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We present a light and fast, public available, ray-tracer {\tt Splotch} software tool which supports the effective visualization of cosmological simulations data. We describe the algorithm it relies on, which is designed in order to deal…

Astrophysics · Physics 2008-12-18 K. Dolag , M. Reinecke , C. Gheller , S. Imboden

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

Machine Learning · Computer Science 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Representation alignment refers to the degree to which different…

Computational Geometry · Computer Science 2026-05-26 Xinyuan Yan , Rita Sevastjanova , Mennatallah El-Assady , Bei Wang

Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this paper, we propose a new class of Project Entangled Pair State (PEPS) that incorporates two isometric conditions. This new…

Quantum Physics · Physics 2025-01-14 Xie-Hang Yu , J. Ignacio Cirac , Pavel Kos , Georgios Styliaris

We examine visual representations of data that make use of combinations of both 2D and 3D data mappings. Combining 2D and 3D representations is a common technique that allows viewers to understand multiple facets of the data with which they…

Human-Computer Interaction · Computer Science 2024-04-25 Jiayi Hong , Rostyslav Hnatyshyn , Ebrar A. D. Santos , Ross Maciejewski , Tobias Isenberg

This paper develops a spatiotemporal model for the visualization of dynamic topologies of hybrid spaces. The visualization of spatiotemporal data is a well-known problem, for example in digital twins in urban planning. There is also a lack…

Computers and Society · Computer Science 2024-03-11 Wolfgang Höhl

This paper considers the problem of low-dimensional visualisation of very high dimensional information sources for the purpose of situation awareness in the maritime environment. In response to the requirement for human decision support…

Computational Engineering, Finance, and Science · Computer Science 2014-02-27 Iain Rice , Roger Benton , Les Hart , David Lowe

The efficiency of modern computer graphics allows us to explore collections of space curves simultaneously with "drag-to-rotate" interfaces. This inspires us to replace "scatterplots of points" with "scatterplots of curves" to…

Human-Computer Interaction · Computer Science 2022-03-11 Nate Strawn

Data visualization is important in understanding the characteristics of data that are difficult to see directly. It is used to visualize loss landscapes and optimization trajectories to analyze optimization performance. Popular optimization…

Quantum Physics · Physics 2023-12-04 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

Data analysis in high-dimensional spaces aims at obtaining a synthetic description of a data set, revealing its main structure and its salient features. We here introduce an approach providing this description in the form of a topography of…

Machine Learning · Statistics 2021-03-02 Maria d'Errico , Elena Facco , Alessandro Laio , Alex Rodriguez

We evaluate several augmentations to the choropleth map to convey additional information, including glyphs, 3D, cartograms, juxtaposed maps, and shading methods. While choropleth maps are a common method used to represent societal data,…

Human-Computer Interaction · Computer Science 2020-05-04 Lonni Besançon , Matthew Cooper , Anders Ynnerman , Frédéric Vernier

Despite the popularisation of machine learning models, more often than not, they still operate as black boxes with no insight into what is happening inside the model. There exist a few methods that allow to visualise and explain why a model…

Machine Learning · Computer Science 2021-06-18 Błażej Leporowski , Alexandros Iosifidis

Boxplots and related visualization methods are widely used exploratory tools for taking a first look at collections of univariate variables. In this note an extension is provided that is specifically designed to detect and display…

Methodology · Statistics 2026-05-05 Camille M. Montalcini , Peter J. Rousseeuw

Linear-optical systems can implement photonic quantum walks that simulate systems with nontrivial topological properties. Here, such photonic walks are used to jointly entangle polarization and winding number. This joint entanglement allows…

Quantum Physics · Physics 2018-10-05 David S. Simon , Shuto Osawa , Alexander V. Sergienko

A method to visualize polytopes in a four dimensional euclidian space $(x,y,z,w)$ is proposed. A polytope is sliced by multiple hyperplanes that are parallel each other and separated by uniform intervals. Since the hyperplanes are…

Graphics · Computer Science 2016-07-06 Akira Kageyama

The overdraw problem of scatterplots seriously interferes with the visual tasks. Existing methods, such as data sampling, node dispersion, subspace mapping, and visual abstraction, cannot guarantee the correspondence and consistency between…

Graphics · Computer Science 2022-08-23 Zeyu Li , Ruizhi Shi , Yan Liu , Shizhuo Long , Ziheng Guo , Shichao Jia , Jiawan Zhang

Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the…

Methodology · Statistics 2013-02-21 Michael Friendly , Georges Monette , John Fox

The aim of this paper is to develop an approach to visualizations that benefits from distributed computing. Three schemes of process distribution are considered: parallel, pipeline, and expanding pipeline computations. Expanding pipeline…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Mark Burgin , Walter Karplus , Damon Liu

The scientific community is presently witnessing an unprecedented growth in the quality and quantity of data sets coming from simulations and real-world experiments. To access effectively and extract the scientific content of such…

Instrumentation and Methods for Astrophysics · Physics 2010-04-09 Zhefan Jin , Mel Krokos , Marzia Rivi , Claudio Gheller , Klaus Dolag , Martin Reinecke

Conventional visualization tools such as phase diagrams and convex hulls are ill-suited to visualize multiple principal element alloys (MPEAs) due to their large compositional space that cannot be easily projected onto two dimensions. Here,…

Materials Science · Physics 2025-07-17 John Cavin , Pravan Omprakash , Adrien Couet , Rohan Mishra