/// <summary>
/// Recursively builds an answer lattice (Chinese words) from a Viterbi search graph
/// of binary predictions.
/// </summary>
/// <remarks>
/// Recursively builds an answer lattice (Chinese words) from a Viterbi search graph
/// of binary predictions. This function does a limited amount of post-processing:
/// preserve white spaces of the input, and not segment between two latin characters or
/// between two digits. Consequently, the probabilities of all paths in answerLattice
/// may not sum to 1 (they do sum to 1 if no post processing applies).
/// </remarks>
/// <param name="tSource">Current node in Viterbi search graph.</param>
/// <param name="aSource">Current node in answer lattice.</param>
/// <param name="answer">Partial word starting at aSource.</param>
/// <param name="nodeId">Currently unused node identifier for answer graph.</param>
/// <param name="pos">Current position in docArray.</param>
/// <param name="cost">Current cost of answer.</param>
/// <param name="stateLinks">
/// Maps nodes of the search graph to nodes in answer lattice
/// (when paths of the search graph are recombined, paths of the answer lattice should be
/// recombined as well, if at word boundary).
/// </param>
private void TagLatticeToAnswerLattice(DFSAState <string, int> tSource, DFSAState <string, int> aSource, StringBuilder answer, MutableInteger nodeId, int pos, double cost, IDictionary <DFSAState <string, int>, DFSAState <string, int> > stateLinks,
DFSA <string, int> answerLattice, CoreLabel[] docArray)
{
// Add "1" prediction after the end of the sentence, if applicable:
if (tSource.IsAccepting() && tSource.ContinuingInputs().IsEmpty())
{
tSource.AddTransition(new DFSATransition <string, int>(string.Empty, tSource, new DFSAState <string, int>(-1, null), "1", string.Empty, 0));
}
// Get current label, character, and prediction:
CoreLabel curLabel = (pos < docArray.Length) ? docArray[pos] : null;
string curChr = null;
string origSpace = null;
if (curLabel != null)
{
curChr = curLabel.Get(typeof(CoreAnnotations.OriginalCharAnnotation));
System.Diagnostics.Debug.Assert((curChr.Length == 1));
origSpace = curLabel.Get(typeof(CoreAnnotations.SpaceBeforeAnnotation));
}
// Get set of successors in search graph:
ICollection <string> inputs = tSource.ContinuingInputs();
// Only keep most probable transition out of initial state:
string answerConstraint = null;
if (pos == 0)
{
double minCost = double.PositiveInfinity;
// DFSATransition<String, Integer> bestTransition = null;
foreach (string predictSpace in inputs)
{
DFSATransition <string, int> transition = tSource.Transition(predictSpace);
double transitionCost = transition.Score();
if (transitionCost < minCost)
{
if (predictSpace != null)
{
logger.Info(string.Format("mincost (%s): %e -> %e%n", predictSpace, minCost, transitionCost));
minCost = transitionCost;
answerConstraint = predictSpace;
}
}
}
}
// Follow along each transition:
foreach (string predictSpace_1 in inputs)
{
DFSATransition <string, int> transition = tSource.Transition(predictSpace_1);
DFSAState <string, int> tDest = transition.Target();
DFSAState <string, int> newASource = aSource;
//logger.info(String.format("tsource=%s tdest=%s asource=%s pos=%d predictSpace=%s%n", tSource, tDest, newASource, pos, predictSpace));
StringBuilder newAnswer = new StringBuilder(answer.ToString());
int answerLen = newAnswer.Length;
string prevChr = (answerLen > 0) ? newAnswer.Substring(answerLen - 1) : null;
double newCost = cost;
// Ignore paths starting with zero:
if (answerConstraint != null && !answerConstraint.Equals(predictSpace_1))
