An apparatus for monitoring a plurality of devices that use a plurality of networks includes a network interface and a processor. The processor is configured to receive, via the network interface, a plurality of packets that were collectively communicated, from the devices, via all of the networks, to aggregate the packets, using at least one field that is included in respective packet headers of the packets, into a plurality of packet aggregations, such that all of the packets in each one of the packet aggregations were collectively communicated from no more than one of the devices, to group the packet aggregations into a plurality of groups, such that there is a one-to-one correspondence between the groups and the devices, in that all of the packets in each of the groups were collectively communicated from a different respective one of the devices, and to generate an output in response thereto.