Sparse Event Modeling with Hierarchical Bayesian Kernel Methods

Abstract

The research objective of this proposal was to develop a predictive Bayesian kernel approach to model count data based on several predictive variables. Such an approach, which we refer to as the Poisson Bayesian kernel model, is able to model the rate of occurrence of events (and subsequently, their likelihood of occurrence) based on historical evidence of the counts of previous event occurrences. The novel Bayesian kernel methods made use of: (i) the Bayesian property of improving predictive accuracy as data are dynamically obtained, and (ii) the kernel function which adds specificity to the model and can make nonlinear data more manageable. Early results show that the Poisson Bayesian kernel model is more effective than the Poisson generalized linear model at modeling rates of occurrence especially for small datasets where regression-based methods often fail. The ability to model sparse data sets represents a positive step in modeling low-likelihood events often encountered in risk analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 2016
Accession Number
AD1008781

Entities

People

  • Kash Barker

Organizations

  • University of Oklahoma

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Accuracy
  • Binomials
  • Case Studies
  • Data Analysis
  • Data Sets
  • Engineering
  • Information Science
  • Infrastructure
  • Inland Waterways
  • Kernel Functions
  • Probability
  • Probability Distributions
  • Risk
  • Risk Analysis
  • Students
  • Training
  • Transportation

Fields of Study

  • Computer science

Readers

  • Computational Modeling and Simulation
  • Distributed Systems and Data Platform Development
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference