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Illustration of PDF Projection
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Contents
PDF Projection
Subsections
Illustration of PDF Projection
Mathematical Definition of PDF Projection
Problem Setup
Feature Transformation
Mathematical Notation
Reference Hypothesis
Feature PDF
The Projected PDF
Statement of the PDF Projection Theorem
Generation of Samples from
Optimality Conditions of the Theorem
Class-Specific Feature Classifier
Chain Rule
Implementation
The Fixed Reference Hypothesis and the PDF tail problem
The Saddle Point Approximation
Floating Reference Hypothesis
Data Normalization
Maximum likelihood and PDF Projection
J-function Types
One-to-one (invertible) transformations
Fixed reference hypothesis
Floating reference hypothesis modules
Maximum Likelihood Modules
Interpretation of the J-function
PDF Projection validation: the Acid test
PDF Projection Software Module Design
The module function
Computing the projected PDF
Multiple dimensions and segments or samples