We propose a model that explains the reliable emergence of power laws (e.g., Zipf’s law) during the development of different human languages. The model incorporates the principle of least effort in communications, minimizing a combination of the information-theoretic communication inefficiency and direct signal cost. We prove a general relationship, for all optimal languages, between the signal cost distribution and the resulting distribution of sig-nals. Zipf’s law then emerges for logarithmic signal cost distributions, which is the cost distri-bution expected for words constructed from letters or phonemes
Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of compl...
Until recently, models of communication have explicitly or implicitly assumed that the goal of a com...
The principle of least effort in communications has been shown, by Ferrer i Cancho and Solé, to expl...
We propose a model that explains the reliable emergence of power laws (e.g., Zipf’s law) during the ...
We propose a model that explains the reliable emergence of power laws (e.g., Zipf's law) during the ...
Copyright: © 2015 Salge et al. This is an open access article distributed under the terms of the Cre...
Abstract. We critically examine a model that attempts to explain emergence of power laws (e.g., Zipf...
Here, assuming a general communication model where objects map to signals, a power function for the ...
The emergence of a complex language is one of the fundamental events of human evolution, and several...
This article focuses on communication systems following Zipf’s law, in a study of the rel-ationship ...
A family of information theoretic models of communication was introduced more than a decade ago to e...
Although many species possess rudimentary communication systems, humans seem to be unique with regar...
Although many species possess rudimentary communication systems, humans seem to be unique with regar...
We demonstrate a substantial improvement on one of the most celebrated empirical laws in the study o...
Here we sketch a new derivation of Zipf's law for word frequencies based on optimal coding. The stru...
Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of compl...
Until recently, models of communication have explicitly or implicitly assumed that the goal of a com...
The principle of least effort in communications has been shown, by Ferrer i Cancho and Solé, to expl...
We propose a model that explains the reliable emergence of power laws (e.g., Zipf’s law) during the ...
We propose a model that explains the reliable emergence of power laws (e.g., Zipf's law) during the ...
Copyright: © 2015 Salge et al. This is an open access article distributed under the terms of the Cre...
Abstract. We critically examine a model that attempts to explain emergence of power laws (e.g., Zipf...
Here, assuming a general communication model where objects map to signals, a power function for the ...
The emergence of a complex language is one of the fundamental events of human evolution, and several...
This article focuses on communication systems following Zipf’s law, in a study of the rel-ationship ...
A family of information theoretic models of communication was introduced more than a decade ago to e...
Although many species possess rudimentary communication systems, humans seem to be unique with regar...
Although many species possess rudimentary communication systems, humans seem to be unique with regar...
We demonstrate a substantial improvement on one of the most celebrated empirical laws in the study o...
Here we sketch a new derivation of Zipf's law for word frequencies based on optimal coding. The stru...
Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of compl...
Until recently, models of communication have explicitly or implicitly assumed that the goal of a com...
The principle of least effort in communications has been shown, by Ferrer i Cancho and Solé, to expl...