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Approximation and interpolation of singular measures by trigonometric polynomials.
P. Catala, M. Hockmann, S. Kunis, M. Wageringel,  Constr. Approx., 2024+.

Covariance matrices of length power functionals of random geometric graphs - an asymptotic analysis.
M. Reitzner, T. Römer, M. v. Westenholz, Linear Algebra Appl. 691, 151-181, 2024. https://doi.org/10.1016/j.laa.2024.03.032

Facets of high-dimensional Gaussian polytopes.
M. Reitzner, K. Böröczky, G. Lugosi, J. Geom. Anal. 34:69, 2024. https://doi.org/10.1007/s12220-023-01440-5

Khovanskii bases for semimixed systems of polynomial equations - a case of approximating stationary nonlinear Newtonian dynamics.
V. Borovik, P. Breiding, J. del Pino, M. Michałek, and O. Zilberberg., Journal de Mathématiques Pures et Appliquées Volume 182, February 2024, Pages 195-222

Stars of Empty Simplices.
M. Reitzner, D. Temesvari, Illinois J. Math. 68(1): 87-109, 2024. https://doi.org/10.1215/00192082-11081246



Algebraic compressed sensing.
P. Breiding, F. Gesmundo, M. Michalek, and N. Vannieuwenhoven., Applied and Computational Harmonic Analysis Volume 65, July 2023, Pages 374-406

Computational resolution in single molecule localization – impact of noise level and emitter density.
M. Hockmann, S. Kunis, and R. Kurre, Biol. Chem., 404:427–431, 2023.

Convolutional Neural Network maps plant communities in semi-natural grasslands using multispectral Unmanned Aerial Vehicle imagery.
Pöttker, M., Kiehl, K., Jarmer, T. & Trautz, D., Remote Sensing, 2023.

Detecting historical terrain anomalies with UAV-LiDAR data using spline-approximation and support vector machines.
Storch, M., de Lange, N., Jarmer, T. & Waske, B., IEEE Journal of Selected Topics in Applied Earth Observation and Remote Sensing, 2023.

Detecting Loose Wheel Bolts of a Vehicle Using Accelerometers in the Chassis.
Schmidt, J., Kühnberger, KU., Pape, D., Pobandt, T., In: Pertusa, A., Gallego, A.J., Sánchez, J.A., Domingues, I. (eds) Pattern Recognition and Image Analysis. IbPRIA 2023. Lecture Notes in Computer Science, vol 14062. Springer, Cham. https://doi.org/10.1007/978-3-031-36616-1_53, 2023.

Development of Few-Shot Learning Capabilities in Artificial Neural Networks When Learning Through Self-Supervised Interaction. V. Clay, G. Pipa, K. -U. Kühnberger and P. König. IEEE Transactions on Pattern Analysis and Machine Intelligence, doi: 10.1109/TPAMI.2023.3323040., 2023.

Estimation of Excess Mortality in Germany During 2020-2022.
M. Reitzner, C. Kuhbandner, Cureus 15(5): e39371, 2023. https://dx.doi.org/doi:10.7759/cureus.39371

HalfedgeCNN for Native and Flexible Deep Learning on Triangle Meshes.
Ingmar Ludwig, Daniel Tyson, Marcel Campen. Computer Graphics Forum, 42 (5), 2023.

Investigating Pre-trained Language Models on Cross-Domain Datasets, a Step Closer to General AI. Ballout, M., Krumnack, U., Heidemann, G., Kühnberger, K.-U., INNS DLIA@IJCNN 2023. Procedia Computer Science 222:94-103. https://doi.org/10.1016/j.procs.2023.08.147, 2023.

Line multiview varieties.
P. Breiding, F. Rydell, E. Shehu, and A. Torres., SIAM Journal on Applied Algebra and Geometry. Vol. 7, Iss. 2 (2023).

Opening the Black Box: Analyzing Attention Weights and Hidden States in Pre-trained Language Models for Non-language Tasks.
Ballout, M., Krumnack, U., Heidemann, G., Kühnberger, KU., In: Longo, L. (eds) Explainable Artificial Intelligence. xAI 2023. Communications in Computer and Information Science, vol 1903. Springer, Cham. https://doi.org/10.1007/978-3-031-44070-0_1, 2023

Searching for Types of Goals in a Concpetual Space of Goal Characteristics.
Weber, F., Abdel-Fattah, A., Kühnberger, K.-U., Proceedings of the Eighth Joint Ontology Workshops 2022 (JOWO'22), Jönköping University, Sweden., 2023

Setting up a data management infrastructure for bioimaging.
Kunis, S., Bernhardt, K., & Hensel, M., Biol. Chem. doi: 10.1515/hsz-2022-0304, 2023.

