### Abstract

The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. We analyse analogs of the Fisher information inequality and entropy-power inequality for the weighted entropy and discuss connections with weighted Lieb’s splitting inequality. The concepts of rates of the weighted entropy and information are also discussed.

Original language | English (US) |
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Title of host publication | Analytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings |

Editors | Vladimir V. Rykov, Nozer D. Singpurwalla, Andrey M. Zubkov |

Publisher | Springer Verlag |

Pages | 293-308 |

Number of pages | 16 |

ISBN (Print) | 9783319715032 |

DOIs | |

State | Published - Jan 1 2017 |

Event | 1st International Conference Analytical and Computational Methods in Probability Theory, ACMPT 2017 - Moscow, Russian Federation Duration: Oct 23 2017 → Oct 27 2017 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 10684 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 1st International Conference Analytical and Computational Methods in Probability Theory, ACMPT 2017 |
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Country | Russian Federation |

City | Moscow |

Period | 10/23/17 → 10/27/17 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Analytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings*(pp. 293-308). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10684 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-71504-9_25

}

*Analytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10684 LNCS, Springer Verlag, pp. 293-308, 1st International Conference Analytical and Computational Methods in Probability Theory, ACMPT 2017, Moscow, Russian Federation, 10/23/17. https://doi.org/10.1007/978-3-319-71504-9_25

**Weighted entropy and its use in computer science and beyond.** / Kelbert, Mark; Stuhl, Izabella; Soukhov, Iouri M.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Weighted entropy and its use in computer science and beyond

AU - Kelbert, Mark

AU - Stuhl, Izabella

AU - Soukhov, Iouri M.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. We analyse analogs of the Fisher information inequality and entropy-power inequality for the weighted entropy and discuss connections with weighted Lieb’s splitting inequality. The concepts of rates of the weighted entropy and information are also discussed.

AB - The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. We analyse analogs of the Fisher information inequality and entropy-power inequality for the weighted entropy and discuss connections with weighted Lieb’s splitting inequality. The concepts of rates of the weighted entropy and information are also discussed.

UR - http://www.scopus.com/inward/record.url?scp=85039445325&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85039445325&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-71504-9_25

DO - 10.1007/978-3-319-71504-9_25

M3 - Conference contribution

AN - SCOPUS:85039445325

SN - 9783319715032

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 293

EP - 308

BT - Analytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings

A2 - Rykov, Vladimir V.

A2 - Singpurwalla, Nozer D.

A2 - Zubkov, Andrey M.

PB - Springer Verlag

ER -