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On the aggregation of compositional data

(2021) INFORMATION FUSION. 73. p.103-110
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Abstract
Compositional data naturally appear in many fields of application. For instance, in chemistry, the relative contributions of different chemical substances to a product are typically described in terms of a compositional data vector. Although the aggregation of compositional data frequently arises in practice, the functions formalizing this process do not fit the standard order-based aggregation framework. This is due to the fact that there is no intuitive order that carries the semantics of the set of compositional data vectors (referred to as the standard simplex). In this paper, we consider the more general betweenness-based aggregation framework that yields a natural definition of an aggregation function for compositional data. The weighted centroid is proved to fit within this definition and discussed to be linked to a very tangible interpretation. Other functions for the aggregation of compositional data are presented and their fit within the proposed definition is discussed.
Keywords
Signal Processing, Hardware and Architecture, Software, Information Systems, Aggregation, Compositional data, Beset, Centroid, STATISTICAL-ANALYSIS, LOCATION

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Please use this url to cite or link to this publication:

MLA
Perez Fernandez, Raul, et al. “On the Aggregation of Compositional Data.” INFORMATION FUSION, vol. 73, 2021, pp. 103–10, doi:10.1016/j.inffus.2021.02.021.
APA
Perez Fernandez, R., Gagolewski, M., & De Baets, B. (2021). On the aggregation of compositional data. INFORMATION FUSION, 73, 103–110. https://doi.org/10.1016/j.inffus.2021.02.021
Chicago author-date
Perez Fernandez, Raul, Marek Gagolewski, and Bernard De Baets. 2021. “On the Aggregation of Compositional Data.” INFORMATION FUSION 73: 103–10. https://doi.org/10.1016/j.inffus.2021.02.021.
Chicago author-date (all authors)
Perez Fernandez, Raul, Marek Gagolewski, and Bernard De Baets. 2021. “On the Aggregation of Compositional Data.” INFORMATION FUSION 73: 103–110. doi:10.1016/j.inffus.2021.02.021.
Vancouver
1.
Perez Fernandez R, Gagolewski M, De Baets B. On the aggregation of compositional data. INFORMATION FUSION. 2021;73:103–10.
IEEE
[1]
R. Perez Fernandez, M. Gagolewski, and B. De Baets, “On the aggregation of compositional data,” INFORMATION FUSION, vol. 73, pp. 103–110, 2021.
@article{8700157,
  abstract     = {{Compositional data naturally appear in many fields of application. For instance, in chemistry, the relative contributions of different chemical substances to a product are typically described in terms of a compositional data vector. Although the aggregation of compositional data frequently arises in practice, the functions formalizing this process do not fit the standard order-based aggregation framework. This is due to the fact that there is no intuitive order that carries the semantics of the set of compositional data vectors (referred to as the standard simplex). In this paper, we consider the more general betweenness-based aggregation framework that yields a natural definition of an aggregation function for compositional data. The weighted centroid is proved to fit within this definition and discussed to be linked to a very tangible interpretation. Other functions for the aggregation of compositional data are presented and their fit within the proposed definition is discussed.}},
  author       = {{Perez Fernandez, Raul and Gagolewski, Marek and De Baets, Bernard}},
  issn         = {{1566-2535}},
  journal      = {{INFORMATION FUSION}},
  keywords     = {{Signal Processing,Hardware and Architecture,Software,Information Systems,Aggregation,Compositional data,Beset,Centroid,STATISTICAL-ANALYSIS,LOCATION}},
  language     = {{eng}},
  pages        = {{103--110}},
  title        = {{On the aggregation of compositional data}},
  url          = {{http://doi.org/10.1016/j.inffus.2021.02.021}},
  volume       = {{73}},
  year         = {{2021}},
}

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