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package phrase;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.concurrent.ExecutionException;
import java.util.concurrent.ExecutorService;
import java.util.concurrent.Future;
import optimization.gradientBasedMethods.ProjectedGradientDescent;
import optimization.gradientBasedMethods.ProjectedObjective;
import optimization.gradientBasedMethods.stats.OptimizerStats;
import optimization.linesearch.ArmijoLineSearchMinimizationAlongProjectionArc;
import optimization.linesearch.InterpolationPickFirstStep;
import optimization.linesearch.LineSearchMethod;
import optimization.projections.SimplexProjection;
import optimization.stopCriteria.CompositeStopingCriteria;
import optimization.stopCriteria.ProjectedGradientL2Norm;
import optimization.stopCriteria.StopingCriteria;
import optimization.stopCriteria.ValueDifference;
import optimization.util.MathUtils;
import phrase.Corpus.Edge;
public class PhraseContextObjective extends ProjectedObjective
{
private static final double GRAD_DIFF = 0.00002;
private static double INIT_STEP_SIZE = 300;
private static double VAL_DIFF = 1e-4; // FIXME needs to be tuned
private static int ITERATIONS = 100;
private PhraseCluster c;
// un-regularized unnormalized posterior, p[edge][tag]
// P(tag|edge) \propto P(tag|phrase)P(context|tag)
private double p[][];
// regularized unnormalized posterior
// q[edge][tag] propto p[edge][tag]*exp(-lambda)
private double q[][];
private List<Corpus.Edge> data;
// log likelihood under q
private double loglikelihood;
private SimplexProjection projectionPhrase;
private SimplexProjection projectionContext;
double[] newPoint;
private int n_param;
// likelihood under p
public double llh;
private Map<Corpus.Edge, Integer> edgeIndex;
private long projectionTime;
private long objectiveTime;
private long actualProjectionTime;
private ExecutorService pool;
public PhraseContextObjective(PhraseCluster cluster, double[] startingParameters, ExecutorService pool)
{
c=cluster;
data=c.c.getEdges();
n_param=data.size()*c.K*2;
this.pool=pool;
parameters = startingParameters;
if (parameters == null)
parameters = new double[n_param];
newPoint = new double[n_param];
gradient = new double[n_param];
initP();
projectionPhrase = new SimplexProjection(c.scalePT);
projectionContext = new SimplexProjection(c.scaleCT);
q=new double [data.size()][c.K];
edgeIndex = new HashMap<Edge, Integer>();
for (int e=0; e<data.size(); e++)
edgeIndex.put(data.get(e), e);
setParameters(parameters);
}
private void initP(){
p=new double[data.size()][];
for(int edge=0;edge<data.size();edge++)
{
p[edge]=c.posterior(data.get(edge));
llh += data.get(edge).getCount() * Math.log(arr.F.l1norm(p[edge]));
arr.F.l1normalize(p[edge]);
}
}
@Override
public void setParameters(double[] params) {
//System.out.println("setParameters " + Arrays.toString(parameters));
// TODO: test if params have changed and skip update otherwise
super.setParameters(params);
updateFunction();
}
private void updateFunction()
{
updateCalls++;
loglikelihood=0;
long begin = System.currentTimeMillis();
for (int e=0; e<data.size(); e++)
{
Edge edge = data.get(e);
int offset = edgeIndex.get(edge)*c.K*2;
for(int tag=0; tag<c.K; tag++)
{
int ip = offset + tag*2;
int ic = ip + 1;
q[e][tag] = p[e][tag]*
Math.exp((-parameters[ip]-parameters[ic]) / edge.getCount());
}
}
for(int edge=0;edge<data.size();edge++){
loglikelihood+=data.get(edge).getCount() * Math.log(arr.F.l1norm(q[edge]));
