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20242026
most citedApproximating Persistent Homology for Large Datasets

4 citations · 4 across the 16 of their papers we have counts for

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cs.LG2026

Tracking Representation Dynamics in Large Language Models with Persistent Homology

Naman Malhotra, Jay Ambadkar, Abhinav Gupta +4

Large language models are commonly aligned through supervised fine-tuning, yet little is known about how their internal representations evolve during this process. We study alignme…

cs.LG2026

Topological Signatures of Grokking

Yifan Tang, Qiquan Wang, Inés García-Redondo +1

We study the grokking phenomenon through the lens of topology. Using persistent homology on point clouds derived from the embedding matrices of a range of models trained on modular…

cs.LG2026

Feature Starvation as Geometric Instability in Sparse Autoencoders

Faris Chaudhry, Keisuke Yano, Anthea Monod

Sparse autoencoders (SAEs) are used to disentangle the dense, polysemantic internal representations of large language models (LLMs) into interpretable, monosemantic concepts. Howev…

cs.LG2026

The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology

Aideen Fay, Inés García-Redondo, Qiquan Wang +2

Existing interpretability methods for Large Language Models (LLMs) predominantly capture linear directions or isolated features. This overlooks the high-dimensional, relational, an…

cs.LG2026

Breaking Symmetry Bottlenecks in GNN Readouts

Mouad Talhi, Arne Wolf, Anthea Monod

Graph neural networks (GNNs) are widely used for learning on structured data, yet their ability to distinguish non-isomorphic graphs is fundamentally limited. These limitations are…

cs.LG2026

Riemannian Neural Optimal Transport

Alessandro Micheli, Yueqi Cao, Anthea Monod +1

Computational optimal transport (OT) offers a principled framework for generative modeling. Neural OT methods, which use neural networks to learn an OT map (or potential) from data…