DSC_BIRCH: Balanced Iterative Reducing Clustering using Hierarchies

In stream: Infrastructure for Data Stream Mining

Balanced Iterative Reducing Clustering using Hierarchies

Description

Micro Clusterer. BIRCH builds a balanced tree of Clustering Features (CFs) to summarize the stream.

Usage

DSC_BIRCH(
  formula = NULL,
  threshold,
  branching,
  maxLeaf,
  maxMem = 0,
  outlierThreshold = 0.25
)

Arguments

formula	NULL to use all features in the stream or a model formula of the form ~ X1 + X2 to specify the features used for clustering. Only ., + and - are currently supported in the formula.
threshold	threshold used to check whether a new data point can be absorbed or not.
branching	branching factor (maximum amount of child nodes for a non-leaf node) of the CF-Tree.
maxLeaf	maximum number of entries within a leaf node
maxMem	memory limitation for the whole CFTree in bytes. Default is 0, indicating no memory restriction.
outlierThreshold	threshold for identifying outliers when rebuilding the CF-Tree.

Details

A CF in the calanced tree is a tuple (n, LS, SS) which represents a cluster by storing the number of elements (n), their linear sum (LS) and their squared sum (SS). Each new observation descends the tree by following its closest CF until a leaf node is reached. It is either merged into its closest leaf-CF or inserted as a new one. All leaf-CFs form the micro-clusters. Rebuilding the tree is realized by inserting all leaf-CF nodes into a new tree structure with an increased threshold.

Author(s)

Dennis Assenmacher ([e-mail]), Matthias Carnein ([e-mail])

References

Zhang T, Ramakrishnan R and Livny M (1996), "BIRCH: An Efficient Data Clustering Method for Very Large Databases", In Proceedings of the 1996 ACM SIGMOD International Conference on Management of Data. Montreal, Quebec, Canada , pp. 103-114. ACM.

Zhang T, Ramakrishnan R and Livny M (1997), "BIRCH: A new data clustering algorithm and its applications", Data Mining and Knowledge Discovery. Vol. 1(2), pp. 141-182.

See Also

Other DSC_Micro: DSC_BICO(), DSC_DBSTREAM(), DSC_DStream(), DSC_Micro(), DSC_Sample(), DSC_Window(), DSC_evoStream()

Examples

stream <- DSD_Gaussians(k = 3, d = 2)

BIRCH <- DSC_BIRCH(threshold = .1, branching = 8, maxLeaf = 20)
update(BIRCH, stream, n = 500)
BIRCH

plot(BIRCH, stream)

stream documentation built on March 7, 2023, 6:09 p.m.