The talk discusses the application of artificial intelligence and machine learning to enterprise cybersecurity. The topics include self-learning, stochastic cellular automata, adaptive & self-organising systems and recursive Bayesian algorithms. The talk briefly surveys several cybersecurity companies including Darktrace, Logrhythm and Norse Corporation. There is also discussion of the application of AI and neural networks within the Banking sector for "Algorithmic Trading" during the last 10 to 20 years. These techniques are now highly relevant, and even ESSENTIAL, for the provision of real-time enterprise cybersecurity to complement traditional "signature" based anti-virus & firewall based solutions. The talk closes with the presentations for the future of Cybersecurity in 2020, 2025 and 2040 including reference to similar forecasts from both Business & Governments. The talk was given by Dr David Eric Probert at the East-West International Security Conference at the Melia Galgos Hotel in Madrid, Spain on the Tuesday 27th October 2015.