[英]comparing three diagonal array and find which two are most similar
I have three diagonal arrays A,B,C
all are double
of size 508X508
. 我有三个对角阵列A,B,C
都是double
尺寸的508X508
。 All the values above the principal diagonal are non-zero, and every other cell holds zero. 主对角线上的所有值都不为零,每个其他像元都为零。
Data in both A and B
are collected from sensor in Day-1 and then Day-2. A and B
中的数据均在第1天和第2天从传感器收集。 Meanwhile, the optimal data are stored in C
. 同时,最佳数据存储在C
。
My question is how to find which of the arrays A,B
is more similar to C
??? 我的问题是如何找到数组A,B
哪个更类似于C
?
What is the best statistical method to achieve that, if possible maybe a C# code snap ? 如果可能的话,最好的统计方法是什么?
I think Corak pointed you to the right way. 我认为Corak为您指明了正确的方向。 Just select a distance measure, compute the total sum of distances for each matrix. 只需选择一个距离度量,计算每个矩阵的距离总和即可。
Try something like this 试试这个
public double ComputeArrayDistance(double[,] firstArray, double[,] secondArray)
{
// some quick and dirty guardClauses to prevent hedaches
if (firstArray.GetLength(0) != firstArray.GetLength(1)) throw new ArgumentException("the first array is not squared ..");
if (secondArray.GetLength(0) != secondArray.GetLength(1)) throw new ArgumentException("the second array is not squared ..");
if (firstArray.GetLength(0) != secondArray.GetLength(0)) throw new ArgumentException("the size of two array don't match");
double totalDistance = 0;
// if the array(matrix) is lower triangular
for(int i = 0; i < firstArray.GetLength(0); i++)
{
for(int j = 0; j <= i; j++ )
{
totalDistance += this.GetDistance(firstArray[i, j], secondArray[i, j]);
}
}
return totalDistance;
}
private double GetDistance(double elemOne, double elemTwo)
{
// an acceptable measure should be the square of the difference
return Math.Pow((elemOne - elemTwo), 2);
}
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