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A simple method for finding the entropy and redundancy of a reasonable long sample of English text by direct computer processing and from first principles according to Shannon theory is presented. As an example, results on the entropy of…

计算与语言 · 计算机科学 2009-11-19 Fabio G. Guerrero

Shannon entropy is often a quantity of interest to linguists studying the communicative capacity of human language. However, entropy must typically be estimated from observed data because researchers do not have access to the underlying…

计算与语言 · 计算机科学 2022-04-06 Aryaman Arora , Clara Meister , Ryan Cotterell

The entropy rate of printed English is famously estimated to be about one bit per character, a benchmark that modern large language models (LLMs) have only recently approached. This entropy rate implies that English contains nearly 80…

计算与语言 · 计算机科学 2026-02-19 Weishun Zhong , Doron Sivan , Tankut Can , Mikhail Katkov , Misha Tsodyks

This paper introduces an objective metric for evaluating a parsing scheme. It is based on Shannon's original work with letter sequences, which can be extended to part-of-speech tag sequences. It is shown that this regular language is an…

cmp-lg · 计算机科学 2008-02-03 Caroline Lyon , Stephen Brown

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

We study the entropy of Chinese and English texts, based on characters in case of Chinese texts and based on words for both languages. Significant differences are found between the languages and between different personal styles of debating…

计算与语言 · 计算机科学 2017-01-17 R. R. Xie , W. B. Deng , D. J. Wang , L. P. Csernai

Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. In the field of communications, entropy can be used to express the information content of given…

信息论 · 计算机科学 2024-11-06 Bill Kay , Audun Myers , Thad Boydston , Emily Ellwein , Cameron Mackenzie , Iliana Alvarez , Erik Lentz

Contextual entropy is a psycholinguistic measure capturing the anticipated difficulty of processing a word just before it is encountered. Recent studies have tested for entropy-related effects as a potential complement to well-known effects…

计算与语言 · 计算机科学 2025-07-31 Christian Clark , Byung-Doh Oh , William Schuler

This paper addresses the problem of determining the distance between two regular languages. It will show how to expand Jaccard distance, which works on finite sets, to potentially-infinite regular languages. The entropy of a regular…

形式语言与自动机理论 · 计算机科学 2016-02-26 Austin J. Parker , Kelly B. Yancey , Matthew P. Yancey

We propose a compression-based version of the empirical entropy of a finite string over a finite alphabet. Whereas previously one considers the naked entropy of (possibly higher order) Markov processes, we consider the sum of the…

信息论 · 计算机科学 2011-04-05 Paul M. B. Vitányi

Calculating the Shannon entropy for symbolic sequences has been widely considered in many fields. For descriptive statistical problems such as estimating the N-gram entropy of English language text, a common approach is to use as much data…

信息论 · 计算机科学 2018-05-24 Andrew D. Back , Daniel Angus , Janet Wiles

The problem of Shannon entropy estimation in countable infinite alphabets is addressed from the study and use of convergence results of the entropy functional, which is known to be discontinuous with respect to the total variation distance…

信息论 · 计算机科学 2018-04-03 Jorge F. Silva

The translation of written language has been known since the 3rd century BC; however, its necessity has become increasingly common in the information age. Today, many translators exist, based on encoder-decoder deep architectures,…

计算与语言 · 计算机科学 2025-11-18 Ronit D. Gross , Yanir Harel , Ido Kanter

Entropy has been a common index to quantify the complexity of time series in a variety of fields. Here, we introduce increment entropy to measure the complexity of time series in which each increment is mapped into a word of two letters,…

数据分析、统计与概率 · 物理学 2016-01-20 Xiaofeng Liu , Aimin Jiang , Ning Xu , Jianru Xue

The problem addressed concerns the determination of the average number of successive attempts of guessing a word of a certain length consisting of letters with given probabilities of occurrence. Both first- and second-order approximations…

信息论 · 计算机科学 2015-06-19 Kerstin Andersson

Written language is complex. A written text can be considered an attempt to convey a meaningful message which ends up being constrained by language rules, context dependence and highly redundant in its use of resources. Despite all these…

计算与语言 · 计算机科学 2019-05-20 E. Estevez-Rams , A. Mesa Rodriguez , D. Estevez-Moya

We design, implement and test a simple algorithm which computes the approximate entropy of a finite binary string of arbitrary length. The algorithm uses a weighted average of the Shannon Entropies of the string and all but the last binary…

其他计算机科学 · 计算机科学 2013-09-17 Grenville J. Croll

This paper reports on results on the entropy of the Spanish language. They are based on an analysis of natural language for n-word symbols (n = 1 to 18), trigrams, digrams, and characters. The results obtained in this work are based on the…

计算与语言 · 计算机科学 2013-01-15 Fabio G. Guerrero

In Shannon's seminal paper, entropy of printed English, treated as a stationary stochastic process, was estimated to be roughly 1 bit per character. However, considered as a means of communication, language differs considerably from its…

计算与语言 · 计算机科学 2025-08-13 Doron Sivan , Misha Tsodyks

We introduce a method to measure uncertainty in large language models. For tasks like question answering, it is essential to know when we can trust the natural language outputs of foundation models. We show that measuring uncertainty in…

计算与语言 · 计算机科学 2023-04-18 Lorenz Kuhn , Yarin Gal , Sebastian Farquhar
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