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While it is known that communication facilitates cooperation in multi-agent settings, it is unclear how to design artificial agents that can learn to effectively and efficiently communicate with each other. Much research on communication…

It has previously been shown that by using reinforcement learning (RL), agents can derive simple approximate and exact-restricted numeral systems that are similar to human ones (Carlsson, 2021). However, it is a major challenge to show how…

Computation and Language · Computer Science 2025-05-20 Andrea Silvi , Jonathan Thomas , Emil Carlsson , Devdatt Dubhashi , Moa Johansson

Finding and facilitating commonalities between the linguistic behaviors of large language models and humans could lead to major breakthroughs in our understanding of the acquisition, processing, and evolution of language. However, most…

Computation and Language · Computer Science 2024-11-28 Lukas Galke , Limor Raviv

Neural scaling laws are observed in a range of domains, to date with no universal understanding of why they occur. Recent theories suggest that loss power laws arise from Zipf's law, a power law observed in domains like natural language.…

Machine Learning · Computer Science 2025-10-15 Oren Neumann , Claudius Gros

Explicit communication among humans is key to coordinating and learning. Social learning, which uses cues from experts, can greatly benefit from the usage of explicit communication to align heterogeneous policies, reduce sample complexity,…

Machine Learning · Computer Science 2023-03-01 Seth Karten , Siva Kailas , Huao Li , Katia Sycara

The prevailing maximum likelihood estimators for inferring power law models from rank-frequency data are biased. The source of this bias is an inappropriate likelihood function. The correct likelihood function is derived and shown to be…

Applications · Statistics 2021-07-27 Charlie Pilgrim , Thomas T Hills

Continuous word representation (aka word embedding) is a basic building block in many neural network-based models used in natural language processing tasks. Although it is widely accepted that words with similar semantics should be close to…

Computation and Language · Computer Science 2020-03-18 Chengyue Gong , Di He , Xu Tan , Tao Qin , Liwei Wang , Tie-Yan Liu

The article presents a new interpretation for Zipf-Mandelbrot's law in natural language which rests on two areas of information theory. Firstly, we construct a new class of grammar-based codes and, secondly, we investigate properties of…

Information Theory · Computer Science 2020-03-11 Łukasz Dębowski

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 , .

The formation of sentences is a highly structured and history-dependent process. The probability of using a specific word in a sentence strongly depends on the 'history' of word-usage earlier in that sentence. We study a simple…

Physics and Society · Physics 2015-05-28 Stefan Thurner , Rudolf Hanel , Bo Liu , Bernat Corominas-Murtra

Zipf's law in its basic incarnation is an empirical probability distribution governing the frequency of usage of words in a language. As Terence Tao recently remarked, it still lacks a convincing and satisfactory mathematical explanation.…

Information Theory · Computer Science 2013-04-30 Yuri I. Manin

The mapping of lexical meanings to wordforms is a major feature of natural languages. While usage pressures might assign short words to frequent meanings (Zipf's law of abbreviation), the need for a productive and open-ended vocabulary,…

Computation and Language · Computer Science 2021-05-04 Tiago Pimentel , Irene Nikkarinen , Kyle Mahowald , Ryan Cotterell , Damián Blasi

A promising approach for teaching artificial agents to use natural language involves using human-in-the-loop training. However, recent work suggests that current machine learning methods are too data inefficient to be trained in this way…

Computation and Language · Computer Science 2020-06-24 Ryan Lowe , Abhinav Gupta , Jakob Foerster , Douwe Kiela , Joelle Pineau

We investigate the origin of Zipf's law for words in written texts by means of a stochastic dynamical model for text generation. The model incorporates both features related to the general structure of languages and memory effects inherent…

Statistical Mechanics · Physics 2007-05-23 Damián H. Zanette , Marcelo A. Montemurro

Learning, prediction, and compression are intimately connected: a model that accurately predicts the next symbol in a sequence can be coupled with a source coder to compress that sequence near its information-theoretic limit. When tokenized…

Information Theory · Computer Science 2026-05-05 Vishnu Teja Kunde , Jean-Francois Chamberland , Krishna R. Narayanan , Jamison Ebert

Concerns about interpretability, computational resources, and principled inductive priors have motivated efforts to engineer sparse neural models for NLP tasks. If sparsity is important for NLP, might well-trained neural models naturally…

Computation and Language · Computer Science 2019-08-07 Naomi Saphra , Adam Lopez

The paper explores how the human natural language structure can be seen as a product of evolution of inter-personal communication code, targeting maximisation of such culture-agnostic and cross-lingual metrics such as anti-entropy,…

Computation and Language · Computer Science 2023-06-13 Anton Kolonin

Recent works have highlighted optimization difficulties faced by gradient descent in training the first and last layers of transformer-based language models, which are overcome by optimizers such as Adam. These works suggest that the…

Machine Learning · Computer Science 2025-05-27 Frederik Kunstner , Francis Bach

Zipf's law establishes a scaling behavior for word-frequencies in large text corpora. The appearance of Zipfian properties in human language has been previously explained as an optimization problem for the interests of speakers and hearers.…

Physics and Society · Physics 2021-02-24 Javier Vera , Felipe Urbina , Wenceslao Palma

We show how Zipf's Law can be used to scale up language modeling (LM) to take advantage of more training data and more GPUs. LM plays a key role in many important natural language applications such as speech recognition and machine…

Computation and Language · Computer Science 2018-10-25 Mostofa Patwary , Milind Chabbi , Heewoo Jun , Jiaji Huang , Gregory Diamos , Kenneth Church