Results 81 to 90 of about 7,249,127 (302)
In recent years, persistent homology (PH) and topological data analysis (TDA) have gained increasing attention in the fields of shape recognition, image analysis, data analysis, machine learning, computer vision, computational biology, brain functional ...
Peter Tsung-Wen Yen, S. Cheong
semanticscholar +1 more source
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source
Topological Data Analysis in Natural Language Processing -- A Tutorial
Topological Data Analysis (TDA) introduces methods that capture the underlying structure of shapes in data. Within the last two decades, TDA has been mostly examined in unsupervised machine learning tasks.
Wlodek Zadrozny
doaj +1 more source
Persistent topology for cryo‐EM data analysis [PDF]
SummaryIn this work, we introduce persistent homology for the analysis of cryo‐electron microscopy (cryo‐EM) density maps. We identify the topological fingerprint or topological signature of noise, which is widespread in cryo‐EM data. For low signal‐to‐noise ratio (SNR) volumetric data, intrinsic topological features of biomolecular structures are ...
Xia, Kelin, Wei, Guo-Wei
openaire +3 more sources
The results demonstrate a simulation‐driven workflow that applies LSB topology optimization with additive manufacturing constraints to mission‐specific load cases, integrating European Cooperation for Space Standardization compliant verification and manufacturability to develop structurally efficient rover suspension components.
Stelios K. Georgantzinos +11 more
wiley +1 more source
On the Bootstrap for Persistence Diagrams and Landscapes
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 +5 more
doaj +1 more source
A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
wiley +1 more source
Interpretable machine learning for atomic scale magnetic anisotropy in quantum materials
The rising demand for digital storage and environmental concerns necessitate ultra-high-density, energy-efficient solutions. Atomic-scale magnets (ASMs) based on transition metal (TM) dimers on defective graphene exhibit promising magnetic anisotropy ...
Jan Navrátil +3 more
doaj +1 more source
Discerning dynamics in synchrophasor data using topological data analysis
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 +3 more
doaj +1 more source
A topological data analysis based classification method for multiple measurements
Background Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the data topology.
Henri Riihimäki +4 more
doaj +1 more source

