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Module « scipy.cluster.hierarchy »

Fonction maxinconsts - module scipy.cluster.hierarchy

Signature de la fonction maxinconsts

def maxinconsts(Z, R) 

Description

help(scipy.cluster.hierarchy.maxinconsts)

Return the maximum inconsistency coefficient for each
non-singleton cluster and its children.

Parameters
----------
Z : ndarray
    The hierarchical clustering encoded as a matrix. See
    `linkage` for more information.
R : ndarray
    The inconsistency matrix.

Returns
-------
MI : ndarray
    A monotonic ``(n-1)``-sized numpy array of doubles.

See Also
--------
linkage : for a description of what a linkage matrix is.
inconsistent : for the creation of a inconsistency matrix.

Examples
--------
>>> from scipy.cluster.hierarchy import median, inconsistent, maxinconsts
>>> from scipy.spatial.distance import pdist

Given a data set ``X``, we can apply a clustering method to obtain a
linkage matrix ``Z``. `scipy.cluster.hierarchy.inconsistent` can
be also used to obtain the inconsistency matrix ``R`` associated to
this clustering process:

>>> X = [[0, 0], [0, 1], [1, 0],
...      [0, 4], [0, 3], [1, 4],
...      [4, 0], [3, 0], [4, 1],
...      [4, 4], [3, 4], [4, 3]]

>>> Z = median(pdist(X))
>>> R = inconsistent(Z)
>>> Z
array([[ 0.        ,  1.        ,  1.        ,  2.        ],
       [ 3.        ,  4.        ,  1.        ,  2.        ],
       [ 9.        , 10.        ,  1.        ,  2.        ],
       [ 6.        ,  7.        ,  1.        ,  2.        ],
       [ 2.        , 12.        ,  1.11803399,  3.        ],
       [ 5.        , 13.        ,  1.11803399,  3.        ],
       [ 8.        , 15.        ,  1.11803399,  3.        ],
       [11.        , 14.        ,  1.11803399,  3.        ],
       [18.        , 19.        ,  3.        ,  6.        ],
       [16.        , 17.        ,  3.5       ,  6.        ],
       [20.        , 21.        ,  3.25      , 12.        ]])
>>> R
array([[1.        , 0.        , 1.        , 0.        ],
       [1.        , 0.        , 1.        , 0.        ],
       [1.        , 0.        , 1.        , 0.        ],
       [1.        , 0.        , 1.        , 0.        ],
       [1.05901699, 0.08346263, 2.        , 0.70710678],
       [1.05901699, 0.08346263, 2.        , 0.70710678],
       [1.05901699, 0.08346263, 2.        , 0.70710678],
       [1.05901699, 0.08346263, 2.        , 0.70710678],
       [1.74535599, 1.08655358, 3.        , 1.15470054],
       [1.91202266, 1.37522872, 3.        , 1.15470054],
       [3.25      , 0.25      , 3.        , 0.        ]])

Here, `scipy.cluster.hierarchy.maxinconsts` can be used to compute
the maximum value of the inconsistency statistic (the last column of
``R``) for each non-singleton cluster and its children:

>>> maxinconsts(Z, R)
array([0.        , 0.        , 0.        , 0.        , 0.70710678,
       0.70710678, 0.70710678, 0.70710678, 1.15470054, 1.15470054,
       1.15470054])

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