# 14015 - Introduction to Mathematical Methods in Artificial Intelligence Modulübersicht

 Module Number: 14015 Module Title: Introduction to Mathematical Methods in Artificial Intelligence Einführung in mathematische Methoden der künstlichen Intelligenz Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology Responsible Staff Member: Prof. Dr. rer. nat. habil. Breuß, Michael Language of Teaching / Examination: English Duration: 1 semester Frequency of Offer: On special announcement Credits: 6 Learning Outcome: After successfully completing the module, students will be acquainted with basic principles and main techniques of mathematical methods that are useful in artificial intelligence and machine learning. They understand the inner workings of the techniques. They are able to apply the presented methods. Contents: In the lectures the theory and methods are presented. The knowledge about the material is deepened in self-organised studies and practized in the tutorial at hand of homework problems. Major topics are:important concepts in linear algebra, e.g. matrix factorizationanalytic geometry, e.g. projection mappingslinear regressionmatrix factorization, e.g. Cholesky decompositionvector calculus and its use in optimization, e.g. in gradient descentprobability and distributions, e.g. Bayes’ theoremdimensionality reduction, e.g. by principal component analysisselected applications in artificial intelligence Recommended Prerequisites: Knowledge of calculus and linear algebra, e.g. knowledge of the content of the modules 11113 Mathematik IT-2 (Lineare Algebra)11213 Mathematik IT-3 (Analysis) Mandatory Prerequisites: None Forms of Teaching and Proportion: Lecture / 2 Hours per Week per Semester Exercise / 2 Hours per Week per Semester Self organised studies / 120 Hours Teaching Materials and Literature: „Mathematics for Machine Learning“, Deisenroth, Faisal, Ong, Cambridge University Press, (2020) Module Examination: Final Module Examination (MAP) Assessment Mode for Module Examination: Written Examination, 90 minutes Evaluation of Module Examination: Performance Verification – graded Limited Number of Participants: None Part of the Study Programme: Master (research-oriented) / Artificial Intelligence / PO 2022 Remarks: Study programme Artificial Intelligence M.Sc.: Compulsory elective module in complex  „Advanced Methods“ Module Components: Lecture: Introduction to Mathematical Methods in Artificial IntelligenceAccompanying exerciseRelated examination Components to be offered in the Current Semester: