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Information theory has provided foundations for the theories of several application areas critical for modern society, including communications, computer storage, and AI. A key aspect of Shannon's 1948 theory is a sharp lower bound on the…

Despite its obvious relevance, meaning has been outside most theoretical approaches to information in biology. As a consequence, functional responses based on an appropriate interpretation of signals has been replaced by a probabilistic…

Information Theory · Computer Science 2013-08-22 Bernat Corominas Murtra , Jordi Fortuny Andreu , Ricard Solé

One of the key aspects of Shannon's theory is that it provides guidance for designing the most efficient systems, such as minimizing errors and clarifying the limits of coding. Such theories have made great developments in the 50 years…

Quantum Physics · Physics 2025-10-10 Osamu Hirota

Information theory, introduced by Shannon, has been extremely successful and influential as a mathematical theory of communication. Shannon's notion of information does not consider the meaning of the messages being communicated but only…

Neurons and Cognition · Quantitative Biology 2024-12-17 Alireza Zaeemzadeh , Giulio Tononi

This article studies the emergence of ambiguity in communication through the concept of logical irreversibility and within the framework of Shannon's information theory. This leads us to a precise and general expression of the intuition…

Computation and Language · Computer Science 2013-10-02 Jordi Fortuny , Bernat Corominas-Murtra

Claude Shannons information theory (1949) has had a revolutionary impact on communication science. A crucial property of his framework is that it decouples the meaning of a message from the mechanistic details from the actual communication…

Adaptation and Self-Organizing Systems · Physics 2016-03-14 Rick Quax , Omri Har-Shemesh , Stefan Thurner , Peter M. A. Sloot

Biologists rely heavily on the language of information, coding, and transmission that is commonplace in the field of information theory as developed by Claude Shannon, but there is open debate about whether such language is anything more…

Populations and Evolution · Quantitative Biology 2008-10-24 C. T. Bergstrom , M. Rosvall

Shannon's information theory deliberately excludes message semantics. This paper develops a rigorous framework for semantic communication that integrates formal proof systems with Shannon-theoretic tools. We introduce an axiomatic…

Logic in Computer Science · Computer Science 2026-04-21 Jianfeng Xu

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

The last seventy years have witnessed the transition of communication from Shannon's theoretical concept to current high-efficient practical systems. Classical communication systems address the capability-deficiency issue mainly by…

Information Theory · Computer Science 2022-03-31 Kai Niu , Jincheng Dai , Shengshi Yao , Sixian Wang , Zhongwei Si , Xiaoqi Qin , Ping Zhang

Model-based coding, described by John Pierce in 1961, has great potential to reduce the volume of information that needs to be transmitted in moving big data, without loss of information, from one place to another, or in lossless…

Information Theory · Computer Science 2016-12-09 J Gerard Wolff

Traditional communication theory focuses on minimizing transmit power. However, communication links are increasingly operating at shorter ranges where transmit power can be significantly smaller than the power consumed in decoding. This…

Information Theory · Computer Science 2011-02-17 Pulkit Grover , Kristen Ann Woyach , Anant Sahai

Information theory is introduced in this lecture note with a particular emphasis on its relevance to algebraic coding theory. The document develops the mathematical foundations for quantifying uncertainty and information transmission by…

Information Theory · Computer Science 2025-12-08 El Mahdi Mouloua , Essaid Mohamed

Existing communication systems are mainly built based on Shannon's information theory which deliberately ignores the semantic aspects of communication. The recent iteration of wireless technology, the so-called 5G and beyond, promises to…

Networking and Internet Architecture · Computer Science 2021-06-24 Guangming Shi , Yong Xiao , Yingyu Li , Xuemei Xie

In generative communication, the transmitter sends a compact generative description, such as model parameters or a latent representation, rather than raw data. The receiver uses this description to form a posterior belief over the…

Information Theory · Computer Science 2026-05-14 Angeles Vazquez-Castro , Faheem Dustin Quazi , Zhu Han

Semantic communication, regarded as the breakthrough beyond the Shannon paradigm, aims at the successful transmission of semantic information conveyed by the source rather than the accurate reception of each single symbol or bit regardless…

Information Theory · Computer Science 2022-06-28 Zhijin Qin , Xiaoming Tao , Jianhua Lu , Wen Tong , Geoffrey Ye Li

Each generation of cellular networks is characterized by its distinct capabilities and innovations, which reflect the significant milestones reached with each new release. 5G has made substantial progress through the deployment of advanced…

Networking and Internet Architecture · Computer Science 2024-06-04 Gabriella Fernandes , Hélder Fontes , Rui Campos

Semantic communication has emerged as a promising paradigm to address the challenges of next-generation communication networks. While some progress has been made in its conceptualization, fundamental questions remain unresolved. In this…

Information Theory · Computer Science 2025-05-05 Javad Gholipour , Rafael F. Schaefer , Gerhard P. Fettweis

Shannon information theory is established based on probability and bits, and the communication technology based on this theory realizes the information age. The original goal of Shannon's information theory is to describe and transmit…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Guangming Shi , Dahua Gao , Shuai Ma , Minxi Yang , Yong Xiao , Xuemei Xie

Shannon's mathematical theory of communication defines fundamental limits on how much information can be transmitted between the different components of any man-made or biological system. This paper is an informal but rigorous introduction…

Information Theory · Computer Science 2019-06-14 James V Stone
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