Results 41 to 50 of about 127,173 (169)
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
Applied AI Letters, Volume 7, Issue 2, June 2026.This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet +7 more
wiley +1 more source
On several varieties of cacti and their relations
, 2005 Motivated by string topology and the arc operad, we introduce the notion of quasi-operads and consider four (quasi)-operads which are different varieties of the operad of cacti.
Kassel, Penner, Ralph M Kaufmann
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Networks, Volume 87, Issue 4, Page 343-371, June 2026.ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
wiley +1 more source
Text Mining in Bibliometrics and Science Mapping: A Methodological Review
WIREs Computational Statistics, Volume 18, Issue 2, June 2026.Text mining has become a foundational component of contemporary bibliometrics and science mapping, enabling systematic analysis of the semantic structure, thematic evolution, and cognitive organization of scientific fields. Integrating textual evidence with relational indicators enriches knowledge maps and supports more comprehensive, content‐sensitive
Michelangelo Misuraca
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, 2003 Crystallography has proven a rich source of ideas over several centuries. Among the many ways of looking at space groups, N. David Mermin has pioneered the Fourier-space approach.
Fisher, Benji N. +2 more
core
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6492-6506, 15 May 2026.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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Hydrological Processes, Volume 40, Issue 5, May 2026.A coupled hydrologic and hydraulic modelling framework relying on representative hillslope models and scaled using hydraulic routing schemes is proposed to simulate Hortonian overland flow at intermediate scales. Using a reconstructed historic summer storm in southwest Germany (1994), we show how hillslope scale nature‐based flood prevention measures ...
Ashish Manoj J. +4 more
wiley +1 more source