Enabling fundamental understanding of Nature with novel binning methods for 2D histograms

Fuente: arXiv
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1. Verfasser: Vaiman, Igor
Format: Preprint
Veröffentlicht: 2026
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author Vaiman, Igor
author_facet Vaiman, Igor
contents 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 solve long-standing problems with common 2D histogram methods: lack of thematic, visual, and conceptual unity with underlying data, and general stagnation in the field. Methods. We develop a new method for plotting 2D histograms with arbitrary bin shapes, including aperiodic tilings and geographic maps. We apply the method to several common plot types from the literature. Results. We find our method performs best across all tasks, solving the problems and propelling the scientific progress forward.
format Preprint
id arxiv_https___arxiv_org_abs_2603_30006
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Enabling fundamental understanding of Nature with novel binning methods for 2D histograms
Vaiman, Igor
Instrumentation and Methods for Astrophysics
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 solve long-standing problems with common 2D histogram methods: lack of thematic, visual, and conceptual unity with underlying data, and general stagnation in the field. Methods. We develop a new method for plotting 2D histograms with arbitrary bin shapes, including aperiodic tilings and geographic maps. We apply the method to several common plot types from the literature. Results. We find our method performs best across all tasks, solving the problems and propelling the scientific progress forward.
title Enabling fundamental understanding of Nature with novel binning methods for 2D histograms
topic Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2603.30006