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The histogram is widely used as a simple, exploratory display of data, but it is usually not clear how to choose the number and size of bins. We construct a confidence set of distribution functions that optimally address the two main tasks…

Statistics Theory · Mathematics 2020-02-13 Housen Li , Axel Munk , Hannes Sieling , Guenther Walther

Histograms are convenient non-parametric density estimators, which continue to be used ubiquitously. Summary quantities estimated from histogram-based probability density models depend on the choice of the number of bins. We introduce a…

Data Analysis, Statistics and Probability · Physics 2013-09-17 Kevin H. Knuth

Analysts commonly investigate the data distributions derived from statistical aggregations of data that are represented by charts, such as histograms and binned scatterplots, to visualize and analyze a large-scale dataset. Aggregate queries…

Databases · Computer Science 2019-10-14 Honghui Mei , Wei Chen , Yating Wei , Yuanzhe Hu , Shuyue Zhou , Bingru Lin , Ying Zhao , Jiazhi Xia

Data visualizations can reveal trends and patterns that are not otherwise obvious from the raw data or summary statistics. While visualizing low-dimensional data is relatively straightforward (for example, plotting the change in a variable…

Other Statistics · Statistics 2017-01-31 Andrew C. Heusser , Kirsten Ziman , Lucy L. W. Owen , Jeremy R. Manning

Analyzing and working with big data could be very diffi cult using classical means like relational database management systems or desktop software packages for statistics and visualization. Instead, big data requires large clusters with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-09 Bogdan Oancea , Raluca Mariana Dragoescu

Context. Visualization of 2D distributions is an essential task, commonly done with a 2D histogram. The histogram is built by subdividing the sample space into regions and color-coding the number of samples in each region. Aims. We aim to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-02 Igor Vaiman

The past decade has witnessed a dramatic increase in the size and scope of biological and behavioral experiments. These experiments are providing an unprecedented level of detail and depth of data. However, this increase in data presents…

Quantitative Methods · Quantitative Biology 2014-04-03 Samuel V. Scarpino , Ross Gillette , David Crews

Hyperspectral remote sensing is a promising tool for a variety of applications including ecology, geology, analytical chemistry and medical research. This article presents the new \hsdar package for R statistical software, which performs a…

Other Statistics · Statistics 2019-05-28 Lukas W. Lehnert , Hanna Meyer , Wolfgang A. Obermeier , Brenner Silva , Bianca Regeling , Jörg Bendix

Rapidly growing data sizes of scientific simulations pose significant challenges for interactive visualization and analysis techniques. In this work, we propose a compact probabilistic representation to interactively visualize large…

Graphics · Computer Science 2020-10-16 Tobias Rapp , Christoph Peters , Carsten Dachsbacher

The histogram is an analysis tool in widespread use within many sciences, with high energy physics as a prime example. However, there exists an inherent bias in the choice of binning for the histogram, with different choices potentially…

Data Analysis, Statistics and Probability · Physics 2014-05-21 Abram Krislock , Nathan Krislock

Nonlinear dimension reduction methods provide a low-dimensional representation of high-dimensional data by applying a Nonlinear transformation. However, the complexity of the transformations and data structures can create wildly different…

Repeated-measure designs allow comparisons within a group as well as between groups, and are commonly referred to as split-plot designs. While originating in agricultural experiments, they are now widely used in medical research,…

Computation · Statistics 2025-12-22 Paavo Sattler , Nils Hichert

The matrixdist R package provides a comprehensive suite of tools for the statistical analysis of matrix distributions, including phase-type, inhomogeneous phase-type, discrete phase-type, and related multivariate distributions. This paper…

Computation · Statistics 2025-03-11 Martin Bladt , Alaric Mueller , Jorge Yslas

Implicit neural representations (INRs) have emerged as a powerful tool for compressing large-scale volume data. This opens up new possibilities for in situ visualization. However, the efficient application of INRs to distributed data…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Qi Wu , Joseph A. Insley , Victor A. Mateevitsi , Silvio Rizzi , Michael E. Papka , Kwan-Liu Ma

We present an algorithm and package, Redistributor, which forces a collection of scalar samples to follow a desired distribution. When given independent and identically distributed samples of some random variable $S$ and the continuous…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Pavol Harar , Dennis Elbrächter , Monika Dörfler , Kory D. Johnson

The technological advancements of the modern era have enabled the collection of huge amounts of data in science and beyond. Extracting useful information from such massive datasets is an ongoing challenge as traditional data visualization…

Applications · Statistics 2017-01-30 Rebecca L Barter , Bin Yu

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

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

Simulated high-dimensional data is useful for testing, validating, and improving algorithms used in dimension reduction, supervised and unsupervised learning. High-dimensional data is characterized by multiple variables that are dependent…

Modern data collection and analysis pipelines often involve a sophisticated mix of applications written in general purpose and specialized programming languages. Many formats commonly used to import and export data between different…

Computation · Statistics 2016-07-27 Dirk Eddelbuettel , Murray Stokely , Jeroen Ooms
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