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The word-frequency distribution provides the fundamental building blocks that generate discourse in language. It is well known, from empirical evidence, that the word-frequency distribution of almost any text is described by Zipf's law, at…

Physics and Society · Physics 2020-11-09 Alvaro Corral , Montserrat Garcia del Muro

Despite renewed interest in emergent language simulations with neural networks, little is known about the basic properties of the induced code, and how they compare to human language. One fundamental characteristic of the latter, known as…

Computation and Language · Computer Science 2019-10-16 Rahma Chaabouni , Eugene Kharitonov , Emmanuel Dupoux , Marco Baroni

Tokenization is a fundamental step in natural language processing (NLP) and other sequence modeling domains, where the choice of vocabulary size significantly impacts model performance. Despite its importance, selecting an optimal…

Machine Learning · Computer Science 2025-07-31 Yanjin He , Qingkai Zeng , Meng Jiang

We checked that the distribution of words in text should uniform, which gives Heaps' law as natural result, that is, the number of types of words can be expressed as a power law of the number of tokens within text. We developed a…

Physics and Society · Physics 2025-04-16 Kim Chol-jun

Words in natural language follow a Zipfian distribution whereby some words are frequent but most are rare. Learning representations for words in the "long tail" of this distribution requires enormous amounts of data. Representations of rare…

Machine Learning · Computer Science 2018-03-08 Dzmitry Bahdanau , Tom Bosc , Stanisław Jastrzębski , Edward Grefenstette , Pascal Vincent , Yoshua Bengio

Natural language has the universal properties of being compositional and grounded in reality. The emergence of linguistic properties is often investigated through simulations of emergent communication in referential games. However, these…

Computation and Language · Computer Science 2024-07-26 Tom Kouwenhoven , Max Peeperkorn , Bram van Dijk , Tessa Verhoef

To be successful in real-world tasks, Reinforcement Learning (RL) needs to exploit the compositional, relational, and hierarchical structure of the world, and learn to transfer it to the task at hand. Recent advances in representation…

Human language, the most powerful communication system in history, is closely associated with cognition. Written text is one of the fundamental manifestations of language, and the study of its universal regularities can give clues about how…

Computation and Language · Computer Science 2009-02-05 M. Angeles Serrano , Alessandro Flammini , Filippo Menczer

We study the problem of emergent communication, in which language arises because speakers and listeners must communicate information in order to solve tasks. In temporally extended reinforcement learning domains, it has proved hard to learn…

Multiagent Systems · Computer Science 2019-12-13 Tom Eccles , Yoram Bachrach , Guy Lever , Angeliki Lazaridou , Thore Graepel

Recent work (Xu et al., 2020) has suggested that numeral systems in different languages are shaped by a functional need for efficient communication in an information-theoretic sense. Here we take a learning-theoretic approach and show how…

Computation and Language · Computer Science 2024-05-01 Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

Biosemiosis is a process of choice-making between simultaneously alternative options. It is well-known that, when sufficiently young children encounter a new word, they tend to interpret it as pointing to a meaning that does not have a word…

Computation and Language · Computer Science 2022-09-22 David Carrera-Casado , Ramon Ferrer-i-Cancho

Natural languages exhibit striking regularities in their statistical structure, including notably the emergence of Zipf's and Heaps' laws. Despite this, it remains broadly unclear how these properties relate to the modern tokenisation…

Computation and Language · Computer Science 2026-01-08 David S. Berman , Alexander G. Stapleton

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 , .

In his pioneering research, G. K. Zipf observed that more frequent words tend to have more meanings, and showed that the number of meanings of a word grows as the square root of its frequency. He derived this relationship from two…

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho , Michael S. Vitevitch

The growth dynamics of complex systems often exhibit statistical regularities involving power-law relationships. For real finite complex systems formed by countable tokens (animals, words) as instances of distinct types (species, dictionary…

Physics and Society · Physics 2026-03-31 Pablo Rosillo-Rodes , Laurent Hébert-Dufresne , Peter Sheridan Dodds

Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way,…

Physics and Society · Physics 2015-07-14 Alvaro Corral , Gemma Boleda , Ramon Ferrer-i-Cancho

In this paper, we study the technical problem of developing conversational agents that can quickly adapt to unseen tasks, learn task-specific communication tactics, and help listeners finish complex, temporally extended tasks. We find that…

Human-Computer Interaction · Computer Science 2024-01-08 Xiaoran Wu , Yipeng Kang

Interactive reinforcement learning agents use human feedback or instruction to help them learn in complex environments. Often, this feedback comes in the form of a discrete signal that is either positive or negative. While informative, this…

Artificial Intelligence · Computer Science 2021-04-13 Tasmia Tasrin , Md Sultan Al Nahian , Habarakadage Perera , Brent Harrison

Zipf's law states that sequential frequencies of words in a text correspond to a power function. Its probabilistic model is an infinite urn scheme with asymptotically power distribution. The exponent of this distribution must be estimated.…

Statistics Theory · Mathematics 2017-06-15 Mikhail Chebunin , Artyom Kovalevskii

Recent advances in reinforcement learning have shown its potential to tackle complex real-life tasks. However, as the dimensionality of the task increases, reinforcement learning methods tend to struggle. To overcome this, we explore…

Computation and Language · Computer Science 2020-02-06 Erez Schwartz , Guy Tennenholtz , Chen Tessler , Shie Mannor