Heidelberg Lecture
Academic Year 2019/2020

Mathematical Structures
of Complex Systems

Location: Fakultät für Mathematik und Informatik, INF 205 - SR5
Lecture Period:  15 Oct. 2019 - 8 Feb. 2020  
Tuesdays 9:00 - 11:00
Thursdays 9:00 - 11:00

Link to Lecture Manuscript

Link to Project Overview

Lecture Partition - Topics

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Part 1
Structural Modelling

In this part we introduce modelling with structural or relational models, such as graphs.
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Part 2
Dynamic Modelling

Most real-world systems have dynamic aspects, i.e. they change their state with time. Dynamic descriptions can be either stochastic or deterministic.
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Part 3
Data Analysis and Machine Learning

In emprical science we need to test our models with data. The data themselves have usually first to be analysed with statistical techniques. A modern technique for data analysis is machine learning (ML)
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Lecture Timetable

Part 1 - Structural Modelling

  • Introduction - Graphs, Relations [Week 1]
  • Data bases, Algebraic Representations, Network Extensions - Hierachical Hypergraphs [week 2]
  • Structural Modelling - Applications [week 3]
  • Evolving Relational Models [week 4]

Part 2 - Dynamic Modelling

Stochastic Processes - [Week]

Part 3 - Data Analysis and Machine Learning

Statistics and Hypothesis - [Week]