Topological data analysis in medical imaging: current state of the art

Y Singh, CM Farrelly, QA Hathaway, T Leiner… - Insights into …, 2023 - Springer
Abstract Machine learning, and especially deep learning, is rapidly gaining acceptance and
clinical usage in a wide range of image analysis applications and is regarded as providing …

Simplicial convolutional filters

M Yang, E Isufi, MT Schaub… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
We study linear filters for processing signals supported on abstract topological spaces
modeled as simplicial complexes, which may be interpreted as generalizations of graphs …

Topological point cloud clustering

VP Grande, MT Schaub - arXiv preprint arXiv:2303.16716, 2023 - arxiv.org
We present Topological Point Cloud Clustering (TPCC), a new method to cluster points in an
arbitrary point cloud based on their contribution to global topological features. TPCC …

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 …

Beyond symmetrization: effective adjacency matrices and renormalization for (un) singed directed graphs

BMF de Resende - arXiv preprint arXiv:2406.01517, 2024 - arxiv.org
To address the peculiarities of directed and/or signed graphs, new Laplacian operators have
emerged. For instance, in the case of directionality, we encounter the magnetic operator …

Online Edge Flow Prediction Over Expanding Simplicial Complexes

M Yang, B Das, E Isufi - ICASSP 2023-2023 IEEE International …, 2023 - ieeexplore.ieee.org
Simplicial convolutional filters can process signals defined over levels of a simplicial
complex such as nodes, edges, triangles, and so on with applications in eg, flow prediction …

Conectando grafos, grupos e termodinâmica via deformações no Laplaciano para análise de dados em redes complexas

BMF Resende - 2023 - teses.usp.br
Nesta tese, exploramos a interseção entre grafos, grupos e termodinâmica, empregando
uma variedade de ferramentas analíticas e computacionais recentes. O estudo se concentra …

PyTSPL: A Python Library for Topological Signal Processing and Learning

I Hashmi - 2024 - repository.tudelft.nl
Graph-based machine learning has seen significant growth during the past years with great
advancements and applicability. These approaches mostly focus on pairwise interactions …

Understanding health system operation using networks: A literature review

S Manzi - osf.io
Network analysis has been identified as an important approach for understanding and
improving large scale health system operations. This review sought to understand the …

Competitive Dynamics of Physician Referrals in the Era of Accountable Care Organizations

S Park, R Funk, P Karaca-Mandic, A Zaheer - 2022 - osf.io
Advocates of healthcare reform are hopeful that accountable care organizations (ACOs) will
not only help to bend the healthcare spending curve, but also lead to better quality, through …