Topological signal processing and learning: Recent advances and future challenges

E Isufi, G Leus, B Beferull-Lozano, S Barbarossa… - Signal Processing, 2025 - Elsevier
Develo** methods to process irregularly structured data is crucial in applications like gene-
regulatory, brain, power, and socioeconomic networks. Graphs have been the go-to …

[HTML][HTML] What ChatGPT Has to Say About Its Topological Structure: The Anyon Hypothesis

M Planat, M Amaral - Machine Learning and Knowledge Extraction, 2024 - mdpi.com
Large language models (LLMs) achieve remarkable predictive capabilities but remain
opaque in their internal reasoning, creating a pressing need for more interpretable artificial …

Integrable Matrix Probabilistic Diffusions and the Matrix Stochastic Heat Equation

A Krajenbrink, PL Doussal - arxiv preprint arxiv:2410.01764, 2024 - arxiv.org
We introduce a matrix version of the stochastic heat equation, the MSHE, and obtain its
explicit invariant measure in spatial dimension $ D= 1$. We show that it is classically …

Wrapped Gaussian on the manifold of Symmetric Positive Definite Matrices

T de Surrel, F Lotte, S Chevallier, F Yger - arxiv preprint arxiv:2502.01512, 2025 - arxiv.org
Circular and non-flat data distributions are prevalent across diverse domains of data
science, yet their specific geometric structures often remain underutilized in machine …