Intrusion resilience is a protection strategy aimed at building systems that can continue to provide service during attacks. One approach to intrusion resilience is to continuously monitor a system's state and change its configuration to maintain service even while attacks are occurring. Intrusion detection, through both anomaly detection (for unknown attacks) and signature detection (for known attacks) is thus a crucial part of that resilience strategy. In this paper, we introduce KOBRA, an online anomaly detection engine that learns behavioral baselines for applications. KOBRA is implemented as a set of cooperative kernel modules that collects time-stamped process events. The process events are converted to a discrete-time signal in the polar space. We learn local patterns that occur in the data and then learn the normal co-occurrence relationships between the patterns. The patterns and the co-occurrence relations model the normal behavioral baseline of an application. We compute an anomaly score for tested traces and compare it against a threshold for anomaly detection. We evaluate the baseline by experimenting with its ability to discriminate between different processes and detect malicious behavior.