{
logger.Info(string.Format("Skipping transition %s at pos 0.%n", predictSpace_1));
continue;
}
// Ignore paths not consistent with input segmentation:
if (flags.keepAllWhitespaces && "0".Equals(predictSpace_1) && "1".Equals(origSpace))
{
logger.Info(string.Format("Skipping non-boundary at pos %d, since space in the input.%n", pos));
continue;
}
// Ignore paths adding segment boundaries between two latin characters, or between two digits:
// (unless already present in original input)
if ("1".Equals(predictSpace_1) && "0".Equals(origSpace) && prevChr != null && curChr != null)
{
char p = prevChr[0];
char c = curChr[0];
if (ChineseStringUtils.IsLetterASCII(p) && ChineseStringUtils.IsLetterASCII(c))
{
logger.Info(string.Format("Not hypothesizing a boundary at pos %d, since between two ASCII letters (%s and %s).%n", pos, prevChr, curChr));
continue;
}
if (ChineseUtils.IsNumber(p) && ChineseUtils.IsNumber(c))
{
logger.Info(string.Format("Not hypothesizing a boundary at pos %d, since between two numeral characters (%s and %s).%n", pos, prevChr, curChr));
continue;
}
}
// If predictSpace==1, create a new transition in answer search graph:
if ("1".Equals(predictSpace_1))
{
if (newAnswer.ToString().Length > 0)
{
// If answer destination node visited before, create a new edge and leave:
if (stateLinks.Contains(tSource))
{
DFSAState <string, int> aDest = stateLinks[tSource];
newASource.AddTransition(new DFSATransition <string, int>(string.Empty, newASource, aDest, newAnswer.ToString(), string.Empty, newCost));
//logger.info(String.format("new transition: asource=%s adest=%s edge=%s%n", newASource, aDest, newAnswer));
continue;
}
// If answer destination node not visited before, create it + new edge:
nodeId.IncValue(1);
DFSAState <string, int> aDest_1 = new DFSAState <string, int>(nodeId, answerLattice, 0.0);
stateLinks[tSource] = aDest_1;
newASource.AddTransition(new DFSATransition <string, int>(string.Empty, newASource, aDest_1, newAnswer.ToString(), string.Empty, newCost));
//logger.info(String.format("new edge: adest=%s%n", newASource, aDest, newAnswer));
//logger.info(String.format("new transition: asource=%s adest=%s edge=%s%n%n%n", newASource, aDest, newAnswer));
// Reached an accepting state:
if (tSource.IsAccepting())
{
aDest_1.SetAccepting(true);
continue;
}
// Start new answer edge:
newASource = aDest_1;
newAnswer = new StringBuilder();
newCost = 0.0;
}
}
System.Diagnostics.Debug.Assert((curChr != null));
newAnswer.Append(curChr);
newCost += transition.Score();
if (newCost < flags.searchGraphPrune || ChineseStringUtils.IsLetterASCII(curChr[0]))
{
TagLatticeToAnswerLattice(tDest, newASource, newAnswer, nodeId, pos + 1, newCost, stateLinks, answerLattice, docArray);
}
}
}
public static DFSA <string, int> GetGraph(ISequenceModel ts, IIndex <string> classIndex)
{
DFSA <string, int> viterbiSearchGraph = new DFSA <string, int>(null);
// Set up tag options
int length = ts.Length();
int leftWindow = ts.LeftWindow();
int rightWindow = ts.RightWindow();
System.Diagnostics.Debug.Assert((rightWindow == 0));
int padLength = length + leftWindow + rightWindow;
// NOTE: tags[i][j] : i is index into pos, and j into product
int[][] tags = new int[padLength][];
int[] tagNum = new int[padLength];
for (int pos = 0; pos < padLength; pos++)
{
tags[pos] = ts.GetPossibleValues(pos);
tagNum[pos] = tags[pos].Length;
}
// Set up Viterbi search graph:
DFSAState <string, int>[][] graphStates = null;
DFSAState <string, int> startState = null;
DFSAState <string, int> endState = null;
if (viterbiSearchGraph != null)
{
int stateId = -1;
