Results 121 to 130 of about 416 (159)

Dynamic topological data analysis: a novel fractal dimension-based testing framework with application to brain signals. [PDF]

Front Neuroinform
El-Yaagoubi AB, Chung MK, Ombao H.
europepmc   +1 more source

Topology Assisted Clustering of Temporal fMRI Brain Networks With Use-Case in Mitigating Non-Neural Multi-Site Variability. [PDF]

IEEE Access
Shovon AR, Kumar S, Deshpande G.
europepmc   +1 more source

Dory: Computation of persistence diagrams up to dimension two for Vietoris-Rips filtrations of large data sets. [PDF]

J Comput Sci
Aggarwal M, Periwal V.
europepmc   +1 more source

The topology of synergy: Linking topological and information-theoretic approaches to higher-order interactions in complex systems. [PDF]

PLoS Comput Biol
Varley TF, Mediano PAM, Patania A, Bongard J.   +3 more
europepmc   +1 more source

Identifying key genes in cancer networks using persistent homology. [PDF]

Sci Rep
Ramos RH, Bardelotte YA, de Oliveira Lage Ferreira C, Simao A.   +3 more
europepmc   +1 more source

Enhancing energy predictions in multi-atom systems with multiscale topological learning.

J Mater Chem A Mater
Chen D, Wang R, Wei GW, Pan F.
europepmc   +1 more source

Coincidence of the upper Vietoris topology and the Scott topology [PDF]

Topology and Its Applications, 2021
For a $T_0$ space $X$, let $\mk (X)$ be the poset of all compact saturated sets of $X$ with the reverse inclusion order. The space $X$ is said to have property Q if for any $K_1, K_2\in \mk (X)$, $K_2\ll K_1$ in $\mk (X)$ if{}f $K_2\subseteq \ii~\!K_1$.
Xiaoquan Xu
exaly   +3 more sources

Continuity of p-variation in the Vietoris topology

Journal of Mathematical Analysis and Applications, 2008
Let \(f:[0,1]\rightarrow \mathbb{R}\) be a real-valued function and \(p>0\). For any nonempty closed subset \(A\) of \([0,1]\), we call \(A\)-family any collection \(\mathcal{T}=\{I_{i}\}\) of non-overlapping subintervals of \([0,1]\) with end-points in \(A\) and we define the \(p\)-variation \(v_{p}(f,A)\) of \(f\) on \(A\) to be the supremum of the ...
Franciszek Prus-Wiśniowski
exaly   +2 more sources

Selection principles of the Fell topology and the Vietoris topology

Topology and Its Applications, 2016
For a noncompact Hausdorff space \(X\), let \(\text{CL} (X)\) be the family of all nonempty closed subsets of \(X\). Let \(\tau _F\) (resp., \(\tau_V\)) denote the Fell (resp., Vietoris) topology on \(\text{CL} (X)\). Motivated by \textit{G. Di Maio} et al. [Topology Appl. 153, No. 5--6, 912--923 (2005; Zbl 1087.54007)], the author investigates several
Zuquan Li
exaly   +2 more sources