Pair <int, double, double[]> DifferentialCrossover(int[] selectedList, int sIndex)
{
double F = 1.5; //[0,2]
var s1 = pool[selectedList[0]].Item2;
var s2 = pool[selectedList[1]].Item2;
var s3 = pool[selectedList[2]].Item2;
var solutionCopy = Copy.DeepCopy(pool[sIndex]);
int R = GlobalVar.rnd.Next(1, numOfLabel);
for (int i = 0; i < numOfLabel - 1; i++)
{
double r = GlobalVar.rnd.NextDouble();
if (r <= 0.9 || i == R)
{
solutionCopy.Item2[i] = s1[i] + F * (s2[i] - s3[i]);
}
}
solutionCopy.Item2[numOfLabel - 1] =
1 - (solutionCopy.Item2.Sum()
- solutionCopy.Item2[numOfLabel - 1]);
return(solutionCopy);
}
void Reproduction()
{
Pair <int, double, Pair <int, int, double[]>[]>[] tempPool = new Pair <int, double, Pair <int, int, double[]>[]> [populationSize];
var bestSolution = pool.Where(x => x.Item1 == pool.Max(y => y.Item1)).ToList().First();
bestSolution.Item0 = 0;
tempPool[0] = Copy.DeepCopy(bestSolution);
for (int i = 1; i < populationSize; i++)
{
int[] selectedList = FitnessPropotionateSampling();
var child = Copy.DeepCopy(pool[selectedList[0]]);
if (GlobalVar.rnd.NextDouble() <= crRate)
{
child.Item2 = TwoPointCrossOver(pool[selectedList[0]].Item2, pool[selectedList[1]].Item2);
}
if (GlobalVar.rnd.NextDouble() <= mtRate)
{
Mutation(child.Item2);
}
SolutionRepair(child.Item2);
child.Item0 = i;
tempPool[i] = child;
}
Array.Clear(pool, 0, pool.Length);
pool = tempPool;
}
public double SelfAdaptivePenaltyFunction(double[] probabilities, double cost)
{
int beta = 1;
int searchBoundary = 200;
double[] tempProbs = Copy.DeepCopy(probabilities);
tempProbs = tempProbs.Select(x =>
{
double y = x * -1 - 0;
return(Math.Pow((Math.Max(0, y)), beta));
}).ToArray();
double totalInfeasiability = tempProbs.Sum() > searchBoundary * numOfLabels ? 100 : tempProbs.Sum() / searchBoundary * numOfLabels;
double normalizedCost = cost / numOfLabels;
bool infeasiablePool = coverPointSetProb.All(x => x.All(y => y < 0) == true) == true ? true : false;
double distance = infeasiablePool == true ? totalInfeasiability
: Math.Sqrt(Math.Pow(normalizedCost, 2) + Math.Pow(totalInfeasiability, 2));
double X = infeasiablePool == true ? 0 : totalInfeasiability;
double Y = probabilities.All(x => x > 0) ? 0 : normalizedCost;
double proportionOfFeaisableSol = coverPointSetProb
.Count(x => x.All(y => y > 0)) * 1.0 / populationSize;
double adjustedFitness = distance + (1 - proportionOfFeaisableSol) * X
+ proportionOfFeaisableSol * Y;
return(adjustedFitness);
}
public double GoodnessOfFit(Pair <int, double, Pair <int, int, double[]>[]> solution)
{
Matrix <double> Amatrix = Matrix <double> .Build.Dense(numOfLabels, numOfLabels - 1);
double[] lastCoverElementSet = new double[numOfLabels];
Vector <double> bVector = Vector <double> .Build.Dense(expTriProb);
for (int i = 0; i < numOfLabels; i++)
{
if (solution.Item2.Where(x => x.Item1 == numOfLabels).Count() == 0)
{
Console.WriteLine();
}
lastCoverElementSet[i] = solution.Item2.Where(x => x.Item1 == numOfLabels).Sum(x => x.Item2[i])
/ solution.Item2.Where(x => x.Item1 == numOfLabels).Count();
}
bVector = bVector.Subtract(Vector <double> .Build.Dense(lastCoverElementSet));
for (int i = 0; i < numOfLabels; i++)
{
for (int j = 0; j < numOfLabels - 1; j++)
{
if (solution.Item2.Where(x => x.Item1 == j + 1).Count() == 0)
{
Console.WriteLine();
}
Amatrix[i, j] = solution.Item2.Where(x => x.Item1 == j + 1).Sum(x => x.Item2[i]);
Amatrix[i, j] /= solution.Item2.Where(x => x.Item1 == j + 1).Count();
Amatrix[i, j] -= lastCoverElementSet[i];
}
}
double error = 0;
for (int row = 0; row < numOfLabels; row++)
{
error += Math.Pow((Amatrix.Row(row).ToRowMatrix()
.Multiply(Vector <double> .Build.Dense(coverPointSetProb[solution.Item0])
.SubVector(0, coverPointSetProb[solution.Item0].Length - 1))[0] - bVector[row]), 2);
