語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Identification and Other Probabilist...
~
Ahlswede, Rudolf.
Identification and Other Probabilistic Models = Rudolf Ahlswede’s Lectures on Information Theory 6 /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Identification and Other Probabilistic Models/ by Rudolf Ahlswede ; edited by Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm.
其他題名:
Rudolf Ahlswede’s Lectures on Information Theory 6 /
作者:
Ahlswede, Rudolf.
其他作者:
Tamm, Ulrich.
面頁冊數:
XXII, 724 p. 36 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Information and Communication, Circuits. -
電子資源:
https://doi.org/10.1007/978-3-030-65072-8
ISBN:
9783030650728
Identification and Other Probabilistic Models = Rudolf Ahlswede’s Lectures on Information Theory 6 /
Ahlswede, Rudolf.
Identification and Other Probabilistic Models
Rudolf Ahlswede’s Lectures on Information Theory 6 /[electronic resource] :by Rudolf Ahlswede ; edited by Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm. - 1st ed. 2021. - XXII, 724 p. 36 illus.online resource. - Foundations in Signal Processing, Communications and Networking,161863-8546 ;. - Foundations in Signal Processing, Communications and Networking,11.
Words 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.
The 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.
ISBN: 9783030650728
Standard No.: 10.1007/978-3-030-65072-8doiSubjects--Topical Terms:
671312
Information and Communication, Circuits.
LC Class. No.: Q350-390
Dewey Class. No.: 519
Identification and Other Probabilistic Models = Rudolf Ahlswede’s Lectures on Information Theory 6 /
LDR
:04294nam a22004095i 4500
001
1055857
003
DE-He213
005
20210921181505.0
007
cr nn 008mamaa
008
220103s2021 sz | s |||| 0|eng d
020
$a
9783030650728
$9
978-3-030-65072-8
024
7
$a
10.1007/978-3-030-65072-8
$2
doi
035
$a
978-3-030-65072-8
050
4
$a
Q350-390
050
4
$a
QA10.4
072
7
$a
PBW
$2
bicssc
072
7
$a
MAT003000
$2
bisacsh
072
7
$a
PBW
$2
thema
082
0 4
$a
519
$2
23
100
1
$a
Ahlswede, Rudolf.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1064178
245
1 0
$a
Identification and Other Probabilistic Models
$h
[electronic resource] :
$b
Rudolf Ahlswede’s Lectures on Information Theory 6 /
$c
by Rudolf Ahlswede ; edited by Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm.
250
$a
1st ed. 2021.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
XXII, 724 p. 36 illus.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Foundations in Signal Processing, Communications and Networking,
$x
1863-8546 ;
$v
16
505
0
$a
Words 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.
520
$a
The 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.
650
1 4
$a
Information and Communication, Circuits.
$3
671312
650
0
$a
Information theory.
$3
595305
700
1
$a
Tamm, Ulrich.
$e
editor.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1258647
700
1
$a
Deppe, Christian.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1075188
700
1
$a
Althöfer, Ingo.
$e
editor.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1258646
700
1
$a
Ahlswede, Alexander.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1064179
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030650704
776
0 8
$i
Printed edition:
$z
9783030650711
830
0
$a
Foundations in Signal Processing, Communications and Networking,
$x
1863-8538 ;
$v
11
$3
1258648
856
4 0
$u
https://doi.org/10.1007/978-3-030-65072-8
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入