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Related papers: Extending Scatterplots to Scalar Fields

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Recent approaches to the problem of inferring a continuous probability distribution from a finite set of data have used a scalar field theory for the form of the prior probability distribution. This letter presents a more general form for…

Data Analysis, Statistics and Probability · Physics 2007-05-23 David M. Schmidt

In the parallel processing field, graph embedding is motivated by simulation interconnection networks to another. The quadtree is an important technique used to present spatial data and is used in many application domains, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Aymen Takie Eddine Selmi , Mohamed Faouzi Zerarka , Abdelhakim Cheriet

Machine learning methods based on statistical principles have proven highly successful in dealing with a wide variety of data analysis and analytics tasks. Traditional data models are mostly concerned with independent identically…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Jun Li , Wanrong Hong , Yusheng Xiang

Dimensionality reduction and clustering techniques are frequently used to analyze complex data sets, but their results are often not easy to interpret. We consider how to support users in interpreting apparent cluster structure on scatter…

Machine Learning · Computer Science 2021-11-08 Xander Vankwikelberge , Bo Kang , Edith Heiter , Jefrey Lijffijt

The growing complexity and information content of data, together with the need to understand both the complex structures, relationships, and phenomena present in these data spaces, compounded with the emerging need to understand the results…

Human-Computer Interaction · Computer Science 2026-03-09 Santiago Lombeyda , S. G. Djorgovski , Ciro Donalek

Mapper and Ball Mapper are Topological Data Analysis tools used for exploring high dimensional point clouds and visualizing scalar-valued functions on those point clouds. Inspired by open questions in knot theory, new features are added to…

Algebraic Topology · Mathematics 2023-03-29 Paweł Dłotko , Davide Gurnari , Radmila Sazdanovic

Astronomical researchers often think of analysis and visualization as separate tasks. In the case of high-dimensional data sets, though, interactive exploratory data visualization can give far more insight than an approach where data…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Alyssa A. Goodman

Data visualizations summarize high-dimensional distributions in two or three dimensions. Dimensionality reduction entails a loss of information, and what is preserved differs between methods. Existing methods preserve the local or the…

Computation · Statistics 2021-07-05 Andrew D Zaharia , Anish S Potnis , Alexander Walther , Nikolaus Kriegeskorte

Visualizations support rapid analysis of scientific datasets, allowing viewers to glean aggregate information (e.g., the mean) within split-seconds. While prior research has explored this ability in conventional charts, it is unclear if…

Human-Computer Interaction · Computer Science 2024-06-21 Victor A. Mateevitsi , Michael E. Papka , Khairi Reda

Natural language and visualization are being increasingly deployed together for supporting data analysis in different ways, from multimodal interaction to enriched data summaries and insights. Yet, researchers still lack systematic…

Human-Computer Interaction · Computer Science 2020-09-30 Rafael Henkin , Cagatay Turkay

Jupyter Scatter is a scalable, interactive, and interlinked scatterplot widget for exploring datasets in Jupyter Notebook/Lab, Colab, and VS Code. Its goal is to simplify the visual exploration, analysis, and comparison of large-scale…

Human-Computer Interaction · Computer Science 2024-06-24 Fritz Lekschas , Trevor Manz

Gaussian Splatting has recently emerged as the go-to representation for reconstructing and rendering 3D scenes. The transition from 3D to 2D Gaussian primitives has further improved multi-view consistency and surface reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Sebastian Weiss , Derek Bradley

Two-dimensional array-based datasets are pervasive in a variety of domains. Current approaches for generative modeling have typically been limited to conventional image datasets and performed in the pixel domain which do not explicitly…

Machine Learning · Computer Science 2021-07-12 Hoda Shajari , Jaemoon Lee , Sanjay Ranka , Anand Rangarajan

The visualization of multi-dimensional data with interpretable methods remains limited by capabilities for both high-dimensional lossless visualizations that do not suffer from occlusion and that are computationally capable by parameterized…

Human-Computer Interaction · Computer Science 2025-07-25 Alice Williams , Boris Kovalerchuk

Analyzing high-dimensional data and finding hidden patterns is a difficult problem and has attracted numerous research efforts. Automated methods can be useful to some extent but bringing the data analyst into the loop via interactive…

Human-Computer Interaction · Computer Science 2017-12-04 Bing Wang , Klaus Mueller

The manifold scattering transform is a deep feature extractor for data defined on a Riemannian manifold. It is one of the first examples of extending convolutional neural network-like operators to general manifolds. The initial work on this…

We introduce a hierarchy of integrable PDEs in 2+1 dimensions arising from the commutation of 2-dimensional vector fields. We also solve the associated Cauchy problems, using the recently developed Inverse Scattering Transform for…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 S. V. Manakov , P. M. Santini

Most research data collections created or used by astronomers are intrinsically multi-dimensional. In contrast, all visual representations of data presented within research papers are exclusively 2-dimensional. We present a resolution of…

Astrophysics · Physics 2008-11-26 David G. Barnes , Christopher J. Fluke

Data augmentation has proven its usefulness to improve model generalization and performance. While it is commonly applied in computer vision application when it comes to multi-view systems, it is rarely used. Indeed geometric data…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Martin Engilberge , Haixin Shi , Zhiye Wang , Pascal Fua

Multidimensional unfolding methods are widely used for visualizing item response data. Such methods project respondents and items simultaneously onto a low-dimensional Euclidian space, in which respondents and items are represented by ideal…

Methodology · Statistics 2020-09-04 Yunxiao Chen , Zhiliang Ying , Haoran Zhang