Pattern Detection for Point Processes

Abstract

To understand how the brain processes information, it is often necessary to search for neural activity that exhibits certain patterns. This is in particular important for the study on the mechanisms of sleep. The problem can be formulated as detection of patterned clusters of points ("targets"). I will describe pattern detection for point processes, considering respectively short and long targets which require different probability models. The models give rise to many probability problems and I will present some results on large deviations. The application of pattern matching will be illustrated, including a phenomenon of sleep "preplay", besides the well-known phenomenon of sleep "replay".