Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Abstract Long‐duration spaceflight represents an extreme challenge, triggering adaptive responses including spaceflight‐associated neuro‐ocular syndrome, characterized by diminished visual acuity and ocular changes, which is a significant health risk for Mars missions.
Ge Tang +19 more
wiley +1 more source
Evaluating Pancreatic Cancer Treatment Strategies Using a Novel Polytopic Fuzzy Tensor Approach. [PDF]
Bilal M +3 more
europepmc +1 more source
Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti +2 more
wiley +1 more source
Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]
Tang JG, Lei HR, Liu M, Peng JY.
europepmc +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Routing Functions for Parameter Space Decomposition to Describe Stability Landscapes of Ecological Models. [PDF]
Cummings J +3 more
europepmc +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Computational Modelling of a Prestressed Tensegrity Core in a Sandwich Panel. [PDF]
Pełczyński J, Martyniuk-Sienkiewicz K.
europepmc +1 more source
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
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

