I am currently a researcher in the Visual Information Analysis Group of Prof. Dr. Heike Leitte, where I recently finished my PhD thesis. My thesis deals with investigating how to exploit topological information for the visualization of complex multivariate data sets. See below for a list of my publications and other materials.

I also have a profile on ResearchGate.

# Research interests

In general, I am interested in methods and techniques that help us understand complex data sets. Mostly, those data sets are high-dimensional point clouds for me, but I am also interested in analysing graphs or, most recently, networks. I am also interested in analysing the behaviour of machine learning techniques, such as dimensionality reduction algorithms or clustering techniques.

According to Rob Hyndman, this makes me a data scientist!

From the mathematical side, I am interested in investigating how to use methods from algebraic topology to support the analysis of multivariate data. Since multivariate, unstructured point clouds are very common in domains such as biology and climate research, there are many potential applications for this kind of research. During my PhD, I mainly used persistent homology as a tool for describing a data set. I also have a general interest in algebraic & differential topology—both fields contain a wealth of potentially useful tools for visualization!

Some of my colleagues also have personal websites (or used to have them; they are still my colleagues, but their websites unfortunately do not exist any more for one reason or another):

# Publications

Please find a list of my preprints below. Whenever possible, I try to provide a BibTeX file for citing the publication as well as the slides corresponding to the paper. If neither a preprint nor slides are available but you still want to read the publication, please drop me a line to bastian@rieck.ru—it is possible that I am only allowed to share a publication privately.

## 2017

Clique Community Persistence: A Topological Visual Analysis Approach for Complex Networks

Bastian Rieck, Ulderico Fugacci, Jonas Lukasczyk, and Heike Leitte

*IEEE Transactions on Visualization and Computer Graphics*, Volume 24,
Issue 1, pp. 822–831, January 2018.

BibTeX • Additional code • Supplementary materials

Persistent Homology in Multivariate Data Visualization

Bastian Rieck

*Ph.D. thesis*, Ruprecht-Karls-Universität Heidelberg

BibTeX • urn:nbn:de:bsz:16-heidok-229145 • DOI: 10.11588/heidok.00022914 • Text-only version

Persistence Concepts for 2D Skeleton Evolution Analysis (extended
abstract)

Bastian Rieck, Heike Leitte, and Filip Sadlo

*Workshop on Topology-Based Methods in Visualization (TopoInVis)*, Accepted for Presentation, 2017.

BibTeX • GitHub repository

Hierarchies and Ranks for Persistence Pairs

Bastian Rieck, Heike Leitte, and Filip Sadlo

*Workshop on Topology-Based Methods in Visualization (TopoInVis)*, Accepted for Presentation, 2017.

BibTeX • Slides

## 2016

‘Shall I compare thee to a network?’—Visualizing the Topological Structure of Shakespeare’s Plays

Bastian Rieck and Heike Leitte

*Workshop on Visualization for the Digital Humanities at IEEE VIS 2016*.

BibTeX • Slides

Exploring and Comparing Clusterings of Multivariate Data Sets Using Persistent Homology

Bastian Rieck and Heike Leitte

*Computer Graphics Forum*, Volume 35, Issue 3, pp. 81–90, June 2016.

BibTeX • Supplementary materials • Slides

Agreement Analysis of Quality Measures for Dimensionality Reduction

Bastian Rieck and Heike Leitte

*Topological Methods in Data Analysis & Visualization IV*, pp. 103–117, Springer, 2017.

BibTeX • Slides • This is the published version of the preprint from 2015 (see below)

Interactive Similarity Analysis and Error Detection in Large Tree Collections

Jens Fangerau, Burkhard
Höckendorf,
Bastian Rieck, Christian
Heine, Joachim
Wittbrodt, and Heike
Leitte

*Visualization in Medicine and Life
Sciences III: Towards Making an Impact*, pp. 287–307, Springer, 2016.

BibTeX

## 2015

Comparing Dimensionality Reduction Methods Using Data Descriptor Landscapes

Bastian Rieck and Heike Leitte

*Symposium on Visualization in Data Science (VDS) at IEEE VIS 2015*.

