.log("colliderOriented", SearchLogUtils.colliderOrientedMsg(b, a, c));
}
}
}
}
TetradLogger.getInstance().log("info", "Finishing Collider Orientation.");
}
////////////////////////////////////////////
// RFCI Algorithm 4.4 (Colombo et al, 2012)
// Orient colliders
////////////////////////////////////////////
private void ruleR0_RFCI(List<Node[]> rTuples) {
List<Node[]> lTuples = new ArrayList<Node[]>();
List<Node> nodes = graph.getNodes();
///////////////////////////////
// process tuples in rTuples
while (!rTuples.isEmpty()) {
Node[] thisTuple = rTuples.remove(0);
Node i = thisTuple[0];
Node j = thisTuple[1];
Node k = thisTuple[2];
final List<Node> nodes1 = getSepset(i, k);
if (nodes1 == null) continue;
List<Node> sepSet = new ArrayList<Node>(nodes1);
sepSet.remove(j);
boolean independent1 = false;
if (knowledge.noEdgeRequired(i.getName(), j.getName())) // if BK allows
{
try {
independent1 = independenceTest.isIndependent(i, j, sepSet);
} catch (Exception e) {
independent1 = true;
}
}
boolean independent2 = false;
if (knowledge.noEdgeRequired(j.getName(), k.getName())) // if BK allows
{
try {
independent2 = independenceTest.isIndependent(j, k, sepSet);
} catch (Exception e) {
independent2 = true;
}
}
if (!independent1 && !independent2) {
lTuples.add(thisTuple);
} else {
// set sepSets to minimal separating sets
if (independent1) {
setMinSepSet(sepSet, i, j);
graph.removeEdge(i, j);
}
if (independent2) {
setMinSepSet(sepSet, j, k);
graph.removeEdge(j, k);
}
// add new unshielded tuples to rTuples
for (Node thisNode : nodes) {
List<Node> adjacentNodes = graph.getAdjacentNodes(thisNode);
if (independent1) // <i, ., j>
{
if (adjacentNodes.contains(i) && adjacentNodes.contains(j)) {
Node[] newTuple = {i, thisNode, j};
rTuples.add(newTuple);
}
}
if (independent2) // <j, ., k>
{
if (adjacentNodes.contains(j) && adjacentNodes.contains(k)) {
Node[] newTuple = {j, thisNode, k};
rTuples.add(newTuple);
}
}
}
// remove tuples involving either (if independent1) <i, j>
// or (if independent2) <j, k> from rTuples
Iterator<Node[]> iter = rTuples.iterator();
while (iter.hasNext()) {
Node[] curTuple = iter.next();
if ((independent1 && (curTuple[1] == i) && ((curTuple[0] == j) || (curTuple[2] == j)))
|| (independent2 && (curTuple[1] == k) && ((curTuple[0] == j) || (curTuple[2] == j)))
|| (independent1 && (curTuple[1] == j) && ((curTuple[0] == i) || (curTuple[2] == i)))
|| (independent2
&& (curTuple[1] == j)
&& ((curTuple[0] == k) || (curTuple[2] == k)))) {
iter.remove();
}
}
// remove tuples involving either (if independent1) <i, j>
// or (if independent2) <j, k> from lTuples
iter = lTuples.iterator();
while (iter.hasNext()) {
Node[] curTuple = iter.next();
if ((independent1 && (curTuple[1] == i) && ((curTuple[0] == j) || (curTuple[2] == j)))
|| (independent2 && (curTuple[1] == k) && ((curTuple[0] == j) || (curTuple[2] == j)))
|| (independent1 && (curTuple[1] == j) && ((curTuple[0] == i) || (curTuple[2] == i)))
|| (independent2
&& (curTuple[1] == j)
&& ((curTuple[0] == k) || (curTuple[2] == k)))) {
iter.remove();
}
}
}
}
///////////////////////////////////////////////////////
// orient colliders (similar to original FCI ruleR0)
for (Node[] thisTuple : lTuples) {
Node i = thisTuple[0];
Node j = thisTuple[1];
Node k = thisTuple[2];
List<Node> sepset = getSepset(i, k);
if (sepset == null) {
continue;
}
if (!sepset.contains(j) && graph.isAdjacentTo(i, j) && graph.isAdjacentTo(j, k)) {
