A survey of topological machine learning methods

F Hensel, M Moor, B Rieck - Frontiers in Artificial Intelligence, 2021 - frontiersin.org
The last decade saw an enormous boost in the field of computational topology: methods and
concepts from algebraic and differential topology, formerly confined to the realm of pure …

Position paper: Challenges and opportunities in topological deep learning

T Papamarkou, T Birdal, M Bronstein… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Topological graph neural networks

M Horn, E De Brouwer, M Moor, Y Moreau… - arXiv preprint arXiv …, 2021 - arxiv.org
Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks,
yet have been shown to be oblivious to eminent substructures such as cycles. We present …

TAMP-S2GCNets: coupling time-aware multipersistence knowledge representation with spatio-supra graph convolutional networks for time-series forecasting

Y Chen, I Segovia-Dominguez… - International …, 2022 - openreview.net
Graph Neural Networks (GNNs) are proven to be a powerful machinery for learning complex
dependencies in multivariate spatio-temporal processes. However, most existing GNNs …

Curvature filtrations for graph generative model evaluation

J Southern, J Wayland… - Advances in Neural …, 2024 - proceedings.neurips.cc
Graph generative model evaluation necessitates understanding differences between graphs
on the distributional level. This entails being able to harness salient attributes of graphs in …

Link prediction with persistent homology: An interactive view

Z Yan, T Ma, L Gao, Z Tang… - … conference on machine …, 2021 - proceedings.mlr.press
Link prediction is an important learning task for graph-structured data. In this paper, we
propose a novel topological approach to characterize interactions between two nodes. Our …

Topological detection of trojaned neural networks

S Zheng, Y Zhang, H Wagner… - Advances in Neural …, 2021 - proceedings.neurips.cc
Deep neural networks are known to have security issues. One particular threat is the Trojan
attack. It occurs when the attackers stealthily manipulate the model's behavior through …

Time-conditioned dances with simplicial complexes: Zigzag filtration curve based supra-hodge convolution networks for time-series forecasting

Y Chen, Y Gel, HV Poor - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Graph neural networks (GNNs) offer a new powerful alternative for multivariate time series
forecasting, demonstrating remarkable success in a variety of spatio-temporal applications …

Topological attention for time series forecasting

S Zeng, F Graf, C Hofer, R Kwitt - Advances in neural …, 2021 - proceedings.neurips.cc
The problem of (point) forecasting univariate time series is considered. Most approaches,
ranging from traditional statistical methods to recent learning-based techniques with neural …

ToDD: Topological compound fingerprinting in computer-aided drug discovery

A Demir, B Coskunuzer, Y Gel… - Advances in …, 2022 - proceedings.neurips.cc
In computer-aided drug discovery (CADD), virtual screening (VS) is used for comparing a
library of compounds against known active ligands to identify the drug candidates that are …