mch

PURPOSE

Maximum Clusterability Hyperplane

SYNOPSIS

function [idx,sol] = mch(X, varargin)

DESCRIPTION

Maximum Clusterability Hyperplane
[IDX,SOL] = MCH(X, VARARGIN)

  [IDX,SOL] = MCH(X) bi-partitions the points in the N-by-D data matrix (X) with
  the hyperplane that maximises the Variance Ratio clusterability criterion.

  MCH returns a vector IDX containing the binary cluster assignment and a
  Maximum Clusterability Hyperplane (mchp) object SOL. (If S initial projection
  vectors are specified S maximum clusterability hyperplanes are returned: see 'v0')

  SOL = MCH(X, 'PARAM1',val1, 'PARAM2',val2, ...) specifies optional parameters
  in the form of name/value pairs.

  OPTIONAL PARAMETERS:
  'v0' - D-by-S matrix of S initial projection vectors
       (default: Vector connecting centroids of 2-means clustering)

  'minsize' - Minimum cluster size (integer)
    (default minsize = 1)

  'maxit' - Number of BFGS iterations to perform for each value of alpha (default: 50)

  'ftol' - Stopping criterion for change in objective function value over consecutive iterations
    (default: 1.e-7)

  'verb' - Verbosity. Values greater than 0 enable visualisation during execution
    (default: 0)

  'labels' - true cluster assignment. Enables the computation of performance over 
    successive iterations and a better visualisation of how clusters are split

  'colours' - Matrix containing colour specification for observations in different clusters
    Number of rows must be equal to the number of true clusters (if 'labels' has been specified) or equal to 2.

CROSS-REFERENCE INFORMATION

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