startState = new DFSAState <string, int>(++stateId, viterbiSearchGraph, 0.0);
viterbiSearchGraph.SetInitialState(startState);
graphStates = new DFSAState[length][];
for (int pos_1 = 0; pos_1 < length; ++pos_1)
{
//System.err.printf("%d states at pos %d\n",tags[pos].length,pos);
graphStates[pos_1] = new DFSAState[tags[pos_1].Length];
for (int product = 0; product < tags[pos_1].Length; ++product)
{
graphStates[pos_1][product] = new DFSAState <string, int>(++stateId, viterbiSearchGraph);
}
}
// Accepting state:
endState = new DFSAState <string, int>(++stateId, viterbiSearchGraph, 0.0);
endState.SetAccepting(true);
}
int[] tempTags = new int[padLength];
// Set up product space sizes
int[] productSizes = new int[padLength];
int curProduct = 1;
for (int i = 0; i < leftWindow; i++)
{
curProduct *= tagNum[i];
}
for (int pos_2 = leftWindow; pos_2 < padLength; pos_2++)
{
if (pos_2 > leftWindow + rightWindow)
{
curProduct /= tagNum[pos_2 - leftWindow - rightWindow - 1];
}
// shift off
curProduct *= tagNum[pos_2];
// shift on
productSizes[pos_2 - rightWindow] = curProduct;
}
double[][] windowScore = new double[padLength][];
// Score all of each window's options
for (int pos_3 = leftWindow; pos_3 < leftWindow + length; pos_3++)
{
windowScore[pos_3] = new double[productSizes[pos_3]];
Arrays.Fill(tempTags, tags[0][0]);
for (int product = 0; product < productSizes[pos_3]; product++)
{
int p = product;
int shift = 1;
for (int curPos = pos_3; curPos >= pos_3 - leftWindow; curPos--)
{
tempTags[curPos] = tags[curPos][p % tagNum[curPos]];
p /= tagNum[curPos];
if (curPos > pos_3)
{
shift *= tagNum[curPos];
}
}
if (tempTags[pos_3] == tags[pos_3][0])
{
// get all tags at once
double[] scores = ts.ScoresOf(tempTags, pos_3);
// fill in the relevant windowScores
for (int t = 0; t < tagNum[pos_3]; t++)
{
windowScore[pos_3][product + t * shift] = scores[t];
}
}
}
}
// loop over the classification spot
for (int pos_4 = leftWindow; pos_4 < length + leftWindow; pos_4++)
{
// loop over window product types
for (int product = 0; product < productSizes[pos_4]; product++)
{
if (pos_4 == leftWindow)
{
// all nodes in the first spot link to startState:
int curTag = tags[pos_4][product % tagNum[pos_4]];
//System.err.printf("pos=%d, product=%d, tag=%d score=%.3f\n",pos,product,curTag,windowScore[pos][product]);
DFSATransition <string, int> tr = new DFSATransition <string, int>(string.Empty, startState, graphStates[pos_4][product], classIndex.Get(curTag), string.Empty, -windowScore[pos_4][product]);
startState.AddTransition(tr);
}
else
{
int sharedProduct = product / tagNum[pos_4 + rightWindow];
int factor = productSizes[pos_4] / tagNum[pos_4 + rightWindow];
for (int newTagNum = 0; newTagNum < tagNum[pos_4 - leftWindow - 1]; newTagNum++)
{
int predProduct = newTagNum * factor + sharedProduct;
int predTag = tags[pos_4 - 1][predProduct % tagNum[pos_4 - 1]];
int curTag = tags[pos_4][product % tagNum[pos_4]];
//log.info("pos: "+pos);
//log.info("product: "+product);
//System.err.printf("pos=%d-%d, product=%d-%d, tag=%d-%d score=%.3f\n",pos-1,pos,predProduct,product,predTag,curTag,
// windowScore[pos][product]);
DFSAState <string, int> sourceState = graphStates[pos_4 - leftWindow][predTag];
DFSAState <string, int> destState = (pos_4 - leftWindow + 1 == graphStates.Length) ? endState : graphStates[pos_4 - leftWindow + 1][curTag];
DFSATransition <string, int> tr = new DFSATransition <string, int>(string.Empty, sourceState, destState, classIndex.Get(curTag), string.Empty, -windowScore[pos_4][product]);
graphStates[pos_4 - leftWindow][predTag].AddTransition(tr);
}
}
}
}
return(viterbiSearchGraph);
}