}
int beta = 1;
double[] tempProbs = Copy.DeepCopy(coverPointSetProb[solution.Item0]);
tempProbs = tempProbs.Select(x =>
{
double y = x * -1 - 0;
return(Math.Pow((Math.Max(0, y)), beta));
}).ToArray();
double totalInfeasiability = tempProbs.Sum() / numOfLabels;
double normalizedCost = error / numOfLabels;
double goodnessOfFit = Math.Sqrt(Math.Pow(normalizedCost, 2) + Math.Pow(totalInfeasiability, 2));
return(goodnessOfFit);
}
Pair <int, int, double[]>[] TwoPointCrossOver(Pair <int, int, double[]>[] s1, Pair <int, int, double[]>[] s2)
{
var a1 = s1.Select(x => x.Item1).ToList();
var a2 = s2.Select(x => x.Item1).ToList();
int po1 = GlobalVar.rnd.Next(0, a1.Count - 1);
int po2 = GlobalVar.rnd.Next(po1 + 1, a1.Count);
var part1 = a1.Select((value, i) => { return(i < po1 ? value : -1); }).Where(x => x != -1);
var part2 = a2.Select((value, i) => { return(i >= po1 && i <= po2 ? value : -1); }).Where(x => x != -1);
var part3 = a1.Select((value, i) => { return(i > po2 ? value : -1); }).Where(x => x != -1);
var newLabelSettings = part1.Concat(part2).Concat(part3).ToArray();
var newBins = Copy.DeepCopy(sut.bins);
for (int i = 0; i < newBins.Length; i++)
{
newBins[i].Item1 = newLabelSettings[i];
}
return(newBins);
}
public void GAInitialization()
{
pool = new Pair <int, double, Pair <int, int, double[]>[]> [populationSize];
coverPointSetProb = new double[populationSize][];
for (int i = 0; i < populationSize; i++)
{
pool[i] = new Pair <int, double, Pair <int, int, double[]>[]>();
pool[i].Item0 = i;
pool[i].Item1 = -1;
pool[i].Item2 = Copy.DeepCopy(sut.bins);
for (int j = 0; j < pool[i].Item2.Length; j++)
{
pool[i].Item2[j].Item1 = GlobalVar.rnd.Next(1, numOfLabels + 1);
}
SolutionRepair(pool[i].Item2);
}
}
public async void FitnessEvaluation(int[] token)
{
List <Task> lTasks = new List <Task>();
Mutex mutex_K = new Mutex(false, "lockFork");
for (int k = 0; k < populationSize;)
{
lTasks.Add(Task.Run(() =>
{
mutex_K.WaitOne();
int id = k;
k = k + 1;
mutex_K.ReleaseMutex();
//Console.Write("task #{0}", id);
Matrix <double> Amatrix = Matrix <double> .Build.Dense(numOfLabels, numOfLabels - 1);
double[] lastCoverElementSet = new double[numOfLabels];
Vector <double> bVector = Vector <double> .Build.Dense(expTriProb);
for (int i = 0; i < numOfLabels; i++)
{
if (pool[id].Item2.Where(x => x.Item1 == numOfLabels).Count() == 0)
{
Console.WriteLine();
}
lastCoverElementSet[i] = pool[id].Item2.Where(x => x.Item1 == numOfLabels).Sum(x => x.Item2[i])
/ pool[id].Item2.Where(x => x.Item1 == numOfLabels).Count();
}
bVector = bVector.Subtract(Vector <double> .Build.Dense(lastCoverElementSet));
for (int i = 0; i < numOfLabels; i++)
{
for (int j = 0; j < numOfLabels - 1; j++)
{
if (pool[id].Item2.Where(x => x.Item1 == j + 1).Count() == 0)
{
Console.WriteLine();
}
Amatrix[i, j] = pool[id].Item2.Where(x => x.Item1 == j + 1).Sum(x => x.Item2[i]);
Amatrix[i, j] /= pool[id].Item2.Where(x => x.Item1 == j + 1).Count();
Amatrix[i, j] -= lastCoverElementSet[i];
}
}
double[] probabilities = Accord.Math.Matrix.Solve(
Amatrix.ToArray(), bVector.ToArray(), leastSquares: true);
double[] probForCESets = new double[numOfLabels];
for (int i = 0; i < numOfLabels - 1; i++)
{
probForCESets[i] = probabilities[i];
}
probForCESets[numOfLabels - 1] = 1 - probForCESets.Sum();
coverPointSetProb[id] = Copy.DeepCopy(probForCESets);
double error = 0;
for (int row = 0; row < numOfLabels; row++)
{
error += Math.Pow((Amatrix.Row(row).ToRowMatrix().Multiply(Vector <double> .Build.Dense(probForCESets).SubVector(0, probForCESets.Length - 1))[0] - bVector[row]), 2);
}
pool[id].Item1 = error;
}));
if (lTasks.Count == numberOfConcurrentTasks || (populationSize - k - 1 < numberOfConcurrentTasks))
{
for (int i = 0; i < lTasks.Count; i++)
