11### 2025
22
3+ - [ * NervePool: A Simplicial Pooling Layer* ] ( https://arxiv.org/abs/2305.06315 ) <br />
4+ S.&thinsp ; M.  ; Scullen<sup >&dagger ; </sup >, E.  ; Röell<sup >&dagger ; </sup >, E.  ; Munch, B.  ; Rieck, and M.  ; Hirn<br />
5+ Preprint, 2025<br />
6+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2305.06315 ) &bull ; [ \[ GitHub\] ] ( https://github.com/aidos-lab/nerve-pool ) &bull ; [ \[ BibTeX\] ] ( Scullen25a.bib ) </small >
37- [ * Homomorphism Distortion: A Metric to Distinguish Them All and in the Latent Space Bind Them* ] ( https://arxiv.org/abs/2511.03068 ) <br />
48M.  ; Carrasco, O.  ; Zaghen, E.  ; Bekkers, and B.  ; Rieck<br />
59M.Sc. thesis, Vrije Universiteit Amsterdam, 2025<br />
610 <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2511.03068 ) &bull ; [ \[ BibTeX\] ] ( Carrasco25a.bib ) </small >
711- [ * Persistent Homology via Ellipsoids* ] ( https://arxiv.org/abs/2408.11450 ) <br />
812N.  ; Canova, S.  ; Kališnik, A.  ; Moser, B.  ; Rieck, and A.  ; Žegarac<br />
913Preprint, 2025<br />
10- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2408.11450 ) &bull ; [ \[ BibTeX\] ] ( Canova25a.bib ) </small >
14+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2408.11450 ) &bull ; [ \[ GitHub \] ] ( https://github.com/a-zeg/ellipsoids ) & bull ; [ \[ BibTeX\] ] ( Canova25a.bib ) </small >
1115- [ * TOAST: Transformer Optimization Using Adaptive and Simple Transformations* ] ( https://arxiv.org/abs/2410.04941 ) <br />
1216I.  ; Cannistraci, S.  ; Antonelli, E.  ; Palumbo, T.&thinsp ; M.  ; Sutter, E.  ; Rodolà, B.  ; Rieck, and J.&thinsp ; E.  ; Vogt<br />
1317Preprint, 2025<br />
@@ -19,15 +23,15 @@ Nature Energy, Volume 10, Number 10, pp. 1274--1288, 2025<br />
1923- [ * Less Is More: Local Intrinsic Dimensions of Contextual Language Models* ] ( https://arxiv.org/abs/2506.01034 ) <br />
2024B.&thinsp ; M.  ; Ruppik, J.  ; von Rohrscheidt, C.  ; van Niekerk, M.  ; Heck, R.  ; Vukovic, S.  ; Feng, H.  ; Lin, N.  ; Lubis, B.  ; Rieck, M.  ; Zibrowius, and M.  ; Gašić<br />
2125Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
22- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2506.01034 ) &bull ; [ \[ BibTeX\] ] ( Ruppik25a.bib ) </small >
26+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2506.01034 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/Topo_LLM_public ) & bull ; [ \[ BibTeX\] ] ( Ruppik25a.bib ) </small >
2327- [ * Point Cloud Synthesis Using Inner Product Transforms* ] ( https://arxiv.org/abs/2410.18987 ) <br />
2428E.  ; Röell and B.  ; Rieck<br />
2529Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
26- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2410.18987 ) &bull ; [ \[ BibTeX\] ] ( Roell25a.bib ) </small >
30+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2410.18987 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/inner-product-transforms ) & bull ; [ \[ BibTeX\] ] ( Roell25a.bib ) </small >
2731- [ * Geometry-Aware Edge Pooling for Graph Neural Networks* ] ( https://arxiv.org/abs/2506.11700 ) <br />
2832K.  ; Limbeck<sup >&dagger ; </sup >, L.  ; Mezrag<sup >&dagger ; </sup >, G.  ; Wolf<sup >&Dagger ; </sup >, and B.  ; Rieck<sup >&Dagger ; </sup ><br />
2933Advances in Neural Information Processing Systems, Volume 38, 2025 (in press)<br />
30- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2506.11700 ) &bull ; [ \[ BibTeX\] ] ( Limbeck25b.bib ) </small >
34+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2506.11700 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/mag_edge_pool ) & bull ; [ \[ BibTeX\] ] ( Limbeck25b.bib ) </small >
3135- [ * Diss-l-ECT: Dissecting Graph Data With Local Euler Characteristic Transforms* ] ( https://proceedings.mlr.press/v267/von-rohrscheidt25a.html ) <br />
