public void minimize_test_more_workers()
{
// A = [ 1 2 3; 2 4 6; 3 6 9; 4 8 12 ]
double[][] costMatrix =
{
new double[] { 1, 2, 3 },
new double[] { 2, 4, 6 },
new double[] { 3, 6, 9 },
new double[] { 4, 8, 12 },
};
var m = new Munkres(costMatrix);
Assert.AreEqual(3, m.NumberOfTasks);
Assert.AreEqual(4, m.NumberOfWorkers);
bool success = m.Minimize();
Assert.AreEqual(3, m.validCol.Length);
Assert.AreEqual(4, m.validRow.Length);
Assert.IsTrue(success);
Assert.AreEqual(10, m.Value);
Assert.IsTrue(m.starZ.IsEqual(new[] { 2, 1, 0, 3 }));
Assert.IsTrue(m.Solution.IsEqual(new[] { 2, 1, 0, Double.NaN }));
}
public void minimize_test()
{
#region doc_example
// This is the same example that is found in Wikipedia:
// https://en.wikipedia.org/wiki/Hungarian_algorithm
double[][] costMatrix =
{
// Clean bathroom, Sweep floors, Wash windows
/* Armond */ new double[] { 2, 3, 3 },
/* Francine */ new double[] { 3, 2, 3 },
/* Herbert */ new double[] { 3, 3, 2 },
};
// Create a new Hungarian algorithm
Munkres m = new Munkres(costMatrix);
bool success = m.Minimize(); // solve it (should return true)
double[] solution = m.Solution; // Solution will be 0, 1, 2
double minimumCost = m.Value; // should be 6
#endregion
Assert.AreEqual(3, m.NumberOfTasks);
Assert.AreEqual(3, m.NumberOfWorkers);
Assert.IsTrue(success);
Assert.AreEqual(6, minimumCost);
Assert.AreEqual(0, solution[0]);
Assert.AreEqual(1, solution[1]);
Assert.AreEqual(2, solution[2]);
}
// 2d arrays don't play nicely with attributes
public void RunTest(double[,] costMatrix, double expectedCost)
{
var m = new Munkres(costMatrix);
m.Run();
m.Cost.Should().Be(expectedCost);
}
//WIP solve using the hungarian problem
public BigInteger fitn(int[] container, int[] box)
{
double[][] hungarianGrid = new double[container.Length][];
for (int i = 0; i < box.Length; i++)
{
hungarianGrid[i] = new double[box.Length];
}
for (int y = 0; y < container.Length; y++)
{
for (int x = 0; x < box.Length; x++)
{
//Console.Write(container[x]);
hungarianGrid[x][y] = container[x] % box[y];
Console.Write(hungarianGrid[x][y] + " ");
}
Console.WriteLine();
}
//row reduction
Munkres munkresSolution = new Munkres(hungarianGrid);
munkresSolution.Minimize();
for (int y = 0; y < container.Length; y++)
{
for (int x = 0; x < box.Length; x++)
{
//Console.Write(container[x]);
Console.Write(hungarianGrid[x][y] + " ");
}
Console.WriteLine();
}
double[] values = munkresSolution.Solution;
foreach (int i in values)
{
Console.WriteLine(i + " ");
}
BigInteger answer = 1;
for (int i = 0; i < container.Length; i++)
{
Console.WriteLine("Container: " + container[i] + " Box: " + box[(int)values[i]] + "Answer: " + (container[i] / box[(int)values[i]]));
answer *= (container[i] / box[(int)values[i]]);
}
return(answer);
}
private void LancerRepartition(int[,] matrice)
{
DateTime start = DateTime.Now;
NbParProjet = new int[NbProjets];
//Creation de la matrice
//CreerMatrice(matrice);
RetirerZero(matrice);
//AfficherMatrice(Conversion(matrice));
MatriceBase = Conversion(matrice);
bool suppression = true;
bool echec = false;
int i = 0;
while (suppression)
{
//Initialisation
NbParProjet = new int[NbProjets];
suppression = EquilibrageProjetsMedian(i);
//suppression = SupprimerProjet(i);
Matrice = (double[][])MatriceBase.Clone();
ProjetsD = (string[])Projets.Clone();
Matrice = DupliquerVoeux(Matrice);
//Repartition
if (!suppression)
{
if (i == 1)
{
echec = true;
MessageBox.Show("Problème dans les paramètres de répartition. Vérifiez qu'il y a assez de place pour chaque élève, ou qu'il n'y a pas trop de projets obligatoires.");
}
break;
}
Munkres repartition;
bool succes;
repartition = new Munkres(Matrice);
