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If w is a word in d>1 letters and G is a finite group, evaluation of w on a uniformly randomly chosen d-tuple in G gives a random variable with values in G, which may or may not be uniform. It is known that if G ranges over finite simple…

Group Theory · Mathematics 2020-09-23 Michael Larsen

Taylor's law describes the fluctuation characteristics underlying a system in which the variance of an event within a time span grows by a power law with respect to the mean. Although Taylor's law has been applied in many natural and social…

Computation and Language · Computer Science 2018-06-08 Tatsuru Kobayashi , Kumiko Tanaka-Ishii

This paper concerns the structure of meanings within natural language. Earlier, a framework named DisCoCirc was sketched that (1) is compositional and distributional (a.k.a. vectorial); (2) applies to general text; (3) captures linguistic…

Computation and Language · Computer Science 2023-01-26 Vincent Wang-Mascianica , Jonathon Liu , Bob Coecke

In this paper, we have introduced and evaluated intonation based feature for scoring the English speech of nonnative English speakers in Indian context. For this, we created an automated spoken English scoring engine to learn from the…

Computation and Language · Computer Science 2019-03-27 Amber Nigam , Arpan Saxena , Ishan Sodhi

Although information theoretic characterizations of human communication have become increasingly popular in linguistics, to date they have largely involved grafting probabilistic constructs onto older ideas about grammar. Similarities…

Computation and Language · Computer Science 2019-04-09 Michael Ramscar

The word-frequency distribution of a text written by an author is well accounted for by a maximum entropy distribution, the RGF (random group formation)-prediction. The RGF-distribution is completely determined by the a priori values of the…

Physics and Society · Physics 2017-10-03 Xiao-Yong Yan , Petter Minnhagen

Quantitative linguistics has been allowed, in the last few decades, within the admittedly blurry boundaries of the field of complex systems. A growing host of applied mathematicians and statistical physicists devote their efforts to…

Computation and Language · Computer Science 2017-08-24 Damián H. Zanette

Human beings are talkative. What advantage did their ancestors find in communicating so much? Numerous authors consider this advantage to be "obvious" and "enormous". If so, the problem of the evolutionary emergence of language amounts to…

Populations and Evolution · Quantitative Biology 2017-12-15 Jean-Louis Dessalles

We study a deliberately simple, fully non-linguistic model of text: a sequence of independent draws from a finite alphabet of letters plus a single space symbol. A word is defined as a maximal block of non-space symbols. Within this…

Computation and Language · Computer Science 2025-11-25 Vladimir Berman

The emergence of large language models (LLMs) has revolutionized numerous applications across industries. However, their "black box" nature often hinders the understanding of how they make specific decisions, raising concerns about their…

Artificial Intelligence · Computer Science 2024-03-06 Stefan Hackmann , Haniyeh Mahmoudian , Mark Steadman , Michael Schmidt

In Linguistics, a grapheme is a written unit of a writing system corresponding to a phonological sound. In Natural Language Processing tasks, written language is analysed through two different mediums, word analysis, and character analysis.…

Computation and Language · Computer Science 2024-04-03 Samuel Rose , Chandrasekhar Kambhampati

Given two functions $\mathbf{a}\!:\! [n] \rightarrow [n]$ and $\mathbf{b}\!:\! [n] \rightarrow [n]$ chosen uniformly at random, any word $w=w_1w_2\dots w_k\in \{a,b\}^k$ induces a random function $\mathbf{w}\!:\! [n] \rightarrow [n]$ by…

Probability · Mathematics 2026-04-01 Guillaume Chapuy , Guillem Perarnau

Chinese input recommendation plays an important role in alleviating human cost in typing Chinese words, especially in the scenario of mobile applications. The fundamental problem is to predict the conditional probability of the next word…

Computation and Language · Computer Science 2019-07-12 Hainan Zhang , Yanyan Lan , Jiafeng Guo , Jun Xu , Xueqi Cheng

The ability to produce and understand an unlimited number of different sentences is a hallmark of human language. Linguists have sought to define the essence of this generative capacity using formal grammars that describe the syntactic…

Computation and Language · Computer Science 2022-09-22 Carlos Gómez-Rodríguez , Morten H. Christiansen , Ramon Ferrer-i-Cancho

We study multidimensional cheap talk with simple language and aligned preferences. An expert communicates with a decision-maker using a score that aggregates a multidimensional state into a one-dimensional message. Even though the expert…

Theoretical Economics · Economics 2026-02-05 Jacopo Bizzotto , Nathan Hancart

Human language, as a typical complex system, its organization and evolution is an attractive topic for both physical and cultural researchers. In this paper, we present the first exhaustive analysis of the text organization of human speech.…

Computation and Language · Computer Science 2015-01-08 Ruokuang Lin , Qianli D. Y. Ma , Chunhua Bian

Large Language Models are built on the so-called distributional semantic approach to linguistic meaning that has the distributional hypothesis at its core. The distributional hypothesis involves a holistic conception of word meaning: the…

Computation and Language · Computer Science 2025-04-04 Jumbly Grindrod , J. D. Porter , Nat Hansen

The dependence with text length of the statistical properties of word occurrences has long been considered a severe limitation quantitative linguistics. We propose a simple scaling form for the distribution of absolute word frequencies…

Physics and Society · Physics 2015-06-15 Francesc Font-Clos , Gemma Boleda , Álvaro Corral

In observational studies of discrimination, the most common statistical approaches consider either the rate at which decisions are made (benchmark tests) or the success rate of those decisions (outcome tests). Both tests, however, have…

Applications · Statistics 2025-03-07 Johann D. Gaebler , Sharad Goel

This paper introduces new methods based on exponential families for modeling the correlations between words in text and speech. While previous work assumed the effects of word co-occurrence statistics to be constant over a window of several…

cmp-lg · Computer Science 2008-02-03 Doug Beeferman , Adam Berger , John Lafferty