1. A processor-implemented method, comprising: sending a signal to cause a user interface to render a representation of a probabilistic network security measure of each network element from a set of network elements within a network security assessment graph; receiving an indication via the user interface of a change related to the network security assessment graph; determining a group of influenced network elements from the set of network elements in response to the change related to the network security assessment graph based on a factor matrix that represents a joint threat and safety probabilities for the set of network elements, the factor matrix including a factor indicative of a correlation between a pair of network elements from the set of network elements; dynamically updating the factor matrix for the group of influenced network elements to produce an updated factor matrix; dynamically updating the probabilistic network security measure for each network element from the set of network elements to produce an updated probabilistic network security measure for each network from the set of network elements based at least in part on the updated factor matrix and the change related to the network security assessment graph; and sending a signal to cause the user interface to render a representation of the updated probabilistic network security measure for each network element from the set of network elements within the network security assessment graph.