contingency_graph

graph_tool.inference.contingency_graph(x, y)

Returns the contingency graph between both partitions.

Parameters:

xiterable of int values or PropertyMap

First partition.

yiterable of int values or PropertyMap

Second partition.

Returns:

gGraph

Contingency graph, containing an internal edge property map mrs with the weights, an internal vertex property map label with the label values, and an internal boolean vertex property map partition indicating the partition membership.

Notes

The contingency graph is a bipartite graph with the labels of \(\boldsymbol x\) and \(\boldsymbol y\) as vertices, and edge weights given by

\[m_{rs} = \sum_i\delta_{x_i,r}\delta_{y_i,s}.\]

This algorithm runs in time \(O(N)\) where \(N\) is the length of \(\boldsymbol x\) and \(\boldsymbol y\).

Examples

>>> x = np.random.randint(0, 10, 1000)
>>> y = np.random.randint(0, 10, 1000)
>>> g = gt.contingency_graph(x, y)
>>> g.ep.mrs.a
PropertyArray([ 8, 10,  4, 11,  8, 11, 15, 12, 14, 11,  8, 12,  9,  9, 11,
               14, 10,  9, 16,  8, 12, 16, 15, 13, 12,  7, 11, 13, 18,  9,
                9,  9, 14, 10, 11,  8,  6,  7, 11, 11,  8, 11, 14, 12,  8,
                7,  7,  8,  8, 12, 10, 11,  8, 15,  6, 13, 14, 14,  8, 10,
                8, 11,  7,  6, 10, 13, 10, 13,  6, 11, 15,  5,  4, 10, 13,
                8,  8,  9, 14,  8,  6, 11,  7,  8, 15, 10,  9,  7,  8, 11,
               10, 11,  9,  8,  8, 10,  7,  8,  3,  9])