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001437612 020__ $$a9783030650728$$q(electronic bk.)
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001437612 0247_ $$a10.1007/978-3-030-65072-8$$2doi
001437612 035__ $$aSP(OCoLC)1257705263
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001437612 1001_ $$aAhlswede, Rudolf,$$d1938-$$eauthor.
001437612 24510 $$aIdentification and other probabilistic models :$$bRudolf Ahlswede's lectures on information theory 6 /$$cRudolf Ahlswede ; Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm, editors.
001437612 264_1 $$aCham :$$bSpringer,$$c[2021]
001437612 264_4 $$c©2021
001437612 300__ $$a1 online resource :$$billustrations
001437612 336__ $$atext$$btxt$$2rdacontent
001437612 337__ $$acomputer$$bc$$2rdamedia
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001437612 4901_ $$aFoundations in signal processing, communications and networking,$$x1863-8538 ;$$vvolume 16
001437612 504__ $$aIncludes bibliographical references and index.
001437612 5050_ $$aWords and Introduction of the Editors -- Preface -- Part I Identification via Channels -- Part II A General Theory of Information Transfer -- Part III Identification, Mystery Numbers, or Common Randomness. -- Part IV Identification for Sources, Identication Entropy, and Hypothesis Testing -- Part VI New Results in Identification Theory -- Part VII Supplement -- List of Notations. -- Subject Index -- Author Index.
001437612 506__ $$aAccess limited to authorized users.
001437612 520__ $$aThe sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. "Easier" in this context means using fewer resources like channel usage, computing time or storage space. Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures. Rudolf Ahlswede wrote: It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph. D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs. The book also contains an afterword by Gunter Dueck.
001437612 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 2, 2021).
001437612 650_0 $$aInformation theory.
001437612 650_6 $$aThéorie de l'information.
001437612 655_0 $$aElectronic books.
001437612 7001_ $$aAhlswede, Alexander,$$eeditor.
001437612 7001_ $$aAlthöfer, Ingo,$$eeditor.
001437612 7001_ $$aDeppe, Christian,$$eeditor.
001437612 7001_ $$aTamm, Ulrich,$$eeditor.
001437612 77608 $$iPrint version:$$aAhlswede, Rudolf, 1938-$$tIdentification and other probabilistic models.$$dCham : Springer, [2021]$$z3030650707$$z9783030650704$$w(OCoLC)1202754333
001437612 830_0 $$aFoundations in signal processing, communications and networking ;$$vv. 16.$$x1863-8538
001437612 852__ $$bebk
001437612 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65072-8$$zOnline Access$$91397441.1
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