succes = repartition.Minimize();
//AfficherSolution(repartition.Solution);
//Ecriture
EcrireCsv(Matrice, repartition.Solution, i);
//MessageBox.Show("Solution n°"+(i+1)+" : CHECK");
i++;
}
TimeSpan dur = DateTime.Now - start;
MessageBox.Show("La répartition a bien été effectuée ! Vous avez le choix entre " + i + " solutions différentes.");
}
public void minimize_test2()
{
double[][] costMatrix = Jagged.Magic(5);
var m = new Munkres(costMatrix);
Assert.AreEqual(5, m.NumberOfTasks);
Assert.AreEqual(5, m.NumberOfWorkers);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(15, m.Value);
Assert.AreEqual(2, m.Solution[0]);
Assert.AreEqual(1, m.Solution[1]);
Assert.AreEqual(0, m.Solution[2]);
Assert.AreEqual(4, m.Solution[3]);
Assert.AreEqual(3, m.Solution[4]);
}
public void large_test_2()
{
double[,] costMatrix =
{
{ 3.2659e+003, 1.8662e+003, 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003 },
{ 1.6339e-012, 4.6656e+002, 1.3997e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003 },
{ 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003 },
{ 1.8662e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003 },
{ 3.2659e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003 },
{ 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003 },
{ 3.2659e+003, 1.8662e+003, 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003 },
{ 1.6339e-012, 4.6656e+002, 1.3997e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003 },
{ 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003 },
{ 1.8662e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003 },
{ 3.2659e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003 },
{ 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003 },
{ 3.2659e+003, 1.8662e+003, 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003 },
{ 1.6339e-012, 4.6656e+002, 1.3997e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003 },
{ 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003 },
{ 1.8662e+003, 1.3997e+003, 4.6656e+002, 1.6339e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 4.6656e+002, 4.6656e+002, 1.3997e+003, 1.8662e+003, 3.2659e+003 },
{ 3.2659e+003, 4.1990e+003, 3.2659e+003, 1.3997e+003, 4.6656e+002, 1.3997e+003, 3.2659e+003, 5.5987e+003, 6.0653e+003, 7.4650e+003, 6.0653e+003, 5.5987e+003, 3.2659e+003, 1.8662e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.8662e+003 },
{ 4.6656e+002, 4.6656e+002, 1.8662e+003, 3.2659e+003, 3.2659e+003, 1.8662e+003, 1.3997e+003, 4.6656e+002, 6.5358e-012, 4.6656e+002, 1.3997e+003, 3.2659e+003, 4.1990e+003, 6.0653e+003, 5.5987e+003, 6.0653e+003, 4.1990e+003, 3.2659e+003 }
};
Munkres m = new Munkres(costMatrix.ToJagged());
Assert.AreEqual(18, m.NumberOfTasks);
Assert.AreEqual(18, m.NumberOfWorkers);
Assert.AreEqual(18 * 18, m.NumberOfVariables);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(6998.4200000000255, m.Value, 1e-5);
int[] expected = { 3, 18, 2, 4, 17, 8, 12, 6, 10, 14, 15, 9, 13, 7, 11, 5, 16, 1 };
for (int i = 0; i < expected.Length; i++)
{
Assert.AreEqual(expected[i] - 1, m.Solution[i]);
}
}
public void large_test_1()
{
double[][] costMatrix =
{
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
};
Munkres m = new Munkres(costMatrix);
Assert.AreEqual(18, m.NumberOfTasks);
Assert.AreEqual(18, m.NumberOfWorkers);
Assert.AreEqual(18 * 18, m.NumberOfVariables);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(7931.5200000000032, m.Value);
int[] expected = { 1, 2, 18, 14, 13, 7, 5, 10, 17, 4, 12, 8, 6, 11, 16, 15, 3, 9 };
for (int i = 0; i < expected.Length; i++)
{
Assert.AreEqual(expected[i] - 1, m.Solution[i]);
}
}
public void minimize_test_more_jobs()