if (!isArrowpointAllowed(i, j)) {
continue;
}
if (!isArrowpointAllowed(k, j)) {
continue;
}
graph.setEndpoint(i, j, Endpoint.ARROW);
graph.setEndpoint(k, j, Endpoint.ARROW);
printWrongColliderMessage(i, j, k, "R0_RFCI");
}
}
}
public static CpcTripleType getCpcTripleType(
Node x, Node y, Node z, IndependenceTest test, int depth, Graph graph) {
// System.out.println("getCpcTripleType 1");
boolean existsSepsetContainingY = false;
boolean existsSepsetNotContainingY = false;
Set<Node> __nodes = new HashSet<Node>(graph.getAdjacentNodes(x));
__nodes.remove(z);
// System.out.println("getCpcTripleType 2");
List<Node> _nodes = new LinkedList<Node>(__nodes);
TetradLogger.getInstance()
.log("adjacencies", "Adjacents for " + x + "--" + y + "--" + z + " = " + _nodes);
// System.out.println("getCpcTripleType 3");
int _depth = depth;
if (_depth == -1) {
_depth = 1000;
}
_depth = Math.min(_depth, _nodes.size());
// System.out.println("getCpcTripleType 4");
for (int d = 0; d <= _depth; d++) {
// System.out.println("getCpcTripleType 5");
ChoiceGenerator cg = new ChoiceGenerator(_nodes.size(), d);
int[] choice;
while ((choice = cg.next()) != null) {
// System.out.println("getCpcTripleType 6");
List<Node> condSet = GraphUtils.asList(choice, _nodes);
// System.out.println("getCpcTripleType 7");
if (test.isIndependent(x, z, condSet)) {
if (condSet.contains(y)) {
existsSepsetContainingY = true;
} else {
existsSepsetNotContainingY = true;
}
}
}
}
// System.out.println("getCpcTripleType 8");
__nodes = new HashSet<Node>(graph.getAdjacentNodes(z));
__nodes.remove(x);
_nodes = new LinkedList<Node>(__nodes);
TetradLogger.getInstance()
.log("adjacencies", "Adjacents for " + x + "--" + y + "--" + z + " = " + _nodes);
// System.out.println("getCpcTripleType 9");
_depth = depth;
if (_depth == -1) {
_depth = 1000;
}
_depth = Math.min(_depth, _nodes.size());
// System.out.println("getCpcTripleType 10");
for (int d = 0; d <= _depth; d++) {
// System.out.println("getCpcTripleType 11");
ChoiceGenerator cg = new ChoiceGenerator(_nodes.size(), d);
int[] choice;
while ((choice = cg.next()) != null) {
List<Node> condSet = GraphUtils.asList(choice, _nodes);
if (test.isIndependent(x, z, condSet)) {
if (condSet.contains(y)) {
existsSepsetContainingY = true;
} else {
existsSepsetNotContainingY = true;
}
}
}
}
// System.out.println("getCpcTripleType 12");
if (existsSepsetContainingY == existsSepsetNotContainingY) {
return CpcTripleType.AMBIGUOUS;
} else if (!existsSepsetNotContainingY) {
return CpcTripleType.NONCOLLIDER;
} else {
return CpcTripleType.COLLIDER;
}
}
private void resolveOneEdgeMax(Graph graph, Node x, Node y, boolean strong, Graph oldGraph) {
if (RandomUtil.getInstance().nextDouble() > 0.5) {
Node temp = x;
x = y;
y = temp;
}
TetradLogger.getInstance().log("info", "\nEDGE " + x + " --- " + y);
SortedMap<Double, String> scoreReports = new TreeMap<Double, String>();
List<Node> neighborsx = graph.getAdjacentNodes(x);
neighborsx.remove(y);
double max = Double.NEGATIVE_INFINITY;
boolean left = false;
boolean right = false;
DepthChoiceGenerator genx = new DepthChoiceGenerator(neighborsx.size(), neighborsx.size());
int[] choicex;
while ((choicex = genx.next()) != null) {
List<Node> condxMinus = GraphUtils.asList(choicex, neighborsx);
List<Node> condxPlus = new ArrayList<Node>(condxMinus);
condxPlus.add(y);
double xPlus = score(x, condxPlus);
double xMinus = score(x, condxMinus);
