private double multiLL(DoubleMatrix2D coeffs, Node dep, List<Node> indep) { DoubleMatrix2D indepData = factory2D.make(internalData.subsetColumns(indep).getDoubleData().toArray()); List<Node> depList = new ArrayList<>(); depList.add(dep); DoubleMatrix2D depData = factory2D.make(internalData.subsetColumns(depList).getDoubleData().toArray()); int N = indepData.rows(); DoubleMatrix2D probs = Algebra.DEFAULT.mult(factory2D.appendColumns(factory2D.make(N, 1, 1.0), indepData), coeffs); probs = factory2D .appendColumns(factory2D.make(indepData.rows(), 1, 1.0), probs) .assign(Functions.exp); double ll = 0; for (int i = 0; i < N; i++) { DoubleMatrix1D curRow = probs.viewRow(i); curRow.assign(Functions.div(curRow.zSum())); ll += Math.log(curRow.get((int) depData.get(i, 0))); } return ll; }
public void compute() { alpha_Y.assign(1); initMDone = false; boolean doScaling = params.doScaling; if ((beta_Y == null) || (beta_Y.length < dataSeq.length())) { beta_Y = new DenseDoubleMatrix1D[2 * dataSeq.length()]; for (int i = 0; i < beta_Y.length; i++) beta_Y[i] = new DenseDoubleMatrix1D(numY); scale = new double[2 * dataSeq.length()]; scale[dataSeq.length() - 1] = (doScaling) ? numY : 1; beta_Y[dataSeq.length() - 1].assign(1.0 / scale[dataSeq.length() - 1]); } beta.add(beta_Y[dataSeq.length() - 1]); // System.out.println("Beta "+beta_Y[3].toString()); for (int i = dataSeq.length() - 1; i > 0; i--) { if (params.debugLvl > 2) { Util.printDbg("Features fired"); // featureGenerator.startScanFeaturesAt(dataSeq, i); // while (featureGenerator.hasNext()) { // Feature feature = featureGenerator.next(); // Util.printDbg(feature.toString()); // } } // compute the Mi matrix // System.out.println("MI previous" +Mi_YY.toString()); initMDone = Trainer.computeLogMi( featureGenerator, lambda, dataSeq, i, Mi_YY, Ri_Y, true, reuseM, initMDone); // System.out.println("MI "+Mi_YY.toString()); tmp_Y.assign(beta_Y[i]); tmp_Y.assign(Ri_Y, multFunc); RobustMath.Mult(Mi_YY, tmp_Y, beta_Y[i - 1], 1, 0, false, edgeGen); // need to scale the beta-s to avoid overflow scale[i - 1] = doScaling ? beta_Y[i - 1].zSum() : 1; if ((scale[i - 1] < 1) && (scale[i - 1] > -1)) scale[i - 1] = 1; constMultiplier.multiplicator = 1.0 / scale[i - 1]; beta_Y[i - 1].assign(constMultiplier); // System.out.println("Beta "+beta_Y[i - 1].toString() + " "); beta.add(beta_Y[i - 1]); } double thisSeqLogli = 0; System.out.println("\n"); // Mi_YY.assign(0); alpha_temp = new DenseDoubleMatrix1D[2 * dataSeq.length()]; for (int i = 0; i < dataSeq.length(); i++) alpha_temp[i] = new DenseDoubleMatrix1D(numY); for (int i = 0; i < dataSeq.length(); i++) { // compute the Mi matrix // initMDone = Trainer.computeLogMi( featureGenerator, lambda, dataSeq, i, Mi_YY, Ri_Y, true, reuseM, initMDone); // System.out.println("MI: " + Mi_YY.toString()); // find features that fire at this position.. featureGenerator.startScanFeaturesAt(dataSeq, i); if (i > 0) { tmp_Y.assign(alpha_Y); RobustMath.Mult(Mi_YY, tmp_Y, newAlpha_Y, 1, 0, true, edgeGen); // Mi_YY.zMult(tmp_Y, newAlpha_Y,1,0,true); newAlpha_Y.assign(Ri_Y, multFunc); } else { newAlpha_Y.assign(Ri_Y); } while (featureGenerator.hasNext()) { Feature feature = featureGenerator.next(); int f = feature.index(); int yp = feature.y(); int yprev = feature.yprev(); float val = feature.value(); if ((dataSeq.y(i) == yp) && (((i - 1 >= 0) && (yprev == dataSeq.y(i - 1))) || (yprev < 0))) { thisSeqLogli += val * lambda[f]; } } alpha_Y.assign(newAlpha_Y); // now scale the alpha-s to avoid overflow problems. constMultiplier.multiplicator = 1.0 / scale[i]; alpha_Y.assign(constMultiplier); alpha_temp[i].assign(newAlpha_Y); alpha_temp[i].assign(constMultiplier); // System.out.println("ALpha "+alpha_Y.toString()); alpha.add(alpha_temp[i]); if (params.debugLvl > 2) { System.out.println("Alpha-i " + alpha_Y.toString()); System.out.println("Ri " + Ri_Y.toString()); System.out.println("Mi " + Mi_YY.toString()); System.out.println("Beta-i " + beta_Y[i].toString()); } } Zx = alpha_Y.zSum(); System.out.println("Zx: " + Zx); } /* end of computeBeta */
