Topology meets Machine Learning: An Introduction using the Euler Characteristic Transform
Notices of the American Mathematical Society (2025) | Journal article
Principal Curvatures Estimation with Applications to Single Cell Data
Zhang, Yanlei and Mezrag, Lydia and Sun, Xingzhi and Xu, Charles and Macdonald, Kincaid and Bhaskar, Dhananjay and Krishnaswamy, Smita and Wolf, Guy and Rieck, Bastian,
ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP): IEEE
(6.4.2025) | Conference
MAGNet: Motif-Agnostic Generation of Molecules from Scaffolds
Leon Hetzel and Johanna Sommer and Bastian Rieck and Fabian Theis and Stephan Günnemann,
International Conference on Learning Representations:
(2025) | Conference
MANTRA: The Manifold Triangulations Assemblage
Rubén Ballester and Ernst Röell and Daniel Bin Schmid and Mathieu Alain and Sergio Escalera and Carles Casacuberta and Bastian Rieck,
International Conference on Learning Representations:
(2025) | Conference
Characterizing Physician Referral Networks with Ricci Curvature
Bastian Rieck, Jeremy Wayland, Russell J. Funk (2025)
| Book chapter
CliquePH: Higher-Order Information for Graph Neural Networks through Persistent Homology on Clique Graphs
Davide Buffelli and Farzin Soleymani and Bastian Rieck,
Proceedings of the Third Learning on Graphs Conference: PMLR
(2025) | Conference
On the Expressivity of Persistent Homology in Graph Learning
Rubén Ballester and Bastian Rieck,
Proceedings of the Third Learning on Graphs Conference: PMLR
(2025) | Conference
The magnitude vector of images
Journal of Applied and Computational Topology (2024) | Journal article
Enhancing the diagnosis of functionally relevant coronary artery disease with machine learning
Nature Communications (2024) | Journal article
Advancing Precision Medicine: Algebraic Topology and Differential Geometry in Radiology and Computational Pathology
Laboratory Investigation (2024) | Journal article
Mapping the Multiverse of Latent Representations
Wayland, Jeremy and Coupette, Corinna and Rieck, Bastian,
Proceedings of the 41st International Conference on Machine Learning: PMLR
(2024) | Conference
Position: Topological Deep Learning is the New Frontier for Relational Learning
Papamarkou, Theodore and Birdal, Tolga and Bronstein, Michael M. and Carlsson, Gunnar E. and Curry, Justin and Gao, Yue and Hajij, Mustafa and Kwitt, Roland and Lio, Pietro and Di Lorenzo, Paolo and Maroulas, Vasileios and Miolane, Nina and Nasrin, Farzana and Natesan Ramamurthy, Karthikeyan and Rieck, Bastian and Scardapane, Simone and Schaub, Michael T and Veličkovic, Petar and Wang, Bei and Wang, Yusu and Wei, Guowei and Zamzmi, Ghada,
Proceedings of the 41st International Conference on Machine Learning: PMLR
(2024) | Conference
Simplicial Representation Learning with Neural $k$-Forms
Kelly Maggs and Celia Hacker and Bastian Rieck,
The Twelfth International Conference on Learning Representations:
(2024) | Conference
Differentiable Euler Characteristic Transforms for Shape Classification
Ernst Röell and Bastian Rieck,
The Twelfth International Conference on Learning Representations:
(2024) | Conference
Metric Space Magnitude for Evaluating the Diversity of Latent Representations
Katharina Limbeck and Rayna Andreeva and Rik Sarkar and Bastian Rieck,
Advances in Neural Information Processing Systems: Curran Associates, Inc.
(2024) | Conference
Bayesian Computation Meets Topology
Transactions on Machine Learning Research (2024) | Journal article
All the world’s a (hyper)graph: A data drama
Digital Scholarship in the Humanities (2023) | Journal article
Predicting sepsis using deep learning across international sites: a retrospective development and validation study
eClinicalMedicine (2023) | Journal article
Who can Submit an Excellent Review for this Manuscript in the Next 30 Days? - Peer Reviewing in the Age of Overload
Alhoori, Hamed and Fox, Edward A. and Frommholz, Ingo and Liu, Haiming and Coupette, Corinna and Rieck, Bastian A. and Ghosal, Tirthankar and Wu, Jian,
2023 ACM/IEEE Joint Conference on Digital Libraries (JCDL): IEEE
(6.2023) | Conference
Time-Inhomogeneous Diffusion Geometry and Topology
SIAM Journal on Mathematics of Data Science (2023) | Journal article
Single-cell analysis reveals inflammatory interactions driving macular degeneration
Nature Communications (2023) | Journal article
Cell cycle controls long-range calcium signaling in the regenerating epidermis
Journal of Cell Biology (2023) | Journal article
A Note on Cherry-Picking in Meta-Analyses
Entropy (2023) | Journal article
A Diffusion Model Predicts 3D Shapes from 2D Microscopy Images
Waibel, Dominik J. E. and Röell, Ernst and Rieck, Bastian and Giryes, Raja and Marr, Carsten,
2023 IEEE 20th International Symposium on Biomedical Imaging (ISBI): IEEE
(18.4.2023) | Conference
Neurospectrum: A Geometric and Topological Deep Learning Framework for Uncovering Spatiotemporal Signatures in Neural Activity
Jessica L Moore, Dhananjay Bhaskar, Yanlei Zhang, Feng Gao, Bastian Rieck, Guy Wolf, Firas Khasawneh, Elizabeth Munch, J. Adam Noah, Helen Pushkarskaya, Christopher Pittenger, Valentina Greco, Smita Krishnaswamy, Jessica Moore, (2023) | Preprint
Curvature Filtrations for Graph Generative Model Evaluation
Southern, Joshua and Wayland, Jeremy and Bronstein, Michael and Rieck, Bastian,
Advances in Neural Information Processing Systems: Curran Associates, Inc.
