4 papers
Topological Deep Learning Challenge 2026: Bridging the Gap
Guillermo Bernárdez, Lev Telyatnikov, Mathilde Papillon +68
This paper describes the 2026 edition of the Topological Deep Learning Challenge: Bridging the Gap, hosted at the second Topology, Algebra, and Geometry in Data Science (TAG-DS) Co…
CAESAR: Clustering via Autonomous Embedding-Space Agglomerative Reorganization
Ilan Bacry, Rémi Devaux, Antoine Jardin
Clustering algorithms that operate on nearest-neighbor graphs, such as FINCH (First Integer Neighbor Clustering Hierarchy), depend heavily on the quality of the embedding space the…
Look Before You Lift: Visual and Quantitative Diagnostics for Topological Deep Learning
Mathilde Papillon, Guillermo Bernárdez, Álvaro Ballón Barreiro +4
Topological deep learning (TDL) methods rely on lifting raw data into higher-order discrete domains such as simplicial complexes, cell complexes, and hypergraphs. In practice, this…
An Experimental Method to Study Opinion Diffusion in Human-AI Hybrid Societies
Léna Gaubert, Rémi Devaux, Elif Çelen +4
As artificial intelligence increasingly mediates public discourse, it becomes important to understand how human-AI collectives shape opinion formation, deliberation, and democratic…