Conditional Inference for Assessing the Statistical Significance of Neural Spiking Patterns Matthew Harrison Carnegie Mellon University Conditional inference has proven useful for exploratory analysis of neurophysiological point process data. I will illustrate this approach and then focus on a specific sub-problem: random generation of binary matrices with margin constraints. Sequential importance sampling (SIS) is an effective technique for approximate uniform sampling of binary matrices with specified margins. I will describe how to simplify and improve existing SIS procedures using improved asymptotic enumeration and dynamic programming (DP). The DP approach is interesting because it facilitates generalizations.