(2023) | Conference
Weisfeiler and Leman go Machine Learning: The Story so far
Journal of Machine Learning Research (2023) | Journal article
Ollivier-Ricci Curvature for Hypergraphs: A Unified Framework
Corinna Coupette and Sebastian Dalleiger and Bastian Rieck,
The Eleventh International Conference on Learning Representations :
(2023) | Conference
Topological Singularity Detection at Multiple Scales
Von Rohrscheidt, Julius and Rieck, Bastian,
Proceedings of the 40th International Conference on Machine Learning: PMLR
(2023) | Conference
Multiscale PHATE identifies multimodal signatures of COVID-19
Nature Biotechnology (2022) | Journal article
Direct antimicrobial resistance prediction from clinical MALDI-TOF mass spectra using machine learning
Nature Medicine (2022) | Journal article
Diffusion Curvature for Estimating Local Curvature in High Dimensional Data
Advances in Neural Information Processing Systems:
(2022) | Conference
Evaluation Metrics for Graph Generative Models: Problems, Pitfalls, and Practical Solutions
International Conference on Learning Representations:
(2022) | Conference
On Measuring Excess Capacity in Neural Networks
Advances in Neural Information Processing Systems:
(2022) | Conference
Topological Graph Neural Networks
International Conference on Learning Representations:
(2022) | Conference
Capturing Shape Information with Multi-scale Topological Loss Terms for 3D Reconstruction
, in Medical Image Computing and Computer Assisted Intervention – MICCAI 2022
Waibel, Dominik J. E. and Atwell, Scott and Meier, Matthias and Marr, Carsten and Rieck, Bastian (Springer Nature Switzerland, 2022), ISBN: 9783031164408
| Book chapter
Exploring the Geometry and Topology of Neural Network Loss Landscapes
, in Advances in Intelligent Data Analysis XX
Horoi, Stefan and Huang, Jessie and Rieck, Bastian and Lajoie, Guillaume and Wolf, Guy and Krishnaswamy, Smita (Springer International Publishing, 2022), ISBN: 9783031013331
| Book chapter
Taxonomy of Benchmarks in Graph Representation Learning
Liu, Renming and Cantürk, Semih and Wenkel, Frederik and McGuire, Sarah and Wang, Xinyi and Little, Anna and Bray, Leslie Oand Perlmutter, Michael and Rieck, Bastian and Hirn, Matthew and Wolf, Guy and Rampášek, Ladislav,
Proceedings of the First Learning on Graphs Conference: PMLR
(2022) | Conference
DRIAMS: Database of Resistance Information on Antimicrobials and MALDI-TOF Mass Spectra
Karsten Borgwardt, Caroline, Aline Cuénod, Bastian Rieck, Adrian Egli, Caroline Weis, (2021) | Data set
Filtration Curves for Graph Representation
O’Bray, Leslie and Rieck, Bastian and Borgwardt, Karsten,
Proceedings of the 27th ACM SIGKDD Conference on Knowledge Discovery & Data Mining: ACM
(14.8.2021) | Conference
Stable topological signatures for metric trees through graph approximations
Pattern Recognition Letters (2021) | Journal article
Early Prediction of Sepsis in the ICU Using Machine Learning: A Systematic Review
Frontiers in Medicine (2021) | Journal article
A Survey of Topological Machine Learning Methods
Frontiers in Artificial Intelligence (2021) | Journal article
Accelerating Detection of Lung Pathologies with Explainable Ultrasound Image Analysis
Applied Sciences (2021) | Journal article
Back to the basics with inclusion of clinical domain knowledge - A simple, scalable and effective model of Alzheimer’s Disease classification
Brüningk, Sarah C. and Hensel, Felix and Lukas, Louis P. and Kuijs, Merel and Jutzeler, Catherine R. and Rieck, Bastian,
Proceedings of the 6th Machine Learning for Healthcare Conference: PMLR
(2021) | Conference
Enhancing statistical power in temporal biomarker discovery through representative shapelet mining
Bioinformatics (2020) | Journal article
Comorbidities, clinical signs and symptoms, laboratory findings, imaging features, treatment strategies, and outcomes in adult and pediatric patients with COVID-19: A systematic review and meta-analysis
Travel Medicine and Infectious Disease (2020) | Journal article
Topological and kernel-based microbial phenotype prediction from MALDI-TOF mass spectra
Bioinformatics (2020) | Journal article
Network-guided search for genetic heterogeneity between gene pairs
Bioinformatics (2020) | Journal article
Early prediction of circulatory failure in the intensive care unit using machine learning
Nature Medicine (2020) | Journal article
