The General Expression of the Prior Convergence Error: A Proof

Janneke Bolt

doi:10.1007/978-3-319-08795-5_51

The General Expression of the Prior Convergence Error: A Proof

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In [2], we introduced the notion of the parental synergy. In the same paper, moreover, an expression was advanced for the prior convergence error (the error which is found in the marginal probabilities computed for a node when the parents of this node are wrongfully assumed to be independent), in which the parental synergy has a key position as weighting factor. This key position suggests that the parental synergy captures a fundamental feature of a Bayesian network. In this paper a proof is provided for the correctness of the conjectured expression of the prior convergence error.

Original language	English
Title of host publication	Information Processing and Management of Uncertainty in Knowledge-Based Systems
Subtitle of host publication	15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I
Editors	Anne Laurent, Olivier Strauss, Bernadette Bouchon-Meunier, Ronald R. Yager
Publisher	Springer
Pages	496-505
Number of pages	10
ISBN (Electronic)	978-3-319-08795-5
ISBN (Print)	978-3-319-08794-8
DOIs	https://doi.org/10.1007/978-3-319-08795-5_51
Publication status	Published - 2014
Event	15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014) - Montpellier, France Duration: 15 Jul 2014 → 19 Jul 2014

Publication series

Name	Communications in Computer and Information Science
Publisher	Springer
Volume	442
ISSN (Print)	1865-0929
ISSN (Electronic)	1865-0937

Conference

Conference	15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014)
Country/Territory	France
City	Montpellier
Period	15/07/14 → 19/07/14

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10.1007/978-3-319-08795-5_51

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Bolt, J. (2014). The General Expression of the Prior Convergence Error: A Proof. In A. Laurent, O. Strauss, B. Bouchon-Meunier, & R. R. Yager (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I (pp. 496-505). (Communications in Computer and Information Science; Vol. 442). Springer. https://doi.org/10.1007/978-3-319-08795-5_51

Bolt, Janneke. / The General Expression of the Prior Convergence Error: A Proof. Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I. editor / Anne Laurent ; Olivier Strauss ; Bernadette Bouchon-Meunier ; Ronald R. Yager. Springer, 2014. pp. 496-505 (Communications in Computer and Information Science).

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abstract = "In [2], we introduced the notion of the parental synergy. In the same paper, moreover, an expression was advanced for the prior convergence error (the error which is found in the marginal probabilities computed for a node when the parents of this node are wrongfully assumed to be independent), in which the parental synergy has a key position as weighting factor. This key position suggests that the parental synergy captures a fundamental feature of a Bayesian network. In this paper a proof is provided for the correctness of the conjectured expression of the prior convergence error.",

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Bolt, J 2014, The General Expression of the Prior Convergence Error: A Proof. in A Laurent, O Strauss, B Bouchon-Meunier & RR Yager (eds), Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I. Communications in Computer and Information Science, vol. 442, Springer, pp. 496-505, 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014), Montpellier, France, 15/07/14. https://doi.org/10.1007/978-3-319-08795-5_51

The General Expression of the Prior Convergence Error: A Proof. / Bolt, Janneke.
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I. ed. / Anne Laurent; Olivier Strauss; Bernadette Bouchon-Meunier; Ronald R. Yager. Springer, 2014. p. 496-505 (Communications in Computer and Information Science; Vol. 442).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - In [2], we introduced the notion of the parental synergy. In the same paper, moreover, an expression was advanced for the prior convergence error (the error which is found in the marginal probabilities computed for a node when the parents of this node are wrongfully assumed to be independent), in which the parental synergy has a key position as weighting factor. This key position suggests that the parental synergy captures a fundamental feature of a Bayesian network. In this paper a proof is provided for the correctness of the conjectured expression of the prior convergence error.

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Bolt J. The General Expression of the Prior Convergence Error: A Proof. In Laurent A, Strauss O, Bouchon-Meunier B, Yager RR, editors, Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part I. Springer. 2014. p. 496-505. (Communications in Computer and Information Science). doi: 10.1007/978-3-319-08795-5_51

The General Expression of the Prior Convergence Error: A Proof

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