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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. 
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                      | 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.
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                      | Lehrmethoden | 
                      (*)Lecture series with written materials (presentation slides) provided regularly in electronic form.
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                      | 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.
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                      | Lehrinhalte wechselnd? | 
                      Nein | 
                     
                      
                    
                     
                    
                    
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