@article{lee2021anomaly, author = {Lee, Wesley and H. McCormick, Tyler and Neil, Joshua and Sodja, Cole and Cui, Yanran}, title = {Anomaly Detection in Large Scale Networks with Latent Space Models}, year = {2021}, month = {July}, abstract = {We develop a real-time anomaly detection algorithm for directed activity on large, sparse networks. We model the propensity for future activity using a dynamic logistic model with interaction terms for sender- and receiver-specific latent factors in addition to sender- and receiver-specific popularity scores; deviations from this underlying model constitute potential anomalies. Latent nodal attributes are estimated via a variational Bayesian approach and may change over time, representing natural shifts in network activity. Estimation is augmented with a case-control approximation to take advantage of the sparsity of the network and reduces computational complexity from $O(N^2)$ to $O(E)$, where $N$ is the number of nodes and $E$ is the number of observed edges. We run our algorithm on network event records collected from an enterprise network of over 25,000 computers and are able to identify a red team attack with half the detection rate required of the model without latent interaction terms.}, url = {http://approjects.co.za/?big=en-us/research/publication/anomaly-detection-in-large-scale-networks-with-latent-space-models/}, pages = {1-23}, journal = {Technometrics}, }