BibTeX • Slides

Persistent Homology for the Evaluation of Dimensionality Reduction Schemes

Bastian Rieck and Heike Leitte

*Computer Graphics Forum*, Volume 34, Issue 3, pp. 431–440, June 2015.

BibTeX • Slides

Agreement Analysis of Quality Measures for Dimensionality Reduction

Bastian Rieck and Heike Leitte

*Workshop on Topology-Based Methods in Visualization (TopoInVis)*, Accepted for Presentation, 2015.

BibTeX • Slides

## 2014

Enhancing Comparative Model Analysis using Persistent Homology

Bastian Rieck and Heike Leitte

*IEEE Vis 2014 Workshop on Visualization for Predictive Analytics*.

BibTeX • Slides

Structural Analysis of Multivariate Point Clouds using Simplicial Chains

Bastian Rieck and Heike Leitte

*Computer Graphics Forum*, Volume 33, Issue 8, pp. 28–37, December 2014.

BibTeX • Slides

## 2013

Der “Gesprengte Turm” am Heidelberger Schloss –
Untersuchung eines Kulturdenkmals mithilfe hoch auflösender
terrestrischer Laserscans

Markus Forbriger, Hubert Mara, Bastian Rieck, Christoph Siart, Olaf Wagener

*Denkmalpflege in Baden-Württemberg, Nachrichtenblatt der
Landesdenkmalpflege*,
Heft 3-2013, S. 165–168.

Unwrapping Highly-Detailed 3D Meshes of Rotationally Symmetric Man-Made Objects

Bastian Rieck, Hubert Mara, and Susanne
Krömker

*ISPRS Annals*, Volume
II-5/W1, pp. 259–264.

BibTeX

## 2012

Multivariate Data Analysis Using Persistence-Based Filtering and Topological Signatures

Bastian Rieck, Hubert Mara, and Heike
Leitte

*IEEE Transactions on Visualization and Computer
Graphics*, Volume 18, Issue
12, pp. 2382–2391, December 2012.

BibTeX • Slides

## 2011

Smoothness analysis of subdivision algorithms

Master’s Thesis, Heidelberg University. Advised by
Susanne Krömker and Heike
Leitte.

BibTeX • GitHub repository

# Notes

Here are some notes on various topics. These notes are *not*
peer-reviewed, though, and may contain errors—please notify me if
you find some.

# Talks

Here are some of my more-or-less public talks.

- Shakespearean Social Network Analysis using Topological Methods, a work-in-progress lecture in the graduate seminar of Prof. Dr. Filip Sadlo.
- An introduction to persistent homology, a public lecture for the SIAM Chapter Heidelberg.
- Ein Bild sagt mehr als tausend Worte: Graphische Darstellungen komplexer Daten, ein Vortrag für die Akademische Mittagspause 2016.
- Persistent homology for multivariate data visualization, a talk I gave in a seminar of Dr. Julien Tierny at Sorbonne Universités UPMC.
- Aspects of human perception, an updated and translated variant of a talk I gave in a course of Dr. Hubert Mara.
- Die Poincaré-Vermutung, ein Vortrag vor Schülern des Privatgymnasiums St. Leon-Rot. Der Vortrag ist eine erweiterte Version meines Vortrags für die Science Academy 2012.
- Aspekte menschlicher Wahrnehmung, ein Vortrag über die menschliche Wahrnehmung im Kontext der Datenvisualisierung. Ich habe diesen Vortrag im Rahmen der Vorlesung “Einführung in das Maschinelle Sehen in 3D” von Dr. Hubert Mara gehalten.
- Weniger Klartext reden!, ein Vortrag über Kryptographie für die Science Academy 2013.
- Oh my god, it's full of data–A biased & incomplete introduction to visualization, a presentation for the fellows seminar of my graduate school, in which I explained visualization to my fellow doctoral students.
- Die Poincaré-Vermutung, ein Vortrag für die Science Academy 2012
- Applied algebraic topology, an informal presentation I gave in 2011 in order to promote my PhD project.