Abstract #301414

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JSM 2003 Abstract #301414
Activity Number: 368
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #301414
Title: Pattern Filtering for Point Processes and Its Applications
Author(s): Zhiyi Chi*+
Companies: University of Chicago
Address: Department of Statistics, Chicago, IL, 60637,
Keywords: pattern detection ; filtering ; point process ; neuroscience
Abstract:

In various applications, including neuroscience and acoustic signal processing, a powerful method to analyze continuous data is to characterize it with a point process. Information can be retrieved from the data by detecting segments of the point process associated with the data that exhibit a certain temporal and/or spatial pattern. Such detection requires classification of each segment as target or nontarget, which is often computationally demanding. I will show that under a model in which the process consists of a mixture of local Poisson processes, the classification for individual segments can be reformulated as a linear convolution of the entire process with a filter, and targets can be located by the peaks in the filter response. To account for the variability of the targets as well as possible nonstationarity of the process, multiple filters are used followed by local tests for detected targets. Applications of this filtering approach will be demonstrated.

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