/** {@inheritDoc} */
@Override
protected PointValuePair doOptimize() {
if (simplex == null) {
throw new NullArgumentException();
}
// Indirect call to "computeObjectiveValue" in order to update the
// evaluations counter.
final MultivariateFunction evalFunc =
new MultivariateFunction() {
public double value(double[] point) {
return computeObjectiveValue(point);
}
};
final boolean isMinim = getGoalType() == GoalType.MINIMIZE;
final Comparator<PointValuePair> comparator =
new Comparator<PointValuePair>() {
public int compare(final PointValuePair o1, final PointValuePair o2) {
final double v1 = o1.getValue();
final double v2 = o2.getValue();
return isMinim ? Double.compare(v1, v2) : Double.compare(v2, v1);
}
};
// Initialize search.
simplex.build(getStartPoint());
simplex.evaluate(evalFunc, comparator);
PointValuePair[] previous = null;
int iteration = 0;
final ConvergenceChecker<PointValuePair> checker = getConvergenceChecker();
while (true) {
if (iteration > 0) {
boolean converged = true;
for (int i = 0; i < simplex.getSize(); i++) {
PointValuePair prev = previous[i];
converged = converged && checker.converged(iteration, prev, simplex.getPoint(i));
}
if (converged) {
// We have found an optimum.
return simplex.getPoint(0);
}
}
// We still need to search.
previous = simplex.getPoints();
simplex.iterate(evalFunc, comparator);
++iteration;
}
}
/** {@inheritDoc} */
@Override
protected PointValuePair doOptimize() {
final GoalType goal = getGoalType();
final double[] guess = getStartPoint();
final int n = guess.length;
final double[][] direc = new double[n][n];
for (int i = 0; i < n; i++) {
direc[i][i] = 1;
}
final ConvergenceChecker<PointValuePair> checker = getConvergenceChecker();
double[] x = guess;
double fVal = computeObjectiveValue(x);
double[] x1 = x.clone();
int iter = 0;
while (true) {
++iter;
double fX = fVal;
double fX2 = 0;
double delta = 0;
int bigInd = 0;
double alphaMin = 0;
for (int i = 0; i < n; i++) {
final double[] d = MathArrays.copyOf(direc[i]);
fX2 = fVal;
final UnivariatePointValuePair optimum = line.search(x, d);
fVal = optimum.getValue();
alphaMin = optimum.getPoint();
final double[][] result = newPointAndDirection(x, d, alphaMin);
x = result[0];
if ((fX2 - fVal) > delta) {
delta = fX2 - fVal;
bigInd = i;
}
}
// Default convergence check.
boolean stop =
2 * (fX - fVal)
<= (relativeThreshold * (FastMath.abs(fX) + FastMath.abs(fVal)) + absoluteThreshold);
final PointValuePair previous = new PointValuePair(x1, fX);
final PointValuePair current = new PointValuePair(x, fVal);
if (!stop) { // User-defined stopping criteria.
