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pattern_classification

Examples for solving pattern classification problems in Python (IPython Notebooks)



# Sections • Statistical Pattern Recognition
   • Supervised Learning
      • Parametric Techniques
         • Univariate Normal Density
         • Multivariate Normal Density
      • Non-Parametric Techniques

   • Unsupervised Learning

 • Techniques for Dimensionality Reduction
   • Feature Selection
      • Sequential Feature Selection Algorithms
   • Projection
      • Component Analyses
          • Linear Transformation
              • Principal Component Analysis (PCA)
              • Multiple Discriminant Analysis (MDA)



# Statistical Pattern Recognition

## Supervised Learning

### Parametric Approach

#### Univariate Normal Density
## Example 1
Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Univariate data
  • 2-class problem
  • equal variances
  • equal priors
  • Gaussian model (2 parameters)
  • No Risk function

View IPython Notebook

Download PDF


Example 2

Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Univariate data
  • 2-class problem
  • different variances
  • equal priors
  • Gaussian model (2 parameters)
  • No Risk function

View IPython Notebook

Download PDF


Example 3

Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Univariate data
  • 2-class problem
  • equal variances
  • different priors
  • Gaussian model (2 parameters)
  • No Risk function

View IPython Notebook

Download PDF


Example 4

Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Univariate data
  • 2-class problem
  • different variances
  • different priors
  • Gaussian model (2 parameters)
  • With conditional Risk (loss functions)

View IPython Notebook

Download PDF


Example 5

Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Univariate data
  • 2-class problem
  • different variances
  • equal priors
  • Cauchy model (2 parameters)
  • With conditional Risk (1-0 loss functions)

View IPython Notebook

Download PDF


#### Multivariate Normal Density

Example 1

Problem Category:
  • Statistical Pattern Recognition
  • Supervised Learning
  • Parametric Learning
  • Bayes Decision Theory
  • Multivariate data (2-dimensional)
  • 2-class problem
  • different variances
  • equal prior probabilities
  • Gaussian model (2 parameters)
  • with conditional Risk (1-0 loss functions)

View IPython Notebook

Download PDF


#Techniques for Dimensionality Reduction

Feature Selection

Sequential Feature Selection Algorithms

View IPython Notebook

Download PDF


Projection

Component Analyses

Linear Transformation



Principal Component Analyses (PCA)



./Images/principal_component_analysis.png

View IPython Notebook



Multiple Discriminant Analysis (MDA)

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Examples for solving pattern classification problems in Python (IPython Notebooks)

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