Preprints & Publications
12.
The Aldous-Hoover Theorem in Categorical Probability
L. Chen, T. Fritz, T. Gonda, A. Klingler, A. Lorenzin
Preprint (2024)
11.
Positive Moments Forever: Undecidable and Decidable Cases
G. De les Coves, J. Graf, A. Klingler, T. Netzer
Preprint (2024)
10.
9.
Hidden Markov Models and the Bayes Filter in Categorical Probability
T. Fritz, A. Klingler, D. McNeely, A. Shah-Mohammed, Y. Wang
Preprint (2024)
8.
Border Ranks of Positive and Invariant Tensor Decompositions: Applications to Correlations
A. Klingler, T. Netzer, G. De les Coves
Preprint (2023)
7.
Many bounded versions of undecidable problems are NP-hard
A. Klingler, M. van der Eyden, S. Stengele, T. Reinhart, G. De las Cuevas
SciPost Phys. 14, 173 (2023)
6.
The d-Separation Criterion in Categorical Probability
Tobias Fritz, Andreas Klingler
Journal of Machine Learning Research 24 (46), 1-49 (2023)
5.
Polynomial decompositions with positivity and invariance inspired by tensors
G. De las Cuevas, A. Klingler, T. Netzer
Preprint (2021)
4.
Approximate Pythagoras numbers on ∗-algebras over \mathbb{C}
P. Abbasi, A. Klingler, T. Netzer
Journal of Complexity 74, 101698 (2023)
3.
Approximate completely positive semidefinite factorizations and their ranks
P: Abbasi, A. Klingler, T. Netzer
Linear Algebra and its Applications 677, 323-336 (2023)
2.
Cats climb entails mammals move: Preserving hyponymy in compositional distributional semantics
G. De las Cuevas, A. Klingler, M. Lewis, T. Netzer
Journal of Cognitive Science 22 (3), 311–353 (2021).
1.
Approximate tensor decompositions: Disappearance of many separations
G. De las Cuevas, A. Klingler, T. Netzer
Journal of Mathematical Physics 62 (9), 093502 (2021) (Editor’s pick).
Theses
Positive and Invariant Tensor Decompositions: Approximations and Computational Complexity
Doctoral Thesis
University of Innsbruck (2024)
The Causal Compatibility Problem in Categorical Probability
Master’s Thesis Mathematics
University of Innsbruck (2022)
Approximate Tensor Decompositions: Disappearance of many separations
Master’s Thesis Physics
University of Innsbruck (2020)