A Note on the Folding Test of Unimodality: limitation and improved alternative
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911680228753408 |
|---|---|
| author | Becquart, Colombe Archimbaud, Aurore Ruiz, Anne M. Smida, Zaineb |
| author_facet | Becquart, Colombe Archimbaud, Aurore Ruiz, Anne M. Smida, Zaineb |
| contents | This note addresses a key limitation of the Folding Test of Unimodality (FTU). In specific univariate mixture settings, the folding-based criterion can systematically fail, misclassifying clearly multimodal distributions as unimodal. We fully characterize these failures for Dirac mixtures and extend the analysis to Gaussian mixtures. We then introduce a double-folding procedure that captures complementary information, leading to a new test, the Double Folding Test of Unimodality. It resolves the FTU failures and improves multimodality detection power in simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13326 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on the Folding Test of Unimodality: limitation and improved alternative Becquart, Colombe Archimbaud, Aurore Ruiz, Anne M. Smida, Zaineb Methodology This note addresses a key limitation of the Folding Test of Unimodality (FTU). In specific univariate mixture settings, the folding-based criterion can systematically fail, misclassifying clearly multimodal distributions as unimodal. We fully characterize these failures for Dirac mixtures and extend the analysis to Gaussian mixtures. We then introduce a double-folding procedure that captures complementary information, leading to a new test, the Double Folding Test of Unimodality. It resolves the FTU failures and improves multimodality detection power in simulations. |
| title | A Note on the Folding Test of Unimodality: limitation and improved alternative |
| topic | Methodology |
| url | https://arxiv.org/abs/2605.13326 |