Aina Ferrà Marcús, Robert Jankowski, Meritxell Vila Miñana, Carles Casacuberta, M. Ángeles Serrano
Chordless cycle filtrations for dimensionality detection in complex networks via topological data analysis
arXiv:2509.08350 (September 2025)
Rubén Ballester, Carles Casacuberta, Sergio Escalera
Topological Data Analysis for Neural Networks
Springer Briefs in Computer Science, Springer, Cham, 2025, to appear
https://link.springer.com/book/9783032082824?srsltid=AfmBOopYENTM-hFzEpCZj825JUAe7DlW_s_NXK1WbUo1TDyAEz8AfTdk
Melih Barsbey, Rubén Ballester, Andac Demir, Carles Casacuberta, Pablo Hernández-García, David Pujol-Perich, Sarper Yurtseven, Sergio Escalera, Claudio Battiloro, Mustafa Hajij, Tolga Birdal
Higher-order molecular learning: The Cellular Transformer
ICLR 2025 Workshop on Generative and Experimental Perspectives for Biomolecular Design
OpenReview (March 2025)
Rubén Ballester, Ernst Röell, Daniel Bin Schmid, Mathieu Alain, Sergio Escalera, Carles Casacuberta, Bastian Rieck
MANTRA: The Manifold Triangulations Assemblage
The Thirteenth International Conference on Learning Representations, ICLR 2025
OpenReview (January 2025)
Rubén Ballester, Bastian Rieck
On the expressivity of persistent homology in graph learning
Third Learning on Graphs Conference, LoG 2024
Proceedings of Machine Learning Research 269:42:1-42:31 (2025), open access
https://proceedings.mlr.press/v269/ballester25a.html
Rubén Ballester, Pablo Hernández-García, Mathilde Papillon, Claudio Battiloro, Nina Miolane, Tolga Birdal, Carles Casacuberta, Sergio Escalera, Mustafa Hajij
Attending to topological spaces: The Cellular Transformer
arXiv:2405.14094 (May 2024)
Mustafa Hajij, Mathilde Papillon, Florian Frantzen, Jens Agerberg, Ibrahem AlJabea, Rubén Ballester, et al.
TopoX: A Suite of Python Packages for Machine Learning on Topological Domains
Journal of Machine Learning Research 25(374):1-8 (2024)
https://www.jmlr.org/papers/v25/24-0110.html
Rubén Ballester, Carles Casacuberta, Sergio Escalera
Topological data analysis for neural network analysis: A comprehensive survey
arXiv:2312.05840 (December 2023)
Rubén Ballester, Xavier Arnal Clemente, Carles Casacuberta, Meysam Madadi, Ciprian A. Corneanu, Sergio Escalera
Predicting the generalization gap in neural networks using topological data analysis
Neurocomputing 596 (2024), 127787, open access
DOI:10.1016/j.neucom.2024.127787
Rubén Ballester, Carles Casacuberta, Sergio Escalera
Decorrelating neurons using persistence
NeurIPS 2023 Workshop on Symmetry and Geometry in Neural Representations
Proceedings of Machine Learning Research 228:164-182 (2024), open access
https://proceedings.mlr.press/v228/ballester24a.html
Aina Ferrà, Gloria Cecchini, Fritz-Pere Nobbe Fisas, Carles Casacuberta, Ignasi Cos
A topological classifier to characterize brain states: When shape matters more than variance
PLoS ONE 18(10): e0292049 (2023), open access
DOI:10.1371/journal.pone.0292049
Aina Ferrà, Carles Casacuberta, Oriol Pujol
Importance attribution in neural networks by means of persistence landscapes of time series
Neural Computing and Applications 35, 20143-20156 (2023), open access
DOI:10.1007/s00521-023-08731-6
Aina Ferrà, Carles Casacuberta, Oriol Pujol
Reconstruction of univariate functions from directional persistence diagrams
Applicable Algebra in Engineering, Communication and Computing, to appear
arXiv:2203.01894 (v1: March 2022; v2: February 2023)