國立虎尾科技大學 |

The mathematical theory of semantic communication

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The mathematical theory of semantic communication/ by Kai Niu, Ping Zhang.
Author:	Niu, Kai.
other author:	Zhang, Ping.
Published:	Singapore :Springer Nature Singapore : : 2025.,
Description:	viii, 115 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Semantic computing - Mathematics. -
Online resource:	https://doi.org/10.1007/978-981-96-5132-0
ISBN:	9789819651320

The mathematical theory of semantic communication
Niu, Kai.

The mathematical theory of semantic communication[electronic resource] /by Kai Niu, Ping Zhang. - Singapore :Springer Nature Singapore :2025. - viii, 115 p. :ill., digital ;24 cm. - SpringerBriefs in computer science,2191-5776. - SpringerBriefs in computer science..

Open access.

This Open Access Book explores how classical information theory's focus on syntactic information has limited the further development of communication science. Recently, communication technologies that handle and transmit semantic information have gained widespread attention in academia. Semantic communication has paved new directions for the future of communication technology development, yet it lacks a general mathematical guiding theory. To address this challenge, this open access book constructs a theoretical framework for semantic information theory and provides a systematic exposition of the measurement system for semantic information and the theoretical limits of semantic communication. It serves as a professional reference for researchers in information and communication. The book begins by deeply analyzing the data characteristics of various information sources and the needs of downstream tasks to summarize and generalize the universal attribute of semantic information-synonymity and to define the synonymous mapping between semantic information and syntactic information. Stemming from this core concept, synonymous mapping, this book introduces the measures of semantic information. It then introduces a new mathematical tool, Synonymous Asymptotic Equipartition (AEP), to explore the mathematical properties of synonymous typical sequences and applies random coding and synonymous typical sequence decoding/encoding to prove the semantic lossless source coding theorem, semantic channel coding theorem, and semantic limited distortion source coding theorem. In addition, the semantic information measures in the continuous case are discussed and a new channel capacity formula of the band-limited Gaussian channel is obtained, which is an important extension of the classical channel capacity. The book is a valuable resource for researchers, academics, and professionals in the field of information and communication, particularly those interested in advancing the frontiers of semantic communication technology.

ISBN: 9789819651320

Standard No.: 10.1007/978-981-96-5132-0doiSubjects--Topical Terms:

1488794
Semantic computing
--Mathematics.

LC Class. No.: QA76.5913

Dewey Class. No.: 006.0151

The mathematical theory of semantic communication
LDR:03143nam a2200361 a 4500 001 1161865
003 DE-He213
005 20250531130243.0
006 m d
007 cr nn 008maaau
008 251029s2025 si s 0 eng d
020 $a 9789819651320 $q (electronic bk.)
020 $a 9789819651313 $q (paper)
024 7 $a 10.1007/978-981-96-5132-0 $2 doi
035 $a 978-981-96-5132-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.5913
072 7 $a GPJ $2 bicssc
072 7 $a GPF $2 bicssc
072 7 $a COM031000 $2 bisacsh
072 7 $a GPJ $2 thema
072 7 $a GPF $2 thema
082 0 4 $a 006.0151 $2 23
090 $a QA76.5913 $b .N733 2025
100 1 $a Niu, Kai. $3 1488793
245 1 4 $a The mathematical theory of semantic communication $h [electronic resource] / $c by Kai Niu, Ping Zhang.
260 $a Singapore : $c 2025. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a viii, 115 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in computer science, $x 2191-5776
506 $a Open access.
520 $a This Open Access Book explores how classical information theory's focus on syntactic information has limited the further development of communication science. Recently, communication technologies that handle and transmit semantic information have gained widespread attention in academia. Semantic communication has paved new directions for the future of communication technology development, yet it lacks a general mathematical guiding theory. To address this challenge, this open access book constructs a theoretical framework for semantic information theory and provides a systematic exposition of the measurement system for semantic information and the theoretical limits of semantic communication. It serves as a professional reference for researchers in information and communication. The book begins by deeply analyzing the data characteristics of various information sources and the needs of downstream tasks to summarize and generalize the universal attribute of semantic information-synonymity and to define the synonymous mapping between semantic information and syntactic information. Stemming from this core concept, synonymous mapping, this book introduces the measures of semantic information. It then introduces a new mathematical tool, Synonymous Asymptotic Equipartition (AEP), to explore the mathematical properties of synonymous typical sequences and applies random coding and synonymous typical sequence decoding/encoding to prove the semantic lossless source coding theorem, semantic channel coding theorem, and semantic limited distortion source coding theorem. In addition, the semantic information measures in the continuous case are discussed and a new channel capacity formula of the band-limited Gaussian channel is obtained, which is an important extension of the classical channel capacity. The book is a valuable resource for researchers, academics, and professionals in the field of information and communication, particularly those interested in advancing the frontiers of semantic communication technology.
650 0 $a Semantic computing $x Mathematics. $3 1488794
650 1 4 $a Coding and Information Theory. $3 669784
650 2 4 $a Computer Communication Networks. $3 669310
650 2 4 $a Communications Engineering, Networks. $3 669809
700 1 $a Zhang, Ping. $3 1023853
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in computer science. $3 883114
856 4 0 $u https://doi.org/10.1007/978-981-96-5132-0
950 $a Computer Science (SpringerNature-11645)