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Topics in Pattern Recognition and Machine Learning

Bayes Decision Rule

Short Description

The course on Topics in Pattern Recognition and Machine Learning first briefly summarizes the main concepts of statistical pattern recognition and machine learning. Next selected topics will be presented in detail. The choice of topics depends on current research activities and thus may change over time. Examples of such topics to be studied in detail include

  • Model estimation in the presence of hidden variables, in order to reveal suspected latent structure buried in the data
  • Bias-Variance dilemma and the tradeoff between degree of detail and generalizability of models
  • Grafical models
  • Sequential data and hidden Markov models
  • Specific classification tasks, such as automatic speech recognition

While the first part of the course will follow a regular lecture format, the second part will include active student participation. Students will be asked to read, analyze and present recently published papers from the pattern recognition and machine learning literature. This will often also include the implementation of proposed algorithms in Matlab.

Contents

  • Fundamentals of statistical pattern recognition: Bayes rule, learning of class-conditional densities, linear models for classification and regression
  • EM Algorithm and extensions thereof
  • Models with discrete or continuous latent variables; GMM, NMF
  • Bias-Variance dilemma and model selection
  • Graphical models
  • Hidden Markov models
  • Deep neural networks
  • Recent publications in pattern recognition and machine learning

Learning Outcomes & Competences

After completion of the course students will be able to

  • choose an appropriate classifier for a given classification problem and be able to learn the parameters of the classifier from training data
  • choose an appropriate regression method for function approximation and learn its parameters from training data
  • search for latent variables and structure in given data
  • make an informative choice for the model order to find a good compromise between degree of detail and generalizabliliy
  • comprehend and analyze recent publications from the field of pattern recognition and machine learning

The students

  • have gathered an understanding of the importance of the chosen model order on the outcome of classification and regression tasks
  • are aware of the impact of a priori assumptions on the result of latent variable and structure discovery in data
  • are able to autonomously gain expertise in a certain field of pattern recognition by conducting a literature survey
  • can gauge the importance of a given publication for the state of the art in a field
  • are able to apply the knowledge and skills learnt in this course to a wide range of disciplines

Implementation

  • Lectures predominantly using the blackboard or overhead projector, occasional presentations of (PowerPoint) slides ,
  • Exercise classes with exercise sheets and demonstrations on computer
  • Instructions how to read and analyze scientific publications in this field
  • Autonomous analysis of publications and presentation of results and gained insight

Proposed literature

  • R.O. Duda, P.E. Hart, D.G.~ Stork,  Pattern   Classification, Wiley, 2001
  • K. Fukunaga, Introduction to Statistical Pattern Recognition, Academic Press, 1990
  • C. M. Bishop, Pattern Recognition and Machine Learning, Springer, 2006

General Information

  • Course for Master students
  • ECTS: 6
  • Language: German or English (on demand)
  • Semester: Winter semester

The University for the Information Society