Results 61 to 70 of about 136,965 (253)

Discerning dynamics in synchrophasor data using topological data analysis

International Journal of Electrical Power & Energy Systems
This paper explores the application of topological data analysis (TDA) for capturing relevant dynamic behavior (modes) in ambient synchrophasor data. In frequency domain, dominant dynamics correspond to prominent spectral peaks, which persist under a ...
Chetan Mishra, Luigi Vanfretti, Jaime Delaree, Jr., Kevin D. Jones   +3 more
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Persistent Topological Laplacians—A Survey

Mathematics
Persistent topological Laplacians constitute a new class of tools in topological data analysis (TDA). They are motivated by the necessity to address challenges encountered in persistent homology when handling complex data.
Xiaoqi Wei, Guo-Wei Wei
doaj   +1 more source

On the Bootstrap for Persistence Diagrams and Landscapes

Моделирование и анализ информационных систем, 2013
Persistent homology probes topological properties from point clouds and functions. By looking at multiple scales simultaneously, one can record the births and deaths of topological features as the scale varies.
F. Chazal, B.T. Fasy, F. Lecci, A. Rinaldo, A. Singh, L. Wasserman   +5 more
doaj   +1 more source

Persistent interaction topology in data analysis

Foundations of Data Science
Topological data analysis, as a tool for extracting topological features and characterizing geometric shapes, has experienced significant development across diverse fields. Its key mathematical techniques include persistent homology and the recently developed persistent Laplacians.
Liu, Jian, Chen, Dong, Wei, Guo-Wei
openaire   +3 more sources

Topological Data Analysis Made Easy with the Topology ToolKit

CoRR, 2018
This tutorial presents topological methods for the analysis and visualization of scientific data from a user's perspective, with the Topology ToolKit (TTK), a recently released open-source library for topological data analysis. Topological methods have gained considerably in popularity and maturity over the last twenty years and success stories of ...
Favelier, Guillaume, Gueunet, Charles, Gyulassy, Attila, Kitware, Julien, Levine, Joshua, Lukasczyk, Jonas, Sakurai, Daisuke, Soler, Maxime, Tierny, Julien, Usher, Will, Wu, Qi   +10 more
openaire   +3 more sources

Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading

Advanced Engineering Materials, EarlyView.
This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev, Noah‐Lean Roschlaub, Anne Jung   +2 more
wiley   +1 more source

DigiChrom: A Domain Ontology for Semantic Representation of Trivalent Chromium Platings and Its Large Language Model‐Based Alignment With Multiple Mid‐Level Ontologies

Advanced Engineering Materials, EarlyView.
Digitalizing electroplating requires both domain knowledge and interoperability. This work introduces PlatOn, a domain ontology for trivalent chromium plating and coating characterization, and a hybrid pipeline that aligns it to a mid‐level reference ontology by combining eight similarity metrics with language model reasoning. Expert‐validated mappings
Janik Harter, Elena Garcia Trelles, Christoph Schweizer, Thomas Seifert, Christoph Baumer, Mahmoud Elkady, Katja Feige, Daniel Grimme, Edgar Hoffmann, Andreas Waibel, Anke Walter   +10 more
wiley   +1 more source

Topological Data Analysis [PDF]

Bulletin of Mathematical Biology, 2019
Reinhard, Laubenbacher, Alan, Hastings
openaire   +3 more sources

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

IEEE Access
Using temporal analysis of fMRI (functional Magnetic Resonance Imaging) data, we can characterize dynamic changes in brain connectivity over time. However, dynamic temporal analysis of fMRI data is challenging due to the high dimensionality of the ...
Ahmedur Rahman Shovon, Sidharth Kumar, Gopikrishna Deshpande   +2 more
doaj   +1 more source