Sparse signals on hypergraphs.
T. Emmrich, M. Juhnke-Kubitzke, and S. Kunis, Proc. Appl. Math. Mech., 22, 2023.

Sparse super resolution and its trigonometric approximation in the p-Wasserstein distance.
P. Catala, M. Hockmann, and S. Kunis, Proc. Appl. Math. Mech., 22, 2023.

Symbolic and Hybrid Models of Cognition.
Besold, T., Kühnberger, K.-U., In R. Sun (eds.): Cambridge Handbook of Computational Cognitive Sciences, 2nd edition, Cambridge University Press, 2023

The condition number of many tensor decompositions is invariant under Tucker compression.
Dewaele, N., Breiding, P. & Vannieuwenhoven, N., Numer Algor 94, 1003–1029 (2023). https://doi.org/10.1007/s11075-023-01526-9

The convex hull of random points on the boundary of a simple polytope.
M. Reitzner, C. Schütt, E. Werner, Discrete Comput. Geom. 69, 453-504, 2023. https://link.springer.com/article/10.1007/s00454-022-00460-2

The Readiness of Water Molecules to Split into Hydrogen + Oxygen: A Proposed New Aspect of Water Splitting.
H. Schäfer, A. Schuster, S. Kunis, T. Bookholt, J. Hardege, K. Rüwe, J. Brune, Adv. Mater. 35, 2300099, 2023.

Theorems of Carathéodory, Minkowski-Weyl, and Gordan up to symmetry.
Dinh Van; Römer, Tim, SIAM J. Appl. Algebra Geom. 7 (2023), no. 1, 291–310.

Three decompositions of symmetric tensors have similar condition numbers.
N. Dewaele, P. Breiding, and N. Vannieuwenhoven., Linear Algebra and its Applications
Volume 664, 1 May 2023, Pages 253-263

Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon.
A. Gusakova, M. Reitzner, C. Thäle, Ann. H. Lebesgue 6, 875-906, 2023. https://doi.org/10.5802/ahl.180

Weak Sparse Superresolution is Well-Conditioned.
M. Hockmann and S. Kunis., SIAM J. Imaging Sci., 16:SC1–SC13, 2023.



Bayesian hierarchical models can infer interpretable predictions
of leaf area index from heterogeneous datasets.

Stojanovic, O., Siegmann, B., Jarmer, T., Pipa, G. & Leugering, J.,
Frontiers in Environmental Science, 9, 780814., 2022

Equations for GL invariant families of polynomials.
P. Breiding, R. Hodges, C. Ikenmeyer, and M. Michalek.,
Vietnam Journal of Mathematics., 2022.

Estimating LAI from winter wheat using UAV data and CNNs.
Wittstruck, L., Jarmer, T., Trautz, D. & Waske, B.,
IEEE Geoscience and Remote Sensing Letters
, 19, 1-5 (Art no. 2503405), 2022

Explainability in Cyber-Security using Complex Network Analysis: A Brief Methodological Overview.
Martin Atzmueller and Rushed Kanawati. In Proc. European Interdisciplinary Cybersecurity Conference (EICC). ACM, 2022.

From photos to sketches – how humans and deep neural networks process objects
across different levels of visual abstraction.

Singer, J. J. D., Seeliger, K., Kietzmann, T. C., & Hebart, M. N., Journal of Vision, 22 (2),
doi:https://doi.org/10.1167/jov.22.2.4, 2022

Graph neural networks for multivariate time series regression with application to seismic data.
Stefan Bloemheuvel, Jurgen van den Hoogen, Dario Jozinovic, Alberto Michelini, and Martin Atzmueller,
International Journal of Data Science and Analytics (2022)

Invariant chains in algebra and discrete geometry.
Kahle, Thomas; Le, Dinh Van; Römer, Tim,
SIAM J. Discrete Math. 36 (2022), no. 2, 975–999., 2022

multiSyncPy: A Python Package for Assessing Multivariate Coordination Dynamics.
Dan Hudson, Travis J. Wiltshire, and Martin Atzmueller,
Behavior Research Methods, pages 1–31, 2022.

Multivariate Vandermonde matrices with separated nodes on the unit circle are stable.
S. Kunis, D. Nagel, and A. Strotmann, Appl. Comput. Harmon. Anal. 58, 50-59, 2022.