protected double computeFunctionGradient(double lambda[], double grad[]) { initMDone = false; if (params.trainerType.equals("ll")) return computeFunctionGradientLL(lambda, grad); double logli = 0; try { for (int f = 0; f < lambda.length; f++) { grad[f] = -1 * lambda[f] * params.invSigmaSquare; logli -= ((lambda[f] * lambda[f]) * params.invSigmaSquare) / 2; } boolean doScaling = params.doScaling; diter.startScan(); if (featureGenCache != null) featureGenCache.startDataScan(); int numRecord = 0; for (numRecord = 0; diter.hasNext(); numRecord++) { DataSequence dataSeq = (DataSequence) diter.next(); if (featureGenCache != null) featureGenCache.nextDataIndex(); if (params.debugLvl > 1) { Util.printDbg("Read next seq: " + numRecord + " logli " + logli); } alpha_Y.assign(1); for (int f = 0; f < lambda.length; f++) ExpF[f] = 0; if ((beta_Y == null) || (beta_Y.length < dataSeq.length())) { beta_Y = new DenseDoubleMatrix1D[2 * dataSeq.length()]; for (int i = 0; i < beta_Y.length; i++) beta_Y[i] = new DenseDoubleMatrix1D(numY); scale = new double[2 * dataSeq.length()]; } // compute beta values in a backward scan. // also scale beta-values to 1 to avoid numerical problems. scale[dataSeq.length() - 1] = (doScaling) ? numY : 1; beta_Y[dataSeq.length() - 1].assign(1.0 / scale[dataSeq.length() - 1]); for (int i = dataSeq.length() - 1; i > 0; i--) { if (params.debugLvl > 2) { Util.printDbg("Features fired"); // featureGenerator.startScanFeaturesAt(dataSeq, i); // while (featureGenerator.hasNext()) { // Feature feature = featureGenerator.next(); // Util.printDbg(feature.toString()); // } } // compute the Mi matrix initMDone = computeLogMi( featureGenerator, lambda, dataSeq, i, Mi_YY, Ri_Y, true, reuseM, initMDone); tmp_Y.assign(beta_Y[i]); tmp_Y.assign(Ri_Y, multFunc); RobustMath.Mult(Mi_YY, tmp_Y, beta_Y[i - 1], 1, 0, false, edgeGen); // Mi_YY.zMult(tmp_Y, beta_Y[i-1]); // need to scale the beta-s to avoid overflow scale[i - 1] = doScaling ? beta_Y[i - 1].zSum() : 1; if ((scale[i - 1] < 1) && (scale[i - 1] > -1)) scale[i - 1] = 1; constMultiplier.multiplicator = 1.0 / scale[i - 1]; beta_Y[i - 1].assign(constMultiplier); } double thisSeqLogli = 0; for (int i = 0; i < dataSeq.length(); i++) { // compute the Mi matrix initMDone = computeLogMi( featureGenerator, lambda, dataSeq, i, Mi_YY, Ri_Y, true, reuseM, initMDone); // find features that fire at this position.. featureGenerator.startScanFeaturesAt(dataSeq, i); if (i > 0) { tmp_Y.assign(alpha_Y); RobustMath.Mult(Mi_YY, tmp_Y, newAlpha_Y, 1, 0, true, edgeGen); // Mi_YY.zMult(tmp_Y, newAlpha_Y,1,0,true); newAlpha_Y.assign(Ri_Y, multFunc); } else { newAlpha_Y.assign(Ri_Y); } while (featureGenerator.hasNext()) { Feature feature = featureGenerator.next(); int f = feature.index(); int yp = feature.y(); int yprev = feature.yprev(); float val = feature.value(); if ((dataSeq.y(i) == yp) && (((i - 1 >= 0) && (yprev == dataSeq.y(i - 1))) || (yprev < 0))) { grad[f] += val; thisSeqLogli += val * lambda[f]; } if (yprev < 0) { ExpF[f] += newAlpha_Y.get(yp) * val * beta_Y[i].get(yp); } else { ExpF[f] += alpha_Y.get(yprev) * Ri_Y.get(yp) * Mi_YY.get(yprev, yp) * val * beta_Y[i].get(yp); } } alpha_Y.assign(newAlpha_Y); // now scale the alpha-s to avoid overflow problems. constMultiplier.multiplicator = 1.0 / scale[i]; alpha_Y.assign(constMultiplier); if (params.debugLvl > 2) { System.out.println("Alpha-i " + alpha_Y.toString()); System.out.println("Ri " + Ri_Y.toString()); System.out.println("Mi " + Mi_YY.toString()); System.out.println("Beta-i " + beta_Y[i].toString()); } } double Zx = alpha_Y.zSum(); thisSeqLogli -= log(Zx); // correct for the fact that alpha-s were scaled. for (int i = 0; i < dataSeq.length(); i++) { thisSeqLogli -= log(scale[i]); } logli += thisSeqLogli; // update grad. for (int f = 0; f < grad.length; f++) grad[f] -= ExpF[f] / Zx; if (params.debugLvl > 1) { System.out.println( "Sequence " + thisSeqLogli + " logli " + logli + " log(Zx) " + Math.log(Zx) + " Zx " + Zx); } } if (params.debugLvl > 2) { for (int f = 0; f < lambda.length; f++) System.out.print(lambda[f] + " "); System.out.println(" :x"); for (int f = 0; f < lambda.length; f++) System.out.println(featureGenerator.featureName(f) + " " + grad[f] + " "); System.out.println(" :g"); } if (params.debugLvl > 0) Util.printDbg( "Iter " + icall + " log likelihood " + logli + " norm(grad logli) " + norm(grad) + " norm(x) " + norm(lambda)); if (icall == 0) { System.out.println("Number of training records" + numRecord); } } catch (Exception e) { System.out.println("Alpha-i " + alpha_Y.toString()); System.out.println("Ri " + Ri_Y.toString()); System.out.println("Mi " + Mi_YY.toString()); e.printStackTrace(); System.exit(0); } return logli; }