Physiological signals such as neural spikes and heart beats are discrete events in time, driven by a continuous underlying system. A recently introduced data driven model to analyse such systems is the state-space model with point process observations (SSPP), parameters of which and the underlying state sequence are simultaneously identified in a maximum likelihood setting using an approximate expectation-maximization (EM) algorithm. This thesis provides a detailed study on the property of SSPP under the EM setting. The results strongly suggest that the Bayesian treatment is more appropriate to avoid biased estimation. For this we develop the variational methods, and a range of efficient Markov chain Monte Carlo methods. The performance of these inference mechanisms is thoroughly tested on both synthetic and real world datasets.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:572755 |
| Date | January 2013 |
| Creators | Yuan, Ke |
| Contributors | Niranjan, Mahesan |
| Publisher | University of Southampton |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | https://eprints.soton.ac.uk/352932/ |
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