Resilience in sports: a multidisciplinary, dynamic, and personalized perspective.
Ruud JR Den Hartigh, L Rens A Meerhoff, Nico W Van Yperen, Niklas D Neumann, Jur J Brauers, Wouter GP Frencken, Ando Emerencia, Yannick Hill, Sebastiaan Platvoet, Martin Atzmueller, Koen A. P. M. Lemmink, and Michel S. Brink.
International Review of Sport and Exercise Psychology, pages 1–23, 2022.

Seminormality, canonical modules, and regularity of cut polytopes.
Koley, Mitra; Römer, Tim, J. Pure Appl. Algebra 226 (2022), no. 1, Paper No. 106797, 22 pp.

Sensitivity of low-rank matrix recovery.
P. Breiding and N. Vannieuwenhoven., Numerische Mathematik, 2022

Systematic approach for remote sensing of historical conflict landscapes
with UAV-based Laserscanning.

Storch, M., Jarmer, T., Adam, M., de Lange, N.,
Sensors, 22(1), 217, 2022

The average condition number of most tensor rank decomposition problems is infinite.
C. Beltrán, P. Breiding, and N. Vannieuwenhoven., Foundations of Computational Mathematics., 2022.

The condition number of many tensor decompositions is invariant under Tucker compression.
N. Dewaele, P. Breiding, and N. Vannieuwenhoven., Numerical Algorithms, 2022.

The paradox of the compositionality of natural language: a neural machine translation case study.
Dankers, V. , Bruni E. & Hupkes, D. Proceedings of ACL 2022.

The zonoid algebra, generalized mixed volumes, and random determinants.
P. Breiding, P. Bürgisser, A. Lerario, and L. Mathis., Adv. in Math., 2022.

Visualization Methods for Exploratory Subgroup Discovery on Time Series Data.
Dan Hudson, Travis J. Wiltshire, and Martin Atzmueller. In Proc. International Work-Conference on the Interplay between Natural and Artificial Computation. Springer, 2022.

What drives trust of the long-term unemployed in their caseworkers?
Wilde, J., Labour, 00, 1–20. Available from: https://doi.org/10.1111/labr.12218.



Another Hilbert inequality and critically separated interpolation nodes.
S. Kunis and J. Rolfes, Proc. Appl. Math. Mech., 21, 2021.

A computational framework for modeling complex sensor network data using graph signal processing and graph neural networks in structural health monitoring.
Stefan Bloemheuvel, Jurgen van den Hoogen, and Martin Atzmueller.
Applied Network Science, 6(1):97, 2021.

A trajectories' guide to the state space-learning missing terms in
bifurcating ecological systems.

Vortmeyer-Kley, Rahel and Nieters, Pascal and Pipa, Gordon
2021, Copernicus Meetings

An ecologically motivated image dataset for deep learning yields better models of human vision.
Mehrer, J., Spoerer, C.J., Jones, E.C., Kriegeskorte, N., & Kietzmann, T.C., Proceedings of the National Academy of Sciences, 118 (8), e2011417118; DOI: 10.1073/pnas.2011417118, 2021

Asymptotic normality for random simplices and convex bodies in high

D. Alonso-Gutiérrez, F. Besau, J. Grote, Z. Kabluchko, M. Reitzner,
C.Thäle, B. Vritsiou, and E. Werner
Proc. Amer. Math. Soc. 149, 355-367, 2021

Castelnuovo-Mumford regularity up to symmetry.
Dinh Van Le, U.  Nagel, Hop D. Nguyen, and T. Römer,
Int. Math. Res. Not. IMRN 2021, no. 14, 11010–11049.

Classifying Multivariate Signals in Rolling Bearing Fault Detection Using Adaptive Wide-Kernel CNNs. Jurgen van den Hoogen, Stefan Bloemheuvel, and Martin Atzmueller. Applied Sciences, 11(23), 2021.

Co-evolution of language and agents in referential games.
Dagan, G., Hupkes, D. & Bruni, E. EACL 2021.

Concept in Action. Representation, Learning, and Application.
Bechberger, L., Kühnberger, K.-U. & Liu, M. (2021) (eds.). Springer 2021

Diverse deep neural networks all predict human IT well, after training and fitting.
Storrs, K. R., Kietzmann, T. C., Walther, A., Mehrer, J., & Kriegeskorte, N.,
Journal of Cognitive Neuroscience, 33 (10), p. 2044–2064, 2021

Examining team interaction using dynamic complexity and network visualizations.
Travis J. Wiltshire, Dan Hudson, Max Belitsky, Philia Lijdsman, Stijn Wever, and Martin Atzmueller.
In 2021 IEEE 2nd International Conference on Human-Machine Systems (ICHMS), pages 1–6, September 2021.

