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### 2025
22

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- [*NervePool: A Simplicial Pooling Layer*](https://arxiv.org/abs/2305.06315)<br />
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S.&thinsp;M.&nbsp;Scullen<sup>&dagger;</sup>, E.&nbsp;Röell<sup>&dagger;</sup>, E.&nbsp;Munch, B.&nbsp;Rieck, and M.&nbsp;Hirn<br />
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Preprint, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2305.06315) &bull; [\[GitHub\]](https://github.com/aidos-lab/nerve-pool) &bull; [\[BibTeX\]](Scullen25a.bib)</small>
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- [*Homomorphism Distortion: A Metric to Distinguish Them All and in the Latent Space Bind Them*](https://arxiv.org/abs/2511.03068)<br />
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M.&nbsp;Carrasco, O.&nbsp;Zaghen, E.&nbsp;Bekkers, and B.&nbsp;Rieck<br />
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M.Sc. thesis, Vrije Universiteit Amsterdam, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2511.03068) &bull; [\[BibTeX\]](Carrasco25a.bib)</small>
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- [*Persistent Homology via Ellipsoids*](https://arxiv.org/abs/2408.11450)<br />
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N.&nbsp;Canova, S.&nbsp;Kališnik, A.&nbsp;Moser, B.&nbsp;Rieck, and A.&nbsp;Žegarac<br />
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Preprint, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2408.11450) &bull; [\[BibTeX\]](Canova25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2408.11450) &bull; [\[GitHub\]](https://github.com/a-zeg/ellipsoids) &bull; [\[BibTeX\]](Canova25a.bib)</small>
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- [*TOAST: Transformer Optimization Using Adaptive and Simple Transformations*](https://arxiv.org/abs/2410.04941)<br />
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I.&nbsp;Cannistraci, S.&nbsp;Antonelli, E.&nbsp;Palumbo, T.&thinsp;M.&nbsp;Sutter, E.&nbsp;Rodolà, B.&nbsp;Rieck, and J.&thinsp;E.&nbsp;Vogt<br />
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Preprint, 2025<br />
@@ -19,15 +23,15 @@ Nature Energy, Volume 10, Number 10, pp. 1274--1288, 2025<br />
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- [*Less Is More: Local Intrinsic Dimensions of Contextual Language Models*](https://arxiv.org/abs/2506.01034)<br />
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B.&thinsp;M.&nbsp;Ruppik, J.&nbsp;von Rohrscheidt, C.&nbsp;van Niekerk, M.&nbsp;Heck, R.&nbsp;Vukovic, S.&nbsp;Feng, H.&nbsp;Lin, N.&nbsp;Lubis, B.&nbsp;Rieck, M.&nbsp;Zibrowius, and M.&nbsp;Gašić<br />
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Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2506.01034) &bull; [\[BibTeX\]](Ruppik25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2506.01034) &bull; [\[GitHub\]](https://github.com/aidos-lab/Topo_LLM_public) &bull; [\[BibTeX\]](Ruppik25a.bib)</small>
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- [*Point Cloud Synthesis Using Inner Product Transforms*](https://arxiv.org/abs/2410.18987)<br />
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E.&nbsp;Röell and B.&nbsp;Rieck<br />
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Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.18987) &bull; [\[BibTeX\]](Roell25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.18987) &bull; [\[GitHub\]](https://github.com/aidos-lab/inner-product-transforms) &bull; [\[BibTeX\]](Roell25a.bib)</small>
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- [*Geometry-Aware Edge Pooling for Graph Neural Networks*](https://arxiv.org/abs/2506.11700)<br />
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K.&nbsp;Limbeck<sup>&dagger;</sup>, L.&nbsp;Mezrag<sup>&dagger;</sup>, G.&nbsp;Wolf<sup>&Dagger;</sup>, and B.&nbsp;Rieck<sup>&Dagger;</sup><br />
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Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2506.11700) &bull; [\[BibTeX\]](Limbeck25b.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2506.11700) &bull; [\[GitHub\]](https://github.com/aidos-lab/mag_edge_pool) &bull; [\[BibTeX\]](Limbeck25b.bib)</small>
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- [*Diss-l-ECT: Dissecting Graph Data With Local Euler Characteristic Transforms*](https://proceedings.mlr.press/v267/von-rohrscheidt25a.html)<br />
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J.&nbsp;von Rohrscheidt and B.&nbsp;Rieck<br />
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Proceedings of the 42nd International Conference on Machine Learning, Volume 267, pp. 61790--61809, 2025<br />
@@ -51,7 +55,7 @@ Preprint, 2025<br />
