Minimax Rényi Redundancy
The redundancy for universal lossless compression of discrete memoryless sources in Campbell's setting is characterized as a minimax Rényi divergence, which is shown to be equal to the maximal \(\alpha\)-mutual information via a generalized redundancy-capacity theorem. Special attention is plac...
Saved in:
| Published in | arXiv.org |
|---|---|
| Main Authors | , , |
| Format | Paper |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
24.01.2018
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | The redundancy for universal lossless compression of discrete memoryless sources in Campbell's setting is characterized as a minimax Rényi divergence, which is shown to be equal to the maximal \(\alpha\)-mutual information via a generalized redundancy-capacity theorem. Special attention is placed on the analysis of the asymptotics of minimax Rényi divergence, which is determined up to a term vanishing in blocklength. |
|---|---|
| AbstractList | The redundancy for universal lossless compression of discrete memoryless sources in Campbell's setting is characterized as a minimax Rényi divergence, which is shown to be equal to the maximal \(\alpha\)-mutual information via a generalized redundancy-capacity theorem. Special attention is placed on the analysis of the asymptotics of minimax Rényi divergence, which is determined up to a term vanishing in blocklength. |
| Author | Verdú, Sergio Yagli, Semih Altuğ, Yücel |
| Author_xml | – sequence: 1 givenname: Semih surname: Yagli fullname: Yagli, Semih – sequence: 2 givenname: Yücel surname: Altuğ fullname: Altuğ, Yücel – sequence: 3 givenname: Sergio surname: Verdú fullname: Verdú, Sergio |
| BookMark | eNrjYmDJy89LZWCQNDTQM7EwNTXQTyyqyCzTMzQ3MNQzMDQ0MGZi4DQyNjbUtTAxMuJg4C0uzjIwMDAyMzcyNTXmZJD0zczLzE2sUAg6vDKvMlMhKDWlNC8lMS-5koeBNS0xpziVF0pzMyi7uYY4e-gWFOUXlqYWl8Rn5ZcW5QGl4o0MzA2NzA0tTUyNiVMFAOuKMvc |
| ContentType | Paper |
| Copyright | 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.48550/arxiv.1701.01103 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Engineering Collection ProQuest Engineering Database Access via ProQuest (Open Access) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
| ID | FETCH-proquest_journals_20712719453 |
| IEDL.DBID | BENPR |
| IngestDate | Thu Oct 10 18:27:16 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-proquest_journals_20712719453 |
| OpenAccessLink | https://www.proquest.com/docview/2071271945?pq-origsite=%requestingapplication% |
| PQID | 2071271945 |
| PQPubID | 2050157 |
| ParticipantIDs | proquest_journals_2071271945 |
| PublicationCentury | 2000 |
| PublicationDate | 20180124 |
| PublicationDateYYYYMMDD | 2018-01-24 |
| PublicationDate_xml | – month: 01 year: 2018 text: 20180124 day: 24 |
| PublicationDecade | 2010 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2018 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 3.1336384 |
| SecondaryResourceType | preprint |
| Snippet | The redundancy for universal lossless compression of discrete memoryless sources in Campbell's setting is characterized as a minimax Rényi divergence, which is... |
| SourceID | proquest |
| SourceType | Aggregation Database |
| SubjectTerms | Codes Divergence Minimax technique Redundancy |
| Title | Minimax Rényi Redundancy |
| URI | https://www.proquest.com/docview/2071271945 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwY2BQsTBPTE4zNbPQTbFMs9Q1MUlNAuY5SwPdlFTTlDRL4yRgPxe0wdnXz8wj1MQrwjQCOuBWDF1WCSsTwQV1Sn4yaIwcNBJiaGQO7HKb2hcU6oJujQLNrkKv0GBmYDUyNAFN07I6ufoFBMFHWYzMzIFtZmPIdCb48C79xKKKzDI90DHkeqC6zxijEAbXLG6CDKwBiQWpRUIMTKl5wgzs4AWZycUiDJK-mXmZuYkVCkGHV-ZVZioEpYK2e4GKQlEGZTfXEGcPXZh58dD0UByPcL2xGAMLsGOfKsGgkGKYnGQBbD6kGlqYmViaJSWmGJtZGJukGhmkGZubJxtKMsjgM0kKv7Q0AxewcgetVNM1MpFhYCkpKk2VBVagJUlyDMwWbu5y0LAC8nzrXAH9xHcK |
| link.rule.ids | 786,790,12792,21416,27956,33406,33777,43633,43838 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwY2BQsTBPTE4zNbPQTbFMs9Q1MUlNAuY5SwPdlFTTlDRL4yRgPxe0wdnXz8wj1MQrwjQCOuBWDF1WCSsTwQV1Sn4yaIwcNBJiaGQO7HKb2hcU6oJujQLNrkKv0GBmYAUduWnBwsDq5OoXEAQfZTEyMwe2mY0h05ngw7v0E4sqMsv0QMeQ64HqPmOMQhhcs7gJMrAGJBakFgkxMKXmCTOwgxdkJheLMEj6ZuZl5iZWKAQdXplXmakQlAra7gUqCkUZlN1cQ5w9dGHmxUPTQ3E8wvXGYgwswI59qgSDQophcpIFsPmQamhhZmJplpSYYmxmYWySamSQZmxunmwoySCDzyQp_NLyDJweIb4-8T6eft7SDFzAih60ak3XyESGgaWkqDRVFliZliTJQUMMACPGd-k |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Minimax+R%C3%A9nyi+Redundancy&rft.jtitle=arXiv.org&rft.au=Yagli%2C+Semih&rft.au=Altu%C4%9F%2C+Y%C3%BCcel&rft.au=Verd%C3%BA%2C+Sergio&rft.date=2018-01-24&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1701.01103 |