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Ranked set sampling is a sampling design which has a wide range of applications in industrial statistics, and environmental and ecological studies, etc.. It is well known that ranked set samples provide more Fisher information than simple…

Statistics Theory · Mathematics 2013-01-21 Mohammad Jafari Jozani , Jafar Ahmadi

We present a method of automatically synthesizing steps to solve search problems. Given a specification of a search problem, our approach uses symbolic execution to analyze the specification in order to extract a set of constraints which…

Logic in Computer Science · Computer Science 2020-09-24 Mara Downing , Abtin Molavi , Lucas Bang

We describe and experimentally evaluate a method for automatically clustering words according to their distribution in particular syntactic contexts. Deterministic annealing is used to find lowest distortion sets of clusters. As the…

cmp-lg · Computer Science 2008-02-03 Fernando Pereira , Naftali Tishby , Lillian Lee

We consider the problem of inferring the probability distribution associated with a language, given data consisting of an infinite sequence of elements of the languge. We do this under two assumptions on the algorithms concerned: (i) like a…

Machine Learning · Computer Science 2014-07-16 Paul M. B. Vitanyi , Nick Chater

We study how the Shannon entropy of sequences produced by an information source converges to the source's entropy rate. We synthesize several phenomenological approaches to applying information theoretic measures of randomness and memory to…

Statistical Mechanics · Physics 2007-05-23 James P. Crutchfield , David P. Feldman

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

Shannon entropy is widely used to quantify the uncertainty of discrete random variables. But when normalized to the unit interval, as is often done in practice, it no longer conveys the alphabet sizes of the random variables being studied.…

Information Theory · Computer Science 2022-07-26 John Çamkıran

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

Statistical models of word-sense disambiguation are often based on a small number of contextual features or on a model that is assumed to characterize the interactions among a set of features. Model selection is presented as an alternative…

cmp-lg · Computer Science 2008-02-03 Ted Pedersen , Rebecca Bruce , Janyce Wiebe

We present a theoretical and empirical investigation of the statistical behaviour of the words in a text produced by human language. To this aim, we analyse the word distribution of various texts of Italian language selected from a specific…

Neurons and Cognition · Quantitative Biology 2025-04-15 Diederik Aerts , Jonito Aerts Arguëlles , Lester Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

Of basic interest is the quantification of the long term growth of a language's lexicon as it develops to more completely cover both a culture's communication requirements and knowledge space. Here, we explore the usage dynamics of words in…

Computation and Language · Computer Science 2017-03-27 Eitan Adam Pechenick , Christopher M. Danforth , Peter Sheridan Dodds

In this paper we try to model certain features of human language complexity by means of advanced concepts borrowed from statistical mechanics. We use a time series approach, the diffusion entropy method (DE), to compute the complexity of an…

Statistical Mechanics · Physics 2009-09-03 Paolo Allegrini , Paolo Grigolini , Luigi Palatella

The data for many classification problems, such as pattern and speech recognition, follow mixture distributions. To quantify the optimum performance for classification tasks, the Shannon mutual information is a natural information-theoretic…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yijun Ding , Amit Ashok

The exponential growth of data generated on the Internet in the current information age is a driving force for the digital economy. Extraction of information is the major value in an accumulated big data. Big data dependency on statistical…

Shannon Information theory has achieved great success in not only communication technology where it was originally developed for but also many other science and engineering fields such as machine learning and artificial intelligence.…

Computation and Language · Computer Science 2023-04-26 Arthur Jun Zhang

Text classification is the process of classifying documents into predefined categories based on their content. It is the automated assignment of natural language texts to predefined categories. Text classification is the primary requirement…

Information Retrieval · Computer Science 2010-09-28 S. M. Kamruzzaman , Farhana Haider , Ahmed Ryadh Hasan

In recent years, there has been an exponential growth in the number of complex documents and texts that require a deeper understanding of machine learning methods to be able to accurately classify texts in many applications. Many machine…

Machine Learning · Computer Science 2020-05-21 Kamran Kowsari , Kiana Jafari Meimandi , Mojtaba Heidarysafa , Sanjana Mendu , Laura E. Barnes , Donald E. Brown

Word sense disambiguation improves many Natural Language Processing (NLP) applications such as Information Retrieval, Information Extraction, Machine Translation, or Lexical Simplification. Roughly speaking, the aim is to choose for each…

Computation and Language · Computer Science 2017-03-01 Mokhtar Billami

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…

Computation and Language · Computer Science 2025-07-31 Christian Clark , Byung-Doh Oh , William Schuler