[PDF][PDF] Position: Topological Deep Learning is the New Frontier for Relational Learning
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 …
understand and design deep learning models. This paper posits that TDL may complement …
Multi-scale geometric network analysis identifies melanoma immunotherapy response gene modules
Melanoma response to immune-modulating therapy remains incompletely characterized at
the molecular level. In this study, we assess melanoma immunotherapy response using a …
the molecular level. In this study, we assess melanoma immunotherapy response using a …
On the expressivity of persistent homology in graph learning
Persistent homology, a technique from computational topology, has recently shown strong
empirical performance in the context of graph classification. Being able to capture long …
empirical performance in the context of graph classification. Being able to capture long …
On the expressivity of persistent homology in graph learning
Persistent homology, a technique from computational topology, has recently shown strong
empirical performance in the context of graph classification. Being able to capture long …
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
Causal inference on networks faces challenges posed in part by violations of standard
identification assumptions due to dependencies between treatment units. Although graph …
identification assumptions due to dependencies between treatment units. Although graph …
Boosting Graph Pooling with Persistent Homology
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 …
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 …
leading to indexing-aware functions appears to be particularly suited to catching graph …
Curvature and causal inference in network data
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 …
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
Graph neural networks have become the default choice by practitioners for graph learning
tasks such as graph classification and node classification. Nevertheless, popular graph …
tasks such as graph classification and node classification. Nevertheless, popular graph …
Characterizing Physician Referral Networks with Ricci Curvature
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 …
efficacy in the United States remains a significant challenge. To improve our understanding …