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We introduce a simple model illustrating the role of context in communication and the challenge posed by uncertainty of knowledge of context. We consider a variant of distributional communication complexity where Alice gets some information…

Computational Complexity · Computer Science 2015-07-21 Badih Ghazi , Ilan Komargodski , Pravesh Kothari , Madhu Sudan

Quantitative linguistics has provided us with a number of empirical laws that characterise the evolution of languages and competition amongst them. In terms of language usage, one of the most influential results is Zipf's law of word…

Physics and Society · Physics 2009-01-21 Alvaro Corral , Ramon Ferrer-i-Cancho , Gemma Boleda , Albert Diaz-Guilera , .

Classical communication paradigms focus on accurately transmitting bits over a noisy channel, and Shannon theory provides a fundamental theoretical limit on the rate of reliable communications. In this approach, bits are treated equally,…

Information Theory · Computer Science 2022-08-05 Jincheng Dai , Ping Zhang , Kai Niu , Sixian Wang , Zhongwei Si , Xiaoqi Qin

Classical communication paradigms focus on accurately transmitting bits over a noisy channel, and Shannon theory provides a fundamental theoretical limit on the rate of reliable communications. In this approach, bits are treated equally,…

Information Theory · Computer Science 2022-06-03 Jincheng Dai , Ping Zhang , Kai Niu , Sixian Wang , Zhongwei Si , Xiaoqi Qin

Clear legal language forms the backbone of a contract for numerous reasons. Disputes often arise between contract parties where ambiguous language has been used and parties often disagree on the meaning or effect of the words. Unambiguous…

Computation and Language · Computer Science 2024-10-29 Emily Chivers , Shawn Curran

A common standpoint when designing the syntax of programming languages is that the grammar definition has to be unambiguous. However, requiring up front unambiguous grammars can force language designers to make more or less arbitrary…

Formal Languages and Automata Theory · Computer Science 2020-02-05 Viktor Palmkvist , Elias Castegren , Philipp Haller , David Broman

Language technologies that accurately model the dynamics of events must perform commonsense reasoning. Existing work evaluating commonsense reasoning focuses on making inferences about common, everyday situations. To instead investigate the…

Computation and Language · Computer Science 2024-05-02 Wenting Zhao , Justin T Chiu , Jena D. Hwang , Faeze Brahman , Jack Hessel , Sanjiban Choudhury , Yejin Choi , Xiang Lorraine Li , Alane Suhr

As conventional communication systems based on classic information theory have closely approached the limits of Shannon channel capacity, semantic communication has been recognized as a key enabling technology for the further improvement of…

Information Theory · Computer Science 2023-06-06 Jiancheng Tang , Qianqian Yang , Zhaoyang Zhang

The Zipf's law establishes that if the words of a (large) text are ordered by decreasing frequency, the frequency versus the rank decreases as a power law with exponent close to $-1$. Previous work has stressed that this pattern arises from…

Physics and Society · Physics 2019-04-03 Felipe Urbina , Javier Vera

The method of using concepts and insight from quantum information theory in order to solve problems in reversible classical computing (introduced in Ref. [1]) have been generalized to irreversible classical computing. The method have been…

Quantum Physics · Physics 2008-10-22 Berry Groisman

Emergence is a pregnant property in various fields. It is the fact for a phenomenon to appear surprisingly and to be such that it seems at first sight that it is not possible to predict its apparition. That is the reason why it has often…

Computational Complexity · Computer Science 2023-08-23 Hervé Zwirn

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

Prigogine and Stengers (1988) have pointed to the centrality of the concepts of "time and eternity" for the cosmology contained in Newtonian physics, but they have not addressed this issue beyond the domain of physics. The construction of…

History and Philosophy of Physics · Physics 2010-03-16 Loet Leydesdorff

Zipf's law is found when the vocabulary of long written texts is ranked according to the frequency of word occurrences, establishing a power-law decay for the frequency vs rank relation. This law is a robust statistical property observed…

Physics and Society · Physics 2020-02-17 Juan Ignacio Perotti , Orlando Vito Billoni

There is a cognitive limit in Human Mind. This cognitive limit has played a decisive role in almost all fields including computer sciences. The cognitive limit replicated in computer sciences is responsible for inherent Computational…

Other Computer Science · Computer Science 2022-12-22 Asad Malik

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

We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an "amount of information," but, as he pointed out, "no concept of information itself was defined."…

Information Theory · Computer Science 2021-12-06 David Ellerman

In computer science, we can theoretically neatly separate transmission and processing of information, hardware and software, and programs and their inputs. This is much more intricate in biology, Nevertheless, I argue that Shannon's concept…

Populations and Evolution · Quantitative Biology 2020-11-02 Jürgen Jost

Dynamics of arbitrary communication system is analysed as unreduced interaction process. The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon of dynamic multivaluedness of competing…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

This article serves as a brief introduction to the Shannon information theory. Concepts of information, Shannon entropy and channel capacity are mainly covered. All these concepts are developed in a totally combinatorial flavor. Some issues…

Information Theory · Computer Science 2021-04-26 Ricky X. F. Chen
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