List<Node> neighborsy = graph.getAdjacentNodes(y);
neighborsy.remove(x);
DepthChoiceGenerator geny = new DepthChoiceGenerator(neighborsy.size(), neighborsy.size());
int[] choicey;
while ((choicey = geny.next()) != null) {
List<Node> condyMinus = GraphUtils.asList(choicey, neighborsy);
// List<Node> parentsY = oldGraph.getParents(y);
// parentsY.remove(x);
// if (!condyMinus.containsAll(parentsY)) {
// continue;
// }
List<Node> condyPlus = new ArrayList<Node>(condyMinus);
condyPlus.add(x);
double yPlus = score(y, condyPlus);
double yMinus = score(y, condyMinus);
// Checking them all at once is expensive but avoids lexical ordering problems in the
// algorithm.
if (normal(y, condyPlus)
|| normal(x, condxMinus)
|| normal(x, condxPlus)
|| normal(y, condyMinus)) {
continue;
}
double delta = 0.0;
if (strong) {
if (yPlus <= xPlus + delta && xMinus <= yMinus + delta) {
double score = combinedScore(xPlus, yMinus);
if (yPlus <= yMinus + delta && xMinus <= xPlus + delta) {
StringBuilder builder = new StringBuilder();
builder.append("\nStrong " + y + "->" + x + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
if (score > max) {
max = score;
left = true;
right = false;
}
} else {
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
}
} else if (xPlus <= yPlus + delta && yMinus <= xMinus + delta) {
double score = combinedScore(yPlus, xMinus);
if (yMinus <= yPlus + delta && xPlus <= xMinus + delta) {
StringBuilder builder = new StringBuilder();
builder.append("\nStrong " + x + "->" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
if (score > max) {
max = score;
left = false;
right = true;
}
} else {
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
}
} else if (yPlus <= xPlus + delta && yMinus <= xMinus + delta) {
double score = combinedScore(yPlus, xMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
} else if (xPlus <= yPlus + delta && xMinus <= yMinus + delta) {
double score = combinedScore(yPlus, xMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
}
} else {
if (yPlus <= xPlus + delta && xMinus <= yMinus + delta) {
double score = combinedScore(xPlus, yMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nWeak " + y + "->" + x + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
if (score > max) {
max = score;
left = true;
right = false;
}
} else if (xPlus <= yPlus + delta && yMinus <= xMinus + delta) {
double score = combinedScore(yPlus, xMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nWeak " + x + "->" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
if (score > max) {
max = score;
left = false;
right = true;
}
} else if (yPlus <= xPlus + delta && yMinus <= xMinus + delta) {
double score = combinedScore(yPlus, xMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
} else if (xPlus <= yPlus + delta && xMinus <= yMinus + delta) {
double score = combinedScore(yPlus, xMinus);
StringBuilder builder = new StringBuilder();
builder.append("\nNo directed edge " + x + "--" + y + " " + score);
builder.append("\n Parents(" + x + ") = " + condxMinus);
builder.append("\n Parents(" + y + ") = " + condyMinus);
scoreReports.put(-score, builder.toString());
}
}
}
}
for (double score : scoreReports.keySet()) {
TetradLogger.getInstance().log("info", scoreReports.get(score));
}
graph.removeEdges(x, y);
if (left) {
graph.addDirectedEdge(y, x);
}
if (right) {
graph.addDirectedEdge(x, y);
}
if (!graph.isAdjacentTo(x, y)) {
graph.addUndirectedEdge(x, y);
}
}