Euclidean-Lorentzian Dichotomy and Algebraic Causality in Finite Ring Continuum. [PDF]
Akhtman Y.
europepmc +1 more source
Abstract Recent advances in AI enable the automatic generation of visualizations directly from textual prompts using agentic workflows. However, visualizations produced via one‐shot generative methods often suffer from insufficient quality, typically requiring a human in the loop to refine the outputs.
Roxana Bujack +4 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Class Angular Distortion Index for Dimensionality Reduction
Abstract Dimensionality reduction (DR) techniques are often characterized by whether they preserve global, high‐level structures in the data or local, neighborhood structures. This distinction matters in visualization: global methods can obscure clusters while local methods can over‐emphasize them.
Kaviru Gunaratne +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
Scalable Computation of Topological Abstractions for Scalar Data
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 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
Survey on Visualization of Information Diffusion over Networks
Abstract Information Diffusion (ID) describes how a value (e.g., a pathogen, a rumor, a packet) spreads through an underlying “medium” network of elements (e.g., a social or computer network). Understanding the information diffusion process is essential to predicting trends, controlling misinformation, and enhancing decision‐making as well as ...
T. Baumgartl +8 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
Fast Nodal Hessian Computation for Peridynamic Fracture Simulation
A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin +2 more
wiley +1 more source

