In the absence of external stimuli, neural activity continuously evolves from one configuration to another. Whether these transitions or explorations follow some underlying arrangement or lack a predictable ordered plan remains to be determined. Here, using fMRI data from highly sampled individuals (~5...
In this paper we review this methodology and discuss several applications that can lead to new perspectives to modelling and simulation in system behaviour. 展开 关键词: Time series analysis Data analysis Feature extraction Topology Three-dimensional displays Reliability ...
Topological Data Analysis quantifies hidden topological structures in big raw noisy data. The flagship tool (persistent homology) summarises the underlying structure across all scales. The stability result says that such a summary (persistence diagram) is robust to noise. We shall review potential ...
This short review aims to give a quick introduction to TDA and how it can be applied to EEG analysis in various applications including brain-computer interfaces (BCIs). After introducing the objective of the article, the main concepts and ideas of TDA are explained. Next, how to implement it...
Review Article | 21 June 2023 A second wave of topological phenomena in photonics and acoustics The current state of the art of topological phenomena in photonics and acoustics is reviewed and future research directions for valuable applications are discussed. Xiujuan Zhang , Farzad Zangeneh-Nejad...
Updates for the joss review Jan 9, 2025 tests Update DAF unit test to use data file to mitigate floating point diff… Nov 6, 2024 .gitattributes first draft of updated documentation Oct 14, 2020 .gitignore Made example of how I think we should do the rest of the DynSysLib do… ...
Li, Max Z,Ryerson, Megan S,Balakrishnan, Hamsa - 《Transportation Research Part E Logistics\s&\stransportation Review》 被引量: 0发表: 2019年 Using topological data analysis in social science research: Unpacking decisions and opportunities for a new method This research paper describes a new stat...
In addition, the diffusion analysis indicates thatwhereas the citation networks are tree-like in structure, the metabolicnetworks contain many loops... S Bilke,C Peterson - 《Physical Review E Statistical Nonlinear & Soft Matter Physics》 被引量: 263发表: 2001年 Symbolic description of 3-D struc...
We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enh
called topological data analysis (TDA) and non-homogeneous Poisson process (NHPP). TDA broadly means the statistical methods that find structures in data24and includes various methods, e.g., clustering, manifold estimation (learning), ridge estimation, and persistent homology (PH)24. It has been...