| CPC G06F 16/9024 (2019.01) [G06F 8/457 (2013.01); G06F 9/46 (2013.01); G06F 9/5005 (2013.01); G06F 11/1451 (2013.01); G06F 11/1464 (2013.01); G06F 11/1469 (2013.01); G06F 15/17312 (2013.01); G06F 16/00 (2019.01); G06F 16/2282 (2019.01); G06F 16/23 (2019.01); G06F 16/2365 (2019.01); G06F 16/27 (2019.01); G06N 20/00 (2019.01); G06N 99/00 (2013.01); G06T 11/206 (2013.01); H04L 5/0032 (2013.01); H04L 67/10 (2013.01); G06F 7/00 (2013.01); G06F 11/1448 (2013.01); G06F 11/2082 (2013.01); G06F 16/9027 (2019.01); G06F 21/1087 (2023.08); G06F 2201/84 (2013.01); G06T 2210/32 (2013.01)] | 20 Claims |

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1. A computer-implemented method that when executed on data processing hardware causes the data processing hardware to perform operations comprising:
maintaining data in a distributed computing system, the data representing a directed graph comprising a plurality of vertices connected by a plurality of directed edges representing relationships among the plurality of vertices, each respective vertex of the plurality of vertices comprising a set of label values indicating a strength of association between the respective vertex and a set of labels, each respective directed edge comprising a set of label weights for influencing label values traversing the respective directed edge;
receiving, from a first computing system via a network, an incoming message comprising a user-defined parameter and one or more weighted label values for a first label in the set of labels for a respective source vertex of the plurality of vertices;
determining an updated label value for the first label using the user-defined parameter and a sum of the one or more weighted label values;
determining that the updated label value satisfies a threshold value;
based on determining that the updated label value satisfies the threshold value, sending an outgoing message comprising the updated label value to a second computing system via the network, wherein the outgoing message is configured to cause the second computing system to update a respective set of label values associated with a respective target vertex of the plurality of vertices based on the updated label value of the outgoing message; and
updating the data representing the directed graph in the distributed computing system based on the updated respective set of label values associated with the respective target vertex.
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