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silhouette

Silhouette cluster analysis implementation in Go

What It Does

Silhouette refers to an algorithm used to interpret and validate the consistency within clusters of data.

The silhouette value is a measure of how similar an object is to its own cluster compared to other clusters. The silhouette ranges from −1 to +1, where a high value indicates that the object is well matched to its own cluster and poorly matched to neighboring clusters.

If most objects have a high value, then the clustering configuration is appropriate. If many points have a low or negative value, then the clustering configuration may have too many or too few clusters.

When You Should Use It

  • When you have numeric, multi-dimensional data sets
  • If you want to check whether your data set is clustered
  • When you have a vague idea of the clustering in your data set
  • You want to figure out the optimal clustering configuration

Example

import (
    "github.com/muesli/silhouette"
    "github.com/muesli/clusters"
    "github.com/muesli/kmeans"
)

// initialize your data set
// for the example we'll use three distinct clusters of data points
var d clusters.Observations
for x := 0; x < 64; x++ {
	d = append(d, clusters.Coordinates{
		rand.Float64() * 0.1,
		rand.Float64() * 0.1,
	})
}
for x := 0; x < 64; x++ {
	d = append(d, clusters.Coordinates{
		0.5 + rand.Float64()*0.1,
		0.5 + rand.Float64()*0.1,
	})
}
for x := 0; x < 64; x++ {
	d = append(d, clusters.Coordinates{
		0.9 + rand.Float64()*0.1,
		0.9 + rand.Float64()*0.1,
	})
}

// silhouette will theoretically work with multiple clustering algorithms
// it's commonly used with k-means
km := kmeans.New()

// compute the average silhouette score (coefficient) for 2 to 8 clusters, using
// the k-means clustering algorithm
scores, err := silhouette.Scores(d, 8, km)
for _, s := range scores {
    fmt.Printf("k: %d (score: %.2f)\n", s.K, s.Score)
}

// estimate the amount of clusters in our data set
// this returns the k with the highest score (where 2 <= k <= 8)
k, score, err := silhouette.EstimateK(d, 8, km)

// k is usually 3 for this example, with a score close to 1.0
// note that k-means doesn't always converge optimally
...
}

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Silhouette cluster analysis implementation in Go

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