Estimating a state-space model from point process observations: A note on convergence

  • Authors:
  • Ke Yuan;Mahesan Niranjan

  • Affiliations:
  • -;-

  • Venue:
  • Neural Computation
  • Year:
  • 2010

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Abstract

Physiological signals such as neural spikes and heartbeats are discrete events in time, driven by continuous underlying systems. A recently introduced data-driven model to analyze such a system is a state-space model with point process observations, parameters of which and the underlying state sequence are simultaneously identified in a maximum likelihood setting using the expectation-maximization (EM) algorithm. In this note, we observe some simple convergence properties of such a setting, previously un-noticed. Simulations show that the likelihood is unimodal in the unknown parameters, and hence the EM iterations are always able to find the globally optimal solution.