[PDF][PDF] Position: Topological Deep Learning is the New Frontier for Relational Learning

T Papamarkou, T Birdal, M Bronstein… - arxiv preprint arxiv …, 2024 - scholar9.com
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to
understand and design deep learning models. This paper posits that TDL may complement …

Multi-scale geometric network analysis identifies melanoma immunotherapy response gene modules

KA Murgas, R Elkin, N Riaz, E Saucan, JO Deasy… - Scientific Reports, 2024 - nature.com
Melanoma response to immune-modulating therapy remains incompletely characterized at
the molecular level. In this study, we assess melanoma immunotherapy response using a …

On the expressivity of persistent homology in graph learning

R Ballester, B Rieck - arxiv preprint arxiv:2302.09826, 2023 - arxiv.org
Persistent homology, a technique from computational topology, has recently shown strong
empirical performance in the context of graph classification. Being able to capture long …

On the expressivity of persistent homology in graph learning

R Ballester, B Rieck - The Third Learning on Graphs Conference, 2024 - openreview.net
Persistent homology, a technique from computational topology, has recently shown strong
empirical performance in the context of graph classification. Being able to capture long …

From Geometry to Causality-Ricci Curvature and the Reliability of Causal Inference on Networks

A Farzam, A Tannenbaum, G Sapiro - Forty-first International …, 2024 - openreview.net
Causal inference on networks faces challenges posed in part by violations of standard
identification assumptions due to dependencies between treatment units. Although graph …

Boosting Graph Pooling with Persistent Homology

C Ying, X Zhao, T Yu - arxiv preprint arxiv:2402.16346, 2024 - arxiv.org
Recently, there has been an emerging trend to integrate persistent homology (PH) into
graph neural networks (GNNs) to enrich expressive power. However, naively plugging PH …

Exploring graph and digraph persistence

MG Bergomi, M Ferri - Algorithms, 2023 - mdpi.com
Among the various generalizations of persistent topology, that based on rank functions and
leading to indexing-aware functions appears to be particularly suited to catching graph …

Curvature and causal inference in network data

A Farzam, A Tannenbaum, G Sapiro - … Learning Workshop at …, 2023 - openreview.net
Learning causal mechanisms involving networked units of data is a notoriously challenging
task with various applications. Graph Neural Networks (GNNs) have proven to be effective …

CliquePH: Higher-Order Information for Graph Neural Networks through Persistent Homology on Clique Graphs

D Buffelli, F Soleymani, B Rieck - arxiv preprint arxiv:2409.08217, 2024 - arxiv.org
Graph neural networks have become the default choice by practitioners for graph learning
tasks such as graph classification and node classification. Nevertheless, popular graph …

Characterizing Physician Referral Networks with Ricci Curvature

J Wayland, RJ Funk, B Rieck - arxiv preprint arxiv:2408.16022, 2024 - arxiv.org
Identifying (a) systemic barriers to quality healthcare access and (b) key indicators of care
efficacy in the United States remains a significant challenge. To improve our understanding …