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Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

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Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis. / Blocher, Hannah; Schollmeyer, Georg; Jansen, Christoph.
Information Processing and Management of Uncertainty in Knowledge-Based Systems. ed. / Davide Ciucci; Inés Couso; Jesús Medina; Dominik Ślęzak; Davide Petturiti; Bernadette Bouchon-Meunier; Ronald R. Yager. Cham: Springer, 2022. (Communications in Computer and Information Sciences; Vol. 1602).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Harvard

Blocher, H, Schollmeyer, G & Jansen, C 2022, Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis. in D Ciucci, I Couso, J Medina, D Ślęzak, D Petturiti, B Bouchon-Meunier & RR Yager (eds), Information Processing and Management of Uncertainty in Knowledge-Based Systems. Communications in Computer and Information Sciences, vol. 1602, Springer, Cham. https://doi.org/10.1007/978-3-031-08974-9_2

APA

Blocher, H., Schollmeyer, G., & Jansen, C. (2022). Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis. In D. Ciucci, I. Couso, J. Medina, D. Ślęzak, D. Petturiti, B. Bouchon-Meunier, & R. R. Yager (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems (Communications in Computer and Information Sciences; Vol. 1602). Springer. https://doi.org/10.1007/978-3-031-08974-9_2

Vancouver

Blocher H, Schollmeyer G, Jansen C. Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis. In Ciucci D, Couso I, Medina J, Ślęzak D, Petturiti D, Bouchon-Meunier B, Yager RR, editors, Information Processing and Management of Uncertainty in Knowledge-Based Systems. Cham: Springer. 2022. (Communications in Computer and Information Sciences). doi: 10.1007/978-3-031-08974-9_2

Author

Blocher, Hannah ; Schollmeyer, Georg ; Jansen, Christoph. / Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis. Information Processing and Management of Uncertainty in Knowledge-Based Systems. editor / Davide Ciucci ; Inés Couso ; Jesús Medina ; Dominik Ślęzak ; Davide Petturiti ; Bernadette Bouchon-Meunier ; Ronald R. Yager. Cham : Springer, 2022. (Communications in Computer and Information Sciences).

Bibtex

@inproceedings{9cb214ccaa5f461396df657e86ee642e,
title = "Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis",
abstract = "In this paper, we develop statistical models for partial orders where the partially ordered character cannot be interpreted as stemming from the non-observation of data. After discussing some shortcomings of distance based models in this context, we introduce statistical models for partial orders based on the notion of data depth. Here we use the rich vocabulary of formal concept analysis to utilize the notion of data depth for the case of partial orders data. After giving a concise definition of unimodal distributions and unimodal statistical models of partial orders, we present an algorithm for efficiently sampling from unimodal models as well as from arbitrary models based on data depth.",
author = "Hannah Blocher and Georg Schollmeyer and Christoph Jansen",
year = "2022",
month = jul,
day = "4",
doi = "10.1007/978-3-031-08974-9_2",
language = "English",
isbn = "9783031089732",
series = "Communications in Computer and Information Sciences",
publisher = "Springer",
editor = "Davide Ciucci and Couso, {In{\'e}s } and Jes{\'u}s Medina and Dominik {\'S}l{\c e}zak and Petturiti, {Davide } and Bernadette Bouchon-Meunier and Yager, {Ronald R. }",
booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems",

}

RIS

TY - GEN

T1 - Statistical Models for Partial Orders Based on Data Depth and Formal Concept Analysis

AU - Blocher, Hannah

AU - Schollmeyer, Georg

AU - Jansen, Christoph

PY - 2022/7/4

Y1 - 2022/7/4

N2 - In this paper, we develop statistical models for partial orders where the partially ordered character cannot be interpreted as stemming from the non-observation of data. After discussing some shortcomings of distance based models in this context, we introduce statistical models for partial orders based on the notion of data depth. Here we use the rich vocabulary of formal concept analysis to utilize the notion of data depth for the case of partial orders data. After giving a concise definition of unimodal distributions and unimodal statistical models of partial orders, we present an algorithm for efficiently sampling from unimodal models as well as from arbitrary models based on data depth.

AB - In this paper, we develop statistical models for partial orders where the partially ordered character cannot be interpreted as stemming from the non-observation of data. After discussing some shortcomings of distance based models in this context, we introduce statistical models for partial orders based on the notion of data depth. Here we use the rich vocabulary of formal concept analysis to utilize the notion of data depth for the case of partial orders data. After giving a concise definition of unimodal distributions and unimodal statistical models of partial orders, we present an algorithm for efficiently sampling from unimodal models as well as from arbitrary models based on data depth.

U2 - 10.1007/978-3-031-08974-9_2

DO - 10.1007/978-3-031-08974-9_2

M3 - Conference contribution/Paper

SN - 9783031089732

T3 - Communications in Computer and Information Sciences

BT - Information Processing and Management of Uncertainty in Knowledge-Based Systems

A2 - Ciucci, Davide

A2 - Couso, Inés

A2 - Medina, Jesús

A2 - Ślęzak, Dominik

A2 - Petturiti, Davide

A2 - Bouchon-Meunier, Bernadette

A2 - Yager, Ronald R.

PB - Springer

CY - Cham

ER -