Results 41 to 50 of about 953 (180)
Actions of Polish Groups and Classification Problems [PDF]
, 2003 We will discuss in this paper some aspects of a general program whose goal is the development of the theory of definable actions of Polish groups, the structure and classification of their orbit spaces, and the closely related study of definable ...
Kechris, Alexander S.
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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 +3 more
wiley +1 more source
Class Angular Distortion Index for Dimensionality Reduction
Computer Graphics Forum, EarlyView.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
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 +6 more
wiley +1 more source
Aspectos geométricos y topológicos de estados quasi-libres en álgebras autoduales
, 2022 We focus on physical and mathematical results about equilibrium states of gapped and gapless Hamiltonians of lattice fermion and lattice spin systems.
Sequera Marín, Ling Alfonso
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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 +8 more
wiley +1 more source
Skein theory of planar algebras and some applications
, 2017 Modern subfactor theory was initiated by Jones by proving the significant result, Jones' index theorem. Later, Jones gave the topological axiomatization of the standard invariant of subfactors. This topological perspective suggests us to study subfactors
Ren, Yunxiang
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Generalized semidirect sums of Lie algebras and their modules
summary:Generalized semidirect sums of Lie algebras and their modules are introduced, which are not necessarily (non)-Abelian extensions and may be applied to construct Lie algebras from modules.
Lu, Rui, Tan, Youjun
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A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
Dimension type conditions in dynamics and C*-algebras
, 2018 In this talk I discuss higher dimensional versions of topological Rokhlin lemmas in a noncommutative context. I also describe the use of such lemmas in the structure and classification theory of simple amenable C*-algebras. Finally, I describe how to use
Winter, Wilhelm
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