Results 61 to 70 of about 54,259 (246)
One-Dimensional Reduction of Multidimensional Persistent Homology [PDF]
, 2008 A recent result on size functions is extended to higher homology modules: the persistent homology based on a multidimensional measuring function is reduced to a 1-dimensional one. This leads to a stable distance for multidimensional persistent homology.
Cagliari, Francesca +2 more
core +1 more source
Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
wiley +1 more source
Kunneth formuale in persistent homology
, 2019 The classical Kunneth formula in homological algebra provides a link between the homology of a product space and that of its factors. We will show in this talk a collection of similar results for persistent homology.
Perea, José
core
Advanced Engineering Materials, EarlyView.A distinct semi‐confined inner‐tube chemical vapor deposition geometry enables reproducible, large‐area growth of phase‐pure 2D β′‐In2Se3 from InI + Se precursors. Engineering local vapor transport and optimizing precursor delivery and temperature–time conditions yield uniform continuous films.
Dasun P. W. Guruge +8 more
wiley +1 more source
Persistent Homology: Introduction and examples
, 2023 This talk served as an introduction to the subject of persistent homology. Throughout, the talk several examples of the use of persistent homology are given and particular emphasis is placed on the paper Clique topology reveals intrinsic geometric ...
Thomas Maullin-Sapey (14346168)
core +1 more source
Advanced Functional Materials, EarlyView.A biomimetic hydrogel derived from neonatal spinal cord ECM (DNSCM) delivers LAMB2 protein and ISP peptide to remodel the inhibitory injury microenvironment. The system sustains drug release, upregulates pro‐regenerative LAMB2, downregulates inhibitory CSPG, and promotes axonal regeneration.
Shiyu Fu +8 more
wiley +1 more source
, 2019 A fundamental tool in topological data analysis is persistent homology, which allows extraction of information from complex datasets in a robust way. Persistent homology assigns a module over a principal ideal domain to a one-parameter family of spaces ...
Schenck, Hal
core
A review of some properties of persistent homology
, 2023 Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data.
Ullah, Md. Safik +5 more
core +1 more source
Advanced Materials, EarlyView.This review summarizes the principles and challenges of nonaqueous lithium‐oxygen batteries and recent advances in cathode catalysts, including carbon‐based materials, metals, oxides, sulfides, nitrides, carbides, and redox mediators. It highlights emerging design strategies and artificial intelligence‐driven approaches, emphasizing data‐assisted ...
Yuqing Yao +8 more
wiley +1 more source
Persistent Homology -- a Survey
, 2008 Persistent homology is an algebraic tool for measuring topological features of shapes and functions. It casts the multi-scale organization we frequently observe in nature into a mathematical formalism.
Herbert Edelsbrunner, John Harer
core +1 more source