Dowker duality, profunctors, and spectral sequences
IHR Yoon - arXiv preprint arXiv:2408.13136, 2024 - arxiv.org
The intent of this paper is to explore Dowker duality from a combinatorial, topological, and
categorical perspective. The paper presents three short, new proofs of Dowker duality using …
categorical perspective. The paper presents three short, new proofs of Dowker duality using …
Integrating diverse statistical methods to analyse stage-discriminatory cell interactions in colorectal neoplasia
Spatial biology has the potential to unlock information about the disrupted cellular
ecosystems that define human disease. Quantitative analysis of spatially-resolved cell …
ecosystems that define human disease. Quantitative analysis of spatially-resolved cell …
MuSpAn: A Toolbox for Multiscale Spatial Analysis
The generation of spatial data in biology has been transformed by multiplex imaging and
spatial-omics technologies, such as single cell spatial transcriptomics. These approaches …
spatial-omics technologies, such as single cell spatial transcriptomics. These approaches …
[PDF][PDF] Probability Meets Topological Data Analysis
N Hellmer - 2024 - repozytorium.uw.edu.pl
This thesis presents a collection of results at the interface between probability and
topological data analysis (TDA). From a data driven perspective, we assume that samples lie …
topological data analysis (TDA). From a data driven perspective, we assume that samples lie …