{"title":"轮流吟唱的歌。2记忆容量的精确评估","authors":"P. Whittle","doi":"10.1098/rspa.1990.0050","DOIUrl":null,"url":null,"abstract":"An improved analysis is given of the antiphon: the device proposed in Whittle (1989) to achieve reliable memory from unreliable components. It is shown that for large systems of N such components one can reliably store KN + o(N) nats of information, and the supremum value of K (the capacity, C) is determined. It is moreover shown that a positive capacity (which is evaluated) can be achieved with the number M of processing units of no more than order N.","PeriodicalId":20605,"journal":{"name":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","volume":"363 1","pages":"45 - 60"},"PeriodicalIF":0.0000,"publicationDate":"1990-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The antiphon. II. The exact evaluation of memory capacity\",\"authors\":\"P. Whittle\",\"doi\":\"10.1098/rspa.1990.0050\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An improved analysis is given of the antiphon: the device proposed in Whittle (1989) to achieve reliable memory from unreliable components. It is shown that for large systems of N such components one can reliably store KN + o(N) nats of information, and the supremum value of K (the capacity, C) is determined. It is moreover shown that a positive capacity (which is evaluated) can be achieved with the number M of processing units of no more than order N.\",\"PeriodicalId\":20605,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences\",\"volume\":\"363 1\",\"pages\":\"45 - 60\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.1990.0050\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.1990.0050","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The antiphon. II. The exact evaluation of memory capacity
An improved analysis is given of the antiphon: the device proposed in Whittle (1989) to achieve reliable memory from unreliable components. It is shown that for large systems of N such components one can reliably store KN + o(N) nats of information, and the supremum value of K (the capacity, C) is determined. It is moreover shown that a positive capacity (which is evaluated) can be achieved with the number M of processing units of no more than order N.
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