Explore statistical approaches for enhancing cyber-security defenses in this comprehensive lecture by Dr. Nick Heard from Imperial College London. Delve into the application of data science techniques for identifying and preventing cyber-attacks and network misuse within enterprise computer networks. Examine various statistical and probability model-based methods for analyzing cyber data, ranging from micro-level models of activity on individual graph edges to representations of full network graphs. Learn about different data sources available in enterprise networks, various levels of resolution in cyber-security analysis, and specific techniques such as automated edge detection, Bayesian mixture models, and intensity-based models. Discover related applications like topic modeling and Bayesian change detection, and gain insights into the importance of robustness and dynamic feature formation in cyber-security analytics.