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  2. Elbow method (clustering) - Wikipedia

    en.wikipedia.org/wiki/Elbow_method_(clustering)

    The elbow method is considered both subjective and unreliable. In many practical applications, the choice of an "elbow" is highly ambiguous as the plot does not contain a sharp elbow. [ 2 ] This can even hold in cases where all other methods for determining the number of clusters in a data set (as mentioned in that article) agree on the number ...

  3. Determining the number of clusters in a data set - Wikipedia

    en.wikipedia.org/wiki/Determining_the_number_of...

    Explained Variance. The "elbow" is indicated by the red circle. The number of clusters chosen should therefore be 4. The elbow method looks at the percentage of explained variance as a function of the number of clusters: One should choose a number of clusters so that adding another cluster does not give much better modeling of the data.

  4. Automatic clustering algorithms - Wikipedia

    en.wikipedia.org/wiki/Automatic_Clustering...

    If the chart looks like an arm, the best value of k will be on the "elbow". [2] Another method that modifies the k-means algorithm for automatically choosing the optimal number of clusters is the G-means algorithm. It was developed from the hypothesis that a subset of the data follows a Gaussian distribution. Thus, k is increased until each k ...

  5. Knee of a curve - Wikipedia

    en.wikipedia.org/wiki/Knee_of_a_curve

    Explained variance. The "elbow" is indicated by the red circle. The number of clusters chosen should therefore be 4. Photovoltaic solar cell I-V curves where a line intersects the knee of the curves where the maximum power transfer point is located.

  6. k-means clustering - Wikipedia

    en.wikipedia.org/wiki/K-means_clustering

    k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which each observation belongs to the cluster with the nearest mean (cluster centers or cluster centroid), serving as a prototype of the cluster.

  7. Spectral clustering - Wikipedia

    en.wikipedia.org/wiki/Spectral_clustering

    The general approach to spectral clustering is to use a standard clustering method (there are many such methods, k-means is discussed below) on relevant eigenvectors of a Laplacian matrix of . There are many different ways to define a Laplacian which have different mathematical interpretations, and so the clustering will also have different ...

  8. Fuzzy clustering - Wikipedia

    en.wikipedia.org/wiki/Fuzzy_clustering

    Fuzzy clustering (also referred to as soft clustering or soft k-means) is a form of clustering in which each data point can belong to more than one cluster.. Clustering or cluster analysis involves assigning data points to clusters such that items in the same cluster are as similar as possible, while items belonging to different clusters are as dissimilar as possible.

  9. k-nearest neighbors algorithm - Wikipedia

    en.wikipedia.org/wiki/K-nearest_neighbors_algorithm

    In statistics, the k-nearest neighbors algorithm (k-NN) is a non-parametric supervised learning method. It was first developed by Evelyn Fix and Joseph Hodges in 1951, [1] and later expanded by Thomas Cover. [2] Most often, it is used for classification, as a k-NN classifier, the output of which is a class membership