Results 41 to 50 of about 7,249,127 (302)
Topological data analysis reveals genotype–phenotype relationships in primary ciliary dyskinesia
European Respiratory Journal, 2021 Background Primary ciliary dyskinesia (PCD) is a heterogeneous inherited disorder caused by mutations in approximately 50 cilia-related genes. PCD genotype–phenotype relationships have mostly arisen from small case series because existing statistical ...
A. Shoemark +29 more
semanticscholar +1 more source
Quantum algorithm for persistent Betti numbers and topological data analysis [PDF]
Quantum, 2021 Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if we want to learn from high-dimensional topological features ...
Ryuuichirou Hayakawa*
semanticscholar +1 more source
Topological data analysis of zebrafish patterns [PDF]
Proceedings of the National Academy of Sciences, 2020 Self-organized pattern behavior is ubiquitous throughout nature, from fish schooling to collective cell dynamics during organism development. Qualitatively these patterns display impressive consistency, yet variability inevitably exists within pattern-forming systems on both microscopic and macroscopic scales.
Melissa R. McGuirl +2 more
openaire +4 more sources
Separating Topological Noise from Features Using Persistent Entropy [PDF]
, 2016 Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology a new set of algorithms have been derived.
Atienza Martínez, María Nieves +2 more
core +1 more source
Topological Data Analysis for Speech Processing [PDF]
Interspeech, 2022 We apply topological data analysis (TDA) to speech classification problems and to the introspection of a pretrained speech model, HuBERT. To this end, we introduce a number of topological and algebraic features derived from Transformer attention maps and
Eduard Tulchinskii +7 more
semanticscholar +1 more source
Frontiers in Virtual Reality, 2022 Recent significant progress in Virtual Reality (VR) applications and environments raised several challenges. They proved to have side effects on specific users, thus reducing the usability of the VR technology in some critical domains, such as flight and
Azadeh Hadadi +5 more
semanticscholar +1 more source
Nature Communications, 2022 The blood and lymphatic vasculature networks are not yet fully understood even in mouse because of the inherent limitations of imaging systems and quantification methods.
Kei Takahashi +12 more
semanticscholar +1 more source
Topological data analysis of biological aggregation models. [PDF]
PLoS ONE, 2015 We apply tools from topological data analysis to two mathematical models inspired by biological aggregations such as bird flocks, fish schools, and insect swarms.
Chad M Topaz +2 more
doaj +1 more source
Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom [PDF]
, 2007 When a low dimensional chaotic attractor is embedded in a three dimensional space its topological properties are embedding-dependent. We show that there are just three topological properties that depend on the embedding: parity, global torsion, and knot ...
Gilmore, Robert +2 more
core +1 more source
Persistence codebooks for topological data analysis [PDF]
Artificial Intelligence Review, 2020 AbstractPersistent homology is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs) which are 2D multisets of points. Their variable size makes them, however, difficult to combine with typical machine learning workflows.
Bartosz Zieliński +4 more
openaire +3 more sources