arr.F.l1normalize(q[edge]);
}
for (int e=0; e<data.size(); e++)
{
Edge edge = data.get(e);
int offset = edgeIndex.get(edge)*c.K*2;
for(int tag=0; tag<c.K; tag++)
{
int ip = offset + tag*2;
int ic = ip + 1;
gradient[ip]=-q[e][tag];
gradient[ic]=-q[e][tag];
}
}
//System.out.println("objective " + loglikelihood + " gradient: " + Arrays.toString(gradient));
objectiveTime += System.currentTimeMillis() - begin;
}
@Override
public double[] projectPoint(double[] point)
{
long begin = System.currentTimeMillis();
List<Future<?>> tasks = new ArrayList<Future<?>>();
//System.out.println("projectPoint: " + Arrays.toString(point));
Arrays.fill(newPoint, 0, newPoint.length, 0);
if (c.scalePT > 0)
{
// first project using the phrase-tag constraints,
// for all p,t: sum_c lambda_ptc < scaleP
if (pool == null)
{
for (int p = 0; p < c.c.getNumPhrases(); ++p)
{
List<Edge> edges = c.c.getEdgesForPhrase(p);
double[] toProject = new double[edges.size()];
for(int tag=0;tag<c.K;tag++)
{
for(int e=0; e<edges.size(); e++)
toProject[e] = point[index(edges.get(e), tag, true)];
long lbegin = System.currentTimeMillis();
projectionPhrase.project(toProject);
actualProjectionTime += System.currentTimeMillis() - lbegin;
for(int e=0; e<edges.size(); e++)
newPoint[index(edges.get(e), tag, true)] = toProject[e];
}
}
}
else // do above in parallel using thread pool
{
for (int p = 0; p < c.c.getNumPhrases(); ++p)
{
final int phrase = p;
final double[] inPoint = point;
Runnable task = new Runnable()
{
public void run()
{
List<Edge> edges = c.c.getEdgesForPhrase(phrase);
double toProject[] = new double[edges.size()];
for(int tag=0;tag<c.K;tag++)
{
for(int e=0; e<edges.size(); e++)
toProject[e] = inPoint[index(edges.get(e), tag, true)];
projectionPhrase.project(toProject);
for(int e=0; e<edges.size(); e++)
newPoint[index(edges.get(e), tag, true)] = toProject[e];
}
}
};
tasks.add(pool.submit(task));
}
}
}
//System.out.println("after PT " + Arrays.toString(newPoint));
if (c.scaleCT > 1e-6)
{
// now project using the context-tag constraints,
// for all c,t: sum_p omega_pct < scaleC
if (pool == null)
{
for (int ctx = 0; ctx < c.c.getNumContexts(); ++ctx)
{
List<Edge> edges = c.c.getEdgesForContext(ctx);
double toProject[] = new double[edges.size()];
for(int tag=0;tag<c.K;tag++)
{
for(int e=0; e<edges.size(); e++)
toProject[e] = point[index(edges.get(e), tag, false)];
long lbegin = System.currentTimeMillis();
projectionContext.project(toProject);
actualProjectionTime += System.currentTimeMillis() - lbegin;
for(int e=0; e<edges.size(); e++)
newPoint[index(edges.get(e), tag, false)] = toProject[e];
}
}
}
else
{
// do above in parallel using thread pool
for (int ctx = 0; ctx < c.c.getNumContexts(); ++ctx)
{
final int context = ctx;
final double[] inPoint = point;
Runnable task = new Runnable()
{
public void run()
{
List<Edge> edges = c.c.getEdgesForContext(context);
double toProject[] = new double[edges.size()];
for(int tag=0;tag<c.K;tag++)
{
for(int e=0; e<edges.size(); e++)
toProject[e] = inPoint[index(edges.get(e), tag, false)];
projectionContext.project(toProject);
for(int e=0; e<edges.size(); e++)
newPoint[index(edges.get(e), tag, false)] = toProject[e];
}
}
};
tasks.add(pool.submit(task));
}
}
}
if (pool != null)
{
// wait for all the jobs to complete
Exception failure = null;
for (Future<?> task: tasks)
{
try {
task.get();
} catch (InterruptedException e) {