3236J.  ; von Rohrscheidt and B.  ; Rieck<br />
3337Proceedings of the 42nd International Conference on Machine Learning, Volume 267, pp. 61790--61809, 2025<br />
@@ -51,7 +55,7 @@ Preprint, 2025<br />
5155- [ * On the Expressivity of Persistent Homology in Graph Learning* ] ( https://proceedings.mlr.press/v269/ballester25a.html ) <br />
5256R.  ; Ballester and B.  ; Rieck<br />
5357Proceedings of the Third Learning on Graphs Conference, Volume 269, pp. 42:1--42:31, 2025<br />
54- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2302.09826 ) &bull ; [ \[ BibTeX\] ] ( Ballester25b.bib ) </small >
58+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2302.09826 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/PH_expressivity ) & bull ; [ \[ BibTeX\] ] ( Ballester25b.bib ) </small >
5559- [ * CliquePH: Higher-Order Information for Graph Neural Networks Through Persistent Homology on Clique Graphs* ] ( https://proceedings.mlr.press/v269/buffelli25a.html ) <br />
5660D.  ; Buffelli<sup >&dagger ; </sup >, F.  ; Soleymani<sup >&dagger ; </sup >, and B.  ; Rieck<br />
5761Proceedings 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 />
6771- * Geometry-Aware Edge Pooling for Graph Neural Networks* <br />
6872K.  ; Limbeck<sup >&dagger ; </sup >, L.  ; Mezrag<sup >&dagger ; </sup >, G.  ; Wolf<sup >&Dagger ; </sup >, and B.  ; Rieck<sup >&Dagger ; </sup ><br />
6973ECML PKDD Workshop on Mining and Learning with Graphs, 2025<br />
70- <small >[ \[ BibTeX\] ] ( Limbeck25a.bib ) </small >
74+ <small >[ \[ GitHub \] ] ( https://github.com/aidos-lab/mag_edge_pool ) & bull ; [ \[ BibTeX\] ] ( Limbeck25a.bib ) </small >
7175- [ * Topology Meets Machine Learning: An Introduction Using the Euler Characteristic Transform* ] ( https://dx.doi.org/10.1090/noti3193 ) <br />
7276B.  ; Rieck<br />
7377Notices of the American Mathematical Society, Volume 72, Number 7, pp. 719--727, 2025<br />
74- <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 >
78+ <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 >
7579- [ * Molecular Machine Learning Using Euler Characteristic Transforms* ] ( https://arxiv.org/abs/2507.03474 ) <br />
7680V.  ; Toscano-Duran, F.  ; Rottach, and B.  ; Rieck<br />
7781Preprint, 2025<br />
@@ -111,31 +115,31 @@ Preprint, 2025<br />
111115- [ * MANTRA: The Manifold Triangulations Assemblage* ] ( https://openreview.net/forum?id=X6y5CC44HM ) <br />
112116R.  ; Ballester<sup >&dagger ; </sup >, E.  ; Röell<sup >&dagger ; </sup >, D.&thinsp ; B.  ; Schmid<sup >&dagger ; </sup >, M.  ; Alain<sup >&dagger ; </sup >, S.  ; Escalera, C.  ; Casacuberta, and B.  ; Rieck<br />
113117International Conference on Learning Representations, 2025<br />
114- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2410.02392 ) &bull ; [ \[ BibTeX\] ] ( Ballester25a.bib ) </small >
118+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2410.02392 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/mantra ) & bull ; [ \[ BibTeX\] ] ( Ballester25a.bib ) </small >
115119- [ * MAGNet: Motif-Agnostic Generation of Molecules From Scaffolds* ] ( https://openreview.net/forum?id=5FXKgOxmb2 ) <br />
116120L.  ; Hetzel<sup >&dagger ; </sup >, J.  ; Sommer<sup >&dagger ; </sup >, B.  ; Rieck, F.  ; Theis, and S.  ; Günnemann<br />
117121International Conference on Learning Representations, 2025<br />
118- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2305.19303 ) &bull ; [ \[ BibTeX\] ] ( Hetzel25a.bib ) </small ><br />
122+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2305.19303 ) &bull ; [ \[ GitHub \] ] ( https://github.com/TUM-DAML/MAGNet ) & bull ; [ \[ BibTeX\] ] ( Hetzel25a.bib ) </small ><br />
