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                      | Detailinformationen |  
                      | Quellcurriculum | Masterstudium Computer Science 2022W |  
                      | Ziele | (*)After this class, students will know and understand the basic concepts of a large and centrally  important class of methods in modern Artificial Intelligence: Probabilistic Graphical Models, used for representing and reasoning about uncertain information and knowledge in complex real-world scenarios. All three aspects related to such models will be covered: model semantics, inference, and learning. Both basic concepts and specific algorithms will be taught, and all methods will be derived in a mathematically rigorous way. Students will understand how such models can be used for problem modeling and solving, and what their limitations are. |  
                      | Lehrinhalte | (*)Elementary Concepts: Probability Distributions
Density Functions
(conditional) independence
Probabilistic Reasoning and Inference 
 Bayesian Networks: 
 Representation
Semantics 
Factorisation
 Inference in Bayesian Networks: 
 Approximate Inference: 
 Stochastic Sampling 
Markov Chain Monte Carlo (MCMC) Methods
 Learning Bayesian Networks: 
 Parameter Learning (maximum likelihood and Bayesian estimation)
Structure Learning
Generative vs. Discriminative Models
 Special Types of Bayes Nets: 
 Linear Gaussian Network Models
 Modelling and Predicting Temporal Processes: 
 Dynamic Bayes Networks
Hidden Markov Models
Kalman Filters
Particle Filters
Selected Applications of Probabilistic Graphical Models. 
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                      | Beurteilungskriterien | (*)Written exam at the end of the semester. |  
                      | Lehrmethoden | (*)Lecture series with written materials (presentation slides) provided regularly in electronic form. |  
                      | Abhaltungssprache | Englisch |  
                      | Literatur | (*)Koller, Daphne, and Friedman, Nir (2009). Probabilistic Graphical Models. Principles and Techniques. Cambridge, MA: MIT Press.
Russell, Stuart J. and Norvig, P. (2010). Artificial Intelligence: A Modern Approach (3rd Edition). Upper Saddle River, NJ: Prentice Hall. |  
                      | Lehrinhalte wechselnd? | Nein |  |