{
double[][] costMatrix =
{
new double[] { 1, 2, 3, 4 },
new double[] { 2, 4, 6, 8 },
new double[] { 3, 6, 9, 12 },
};
var m = new Munkres(costMatrix);
Assert.AreEqual(4, m.NumberOfTasks);
Assert.AreEqual(3, m.NumberOfWorkers);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(10, m.Value);
Assert.AreEqual(2, m.Solution[0]);
Assert.AreEqual(1, m.Solution[1]);
Assert.AreEqual(0, m.Solution[2]);
}
public void minimize_invalid_row()
{
double inf = Double.PositiveInfinity;
double[][] costMatrix =
{
new double[] { 1.0, inf, inf, inf },
new double[] { 3.0, inf, inf, inf },
new double[] { 1.0, inf, 5.0, 0.5 },
};
var m = new Munkres(costMatrix);
Assert.AreEqual(3, m.NumberOfTasks);
Assert.AreEqual(3, m.NumberOfWorkers);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(1.5, m.Value);
Assert.IsTrue(m.starZ.IsEqual(new[] { 0, 1, 2 }));
Assert.IsTrue(m.Solution.IsEqual(new[] { 0, Double.NaN, 2 }));
}
public void minimize_test3()
{
// http://csclab.murraystate.edu/~bob.pilgrim/445/munkres.html
double[][] costMatrix =
{
new double[] { 1, 2, 3 },
new double[] { 2, 4, 6 },
new double[] { 3, 6, 9 },
};
var m = new Munkres(costMatrix);
Assert.AreEqual(3, m.NumberOfTasks);
Assert.AreEqual(3, m.NumberOfWorkers);
bool success = m.Minimize();
Assert.IsTrue(success);
Assert.AreEqual(10, m.Value);
Assert.AreEqual(2, m.Solution[0]);
Assert.AreEqual(1, m.Solution[1]);
Assert.AreEqual(0, m.Solution[2]);
}
/// <summary>
/// Learns a model that can map the given inputs to the desired outputs. Note:
/// the model created by this function will not be able to produce balanced
/// clusterings. To retrieve the balanced labels, check the <see cref="Labels"/>
/// property of this class after calling this function.
/// </summary>
///
/// <param name="x">The model inputs.</param>
/// <param name="weights">The weight of importance for each input sample.</param>
///
/// <returns>A model that has learned how to produce suitable outputs
/// given the input data <paramref name="x" />.</returns>
///
public override KMeansClusterCollection Learn(double[][] x, double[] weights = null)
{
// Initial argument checking
if (MaxIterations == 0)
{
throw new InvalidOperationException("MaxIterations must be higher than zero. The Balanced K-Means algorithm has a high chance of oscillating between possible answers without converging.");
}
if (x == null)
{
throw new ArgumentNullException("x");
}
if (x.Length < K)
{
throw new ArgumentException("Not enough points. There should be more points than the number K of clusters.");
}
if (weights == null)
{
weights = Vector.Ones(x.Length);
}
else
{
if (x.Length != weights.Length)
{
throw new ArgumentException("Data weights vector must be the same length as data samples.");
}
}
double weightSum = weights.Sum();
if (weightSum <= 0)
{
throw new ArgumentException("Not enough points. There should be more points than the number K of clusters.");
}
if (!x.IsRectangular())
{
throw new DimensionMismatchException("data", "The points matrix should be rectangular. The vector at position {} has a different length than previous ones.");
}
int k = this.K;
int rows = x.Length;
int cols = x[0].Length;
// Perform some iterations of the original k-Means
// algorithm if the model has not been initialized
//
if (this.Clusters.Centroids[0] == null)
{
base.Learn(x);
}
// Initial variables
int[] labels = new int[rows];
double[] count = new double[k];
double[][] centroids = Clusters.Centroids;
double[][] newCentroids = Jagged.Zeros(k, cols);
Iterations = 0;
bool shouldStop = false;
// We will solve the problem of assigning N data points
// to K clusters where the cost will be their distance.
