Innovative Statistical Inference for Anomaly Detection in Hyperspectral Imagery

Abstract

A statistical motivated idea is proposed and its application to hyperspectral imagery is presented, as a viable alternative to testing a two-sample hypothesis using conventional methods. This idea led to the design of two novel algorithms for object detection. The first algorithm, referred to as semiparametric (SemiP), is based on some of the advances made on semiparametric inference. A logistic model, based on case-control data, and its maximum likelihood method are presented, along with the analysis of its asymptotic behavior. The second algorithm, referred to as an approximation to semiparametric (AsemiP), is based on fundamental theorems from large sample theory and is designed to approximate the performance properties of the SemiP algorithm. Both algorithms have a remarkable ability to accentuate local anomalies in a scene. The AsemiP algorithm is particularly more appealing, as it replaces complicated SemiP's equations with simpler ones describing the same phenomenon. Experimental results using real hyperspectral data are presented to illustrate the effectiveness of both algorithms.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2004
Accession Number
ADA427979

Entities

People

  • Dalton Rosario

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Anomaly Detection
  • Change Detection
  • Data Science
  • Detection
  • Detectors
  • Electromagnetic Spectra
  • Equations
  • Hyperspectral Imagery
  • Information Science
  • Mathematics
  • Random Variables
  • Short-Wavelength Infrared Radiation
  • Spectra
  • Statistical Algorithms
  • Statistical Inference
  • Statistics

Readers

  • Image Processing and Computer Vision.
  • Neural Network Machine Learning.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms