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pro vyhledávání: '"Yoon, Iris H. R."'
Autor:
Yoon, Iris H. R.
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 various poset fiber lemmas. We introduce modifications of joins a
Externí odkaz:
http://arxiv.org/abs/2408.13136
Autor:
Stolz, Bernadette J., Dhesi, Jagdeep, Bull, Joshua A., Harrington, Heather A., Byrne, Helen M., Yoon, Iris H. R.
Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focused on the analysis of data consisting of a single entity (e.g., cells
Externí odkaz:
http://arxiv.org/abs/2308.06205
Autor:
Yang, Jingjie, Fang, Heidi, Dhesi, Jagdeep, Yoon, Iris H. R., Bull, Joshua A., Byrne, Helen M., Harrington, Heather A., Grindstaff, Gillian
The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and intricate spatial patterns, yet share similar cell configurations in th
Externí odkaz:
http://arxiv.org/abs/2308.05294
Autor:
Barbensi, Agnese, Yoon, Iris H. R., Madsen, Christian Degnbol, Ajayi, Deborah O., Stumpf, Michael P. H., Harrington, Heather A.
Scientific data has been growing in both size and complexity across the modern physical, engineering, life and social sciences. Spatial structure, for example, is a hallmark of many of the most important real-world complex systems, but its analysis i
Externí odkaz:
http://arxiv.org/abs/2210.07545
A central challenge in topological data analysis is the interpretation of barcodes. The classical algebraic-topological approach to interpreting homology classes is to build maps to spaces whose homology carries semantics we understand and then to ap
Externí odkaz:
http://arxiv.org/abs/2201.05190
Autor:
Yoon, Iris H. R., Ghrist, Robert
A method is presented for the distributed computation of persistent homology, based on an extension of the generalized Mayer-Vietoris principle to filtered spaces. Cellular cosheaves and spectral sequences are used to compute global persistent homolo
Externí odkaz:
http://arxiv.org/abs/2001.01623
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