Characterisation of conditional independence structures for polymatroids using vanishing sets

Terence Chan; Qi Chen; Raymond Yeung

Kybernetika (2020)

  • Volume: 56, Issue: 6, page 1022-1044
  • ISSN: 0023-5954

Abstract

top
In this paper, we characterise and classify a list of full conditional independences via the structure of the induced set of vanishing atoms. Construction of Markov random subfield and minimal characterisation of polymatroids satisfying a MRF will also be given.

How to cite

top

Chan, Terence, Chen, Qi, and Yeung, Raymond. "Characterisation of conditional independence structures for polymatroids using vanishing sets." Kybernetika 56.6 (2020): 1022-1044. <http://eudml.org/doc/297112>.

@article{Chan2020,
abstract = {In this paper, we characterise and classify a list of full conditional independences via the structure of the induced set of vanishing atoms. Construction of Markov random subfield and minimal characterisation of polymatroids satisfying a MRF will also be given.},
author = {Chan, Terence, Chen, Qi, Yeung, Raymond},
journal = {Kybernetika},
keywords = {full conditional independence; markov random field; polymatroids},
language = {eng},
number = {6},
pages = {1022-1044},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Characterisation of conditional independence structures for polymatroids using vanishing sets},
url = {http://eudml.org/doc/297112},
volume = {56},
year = {2020},
}

TY - JOUR
AU - Chan, Terence
AU - Chen, Qi
AU - Yeung, Raymond
TI - Characterisation of conditional independence structures for polymatroids using vanishing sets
JO - Kybernetika
PY - 2020
PB - Institute of Information Theory and Automation AS CR
VL - 56
IS - 6
SP - 1022
EP - 1044
AB - In this paper, we characterise and classify a list of full conditional independences via the structure of the induced set of vanishing atoms. Construction of Markov random subfield and minimal characterisation of polymatroids satisfying a MRF will also be given.
LA - eng
KW - full conditional independence; markov random field; polymatroids
UR - http://eudml.org/doc/297112
ER -

References

top
  1. Blake, A., Kohli, P., Rother, C., , MIT Press, 2011. MR2920522DOI
  2. Chan, T. H., Thakor, S., Grant, A., , IEEE Trans. Inform. Theory 65 (2019), 7, 4041-4051. MR3964839DOI
  3. Chen, M., Cho, J., Zhao, H., , PLOS Genetics 7 (2011), 1-13. DOI
  4. Doyle, L. E., Kokaram, A. C., Doyle, S. J., Forde, T. K., , IEEE Signal Process. Mag. 23 (2006), 63-73. DOI
  5. Geiger, D., Pearl, J., , Ann. Statist. 21 (1993), 4, 2001-2021. MR1245778DOI
  6. Malvestuto, F., , Inform. Sci. 59 (1992), 1, 21-52. MR1128204DOI
  7. Snijders, T. A., , Ann. Rev. Sociology 37 (2011), 1, 131-153. MR3074604DOI
  8. Wang, T., Krim, H., Viniotis, Y., , IEEE J. Selected Topics Signal Process. 7 (2013), 318-332. DOI
  9. Yeung, R. W., , IEEE Trans. Inform. Theory 37 (1991), 466-474. MR1145812DOI
  10. Yeung, R. W., Information Theory and Network Coding., Springer, 2008. 
  11. Yeung, R. W., Al-Bashabsheh, A., Chen, C., Chen, Q., Moulin, P., , IEEE Trans. Inform. Theory 65 (2019), 1493-1511. MR3923182DOI
  12. Yeung, R. W., Lee, T. T., Ye, Z., , IEEE Trans. Inform. Theory 48 (2002), 1996-2011. MR1930006DOI

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.