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- [*On the Expressivity of Persistent Homology in Graph Learning*](https://proceedings.mlr.press/v269/ballester25a.html)<br />
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R.&nbsp;Ballester and B.&nbsp;Rieck<br />
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Proceedings of the Third Learning on Graphs Conference, Volume 269, pp. 42:1--42:31, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2302.09826) &bull; [\[BibTeX\]](Ballester25b.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2302.09826) &bull; [\[GitHub\]](https://github.com/aidos-lab/PH_expressivity) &bull; [\[BibTeX\]](Ballester25b.bib)</small>
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- [*CliquePH: Higher-Order Information for Graph Neural Networks Through Persistent Homology on Clique Graphs*](https://proceedings.mlr.press/v269/buffelli25a.html)<br />
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D.&nbsp;Buffelli<sup>&dagger;</sup>, F.&nbsp;Soleymani<sup>&dagger;</sup>, and B.&nbsp;Rieck<br />
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Proceedings of the Third Learning on Graphs Conference, Volume 269, pp. 45:1--45:17, 2025<br />
@@ -67,11 +71,11 @@ ECML PKDD Workshop on Mining and Learning with Graphs, 2025<br />
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- *Geometry-Aware Edge Pooling for Graph Neural Networks*<br />
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K.&nbsp;Limbeck<sup>&dagger;</sup>, L.&nbsp;Mezrag<sup>&dagger;</sup>, G.&nbsp;Wolf<sup>&Dagger;</sup>, and B.&nbsp;Rieck<sup>&Dagger;</sup><br />
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ECML PKDD Workshop on Mining and Learning with Graphs, 2025<br />
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<small>[\[BibTeX\]](Limbeck25a.bib)</small>
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<small>[\[GitHub\]](https://github.com/aidos-lab/mag_edge_pool) &bull; [\[BibTeX\]](Limbeck25a.bib)</small>
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- [*Topology Meets Machine Learning: An Introduction Using the Euler Characteristic Transform*](https://dx.doi.org/10.1090/noti3193)<br />
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B.&nbsp;Rieck<br />
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Notices of the American Mathematical Society, Volume 72, Number 7, pp. 719--727, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.17760) &bull; [\[Author's copy\]](https://www.ams.org/journals/notices/202507/rnoti-p719.pdf) &bull; [\[BibTeX\]](Rieck25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.17760) &bull; [\[Author's copy\]](https://www.ams.org/journals/notices/202507/rnoti-p719.pdf) &bull; [\[GitHub\]](https://github.com/aidos-lab/ECT) &bull; [\[BibTeX\]](Rieck25a.bib)</small>
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- [*Molecular Machine Learning Using Euler Characteristic Transforms*](https://arxiv.org/abs/2507.03474)<br />
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V.&nbsp;Toscano-Duran, F.&nbsp;Rottach, and B.&nbsp;Rieck<br />
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Preprint, 2025<br />
@@ -111,31 +115,31 @@ Preprint, 2025<br />
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- [*MANTRA: The Manifold Triangulations Assemblage*](https://openreview.net/forum?id=X6y5CC44HM)<br />
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R.&nbsp;Ballester<sup>&dagger;</sup>, E.&nbsp;Röell<sup>&dagger;</sup>, D.&thinsp;B.&nbsp;Schmid<sup>&dagger;</sup>, M.&nbsp;Alain<sup>&dagger;</sup>, S.&nbsp;Escalera, C.&nbsp;Casacuberta, and B.&nbsp;Rieck<br />
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International Conference on Learning Representations, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.02392) &bull; [\[BibTeX\]](Ballester25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2410.02392) &bull; [\[GitHub\]](https://github.com/aidos-lab/mantra) &bull; [\[BibTeX\]](Ballester25a.bib)</small>
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- [*MAGNet: Motif-Agnostic Generation of Molecules From Scaffolds*](https://openreview.net/forum?id=5FXKgOxmb2)<br />
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L.&nbsp;Hetzel<sup>&dagger;</sup>, J.&nbsp;Sommer<sup>&dagger;</sup>, B.&nbsp;Rieck, F.&nbsp;Theis, and S.&nbsp;Günnemann<br />
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International Conference on Learning Representations, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2305.19303) &bull; [\[BibTeX\]](Hetzel25a.bib)</small><br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2305.19303) &bull; [\[GitHub\]](https://github.com/TUM-DAML/MAGNet) &bull; [\[BibTeX\]](Hetzel25a.bib)</small><br />
