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How many words (and which ones) are sufficient to define all other words? When dictionaries are analyzed as directed graphs with links from defining words to defined words, they reveal a latent structure. Recursively removing all words that…

Computation and Language · Computer Science 2016-01-25 Philippe Vincent-Lamarre , Alexandre Blondin Massé , Marcos Lopes , Mélanie Lord , Odile Marcotte , Stevan Harnad

A dictionary defines words in terms of other words. Definitions can tell you the meanings of words you don't know, but only if you know the meanings of the defining words. How many words do you need to know (and which ones) in order to be…

Computation and Language · Computer Science 2009-12-01 Olivier Picard , Alexandre Blondin-Masse , Stevan Harnad , Odile Marcotte , Guillaume Chicoisne , Yassine Gargouri

Meaning cannot be based on dictionary definitions all the way down: at some point the circularity of definitions must be broken in some way, by grounding the meanings of certain words in sensorimotor categories learned from experience or…

Computation and Language · Computer Science 2008-07-15 A. Blondin Masse , G. Chicoisne , Y. Gargouri , S. Harnad , O. Picard , O. Marcotte

We construct non-power words which have small image in SL(2; 22n) for each n. In particular, the corresponding word maps are non-surjective. We also use this to construct word maps whose values are precisely the identity and a single…

Group Theory · Mathematics 2012-06-07 Matthew Levy

We define two words in a language to be connected if they express similar concepts. The network of connections among the many thousands of words that make up a language is important not only for the study of the structure and evolution of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Adilson E. Motter , Alessandro P. S. de Moura , Ying-Cheng Lai , Partha Dasgupta

Dictionaries are inherently circular in nature. A given word is linked to a set of alternative words (the definition) which in turn point to further descendants. Iterating through definitions in this way, one typically finds that…

Computation and Language · Computer Science 2011-03-14 David Levary , Jean-Pierre Eckmann , Elisha Moses , Tsvi Tlusty

In this paper we argue that (lexical) meaning in science can be represented in a 13 dimension Meaning Space. This space is constructed using principal component analysis (singular decomposition) on the matrix of word category relative…

Computation and Language · Computer Science 2020-09-21 Neslihan Suzen , Alexander Gorban , Jeremy Levesley , Evgeny Mirkes

Sentences are important semantic units of natural language. A generic, distributional representation of sentences that can capture the latent semantics is beneficial to multiple downstream applications. We observe a simple geometry of…

Computation and Language · Computer Science 2017-04-19 Jiaqi Mu , Suma Bhat , Pramod Viswanath

Morpho-syntactic lexicons provide information about the morphological and syntactic roles of words in a language. Such lexicons are not available for all languages and even when available, their coverage can be limited. We present a…

Computation and Language · Computer Science 2016-01-26 Manaal Faruqui , Ryan McDonald , Radu Soricut

As text processing systems expand in scope, they will require ever larger lexicons along with a parsing capability for discriminating among many senses of a word. Existing systems do not incorporate such subtleties in meaning for their…

Computation and Language · Computer Science 2007-05-23 K. Litkowski

Dense word embeddings, which encode semantic meanings of words to low dimensional vector spaces have become very popular in natural language processing (NLP) research due to their state-of-the-art performances in many NLP tasks. Word…

Computation and Language · Computer Science 2018-07-20 Lutfi Kerem Senel , Ihsan Utlu , Veysel Yucesoy , Aykut Koc , Tolga Cukur

Finding a basis matrix (dictionary) by which objective signals are represented sparsely is of major relevance in various scientific and technological fields. We consider a problem to learn a dictionary from a set of training signals. We…

Disordered Systems and Neural Networks · Physics 2015-06-04 Ayaka Sakata , Yoshiyuki Kabashima

Natural language is characterized by compositionality: the meaning of a complex expression is constructed from the meanings of its constituent parts. To facilitate the evaluation of the compositional abilities of language processing…

Computation and Language · Computer Science 2020-10-13 Najoung Kim , Tal Linzen

The process of meaning composition, wherein smaller units like morphemes or words combine to form the meaning of phrases and sentences, is essential for human sentence comprehension. Despite extensive neurolinguistic research into the brain…

Computation and Language · Computer Science 2024-07-11 Changjiang Gao , Jixing Li , Jiajun Chen , Shujian Huang

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

How universal is human conceptual structure? The way concepts are organized in the human brain may reflect distinct features of cultural, historical, and environmental background in addition to properties universal to human cognition.…

A vocabulary is a list of words designating subsets from a grand set X. We model a vocabulary as a partition of X and study the aggregation of individual vocabularies into a collective one. We characterize aggregation rules when X is…

Theoretical Economics · Economics 2026-03-16 Marco LiCalzi , M. Alperen Yasar

At this point in time there is a need for a new representation of different information, to identify and organize descending its characteristics. Today, science is a powerful tool for the description of reality - the numbers. Why the most…

Computer Vision and Pattern Recognition · Computer Science 2011-10-14 Elena S. Vishnevskaya

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

Most language modeling methods rely on large-scale data to statistically learn the sequential patterns of words. In this paper, we argue that words are atomic language units but not necessarily atomic semantic units. Inspired by HowNet, we…

Computation and Language · Computer Science 2018-10-31 Yihong Gu , Jun Yan , Hao Zhu , Zhiyuan Liu , Ruobing Xie , Maosong Sun , Fen Lin , Leyu Lin
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