Results 101 to 110 of about 707 (188)

Topological Machine Learning for Financial Crisis Detection: Early Warning Signals from Persistent Homology

Computers
We propose a strictly causal early–warning framework for financial crises based on topological signal extraction from multivariate return streams. Sliding windows of daily log–returns are mapped to point clouds, from which Vietoris–Rips persistence ...
Ecaterina Guritanu, Enrico Barbierato, Alice Gatti   +2 more
doaj   +1 more source

Line Graph Vietoris-Rips Persistence Diagram for Topological Graph Representation Learning

J. Mach. Learn. Res.
While message passing graph neural networks result in informative node embeddings, they may suffer from describing the topological properties of graphs. To this end, node filtration has been widely used as an attempt to obtain the topological information of a graph using persistence diagrams.
Jaesun Shin, Eunjoo Jeon, Taewon Cho, Namkyeong Cho, Youngjune Gwon   +4 more
openaire   +3 more sources

Vietoris numbers via fibonomial coefficients and applications

Yüksek Lisans TeziVietoris sayıları, topoloji alanında ortaya çıkan bir sayı dizisi olsa da son yıllarda cebir alanında da Vietoris sayıları ile ilgili bir çok çalışma yapılmaktadır.
Akman, Müzeyyen
core  

Algebraic Topology via Differential Geometry

, 1988
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and
M. Karoubi, C. Leruste
core   +1 more source

A unified spectral-persistent homology framework for stable and generalizable topological deep learning

Discover Computing
Topological Deep Learning (TDL) boosts the capabilities of neural networks by integrating topological features from complex data structures like graphs and simplicial complexes.
Saif Hameed Abbood Alwaeli, Ali A. Abdulsaeed, Shams Jamal Fayyadh, Muhammad I. Khan, Abdallah Yousif, Tanzila Saba, Saeed Ali Bahaj   +6 more
doaj   +1 more source

On cellularity, closure, sobriety and separation axioms in the lower vietoris topology.

Doctoral Degree. University of KwaZulu-Natal, DurbanThis thesis introduces four new classes of hyperspaces with the Lower Vietoris Topology, allowing for a complete study of various properties in these hyperspaces.
Corcos, Shimon Shay.
core  

On (Strong) a-Favorability of the Vietoris Hyperspace [PDF]

, 2013
For a normal space X, a (i.e. the nonempty player) having a winning strategy (resp. winning tactic) in the strong Choquet game Ch(X) played on X is equivalent to a having a winning strategy (resp.
Zsilinszky, Laszlo, NC DOCKS at The University of North Carolina at Pembroke   +1 more
core  

The locally finite topology on 2^{𝑋}

, 1987
Let X X be a metrizable space. A Vietoris-type topology, called the locally finite topology, is defined on the hyperspace 2 X {2^X} of all closed, nonempty subsets of X ...
F. S. Van Vleck, C. J. Himmelberg, G. A. Beer, K. Prikry   +3 more
core   +1 more source

Baire spaces, Tychonoff Powers and the Vietoris topology

, 2005
In this paper, we show that if the Tychonoff power $X^omega$ of a quasi-regular space $X$ is Baire then its Vietoris hyperspace $2^X$ is also Baire.
Cao, Jiling, Tomita, A.H.
core  

Enhancing the Vietoris–Rips simplicial complex for topological data analysis: applications in cancer gene expression datasets

International Journal of Data Science and Analytics
Abstract The aim of this study is to enhance the extraction of informative features from complex data through the application of topological data analysis (TDA) using novel topological overlapping measures. Topological data analysis has emerged as a promising methodology for extracting meaningful insights from complex datasets.
Lebohang Mashatola, Zubayr Kader, Naaziyah Abdulla, Mandeep Kaur   +3 more
openaire   +1 more source