Results 51 to 60 of about 176,620,809 (179)

Quantitative Metrics for Edge Bundling of Network Visualizations

Computer Graphics Forum, EarlyView.
Abstract Edge bundling is widely used for reducing visual clutter in large 2D network and trajectory visualizations. Various edge bundling methods have been proposed, each producing qualitatively distinct outputs for the same data; however, few quantitative metrics exist for systematic evaluation. In this paper, we propose a set of quantitative metrics
M. Wallinger, J. Miller, A. Maftei, S. G. Kobourov   +3 more
wiley   +1 more source

A global theory of algebras of generalized functions II: tensor distributions

, 2012
We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of tensor distributions in the sense of L. Schwartz.
Steinbauer, Roland, Vickers, James, Grosser, Michael, Kunzinger, Michael   +3 more
core   +1 more source

Algebraic computation of short exact sequence and topological invariants using K-theory in general ring of classification spaces

Partial Differential Equations in Applied Mathematics
The objective of this study is to calculate the K-Cohomology invariants of certain classification spaces of homotopy groups in short exact sequences, where the computation is done using properties of the K-theoretical features. For these packages we use various applications including K-theory Algebra, which transformed the theory of operator algebra ...
openaire   +2 more sources

Pointvalue characterizations in multi-parameter algebras [PDF]

We extend classical results from the Colombeau algebra, concerning point-value characterizations of generalized functions, to the more general case of multi-parameter (C,E,P)–algebras. Our investigations include considerations about different definitions
Jean-André Marti, Maximilian Hasler
core  

The Truth, the Whole Truth, and Nothing but the Truth: Automatic Visualization Evaluation from Reconstruction Quality

Computer Graphics Forum, EarlyView.
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, Li‐Ta Lo, Ethan Stam, Ayan Biswas, David Rogers   +4 more
wiley   +1 more source

Topological BPS charges in 10- and 11-dimensional supergravity [PDF]

, 2010
In this thesis we construct closed expressions that correspond to the topological charges of the various BPS branes of the IIA, IIB and $D=11$ supergravity theories. These expressions are related to the structure of the SUSY algebras in curved spacetimes.
Callister, Andrew Keith, CALLISTER, ANDREW,KEITH   +1 more
core  

Scalable Computation of Topological Abstractions for Scalar Data

Computer Graphics Forum, EarlyView.
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, J. Lukasczyk, J. Tierny, A. Gyulassy, G. H. Weber, H. Carr, C. Garth   +6 more
wiley   +1 more source

Kothe spaces and topological algebra with bases

, 1990
Nuclear Kothe sequence space λ(P) its crossdual λ(P) xand their non-nuclear variants are examined as topological algebras. Modelling on them, a general theory of nuclear topological algebras with orthogonal basis is developed.
Deheri, G. M., Bhatt, Subhash J.
core   +1 more source

Topics in algebraic and topological K-theory [PDF]

, 2011
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and ...
Cortiñas, Guillermo, Ralf Meyer, Toën, Bertrand, Rubén Sánchez-García, Sánchez García, Rubén, Marco Schlichting, Bertrand Toën, Sánchez-García, Rubén, Cortiñas, Guillermo Horacio, Paul Frank Baum, Schlichting, Marco, Meyer, Ralf, Guillermo Cortiñas, Baum, Paul Frank   +13 more
core   +1 more source

Survey on Visualization of Information Diffusion over Networks

Computer Graphics Forum, EarlyView.
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, M. Sondag, V. Filipov, M. Tuscher, S. Rajendran, S. Miksch, D. Archambault, A. Arleo, T. von Landesberger   +8 more
wiley   +1 more source