 Given a probability distribution for the inputs, can one find-possibly small-collections of input nodes that determine the states of most other nodes in the network?
<clarity>  Given a probability distribution for the inputs, can one find-possibly small-collections of input nodes that determine the states of most other nodes in the network?
 Given a probability distribution on the inputs, can one find-possibly small-collections of input nodes that determine the states of most other nodes in the network?