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Big Data involves both a large number of events but also many variables. This paper will concentrate on the challenge presented by the large number of variables in a Big Dataset. It will start with a brief review of exploratory data…

Applications · Statistics 2019-07-24 S. J. Watts , L. Crow

Information visualization is essential in making sense out of large data sets. Often, high-dimensional data are visualized as a collection of points in 2-dimensional space through dimensionality reduction techniques. However, these…

Computational Geometry · Computer Science 2009-07-16 Emden R. Gansner , Yifan Hu , Stephen G. Kobourov

Hilbert's two-dimensional space-filling curve is appreciated for its good locality-preserving properties and easy implementation for many applications. However, Hilbert did not describe how to generalize his construction to higher…

Computational Geometry · Computer Science 2017-11-10 Herman Haverkort

Time series is a collection of data instances that are ordered according to a time stamp. Stock prices, temperature, etc are examples of time series data in real life. Time series data are used for forecasting sales, predicting trends.…

Human-Computer Interaction · Computer Science 2024-04-25 Sathya Krishnan Suresh , Shunmugapriya P

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

With the rise of the open data movement a lot of statistical data has been made publicly available by governments, statistical offices and other organizations. First efforts to visualize are made by the data providers themselves. Data…

Human-Computer Interaction · Computer Science 2011-10-17 Daniel Hienert , Benjamin Zapilko , Philipp Schaer , Brigitte Mathiak

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

Physics and Society · Physics 2013-06-06 Vassilis Kostakos

Space-filling curves like the Hilbert-curve, Peano-curve and Z-order map natural or real numbers from a two or higher dimensional space to a one dimensional space preserving locality. They have numerous applications like search structures,…

Machine Learning · Computer Science 2020-08-05 Christian Böhm

We present results from a preregistered and crowdsourced user study where we asked members of the general population to determine whether two samples represented using different forms of data visualizations are drawn from the same or…

Human-Computer Interaction · Computer Science 2023-09-25 Eric Newburger , Niklas Elmqvist

Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

Graphics · Computer Science 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

We describe Hilbert's spacefilling curve in several different ways: as an automatic sequence of directions,as a regular and synchronized sequence of coordinates of lattice points encountered, and as an automatic bitmap image.

Formal Languages and Automata Theory · Computer Science 2021-06-03 Jeffrey Shallit

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

Variable importance, interaction measures, and partial dependence plots are important summaries in the interpretation of statistical and machine learning models. In this paper we describe new visualization techniques for exploring these…

Computation · Statistics 2021-10-12 Alan Inglis , Andrew Parnell , Catherine Hurley

Data Visualization has become an important aspect of big data analytics and has grown in sophistication and variety. We specifically identify the need for an analytical framework for data visualization with textual information. Data…

Social and Information Networks · Computer Science 2020-05-19 Cherilyn Conner , Jim Samuel , Andrey Kretinin , Yana Samuel , Lee Nadeau

Complex systems are described with high-dimensional data that is hard to visualise. Inselberg's parallel coordinates are one representation technique for visualising high-dimensional data. Here we generalise Inselberg's approach, and use it…

Data Analysis, Statistics and Probability · Physics 2019-05-22 Susan Stepney

We prove a functional identity between the Hilbert metric and the visual angle metric in the unit disk. The proof utilizes the Poincar\'e hyperbolic metric in terms of which both metrics can be expressed. This identity then yields sharp…

Complex Variables · Mathematics 2025-02-26 Sahsene Altinkaya , Masayo Fujimura , Matti Vuorinen

Hilbert's two-dimensional space-filling curve is appreciated for its good locality properties for many applications. However, it is not clear what is the best way to generalize this curve to filling higher-dimensional spaces. We argue that…

Computational Geometry · Computer Science 2016-10-05 Herman Haverkort

Deep neural networks are a family of computational models that have led to a dramatical improvement of the state of the art in several domains such as image, voice or text analysis. These methods provide a framework to model complex,…

Machine Learning · Statistics 2018-02-12 Louis Falissard , Guy Fagherazzi , Newton Howard , Bruno Falissard

The motivation of this work is two-fold - a) to compare between two different modes of visualizing data that exists in a bag of vectors format b) to propose a theoretical model that supports a new mode of visualizing data. Visualizing high…

Information Retrieval · Computer Science 2013-10-15 Sriramkumar Balasubramanian , Raghuram Reddy Nagireddy

Visualizations such as bar charts, scatter plots, and objects on geographical maps often convey critical information, including exact and relative numeric values, using shapes. The choice of shape and method of encoding information is often…

Human-Computer Interaction · Computer Science 2022-11-14 Harsh Patel , Nicole Schneider , Hanan Samet
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