Topological pattern recognition for point cloud data
G Carlsson - Acta Numerica, 2014 - cambridge.org
In this paper we discuss the adaptation of the methods of homology from algebraic topology
to the problem of pattern recognition in point cloud data sets. The method is referred to as …
to the problem of pattern recognition in point cloud data sets. The method is referred to as …
Confidence sets for persistence diagrams
Confidence sets for persistence diagrams Page 1 The Annals of Statistics 2014, Vol. 42, No.
6, 2301–2339 DOI: 10.1214/14-AOS1252 © Institute of Mathematical Statistics, 2014 …
6, 2301–2339 DOI: 10.1214/14-AOS1252 © Institute of Mathematical Statistics, 2014 …
[PDF][PDF] Statistical inference for topological data analysis
Abstract Topological Data Analysis (TDA) is an emerging area of research at the intersection
of algebraic topology and computational geometry, aimed at describing, summarizing and …
of algebraic topology and computational geometry, aimed at describing, summarizing and …
A-infinity-algebras, spectral sequences and exact couples
E Herscovich - arXiv preprint arXiv:1410.6728, 2014 - arxiv.org
We study in this article a possible further structure of homotopic nature on multiplicative
spectral sequences. More precisely, since Kadeishvili's theorem asserts that, given a dg (or …
spectral sequences. More precisely, since Kadeishvili's theorem asserts that, given a dg (or …