Modality Analysis via Spacing with the Dimodal Software Libraries

[2607.06722] Modality Analysis via Spacing with the Dimodal Software Libraries Skip to main content Search Submit Donate Log in Statistics > Methodology arXiv:2607.06722 (stat) [Submitted on 7 Jul 2026 ( v1 ), last revised 21 Aug 2026 (this version, v2)] Title: Modality Analysis via Spacing with the Dimodal Software Libraries Authors: Greg Kreider View PDF HTML (experimental) Abstract: Spacing, the difference between consecutive order statistics, has two features that reflect the modality of the data. Consistent, stable values occur around modes while local increases mark the transitions between them. These features not only signal multi-modality, they also locate modes and anti-modes. Dimodal is an R package for detecting and evaluating these situations. It includes parametric feature models and bootstrap tests for spacing smoothed by low-pass filtering, non-parametric runs and permutation tests for the interval spacing, and a fusion of changepoints in the raw spacing. We introduce the analysis, describe the package, its implementation and performance, and apply it to identifying Kirkwood gaps in the asteroid belt. We also present ports of the software, with DimodalCPy a command-line program written in C with a Python interface. Comments: The ancialliary directory contains an R script for generating the figures and tables for the paper ; v1 - added arXiv numbers to references Subjects: Methodology (stat.ME) ; Earth and Planetary Astrophysics (astro-ph.EP); Instrumentation and Methods for Astrophysics (astro-ph.IM) Cite as: arXiv:2607.06722 [stat.ME] (or arXiv:2607.06722v2 [stat.ME] for this version) https://doi.org/10.48550/arXiv.2607.06722 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Greg Kreider [ view email ] [v1] Tue, 7 Jul 2026 18:41:23 UTC (323 KB) [v2] Fri, 21 Aug 2026 18:19:46 UTC (323 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Ancillary-file links: Ancillary files ( details ) : MANIFEST code_Dimodal.R Current browse context: stat.ME < prev | next > new | recent | 2026-07 Change to browse by: astro-ph astro-ph.EP astro-ph.IM stat References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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