On computations with causal compositional models

Vladislav Bína; Radim Jiroušek

Kybernetika (2015)

  • Volume: 51, Issue: 3, page 525-539
  • ISSN: 0023-5954

Abstract

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The knowledge of causal relations provides a possibility to perform predictions and helps to decide about the most reasonable actions aiming at the desired objectives. Although the causal reasoning appears to be natural for the human thinking, most of the traditional statistical methods fail to address this issue. One of the well-known methodologies correctly representing the relations of cause and effect is Pearl's causality approach. The paper brings an alternative, purely algebraic methodology of causal compositional models. It presents the properties of operator of composition, on which a general methodology is based that makes it possible to evaluate the causal effects of some external action. The proposed methodology is applied to four illustrative examples. They illustrate that the effect of intervention can in some cases be evaluated even when the model contains latent (unobservable) variables.

How to cite

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Bína, Vladislav, and Jiroušek, Radim. "On computations with causal compositional models." Kybernetika 51.3 (2015): 525-539. <http://eudml.org/doc/271599>.

@article{Bína2015,
abstract = {The knowledge of causal relations provides a possibility to perform predictions and helps to decide about the most reasonable actions aiming at the desired objectives. Although the causal reasoning appears to be natural for the human thinking, most of the traditional statistical methods fail to address this issue. One of the well-known methodologies correctly representing the relations of cause and effect is Pearl's causality approach. The paper brings an alternative, purely algebraic methodology of causal compositional models. It presents the properties of operator of composition, on which a general methodology is based that makes it possible to evaluate the causal effects of some external action. The proposed methodology is applied to four illustrative examples. They illustrate that the effect of intervention can in some cases be evaluated even when the model contains latent (unobservable) variables.},
author = {Bína, Vladislav, Jiroušek, Radim},
journal = {Kybernetika},
keywords = {causal model; conditioning; intervention; extension; causal model; conditioning; intervention; extension; predictions},
language = {eng},
number = {3},
pages = {525-539},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On computations with causal compositional models},
url = {http://eudml.org/doc/271599},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Bína, Vladislav
AU - Jiroušek, Radim
TI - On computations with causal compositional models
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 3
SP - 525
EP - 539
AB - The knowledge of causal relations provides a possibility to perform predictions and helps to decide about the most reasonable actions aiming at the desired objectives. Although the causal reasoning appears to be natural for the human thinking, most of the traditional statistical methods fail to address this issue. One of the well-known methodologies correctly representing the relations of cause and effect is Pearl's causality approach. The paper brings an alternative, purely algebraic methodology of causal compositional models. It presents the properties of operator of composition, on which a general methodology is based that makes it possible to evaluate the causal effects of some external action. The proposed methodology is applied to four illustrative examples. They illustrate that the effect of intervention can in some cases be evaluated even when the model contains latent (unobservable) variables.
LA - eng
KW - causal model; conditioning; intervention; extension; causal model; conditioning; intervention; extension; predictions
UR - http://eudml.org/doc/271599
ER -

References

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  3. Jiroušek, R., 10.1080/03081079.2011.562627, Int. J. Gen. Syst. 40 (2011), 6, 623-678. Zbl1252.68285MR2817988DOI10.1080/03081079.2011.562627
  4. Jiroušek, R., 10.1007/978-3-319-08795-5_53, In: Proc. 15th Int. Conf. on Inf. Processing and Management of Uncertainty - Part I. Springer 2014, pp. 517-526. DOI10.1007/978-3-319-08795-5_53
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  6. Malvestuto, F. M., Marginalization in models generated by compositional expressions., To appear in Kybernetika 51 (2015), 4. MR3350569
  7. Pearl, J., 10.1017/cbo9780511803161, Cambridge University Press, NY 2009. Zbl1188.68291MR2548166DOI10.1017/cbo9780511803161
  8. Ryall, M., Bramson, A., 10.4324/9780203076835, Routledge, NY 2013. DOI10.4324/9780203076835
  9. Shachter, R., 10.1287/opre.34.6.871, Oper. Res. 34 (1986), 6, 871-882. MR0886655DOI10.1287/opre.34.6.871
  10. Spirtes, P., Glymour, C., Scheines, R., 10.1007/978-1-4612-2748-9, Springer Lecture Notes in Statistics, New York 1993. Zbl0981.62001MR1227558DOI10.1007/978-1-4612-2748-9
  11. Tucci, R. R., Introduction to Judea Pearl's Do-Calculus., arXiv:1305.5506v1 [cs.AI] (2013). 

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