Geometric measures of data depth
Abstract
info:eu-repo/semantics/published
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Exact computation of the Tukey halfspace median is NP-hard for d ≥ 3.
“whose exact computation is NP-hard for d ≥ 3 (Johnson and Preparata, 1978;Aloupis, 2006)”
From RoPoLL: Robust Panel of LLM Judges (2026) · cites this paper as Aloupis, 2006
Cited by
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RoPoLL: Robust Panel of LLM Judges
Acharya, A., Pan, K. W., & Verkhovsky, B. (2026) · arXiv · doi:10.48550/arxiv.2606.30931
- Authors
- Aloupis, G.
- Corresponding author
- Aloupis, Greg
- Venue
- DIMACS Series in Discrete Mathematics and Theoretical Computer Science
- Publisher
- American Mathematical Society
- Published
- 2006-11-21
- Pages
- 147-158
- ISSN
- 1052-1798 (ISSN-L)
- 2472-4793
- OpenAlex
- W2579687430
- Cited by
- 50
- References
- 0
- Citations by year
- 2024: 2 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 1 · 2019: 2 · 2018: 4 · 2017: 2 · 2016: 5 · 2015: 2 · 2014: 1 · 2013: 5 · 2012: 2
- FWCI
- 7.18
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- DIMACS series in discrete mathematics and theoretical computer science (publishedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › Computational Geometry and Mesh Generation
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Complexity and Algorithms in Graphs
- Physical Sciences › Mathematics › Applied Mathematics › Point processes and geometric inequalities
- Keywords
- data depth, multivariate data, depth functions, outlier detection
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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