Persistent Dirac for molecular representation

JJ Wee, G Bianconi, K Xia - Scientific Reports, 2023 - nature.com
Molecular representations are of fundamental importance for the modeling and analysing
molecular systems. The successes in drug design and materials discovery have been …

Persistent homology for resource coverage: A case study of access to polling sites

A Hickok, B Jarman, M Johnson, J Luo, MA Porter - SIAM Review, 2024 - SIAM
It is important to choose the geographical distributions of public resources in a fair and
equitable manner. However, it is complicated to quantify the equity of such a distribution; …

Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework

SY Zhang, F Lan, Y Zhou, A Barbensi… - arXiv preprint arXiv …, 2024 - arxiv.org
Interactions and relations between objects may be pairwise or higher-order in nature, and so
network-valued data are ubiquitous in the real world. The" space of networks", however, has …

Topological Optimal Transport for Geometric Cycle Matching

SY Zhang, MPH Stumpf, T Needham… - arXiv preprint arXiv …, 2024 - arxiv.org
Topological data analysis is a powerful tool for describing topological signatures in real
world data. An important challenge in topological data analysis is matching significant …

Topics in Persistent Homology and Complex Social Systems

J Luo - 2024 - escholarship.org
The field of topological data analysis (TDA) uses tools from algebraic topology to capture
quantitative structural properties in a data set. Perhaps the most popular tool in TDA is …

[图书][B] Topics in Geometric and Topological Data Analysis

A Hickok - 2023 - search.proquest.com
The fields of topological data analysis (TDA) and geometric data analysis (GDA) use
algebraic topology and differential geometry to capture topological and geometric structural …