Fetching the paper…
Reading the bibliography…
Persistent homology (PH) is an approach to topological data analysis (TDA) that computes multi-scale topologically invariant properties of high-dimensional data that are robust to noise.
Topological persistence and simplification
Herbert Edelsbrunner, David Letscher, and Afra Zomorodian · 2000
Earlier work this paper cites.
Vines and vineyards by updating persistence in linear time
David Cohen-Steiner, Herbert Edelsbrunner, and Dmitriy Morozov · 2006
Earlier work this paper cites.
Persistent homology-a survey
Herbert Edelsbrunner and John Harer · 2008
Earlier work this paper cites.
Comprehensive mapping of long-range interactions reveals folding principles of the human genome
Erez Lieberman-Aiden, Nynke L Van Berkum, Louise Williams, Maxim Imakaev, Tobias Ragoczy, Agnes Telling, Ido Amit, Bryan R Lajoie, Peter J Sabo, Michael O Dorschner, et al · 2009
Earlier work this paper cites.
Dualities in persistent (co) homology
Vin De Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson · 2011
Earlier work this paper cites.
Persistent homology computation with a twist
Chao Chen and Michael Kerber · 2011
Cited alongside, same era.
Topological domains in mammalian genomes identified by analysis of chromatin interactions
Jesse R Dixon, Siddarth Selvaraj, Feng Yue, Audrey Kim, Yan Li, Yin Shen, Ming Hu, Jun S Liu, and Bing Ren · 2012
Cited alongside, same era.
The simplex tree: an efficient data structure for general simplicial complexes
Jean-Daniel Boissonnat and Clément Maria · 2014
Cited alongside, same era.
A 3d map of the human genome at kilobase resolution reveals principles of chromatin looping
Suhas SP Rao, Miriam H Huntley, Neva C Durand, Elena K Stamenova, Ivan D Bochkov, James T Robinson, Adrian L Sanborn, Ido Machol, Arina D Omer, Eric S Lander, et al · 2014
Cited alongside, same era.
Cohesin loss eliminates all loop domains
Suhas SP Rao, Su-Chen Huang, Brian Glenn St Hilaire, Jesse M Engreitz, Elizabeth M Perez, Kyong-Rim Kieffer-Kwon, Adrian L Sanborn, Sarah E Johnstone, Gavin D Bascom, Ivan D Bochkov, et al · 2017
Cited alongside, same era.
A roadmap for the computation of persistent homology
Nina Otter, Mason A Porter, Ulrike Tillmann, Peter Grindrod, and Heather A Harrington · 2017
Later among the works it cites.
Organizational principles of 3d genome architecture
M Jordan Rowley and Victor G Corces · 2018
Later among the works it cites.
Ripser: efficient computation of vietoris-rips persistence barcodes
Ulrich Bauer · 2019
Later among the works it cites.
Simba: An efficient tool for approximating rips-filtration persistence via sim plicial ba tch collapse
Tamal K Dey, Dayu Shi, and Yusu Wang · 2019
Later among the works it cites.
Pi-net: A deep learning approach to extract topological persistence images
Anirudh Som, Hongjun Choi, Karthikeyan Natesan Ramamurthy, Matthew P Buman, and Pavan Turaga · 2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…