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<small>Accepted as a spotlight presentation&nbsp;(top 5% of all submissions)</small>
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- [*Principal Curvatures Estimation With Applications to Single Cell Data*](https://dx.doi.org/10.1109/ICASSP49660.2025.10888433)<br />
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Y.&nbsp;Zhang, L.&nbsp;Mezrag, X.&nbsp;Sun, C.&nbsp;Xu, K.&nbsp;Macdonald, D.&nbsp;Bhaskar, S.&nbsp;Krishnaswamy<sup>&Dagger;</sup>, G.&nbsp;Wolf<sup>&Dagger;</sup>, and B.&nbsp;Rieck<sup>&Dagger;</sup><br />
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IEEE International Conference on Acoustics, Speech and Signal Processing&nbsp;(ICASSP), pp. 1--5, 2025<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2502.03750) &bull; [\[BibTeX\]](Zhang25a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2502.03750) &bull; [\[GitHub\]](https://github.com/LydiaMez/AdaL-PCA) &bull; [\[BibTeX\]](Zhang25a.bib)</small>
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### 2024
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- [*Bayesian Computation Meets Topology*](https://openreview.net/forum?id=0h1DtRK6dA)<br />
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J.&nbsp;von Rohrscheidt, B.&nbsp;Rieck<sup>&Dagger;</sup>, and S.&thinsp;M.&nbsp;Schmon<sup>&Dagger;</sup><br />
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Transactions on Machine Learning Research, 2024<br />
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<small>[\[BibTeX\]](vonRohrscheidt24a.bib)</small>
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<small>[\[GitHub\]](https://github.com/aidos-lab/TABAC) &bull; [\[BibTeX\]](vonRohrscheidt24a.bib)</small>
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- [*Graph Classification Gaussian Processes via Hodgelet Spectral Features*](https://openreview.net/forum?id=zgLOn7f2Lp)<br />
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M.&nbsp;Alain, S.&nbsp;Takao, B.&nbsp;Rieck, X.&nbsp;Dong, and E.&nbsp;Noutahi<br />
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&ldquo;Bayesian Decision-Making and Uncertainty&rdquo; Workshop at NeurIPS, 2024<br />
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<small>[\[BibTeX\]](Alain24a.bib)</small>
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- [*Metric Space Magnitude for Evaluating the Diversity of Latent Representations*](https://papers.nips.cc/paper_files/paper/2024/hash/dfc24bd3ec5d74960e104268bbb52849-Abstract-Conference.html)<br />
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K.&nbsp;Limbeck, R.&nbsp;Andreeva, R.&nbsp;Sarkar, and B.&nbsp;Rieck<br />
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Advances in Neural Information Processing Systems, Volume 37, pp. 123911--123953, 2024<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2311.16054) &bull; [\[BibTeX\]](Limbeck24a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2311.16054) &bull; [\[GitHub\]](https://github.com/aidos-lab/magnipy) &bull; [\[BibTeX\]](Limbeck24a.bib)</small>
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- [*Detecting Spatial Dependence in Transcriptomics Data Using Vectorised Persistence Diagrams*](https://arxiv.org/abs/2409.03575)<br />
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K.&nbsp;Limbeck and B.&nbsp;Rieck<br />
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Preprint, 2024<br />
@@ -155,7 +159,7 @@ Proceedings of the 41st International Conference on Machine Learning, Volume 235
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- [*The Magnitude Vector of Images*](https://dx.doi.org/10.1007/s41468-024-00182-9)<br />
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M.&thinsp;F.&nbsp;Adamer, E.&nbsp;De Brouwer, L.&nbsp;O'Bray, and B.&nbsp;Rieck<br />
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Journal of Applied and Computational Topology, Volume 8, Number 3, pp. 447--473, 2024<br />
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<small>[\[Preprint\]](https://arxiv.org/abs/2110.15188) &bull; [\[BibTeX\]](Adamer24a.bib)</small>
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<small>[\[Preprint\]](https://arxiv.org/abs/2110.15188) &bull; [\[GitHub\]](https://github.com/MikeAdamer/mag-metric) &bull; [\[BibTeX\]](Adamer24a.bib)</small>
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- *Adaptative Local PCA for Curvature Estimation on Data Manifolds*<br />
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Y.&nbsp;Zhang<sup>&dagger;</sup>, L.&nbsp;Mezrag<sup>&dagger;</sup>, X.&nbsp;Sun, C.&nbsp;Xu, S.&nbsp;Krishnaswamy<sup>&Dagger;</sup>, G.&nbsp;Wolf<sup>&Dagger;</sup>, and B.&nbsp;Rieck<sup>&Dagger;</sup><br />
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Helmholtz AI Conference: AI for Science, 2024<br />