Topological Machine Learning with Persistence Indicator Functions
, in Topological Methods in Data Analysis and Visualization V
Rieck, Bastian and Sadlo, Filip and Leitte, Heike (Springer International Publishing, 2020), ISBN: 9783030430368
| Book chapter
Hierarchies and Ranks for Persistence Pairs
, in Topological Methods in Data Analysis and Visualization V
Rieck, Bastian and Sadlo, Filip and Leitte, Heike (Springer International Publishing, 2020), ISBN: 9783030430368
| Book chapter
Graph Kernels: State-of-the-Art and Future Challenges
Foundations and Trends® in Machine Learning (2020) | Journal article
Persistence Concepts for 2D Skeleton Evolution Analysis
, in Topological Methods in Data Analysis and Visualization V
Rieck, Bastian and Sadlo, Filip and Leitte, Heike (Springer International Publishing, 2020), ISBN: 9783030430368
| Book chapter
Persistent Intersection Homology for the Analysis of Discrete Data
, in Topological Methods in Data Analysis and Visualization V
Rieck, Bastian and Banagl, Markus and Sadlo, Filip and Leitte, Heike (Springer International Publishing, 2020), ISBN: 9783030430368
| Book chapter
Uncovering the Topology of Time-Varying fMRI Data using Cubical Persistence
Rieck, Bastian and Yates, Tristan and Bock, Christian and Borgwardt, Karsten and Wolf, Guy and Turk-Browne, Nicholas and Krishnaswamy, Smita,
Advances in Neural Information Processing Systems: Curran Associates, Inc.
(2020) | Conference
Graph Filtration Learning
Hofer, Christoph and Graf, Florian and Rieck, Bastian and Niethammer, Marc and Kwitt, Roland,
Proceedings of the 37th International Conference on Machine Learning: PMLR
(2020) | Conference
Topological Autoencoders
Moor, Michael and Horn, Max and Rieck, Bastian and Borgwardt, Karsten,
Proceedings of the 37th International Conference on Machine Learning: PMLR
(2020) | Conference
Set Functions for Time Series
Horn, Max and Moor, Michael and Bock, Christian and Rieck, Bastian and Borgwardt, Karsten,
Proceedings of the 37th International Conference on Machine Learning: PMLR
(2020) | Conference
A Wasserstein Subsequence Kernel for Time Series
Bock, Christian and Togninalli, Matteo and Ghisu, Elisabetta and Gumbsch, Thomas and Rieck, Bastian and Borgwardt, Karsten,
2019 IEEE International Conference on Data Mining (ICDM): IEEE
(11.2019) | Conference
Visualization of Equivalence in 2D Bivariate Fields
Computer Graphics Forum (2019) | Journal article
A Persistent Weisfeiler-Lehman Procedure for Graph Classification
Rieck, Bastian and Bock, Christian and Borgwardt, Karsten,
Proceedings of the 36th International Conference on Machine Learning: PMLR
(2019) | Conference
Wasserstein Weisfeiler-Lehman Graph Kernels
Togninalli, Matteo and Ghisu, Elisabetta and Llinares-López, Felipe and Rieck, Bastian and Borgwardt, Karsten,
Advances in Neural Information Processing Systems: Curran Associates, Inc.
(2019) | Conference
Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology
Bastian Rieck and Matteo Togninalli and Christian Bock and Michael Moor and Max Horn and Thomas Gumbsch and Karsten Borgwardt,
International Conference on Learning Representations:
(2019) | Conference
Early Recognition of Sepsis with Gaussian Process Temporal Convolutional Networks and Dynamic Time Warping
Moor, Michael and Horn, Max and Rieck, Bastian and Roqueiro, Damian and Borgwardt, Karsten,
Proceedings of the 4th Machine Learning for Healthcare Conference: PMLR
(2019) | Conference
Association mapping in biomedical time series via statistically significant shapelet mining
Bioinformatics (2018) | Journal article
Visualization of 4D Vector Field Topology
Computer Graphics Forum (2018) | Journal article
Visualization of Fullerene Fragmentation
Sdeo, Kai and Rieck, Bastian and Sadlo, Filip,
2018 IEEE Pacific Visualization Symposium (PacificVis): IEEE
(4.2018) | Conference
Clique Community Persistence: A Topological Visual Analysis Approach for Complex Networks
IEEE Transactions on Visualization and Computer Graphics (2018) | Journal article
Visualization of Parameter Sensitivity of 2D Time-Dependent Flow
, in Advances in Visual Computing
Hanser, Karsten and Klein, Ole and Rieck, Bastian and Wiebe, Bettina and Selz, Tobias and Piatkowski, Marian and Sagristà, Antoni and Zheng, Boyan and Lukácová-Medvidová, Mária and Craig, George and Leitte, Heike and Sadlo, Filip (Springer International Publishing, 2018), ISBN: 9783030038014
| Book chapter