this.munkres = new Munkres(x.Length, x.Length)
{
Tolerance = Tolerance
};
while (!shouldStop) // Main loop
{
Array.Clear(count, 0, count.Length);
for (int i = 0; i < newCentroids.Length; i++)
{
Array.Clear(newCentroids[i], 0, newCentroids[i].Length);
}
// Set the cost matrix for Munkres algorithm
GetDistances(Distance, x, centroids, k, munkres.CostMatrix);
munkres.Minimize(); // solve the assignment problem
// Get the clustering from the assignment
GetLabels(x, k, munkres.Solution, labels);
// For each point in the data set,
for (int i = 0; i < x.Length; i++)
{
// Get the point
double[] point = x[i];
double weight = weights[i];
// Get the nearest cluster centroid
int c = labels[i];
if (c >= 0)
{
// Get the closest cluster centroid
double[] centroid = newCentroids[c];
// Increase the cluster's sample counter
count[c] += weight;
// Accumulate in the cluster centroid
for (int j = 0; j < point.Length; j++)
{
centroid[j] += point[j] * weight;
}
}
}
// Next we will compute each cluster's new centroid
// by dividing the accumulated sums by the number of
// samples in each cluster, thus averaging its members.
Parallel.For(0, newCentroids.Length, ParallelOptions, i =>
{
double sum = count[i];
if (sum > 0)
{
for (int j = 0; j < newCentroids[i].Length; j++)
{
newCentroids[i][j] /= sum;
}
}
});
// The algorithm stops when there is no further change in the
// centroids (relative difference is less than the threshold).
shouldStop = converged(centroids, newCentroids);
// go to next generation
for (int i = 0; i < centroids.Length; i++)
{
for (int j = 0; j < centroids[i].Length; j++)
{
centroids[i][j] = newCentroids[i][j];
}
}
}
for (int i = 0; i < Clusters.Centroids.Length; i++)
{
// Compute the proportion of samples in the cluster
Clusters.Proportions[i] = count[i] / weightSum;
}
this.Labels = labels;
ComputeInformation(x, labels);
return(Clusters);
}
public void findZerosTest()
{
double[][] costMatrix =
{
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
new[] { 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000 },
new[] { 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000 },
new[] { 466.560000000000, 1399.68000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
new[] { 1866.24000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 3265.92000000000, 1866.24000000000, 1399.68000000000, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 1866.24000000000, 3265.92000000000 },
new[] { 3265.92000000000, 1399.68000000000, 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000 },
new[] { 466.560000000000, 1399.68000000000, 3265.92000000000, 4199.04000000000, 3265.92000000000, 1399.68000000000, 466.560000000000, 0.00000000000000, 466.560000000000, 1866.24000000000, 3265.92000000000, 5598.72000000000, 6065.28000000000, 7464.96000000000, 6065.28000000000, 5598.72000000000, 3265.92000000000, 1866.24000000000 },
};
var minRow = Matrix.Min(costMatrix, dimension: 1);
var minCol = Matrix.Min(costMatrix.Subtract(minRow, dimension: 0), dimension: 0);
double[][] min;
bool[][] M = Munkres.findZeros(costMatrix, minRow, minCol, out min);
double[,] expectedMin =
{
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
{ 0, 466.560000000000, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 0, 466.560000000000, 466.560000000000, 466.560000000000, 1399.68000000000, 466.560000000000, 466.560000000000 },
};
Assert.AreEqual(min[2][6], expectedMin[2, 6]);
Assert.IsTrue(min.IsEqual(expectedMin));
int[,] expectedM =
{
{ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 },
{ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 },
{ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 },
{ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 },
{ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 },
{ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 },
{ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
};
Assert.AreEqual(M[2][6] ? 1 : 0, expectedM[2, 6]);
Assert.IsTrue(M.IsEqual(expectedM));
}
