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When Pipes Speak in Probabilities: Teaching Graphs to Explain Their Leaks

A pipe rarely announces failure politely. It does not send a memo saying, “Junction 14 is leaking, please dispatch a crew before lunch.” It changes pressure. It disturbs flow. It leaves small traces across a network where every junction and pipe is connected to everything else by physics, topology, and the usual municipal habit of maintaining critical infrastructure with budget constraints that appear to have been designed by a medieval ascetic. ...

January 7, 2026 · 16 min · Zelina