Title
Estimating a state-space model from point process observations: a note on convergence.
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.
Year
DOI
Venue
2010
10.1162/neco.2010.07-09-1047
Neural Computation
Keywords
Field
DocType
optimal solution,em iteration,data-driven model,neural spike,discrete event,point process observation,maximum likelihood,underlying state sequence,physiological signal,continuous underlying system,state-space model,state space model,em algorithm,expectation maximization,point process,global optimization
Convergence (routing),Mathematical optimization,Expectation–maximization algorithm,State-space representation,Point process,Models of neural computation,Algorithm,Discrete time and continuous time,Artificial neural network,State space,Mathematics,Calculus
Journal
Volume
Issue
ISSN
22
8
1530-888X
Citations 
PageRank 
References 
4
0.56
5
Authors
2
Name
Order
Citations
PageRank
Ke Yuan1293.80
Mahesan Niranjan2775120.43