Accumulate values of "neigborhood" from edgelist with numpy
Question
I have a undirected network where each node can be one of k types. For each node i, I need to calculate the number of neighbors that node i has of each type.
Right now I am representing the edges with an edgelist where the columns are indexes of the nodes. The nodes are represented as a n x k matrix, where each column represents a node type. If a node is of type k then the kth column's value is 1, 0 otherwise.
Here's my current code, which is correct, but too slow.
# example nodes and edges, both typically much longer
nodes = np.array([[0, 0, 1],
[0, 1, 0],
[1, 0, 0]])
edges = np.array([[0, 1],
[1, 2]])
neighbors = np.zeros_like(nodes)
for i, j in edges:
neighbors[i] += nodes[j]
neighbors[j] += nodes[i]
Is there some clever numpy that would allow me to avoid this for loop? If the best way to do this is with an adjacency matrix, that is also acceptable.
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Answers to Accumulate values of "neigborhood" from edgelist with numpy ( 2 )
If I understand your question correctly, the numpy_indexed package (disclaimer: I am its author) has a fast and elegant solution to this:
In general, operations on graphs, or algorithms involving jaggedarrays, can often be efficiently and elegantly expressed using groupingoperations.
You can simply use
np.add.at