Expected mean width of the randomized integer convex hull.
Reitzner, M. (jointly with B. Hong Ngoc), Mathematika 67, 257-433 (2021)

Formal ways for measuring relations between concepts in conceptual spaces.
Bechberger, L. & Kühnberger, K.-U. (2021). Expert Systems 38(7), e12348

Generalizing Psychological Similarity Spaces to Unseen stimuli.
Bechberger, L. & Kühnberger, K.-U. (2021). In Bechberger, Kühnberger, Liu (eds.) (2021):
Concepts in Action. Springer (2021).

Language modelling as a multi-task problem.
Weber, L., Jumelet, J., Bruni, E. & Dieuwke Hupkes. EACL 2021.

Learning a transform base for the multi- to hyperspectral sensor network with K-SVD.
Hänel, T., Jarmer, T. and Aschenbruck, N., Sensors, 21(21), 7296, 2021.

Learning sparse and meaningful representations through embodiment.
Clay, Viviane; König, Peter; Kühnberger, Kai-Uwe; Pipa, Gordon
Neural Networks,134, 23-41, 2021, Pergamon

Local exceptionality detection in time series using subgroup discovery: An approach exemplified on team interaction data.
Dan Hudson, Travis J. Wiltshire, and Martin Atzmueller. In Carlos Soares and Luis Torgo, editors, Discovery Science, Lecture Notes in Computer Science, pages 435–445, Cham, 2021. Springer International Publishing.

Many-objective optimization for anomaly detection on multi-layer complex interaction networks.
Asep Maulana and Martin Atzmueller. Applied Sciences, 11(9):4005, 2021.

MDEmic: a metadata annotation tool to facilitate management of FAIR image data in the bioimaging community.
Kunis, S., et al. , Nat. Methods, pp. 1-2, doi:10.1038/s41592-021-01288-z., 2021

Mining Communities and Their Descriptions on Attributed Graphs: A Survey
Martin Atzmueller, Stephan Günnemann and Albrecht Zimmermann
Data Mining and Knowledge Discovery, 1-21, 2021

On the condition number of Vandermonde matrices with pairs of nearly-colliding nodes.
S. Kunis and D. Nagel, Numer. Algorithms 87, 473-496, 2021.

QUAREP-LiMi: A community-driven initiative to establish guidelines for quality assessment and reproducibility for instruments and images in light microscopy.
Nelson, G., ..., Kunis, S., ... et al. , Journal of microscopy, doi: 10.1111/jmi.13041., 2021

Real-time dialogue between experimenters and dreamers during REM sleep.
Konkoly, Karen R and Appel, Kristoffer and Chabani, Emma and Mangiaruga, Anastasia and Gott, Jarrod and Mallett, Remington and Caughran, Bruce and Witkowski, Sarah and Whitmore, Nathan W and Mazurek, Christopher Y and others
Current Biology, 2021, Cell Press

Semantic Data Mining in Ubiquitous Sensing: A Survey.
Grzegorz J Nalepa, Szymon Bobek, Krzysztof Kutt, and Martin Atzmueller. Sensors, 21(13):4322, 2021.

Show Me What You're Looking For: Visualizing Abstracted Transformer Attention for Enhancing Their Local Interpretability on Time Series Data
Leonid Schwenke and Martin Atzmueller
Proc. 34th International Florida Artificial Intelligence Research Society Conference (FLAIRS), 2021

Towards a mathematical model for single molecule structured illumination microscopy.
M. Hockmann, S. Kunis, and R. Kurre, Proc. Appl. Math. Mech., 20: e202000075, 2021.

UAV-based RGB imagery for Hokkaido pumpkin (Cucurbita max.) detection and yield estimation.
Lucas Wittstruck, Insa Kühling, Dieter Trautz, Maik Kohlbrecher and Thomas Jarmer Sensors 21(1), 2021, 118.

