Statistical properties of the quantile normalization method for density curve alignment
ABSTRACT: The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003) [4] which has become one of the most popular methods to align density curves in microarray data analysis. We prove consistency of this method which is viewed as a particular c...
- Autores:
-
Gallón Gómez, Santiago Alejandro
Loubes, Jean Michel
Maza, Elie
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2013
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/7347
- Acceso en línea:
- http://hdl.handle.net/10495/7347
- Palabra clave:
- Wasserstein distance
Curve registration
Manifold registration
Microarray data analysis
Normalization
Order statistics
Structural expectation
- Rights
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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| dc.title.spa.fl_str_mv |
Statistical properties of the quantile normalization method for density curve alignment |
| title |
Statistical properties of the quantile normalization method for density curve alignment |
| spellingShingle |
Statistical properties of the quantile normalization method for density curve alignment Wasserstein distance Curve registration Manifold registration Microarray data analysis Normalization Order statistics Structural expectation |
| title_short |
Statistical properties of the quantile normalization method for density curve alignment |
| title_full |
Statistical properties of the quantile normalization method for density curve alignment |
| title_fullStr |
Statistical properties of the quantile normalization method for density curve alignment |
| title_full_unstemmed |
Statistical properties of the quantile normalization method for density curve alignment |
| title_sort |
Statistical properties of the quantile normalization method for density curve alignment |
| dc.creator.fl_str_mv |
Gallón Gómez, Santiago Alejandro Loubes, Jean Michel Maza, Elie |
| dc.contributor.author.none.fl_str_mv |
Gallón Gómez, Santiago Alejandro Loubes, Jean Michel Maza, Elie |
| dc.contributor.researchgroup.spa.fl_str_mv |
Microeconomía Aplicada |
| dc.subject.none.fl_str_mv |
Wasserstein distance Curve registration Manifold registration Microarray data analysis Normalization Order statistics Structural expectation |
| topic |
Wasserstein distance Curve registration Manifold registration Microarray data analysis Normalization Order statistics Structural expectation |
| description |
ABSTRACT: The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003) [4] which has become one of the most popular methods to align density curves in microarray data analysis. We prove consistency of this method which is viewed as a particular case of the structural expectation procedure for curve alignment, which corresponds to a notion of barycenter of measures in the Wasserstein space. Moreover, we show that, this method fails in some case of mixtures, and we propose a new methodology to cope with this issue. |
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2013 |
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2013 |
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2017-05-24T21:59:16Z |
| dc.date.available.none.fl_str_mv |
2017-05-24T21:59:16Z |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Gallón Gómez, S. A., Loubes, J. M. & Maza, E. (2013). Statistical properties of the quantile normalization method for density curve alignment. Mathematical Biosciences, 242(2), 129-142. |
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0025-5564 |
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http://hdl.handle.net/10495/7347 |
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10.1016/j.mbs.2012.12.007 |
| dc.identifier.eissn.none.fl_str_mv |
1879-3134 |
| identifier_str_mv |
Gallón Gómez, S. A., Loubes, J. M. & Maza, E. (2013). Statistical properties of the quantile normalization method for density curve alignment. Mathematical Biosciences, 242(2), 129-142. 0025-5564 10.1016/j.mbs.2012.12.007 1879-3134 |
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http://hdl.handle.net/10495/7347 |
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eng |
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eng |
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142 |
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2 |
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129 |
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242 |
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Mathematical Biosciences |
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http://creativecommons.org/licenses/by-nc-nd/2.5/co/ |
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13 páginas |
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Elsevier |
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Gallón Gómez, Santiago AlejandroLoubes, Jean MichelMaza, ElieMicroeconomía Aplicada2017-05-24T21:59:16Z2017-05-24T21:59:16Z2013Gallón Gómez, S. A., Loubes, J. M. & Maza, E. (2013). Statistical properties of the quantile normalization method for density curve alignment. Mathematical Biosciences, 242(2), 129-142.0025-5564http://hdl.handle.net/10495/734710.1016/j.mbs.2012.12.0071879-3134ABSTRACT: The article investigates the large sample properties of the quantile normalization method by Bolstad et al. (2003) [4] which has become one of the most popular methods to align density curves in microarray data analysis. We prove consistency of this method which is viewed as a particular case of the structural expectation procedure for curve alignment, which corresponds to a notion of barycenter of measures in the Wasserstein space. 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