Abstract: A computing element array system includes an array of computing elements connected by connections. Each computing element has a control circuit, a storage circuit, and an operation circuit and the connections each connect two computing elements. The storage circuit can input and store a data packet comprising a data value and a target-tag from one of the connections. The operation circuit can perform an operation on the data value to form a processed data value. The target-tag specifies a computing element to perform the operation on the data value. The control circuit can identify a computing element from the target-tag, enable the operation circuit to process the data value if the identified computing element matches the computing element, modify the data packet to comprise the processed data value, and enable the output of the modified data packet on one of the connections.