static/research/Adamer24a.bib

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number = {3},
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pages = {447--473},
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primaryclass = {cs.LG},
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repository = {https://github.com/MikeAdamer/mag-metric},
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title = {The magnitude vector of images},
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volume = {8},
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year = {2024},

static/research/Ballester25a.bib

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eprint = {2410.02392},
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keywords = {CORE-A*},
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primaryclass = {cs.LG},
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repository = {https://github.com/aidos-lab/mantra},
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title = {{MANTRA}: The Manifold Triangulations Assemblage},
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url = {https://openreview.net/forum?id=X6y5CC44HM},
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year = {2025},

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pages = {42:1--42:31},
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publisher = {PMLR},
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repository = {https://github.com/aidos-lab/PH_expressivity},
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series = {Proceedings of Machine Learning Research},
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title = {On the Expressivity of Persistent Homology in Graph Learning},
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url = {https://proceedings.mlr.press/v269/ballester25a.html},

static/research/Canova25a.bib

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author+an = {4=highlight},
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eprint = {2408.11450},
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primaryclass = {math.AT},
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repository = {https://github.com/a-zeg/ellipsoids},
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title = {Persistent Homology via Ellipsoids},
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year = {2025},
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}

static/research/Hetzel25a.bib

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keywords = {CORE-A*},
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note = {Accepted as a \emph{spotlight} presentation~(\textbf{top 5\%} of all submissions)},
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primaryclass = {physics.chem-ph},
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repository = {https://github.com/TUM-DAML/MAGNet},
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title = {{MAGNet}: Motif-Agnostic Generation of Molecules from Scaffolds},
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url = {https://openreview.net/forum?id=5FXKgOxmb2},
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year = {2025},

static/research/Limbeck24a.bib

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pages = {123911--123953},
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primaryclass = {cs.LG},
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publisher = {Curran Associates, Inc.},
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repository = {https://github.com/aidos-lab/magnipy},
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title = {Metric Space Magnitude for Evaluating the Diversity of Latent Representations},
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url = {https://papers.nips.cc/paper_files/paper/2024/hash/dfc24bd3ec5d74960e104268bbb52849-Abstract-Conference.html},
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volume = {37},

static/research/Limbeck25a.bib

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author = {Katharina Limbeck and Lydia Mezrag and Guy Wolf and Bastian Rieck},
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author+an = {1=first; 2=first; 3=last; 4=last,highlight},
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booktitle = {ECML PKDD Workshop on Mining and Learning with Graphs},
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repository = {https://github.com/aidos-lab/mag_edge_pool},
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title = {Geometry-Aware Edge Pooling for Graph Neural Networks},
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year = {2025},
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}

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publisher = {Curran Associates, Inc.},
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pubstate = {inpress},
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repository = {https://github.com/aidos-lab/mag_edge_pool},
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title = {Geometry-Aware Edge Pooling for Graph Neural Networks},
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volume = {38},
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year = {2025},

static/research/Rieck25a.bib

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number = {7},
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repository = {https://github.com/aidos-lab/ECT},
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title = {Topology meets Machine Learning: An Introduction using the Euler Characteristic Transform},
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url = {https://www.ams.org/journals/notices/202507/rnoti-p719.pdf},
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volume = {72},

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