119123 <small >Accepted as a spotlight presentation  ; (top 5% of all submissions)</small >
120124- [ * Principal Curvatures Estimation With Applications to Single Cell Data* ] ( https://dx.doi.org/10.1109/ICASSP49660.2025.10888433 ) <br />
121125Y.  ; Zhang, L.  ; Mezrag, X.  ; Sun, C.  ; Xu, K.  ; Macdonald, D.  ; Bhaskar, S.  ; Krishnaswamy<sup >&Dagger ; </sup >, G.  ; Wolf<sup >&Dagger ; </sup >, and B.  ; Rieck<sup >&Dagger ; </sup ><br />
122126IEEE International Conference on Acoustics, Speech and Signal Processing  ; (ICASSP), pp. 1--5, 2025<br />
123- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2502.03750 ) &bull ; [ \[ BibTeX\] ] ( Zhang25a.bib ) </small >
127+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2502.03750 ) &bull ; [ \[ GitHub \] ] ( https://github.com/LydiaMez/AdaL-PCA ) & bull ; [ \[ BibTeX\] ] ( Zhang25a.bib ) </small >
124128
125129### 2024
126130
127131- [ * Bayesian Computation Meets Topology* ] ( https://openreview.net/forum?id=0h1DtRK6dA ) <br />
128132J.  ; von Rohrscheidt, B.  ; Rieck<sup >&Dagger ; </sup >, and S.&thinsp ; M.  ; Schmon<sup >&Dagger ; </sup ><br />
129133Transactions on Machine Learning Research, 2024<br />
130- <small >[ \[ BibTeX\] ] ( vonRohrscheidt24a.bib ) </small >
134+ <small >[ \[ GitHub \] ] ( https://github.com/aidos-lab/TABAC ) & bull ; [ \[ BibTeX\] ] ( vonRohrscheidt24a.bib ) </small >
131135- [ * Graph Classification Gaussian Processes via Hodgelet Spectral Features* ] ( https://openreview.net/forum?id=zgLOn7f2Lp ) <br />
132136M.  ; Alain, S.  ; Takao, B.  ; Rieck, X.  ; Dong, and E.  ; Noutahi<br />
133137&ldquo ; Bayesian Decision-Making and Uncertainty&rdquo ; Workshop at NeurIPS, 2024<br />
134138 <small >[ \[ BibTeX\] ] ( Alain24a.bib ) </small >
135139- [ * Metric Space Magnitude for Evaluating the Diversity of Latent Representations* ] ( https://papers.nips.cc/paper_files/paper/2024/hash/dfc24bd3ec5d74960e104268bbb52849-Abstract-Conference.html ) <br />
136140K.  ; Limbeck, R.  ; Andreeva, R.  ; Sarkar, and B.  ; Rieck<br />
137141Advances in Neural Information Processing Systems, Volume 37, pp. 123911--123953, 2024<br />
138- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2311.16054 ) &bull ; [ \[ BibTeX\] ] ( Limbeck24a.bib ) </small >
142+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2311.16054 ) &bull ; [ \[ GitHub \] ] ( https://github.com/aidos-lab/magnipy ) & bull ; [ \[ BibTeX\] ] ( Limbeck24a.bib ) </small >
139143- [ * Detecting Spatial Dependence in Transcriptomics Data Using Vectorised Persistence Diagrams* ] ( https://arxiv.org/abs/2409.03575 ) <br />
140144K.  ; Limbeck and B.  ; Rieck<br />
141145Preprint, 2024<br />
@@ -155,7 +159,7 @@ Proceedings of the 41st International Conference on Machine Learning, Volume 235
155159- [ * The Magnitude Vector of Images* ] ( https://dx.doi.org/10.1007/s41468-024-00182-9 ) <br />
156160M.&thinsp ; F.  ; Adamer, E.  ; De Brouwer, L.  ; O'Bray, and B.  ; Rieck<br />
157161Journal of Applied and Computational Topology, Volume 8, Number 3, pp. 447--473, 2024<br />
158- <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2110.15188 ) &bull ; [ \[ BibTeX\] ] ( Adamer24a.bib ) </small >
162+ <small >[ \[ Preprint\] ] ( https://arxiv.org/abs/2110.15188 ) &bull ; [ \[ GitHub \] ] ( https://github.com/MikeAdamer/mag-metric ) & bull ; [ \[ BibTeX\] ] ( Adamer24a.bib ) </small >
159163- * Adaptative Local PCA for Curvature Estimation on Data Manifolds* <br />
160164Y.  ; Zhang<sup >&dagger ; </sup >, L.  ; Mezrag<sup >&dagger ; </sup >, X.  ; Sun, C.  ; Xu, S.  ; Krishnaswamy<sup >&Dagger ; </sup >, G.  ; Wolf<sup >&Dagger ; </sup >, and B.  ; Rieck<sup >&Dagger ; </sup ><br />
161165Helmholtz AI Conference: AI for Science, 2024<br />
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