Inferring oscillatory modulation in neural spike trains
Fig 5
A) limiting case where models are not identifiable. The spike train in A is nearly periodic, but generated without an oscillatory modulation. When using the standard knots, the latent state amplitude approaches 0, B, but when we use a fixed history that is very different than the ground truth, C, the sampled parameters appear to be very certain, and an oscillation at 62Hz, nearly the spiking frequency, 64hz, is inferred. For cases where the spike train itself is nearly periodic, the spike train may be described equally well with various combinations of spike histories and an oscillation at the spiking frequency.