if (checker != null) {
stop = checker.converged(iter, previous, current);
}
}
if (stop) {
if (goal == GoalType.MINIMIZE) {
return (fVal < fX) ? current : previous;
} else {
return (fVal > fX) ? current : previous;
}
}
final double[] d = new double[n];
final double[] x2 = new double[n];
for (int i = 0; i < n; i++) {
d[i] = x[i] - x1[i];
x2[i] = 2 * x[i] - x1[i];
}
x1 = x.clone();
fX2 = computeObjectiveValue(x2);
if (fX > fX2) {
double t = 2 * (fX + fX2 - 2 * fVal);
double temp = fX - fVal - delta;
t *= temp * temp;
temp = fX - fX2;
t -= delta * temp * temp;
if (t < 0.0) {
final UnivariatePointValuePair optimum = line.search(x, d);
fVal = optimum.getValue();
alphaMin = optimum.getPoint();
final double[][] result = newPointAndDirection(x, d, alphaMin);
x = result[0];
final int lastInd = n - 1;
direc[bigInd] = direc[lastInd];
direc[lastInd] = result[1];
}
}
}
}
/* 56: */
/* 57: */ protected PointValuePair doOptimize() /* 58: */ {
/* 59:147 */ ConvergenceChecker<PointValuePair> checker = getConvergenceChecker();
/* 60:148 */ this.point = getStartPoint();
/* 61:149 */ GoalType goal = getGoalType();
/* 62:150 */ int n = this.point.length;
/* 63:151 */ double[] r = computeObjectiveGradient(this.point);
/* 64:152 */ if (goal == GoalType.MINIMIZE) {
/* 65:153 */ for (int i = 0; i < n; i++) {
/* 66:154 */ r[i] = (-r[i]);
/* 67: */ }
/* 68: */ }
/* 69:159 */ double[] steepestDescent = this.preconditioner.precondition(this.point, r);
/* 70:160 */ double[] searchDirection = (double[]) steepestDescent.clone();
/* 71: */
/* 72:162 */ double delta = 0.0D;
/* 73:163 */ for (int i = 0; i < n; i++) {
/* 74:164 */ delta += r[i] * searchDirection[i];
/* 75: */ }
/* 76:167 */ PointValuePair current = null;
/* 77:168 */ int iter = 0;
/* 78:169 */ int maxEval = getMaxEvaluations();
/* 79: */ for (; ; )
/* 80: */ {
/* 81:171 */ iter++;
/* 82: */
/* 83:173 */ double objective = computeObjectiveValue(this.point);
/* 84:174 */ PointValuePair previous = current;
/* 85:175 */ current = new PointValuePair(this.point, objective);
/* 86:176 */ if ((previous != null)
&&
/* 87:177 */ (checker.converged(iter, previous, current))) {
/* 88:179 */ return current;
/* 89: */ }
/* 90:184 */ UnivariateFunction lsf = new LineSearchFunction(searchDirection);
/* 91:185 */ double uB = findUpperBound(lsf, 0.0D, this.initialStep);
/* 92: */
/* 93: */
/* 94: */
/* 95:189 */ double step = this.solver.solve(maxEval, lsf, 0.0D, uB, 1.E-015D);
/* 96:190 */ maxEval -= this.solver.getEvaluations();
/* 97:193 */ for (int i = 0; i < this.point.length; i++) {
/* 98:194 */ this.point[i] += step * searchDirection[i];
/* 99: */ }
/* 100:197 */ r = computeObjectiveGradient(this.point);
/* 101:198 */ if (goal == GoalType.MINIMIZE) {
/* 102:199 */ for (int i = 0; i < n; i++) {
/* 103:200 */ r[i] = (-r[i]);
/* 104: */ }
/* 105: */ }
/* 106:205 */ double deltaOld = delta;
/* 107:206 */ double[] newSteepestDescent = this.preconditioner.precondition(this.point, r);
/* 108:207 */ delta = 0.0D;
/* 109:208 */ for (int i = 0; i < n; i++) {
/* 110:209 */ delta += r[i] * newSteepestDescent[i];
/* 111: */ }
/* 112: */ double beta;
/* 113: */
/* 114:213 */ if (this.updateFormula == ConjugateGradientFormula.FLETCHER_REEVES)
/* 115: */ {
/* 116:214 */ beta = delta / deltaOld;
/* 117: */ }
/* 118: */ else
/* 119: */ {
/* 120:216 */ double deltaMid = 0.0D;
/* 121:217 */ for (int i = 0; i < r.length; i++) {
/* 122:218 */ deltaMid += r[i] * steepestDescent[i];
/* 123: */ }
/* 124:220 */ beta = (delta - deltaMid) / deltaOld;
/* 125: */ }
/* 126:222 */ steepestDescent = newSteepestDescent;
/* 127:225 */ if ((iter % n == 0) || (beta < 0.0D)) {
/* 128:228 */ searchDirection = (double[]) steepestDescent.clone();
/* 129: */ } else {
/* 130:231 */ for (int i = 0; i < n; i++) {
/* 131:232 */ steepestDescent[i] += beta * searchDirection[i];
/* 132: */ }
/* 133: */ }
/* 134: */ }
/* 135: */ }