System.err.println("ERROR: Projection thread interrupted");
e.printStackTrace();
failure = e;
} catch (ExecutionException e) {
System.err.println("ERROR: Projection thread died");
e.printStackTrace();
failure = e;
}
}
// rethrow the exception
if (failure != null)
throw new RuntimeException(failure);
}
double[] tmp = newPoint;
newPoint = point;
projectionTime += System.currentTimeMillis() - begin;
//System.out.println("\treturning " + Arrays.toString(tmp));
return tmp;
}
private int index(Edge edge, int tag, boolean phrase)
{
// NB if indexing changes must also change code in updateFunction and constructor
if (phrase)
return edgeIndex.get(edge)*c.K*2 + tag*2;
else
return edgeIndex.get(edge)*c.K*2 + tag*2 + 1;
}
@Override
public double[] getGradient() {
gradientCalls++;
return gradient;
}
@Override
public double getValue() {
functionCalls++;
return loglikelihood;
}
@Override
public String toString() {
return "No need for pointless toString";
}
public double []posterior(int edgeIndex){
return q[edgeIndex];
}
public double[] optimizeWithProjectedGradientDescent()
{
projectionTime = 0;
actualProjectionTime = 0;
objectiveTime = 0;
long start = System.currentTimeMillis();
LineSearchMethod ls =
new ArmijoLineSearchMinimizationAlongProjectionArc
(new InterpolationPickFirstStep(INIT_STEP_SIZE));
//LineSearchMethod ls = new WolfRuleLineSearch(
// (new InterpolationPickFirstStep(INIT_STEP_SIZE)), c1, c2);
OptimizerStats stats = new OptimizerStats();
ProjectedGradientDescent optimizer = new ProjectedGradientDescent(ls);
StopingCriteria stopGrad = new ProjectedGradientL2Norm(GRAD_DIFF);
StopingCriteria stopValue = new ValueDifference(VAL_DIFF*(-llh));
CompositeStopingCriteria compositeStop = new CompositeStopingCriteria();
compositeStop.add(stopGrad);
compositeStop.add(stopValue);
optimizer.setMaxIterations(ITERATIONS);
updateFunction();
boolean success = optimizer.optimize(this,stats,compositeStop);
// System.out.println("Ended optimzation Projected Gradient Descent\n" + stats.prettyPrint(1));
if (success)
System.out.print("\toptimization took " + optimizer.getCurrentIteration() + " iterations");
else
System.out.print("\toptimization failed to converge");
long total = System.currentTimeMillis() - start;
System.out.println(" and " + total + " ms: projection " + projectionTime +
" actual " + actualProjectionTime + " objective " + objectiveTime);
return parameters;
}
double loglikelihood()
{
return llh;
}
double KL_divergence()
{
return -loglikelihood + MathUtils.dotProduct(parameters, gradient);
}
double phrase_l1lmax()
{
// \sum_{tag,phrase} max_{context} P(tag|context,phrase)
double sum=0;
for (int p = 0; p < c.c.getNumPhrases(); ++p)
{
List<Edge> edges = c.c.getEdgesForPhrase(p);
for(int tag=0;tag<c.K;tag++)
{
double max=0;
for (Edge edge: edges)
max = Math.max(max, q[edgeIndex.get(edge)][tag]);
sum+=max;
}
}
return sum;
}
double context_l1lmax()
{
// \sum_{tag,context} max_{phrase} P(tag|context,phrase)
double sum=0;
for (int ctx = 0; ctx < c.c.getNumContexts(); ++ctx)
{
List<Edge> edges = c.c.getEdgesForContext(ctx);
for(int tag=0; tag<c.K; tag++)
{
double max=0;
for (Edge edge: edges)
max = Math.max(max, q[edgeIndex.get(edge)][tag]);
sum+=max;
}
}
return sum;
}
// L - KL(q||p) - scalePT * l1lmax_phrase - scaleCT * l1lmax_context
public double primal()
{
return loglikelihood() - KL_divergence() - c.scalePT * phrase_l1lmax() - c.scalePT * context_l1lmax();
}
}
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