{
await lTasks[i];
}
lTasks.Clear();
}
}
for (int k = 0; k < populationSize; k++)
{
double adjustFitness = SelfAdaptivePenaltyFunction(coverPointSetProb[k], pool[k].Item1);
pool[k].Item1 = 1.0 / adjustFitness;
}
token[0] = 1;
//Console.WriteLine("Fitness Evaluation Done");
}
public void FitnessEvaluationNoParll(int[] token)
{
for (int k = 0; k < populationSize; k++)
{
//Console.Write("task #{0}", id);
Matrix <double> Amatrix = Matrix <double> .Build.Dense(numOfLabels, numOfLabels - 1);
double[] lastCoverElementSet = new double[numOfLabels];
Vector <double> bVector = Vector <double> .Build.Dense(expTriProb);
for (int i = 0; i < numOfLabels; i++)
{
if (pool[k].Item2.Where(x => x.Item1 == numOfLabels).Count() == 0)
{
Console.WriteLine();
}
lastCoverElementSet[i] = pool[k].Item2.Where(x => x.Item1 == numOfLabels).Sum(x => x.Item2[i])
/ pool[k].Item2.Where(x => x.Item1 == numOfLabels).Count();
}
bVector = bVector.Subtract(Vector <double> .Build.Dense(lastCoverElementSet));
for (int i = 0; i < numOfLabels; i++)
{
for (int j = 0; j < numOfLabels - 1; j++)
{
if (pool[k].Item2.Where(x => x.Item1 == j + 1).Count() == 0)
{
Console.WriteLine();
}
Amatrix[i, j] = pool[k].Item2.Where(x => x.Item1 == j + 1).Sum(x => x.Item2[i]);
Amatrix[i, j] /= pool[k].Item2.Where(x => x.Item1 == j + 1).Count();
Amatrix[i, j] -= lastCoverElementSet[i];
}
}
double[] probabilities = Accord.Math.Matrix.Solve(
Amatrix.ToArray(), bVector.ToArray(), leastSquares: true);
double[] probForCESets = new double[numOfLabels];
for (int i = 0; i < numOfLabels - 1; i++)
{
probForCESets[i] = probabilities[i];
}
probForCESets[numOfLabels - 1] = 1 - probForCESets.Sum();
coverPointSetProb[k] = Copy.DeepCopy(probForCESets);
double error = 0;
for (int row = 0; row < numOfLabels; row++)
{
error += Math.Pow((Amatrix.Row(row).ToRowMatrix().Multiply(Vector <double> .Build.Dense(probForCESets).SubVector(0, probForCESets.Length - 1))[0] - bVector[row]), 2);
}
pool[k].Item1 = error;
}
for (int k = 0; k < populationSize; k++)
{
double adjustFitness = SelfAdaptivePenaltyFunction(coverPointSetProb[k], pool[k].Item1);
pool[k].Item1 = 1.0 / adjustFitness;
}
token[0] = 1;
//Console.WriteLine("Fitness Evaluation Done");
}
public void AlgorithmStart(record record)
{
var watch = System.Diagnostics.Stopwatch.StartNew();
int[] token = new int[1];
FitnessEvaluationNoParll(token);
while (token[0] == 0)
{
;
}
token[0] = 0;
Queue <double> last20fitness = new Queue <double>();
while (generation < maxGen)
{
Reproduction();
FitnessEvaluationNoParll(token);
while (token[0] == 0)
{
;
}
token[0] = 0;
// Start Recording
watch.Stop();
var orderedSolutions = pool.OrderByDescending(x => x.Item1);
int index = -1;
Pair <int, double, Pair <int, int, double[]>[]> bestSolution = null;
double[] probabilityset = null;
for (int i = 0; i < populationSize; i++)
{
index = orderedSolutions.ElementAt(i).Item0;
probabilityset = coverPointSetProb[index];
if (probabilityset.All(x => x >= 0))
{
bestSolution = orderedSolutions.ElementAt(i);
break;
}
}
if (bestSolution == null)
{
Console.WriteLine("Current Task ID #{0}", Task.CurrentId);
Console.WriteLine("No Feasiable Solution, # Of negative Values {0}",
coverPointSetProb[orderedSolutions
.First().Item0].Sum(x =>
{
if (x < 0)
{
return(Math.Abs(x));
}
else
{
return(0);
}
}));
}
else
{
double[] estTriProbabilities = new double[numOfLabels];
for (int i = 0; i < numOfLabels; i++)
{
double[] triProbsCoverSet = new double[numOfLabels];
for (int j = 0; j < numOfLabels; j++)
{
triProbsCoverSet[j] = bestSolution.Item2.Where(x => x.Item1 == j + 1).Sum(x => x.Item2[i]);
triProbsCoverSet[j] /= bestSolution.Item2.Where(x => x.Item1 == j + 1).Count();
}
estTriProbabilities[i] = Vector <double> .Build.Dense(triProbsCoverSet).ToRowMatrix().
