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Statistical studies of languages have focused on the rank-frequency distribution of words. Instead, we introduce here a measure of how word ranks change in time and call this distribution \emph{rank diversity}. We calculate this diversity…

计算与语言 · 计算机科学 2015-05-15 Germinal Cocho , Jorge Flores , Carlos Gershenson , Carlos Pineda , Sergio Sánchez

The availability of large linguistic data sets enables data-driven approaches to study linguistic change. The Google Books corpus unigram frequency data set is used to investigate the word rank dynamics in eight languages. We observed the…

计算与语言 · 计算机科学 2022-02-15 Alex John Quijano , Rick Dale , Suzanne Sindi

A prefix normal word is a binary word with the property that no substring has more 1s than the prefix of the same length. This class of words is important in the context of binary jumbled pattern matching. In this paper we present an…

数据结构与算法 · 计算机科学 2014-06-23 Péter Burcsi , Gabriele Fici , Zsuzsanna Lipták , Frank Ruskey , Joe Sawada

This article develops a general detection theory for speech analysis based on time-varying autoregressive models, which themselves generalize the classical linear predictive speech analysis framework. This theory leads to a computationally…

应用统计 · 统计学 2011-08-25 Daniel Rudoy , Thomas F. Quatieri , Patrick J. Wolfe

The compositionality degree of multiword expressions indicates to what extent the meaning of a phrase can be derived from the meaning of its constituents and their grammatical relations. Prediction of (non)-compositionality is a task that…

计算与语言 · 计算机科学 2019-06-10 Abhik Jana , Dmitry Puzyrev , Alexander Panchenko , Pawan Goyal , Chris Biemann , Animesh Mukherjee

In this paper, we develop a computational approach for estimating the mean value of a quantity in the presence of uncertainty. We demonstrate that, under some mild assumptions, the upper and lower bounds of the mean value are efficiently…

统计理论 · 数学 2013-11-05 Xinjia Chen

We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of letters in regular languages.

组合数学 · 数学 2023-11-20 Rostislav Grigorchuk , Jean-François Quint

The average uncertainty associated with words is an information-theoretic concept at the heart of quantitative and computational linguistics. The entropy has been established as a measure of this average uncertainty - also called average…

计算与语言 · 计算机科学 2016-06-23 Christian Bentz , Dimitrios Alikaniotis

In this paper, we describe a method for estimating the joint probability density from data samples by assuming that the underlying distribution can be decomposed as a mixture of product densities with few mixture components. Prior works…

机器学习 · 统计学 2023-04-19 Pranava Singhal , Waqar Mirza , Ajit Rajwade , Karthik S. Gurumoorthy

A common task in computational text analyses is to quantify how two corpora differ according to a measurement like word frequency, sentiment, or information content. However, collapsing the texts' rich stories into a single number is often…

Language models (LMs) are statistical models trained to assign probability to human-generated text. As such, it is reasonable to question whether they approximate linguistic variability exhibited by humans well. This form of statistical…

计算与语言 · 计算机科学 2024-03-19 Evgenia Ilia , Wilker Aziz

We perform statistical analysis of the phenomenon of neology, the process by which new words emerge in a language, using large diachronic corpora of English. We investigate the importance of two factors, semantic sparsity and frequency…

计算与语言 · 计算机科学 2020-01-23 Maria Ryskina , Ella Rabinovich , Taylor Berg-Kirkpatrick , David R. Mortensen , Yulia Tsvetkov

In recent years, word embeddings have been widely used to measure biases in texts. Even if they have proven to be effective in detecting a wide variety of biases, metrics based on word embeddings lack transparency and interpretability. We…

计算与语言 · 计算机科学 2023-07-19 Francisco Valentini , Germán Rosati , Damián Blasi , Diego Fernandez Slezak , Edgar Altszyler

The telegraph process models a random motion with finite velocity and it is usually proposed as an alternative to diffusion models. The process describes the position of a particle moving on the real line, alternatively with constant…

统计理论 · 数学 2008-12-02 Alessandro De Gregorio , Stefano M. Iacus

We begin with a new analysis of formal words. Let w be a formal word in letters g_1,...,g_k. The word map associated with w maps the permutations s_1,...,s_k in S_n to the permutation obtained by replacing for each i, every occurrence of…

组合数学 · 数学 2011-04-21 Nati Linial , Doron Puder

As the probability (and thus perplexity) of a text is calculated based on the product of the probabilities of individual tokens, it may happen that one unlikely token significantly reduces the probability (i.e., increase the perplexity) of…

计算与语言 · 计算机科学 2023-07-19 Mihailo Škorić

How predictable a word is can be quantified in two ways: using human responses to the cloze task or using probabilities from language models (LMs).When used as predictors of processing effort, LM probabilities outperform probabilities…

计算与语言 · 计算机科学 2026-05-27 Sathvik Nair , Byung-Doh Oh

Neural network-based language models deal with data sparsity problems by mapping the large discrete space of words into a smaller continuous space of real-valued vectors. By learning distributed vector representations for words, each…

计算与语言 · 计算机科学 2018-09-27 Davide Nunes , Luis Antunes

Estimating the difficulty level of math word problems is an important task for many educational applications. Identification of relevant and irrelevant sentences in math word problems is an important step for calculating the difficulty…

计算与语言 · 计算机科学 2014-11-24 Suleyman Cetintas , Luo Si , Yan Ping Xin , Dake Zhang , Joo Young Park , Ron Tzur

Construct recursively a long string of words w1. .. wn, such that at each step k, w k+1 is a new word with a fixed probability p $\in$ (0, 1), and repeats some preceding word with complementary probability 1 -- p. More precisely, given a…

概率论 · 数学 2019-06-26 Jean Bertoin