What are higher-order networks?

C Bick, E Gross, HA Harrington, MT Schaub - SIAM Review, 2023 - SIAM
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

Applications of topological data analysis in oncology

A Bukkuri, N Andor, IK Darcy - Frontiers in artificial intelligence, 2021 - frontiersin.org
The emergence of the information age in the last few decades brought with it an explosion of
biomedical data. But with great power comes great responsibility: there is now a pressing …

Localization in the crowd with topological constraints

S Abousamra, M Hoai, D Samaras… - Proceedings of the AAAI …, 2021 - ojs.aaai.org
We address the problem of crowd localization, ie, the prediction of dots corresponding to
people in a crowded scene. Due to various challenges, a localization method is prone to …

Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors

O Vipond, JA Bull, PS Macklin… - Proceedings of the …, 2021 - National Acad Sciences
Highly resolved spatial data of complex systems encode rich and nonlinear information.
Quantification of heterogeneous and noisy data—often with outliers, artifacts, and …

Multiparameter persistence image for topological machine learning

M Carriere, A Blumberg - Advances in Neural Information …, 2020 - proceedings.neurips.cc
In the last decade, there has been increasing interest in topological data analysis, a new
methodology for using geometric structures in data for inference and learning. A central …

Multi-class cell detection using spatial context representation

S Abousamra, D Belinsky… - Proceedings of the …, 2021 - openaccess.thecvf.com
In digital pathology, both detection and classification of cells are important for automatic
diagnostic and prognostic tasks. Classifying cells into subtypes, such as tumor cells …

Ccf-gnn: A unified model aggregating appearance, microenvironment, and topology for pathology image classification

H Wang, G Huang, Z Zhao, L Cheng… - … on Medical Imaging, 2023 - ieeexplore.ieee.org
Pathology images contain rich information of cell appearance, microenvironment, and
topology features for cancer analysis and diagnosis. Among such features, topology …

Topology-guided multi-class cell context generation for digital pathology

S Abousamra, R Gupta, T Kurc… - Proceedings of the …, 2023 - openaccess.thecvf.com
In digital pathology, the spatial context of cells is important for cell classification, cancer
diagnosis and prognosis. To model such complex cell context, however, is challenging …

Cycle representation learning for inductive relation prediction

Z Yan, T Ma, L Gao, Z Tang… - … Conference on Machine …, 2022 - proceedings.mlr.press
In recent years, algebraic topology and its modern development, the theory of persistent
homology, has shown great potential in graph representation learning. In this paper, based …

Double mental discounting: When a single price promotion feels twice as nice

A Cheng, C Cryder - Journal of Marketing Research, 2018 - journals.sagepub.com
This research finds that when a single gain has strong associations with multiple costs,
consumers often mentally deduct that gain from perceived costs multiple times. For example …