Multiply(Vector <double> .Build.Dense(coverPointSetProb[index]))[0];
}
Console.WriteLine("Estimated Triggering Probabilities {0}", estTriProbabilities.Min());
}
record.fitnessGen[generation] = 1.0 / orderedSolutions.First().Item1;
record.goodnessOfFitGen[generation] = GoodnessOfFit(orderedSolutions.First());
Console.WriteLine("Gen #{0} Fitness: {1}", generation, record.goodnessOfFitGen[generation]);
watch.Start();
if (last20fitness.Count == 100)
{
last20fitness.Dequeue();
last20fitness.Enqueue(1.0 / orderedSolutions.First().Item1);
if (last20fitness.All(x => x == last20fitness.First()))
{
break;
}
}
else
{
last20fitness.Enqueue(1.0 / orderedSolutions.First().Item1);
}
generation += 1;
}
watch.Stop();
var rankedOneSolution = pool.OrderByDescending(x => x.Item1).First();
record.bestSolution.binSetup = Copy.DeepCopy(rankedOneSolution.Item2.Select(x => x.Item1).ToArray());
var totalRuningTime = watch.ElapsedMilliseconds;
record.bestSolution.totalRunTime = totalRuningTime;
record.bestSolution.setProbabilities = Copy.DeepCopy(
coverPointSetProb[rankedOneSolution.Item0]);
}
public void Reproduction()
{
Pair <int, double, double[]>[] tempPool;
tempPool = new Pair <int, double, double[]> [popSize];
for (int i = 0; i < popSize; i++)
{
int[] selectedList = DifferentialSelection(i);
var newSolution = DifferentialCrossover(selectedList, i);
FitnessCal(newSolution);
tempPool[i] = newSolution.Item1 > pool[i].Item1 ? newSolution : Copy.DeepCopy(pool[i]);
tempPool[i].Item0 = i;
}
Array.Clear(pool, 0, pool.Length);
pool = tempPool;
}
public double ProbabilityFinder(double[] probabilityArray, int index, double entropy)
{
//Stop when 1. no remain prob. return 1;
//2. number of labels reached the max return 1;
//3. if it can't find the valid prob,ie. in the below range and timeout
// return -1
// The generated probability should make entropy - newEntropy > 0
// Should no smaller than maximum of the sum of the rest infromation
// After successfully generate a prob., call itself and pass in next index
int numOfLabels = probabilityArray.Length;
while (true)
{
if (index == numOfLabels - 1)
{
double probLeft = 1 - probabilityArray.Sum();
probabilityArray[index] += probLeft;
return(1.0);
}
double sum = probabilityArray.Sum();
if (Math.Round(sum, 4) == 1)
{
return(1.0);
}
int retryTimes = 2000;
bool success = false;
double rnd = -1;
while (retryTimes > 0)
{
retryTimes -= 1;
rnd = GlobalVar.rnd.NextDouble() * (1 - sum);
double[] tmpProbList = Copy.DeepCopy(
probabilityArray);
tmpProbList[index] += rnd;
double testEntropy = EntropyCalculation(tmpProbList);
double remainProb = 1 - sum - rnd;
double[] arrayOfProbabilities = Enumerable.Repeat(
remainProb / (numOfLabels - index - 1), numOfLabels - index - 1).ToArray();
var tmpProbList2 = tmpProbList.Select((x, i) =>
{
if (i > index)
{
return(x + arrayOfProbabilities[i - index - 1]);
}
return(x);
}).ToArray();
double maxEntTest = EntropyCalculation(tmpProbList2);
if (entropy > testEntropy && maxEntTest > entropy)
{
probabilityArray[index] += rnd;
success = true;
break;
}
}
double ret = -2;
if (success == true)
{
Console.WriteLine(index);
ret = ProbabilityFinder(probabilityArray, index + 1, entropy);
if (ret == 1.0)
{
return(1.0);
}
else
{
probabilityArray[index] -= rnd;
}
}
else
{
return(-1);
}
}
}