“Want to come play with me?” Outlier Subgroup Discovery on Spatio-Temporal Interactions.
Carolina Centeio Jorge, Martin Atzmueller, Behzad M Heravi, Jenny L Gibson, Rosaldo JF Rossetti and Claudio Rebelo de Sa
Expert Systems, 2021, Wiley Online Library

Westdrive X LoopAR: An Open-Access Virtual Reality Project in Unity for Evaluating User Interaction Methods during Takeover Requests
Nezami, Farbod N; Wächter, Maximilian A; Maleki, Nora; Spaniol, Philipp; Kühne, Lea M; Haas, Anke; Pingel, Johannes M; Tiemann, Linus; Nienhaus, Frederik; Keller, Lynn
Sensors,21,5,1879, 2021, Multidisciplinary Digital Publishing Institute


Adaptive blending units: Trainable activation functions for deep neural networks.
Sütfeld, Leon René; Brieger, Flemming; Finger, Holger; Füllhase, Sonja; Pipa, Gordon
Science and Information Conference,37-50, 2020,"Springer, Cham"

All around me are synthetic faces: the Mad World of AI-generated Media.
Whittaker, L., Kietzmann, T.C., Kietzmann, J., & Dabirian, A. , IT Professional, 22, pp. 90-99., 2020

Applying ASP for Knowledge-Based Link Prediction with Explanation Generation in Feature Rich Networks
Cicek Guven, Dietmar Seipel and Martin Atzmueller
IEEE Transactions on Network Science and Engineering, 2020

Codimension and projective dimension up to symmetry.
Dinh Van Le, U.  Nagel, Hop D. Nguyen, and T. Römer.
Math. Nachr. 293 (2020), no. 2, 346–362.

Compositionality decomposed: how do neural networks generalise?
Dankers, V., Mul, M., Hupkes, D. & Bruni, E.  Journal of Artificial Intelligence Research 67:757-795 2020.

Deepfakes: Trick or treat?, Kietzmann, J., Lee, L.W., McCarthy, I.P., & Kietzmann, T.C.,
Business Horizons, 63(2), 135-146., 2020

Gigantic random simplicial complexes.
Jens Grygierek, Martina Juhnke-Kubitzke, Matthias Reitzner, Tim Römer, and Oliver Röndigs. 
Homology Homotopy Appl. 22, 2020, 297–318.

Graph Signal Processing on Complex Networks for Structural Health Monitoring
Stefan Bloemheuvel, Jurgen van den Hoogen and Martin Atzmueller
Proc. International Conference on Complex Networks and Their Applications, 2020, 249--261, Springer

Individual differences among deep neural network models.
Mehrer, J., Spoerer, C. J., Kriegeskorte, N. & Kietzmann, T. C., Nature Communications, 11(1), 5725., 2020

Internal and External Pressures on Language Emergence: Least Effort, Object Constancy and Frequency.
Rodriguez Luna, D., Maria Ponti, E., Hupkes, D. & Bruni, E.  EMNLP-findings 2020.

Learning algebraic decompositions using Prony structures.
Stefan Kunis, Tim Römer, and Ulrich von der Ohe.
Adv. in Appl. Math. 118, 2020, Article ID 102044, 43p.

Location Attention for Extrapolation to Longer Sequences.
Dubois, Y., Dagan, G., Hupkes, D. & Bruni, E.,  Proceedings of ACL 2020.

Modelling form-meaning systematicity with linguistic and visual features. 
Soeteman, A., Gutierrez, D., Bruni, E.,& E. Shutova, E.. Proceedings of AAAI 2020.

Multivariate Central Limit Theorems for Random Simplicial Complexes.
G. Akinwande, and M. Reitzner, Adv. Appl. Math. 121, 2020

On the smallest singular value of multivariate Vandermonde matrices with clustered nodes.
S. Kunis and D. Nagel, Linear Algebra Appl. 604, 1-20, 2020.

Predicting epileptic seizures using nonnegative matrix factorization.
Stojanović, Olivera; Kuhlmann, Levin; Pipa, Gordon
PloS one,15,2,e0228025, 2020, "Public Library of Science San Francisco, CA USA"

Project Westdrive: Unity city with self-driving cars and pedestrians for virtual reality studies.
Nezami, Farbod N; Wächter, Maximilian A; Pipa, Gordon; König, Peter
Frontiers in ICT,7,1, 2020, Frontiers

Statistics of work performed by optical tweezers with general time-variation of their stiffness
P. Chvosta, D. Lips, V. Holubec, A. Ryabov, and P. Maass
J. Phys. A: Math. Theor. 53, 275001 (2020)

The grammar of emergent languages.
Van der Wal, O., de Boer, S., Bruni, E. & Hupkes, D. EMNLP 2020.

What drives trust of long-term unemployed in their caseworkers? An empirical analysis using experimental data;
Wilde, J.,Working Paper 118, Institute of Empirical Economic Research, Universität Osnabrück (2020)

Why Should I Trust This Item? Explaining the Recommendations of any Model
Corentin Lonjarret, Celine Robardet, Marc Plantevit, Roch Auburtin and Martin Atzmueller
Proc. IEEE International Conference on Data Science and Advanced Analytics (DSAA), 2020, 526--535, IEEE