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  • 1
    Publication Date: 2018-03-26
    Print ISSN: 1387-3326
    Electronic ISSN: 1572-9419
    Topics: Computer Science
    Published by Springer
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Grammars 1 (1998), S. 155-165 
    ISSN: 1572-848X
    Keywords: complexity ; density ; regular languages
    Source: Springer Online Journal Archives 1860-2000
    Topics: Linguistics and Literary Studies , Computer Science
    Notes: Abstract From the perspective of the linguist, the theory of formal languages serves as an abstract model to address issues such as complexity, learnability, information content, etc. which are hard to investigate directly on natural languages. One question that has not been sufficiently addressed in the literature is to what extent can a result proved on an abstract model be presumed to hold for the concrete languages that are, after all, the real object of interest in linguistics. In this paper we attempt to remedy this defect by developing some figures of merit that measure how well a formal language approximates an actual language. We will review and refine some standard notions of mathematical density to arrive at a numerical figure that shows the degree to which one language approximates another, and show how such a figure can be computed between some formal languages and empirically measured between a real language and its formal model. In the concluding section of the paper we will argue that from the statistical perspective developed here even some classical results of mathematical linguistics, such as Chomsky's (1957) demonstration of the inadequacy of finite state models, are highly suspect.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Annals of mathematics and artificial intelligence 8 (1993), S. 37-46 
    ISSN: 1573-7470
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper presents a formalization of the common structure underlying different proposals concerning the geometry of phonological features. Using the concepts and tools of elementary set theory, lattice theory, and the theory of independent Boolean algebras, ametatheory of autosegmental feature structure is developed. This metatheory enables us to compare contemporary autosegmental phonology to the now abandoned “standard” phonology and to the historically important Pānini-type phonology as well, and to investigate the restrictions on the use of features in phonological theory.
    Type of Medium: Electronic Resource
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  • 4
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    Springer Nature | Springer
    Publication Date: 2024-04-14
    Description: This open access book introduces Vector semantics, which links the formal theory of word vectors to the cognitive theory of linguistics. The computational linguists and deep learning researchers who developed word vectors have relied primarily on the ever-increasing availability of large corpora and of computers with highly parallel GPU and TPU compute engines, and their focus is with endowing computers with natural language capabilities for practical applications such as machine translation or question answering. Cognitive linguists investigate natural language from the perspective of human cognition, the relation between language and thought, and questions about conceptual universals, relying primarily on in-depth investigation of language in use. In spite of the fact that these two schools both have ‘linguistics’ in their name, so far there has been very limited communication between them, as their historical origins, data collection methods, and conceptual apparatuses are quite different. Vector semantics bridges the gap by presenting a formal theory, cast in terms of linear polytopes, that generalizes both word vectors and conceptual structures, by treating each dictionary definition as an equation, and the entire lexicon as a set of equations mutually constraining all meanings.
    Keywords: Semantics ; Natural Language Processing ; Computational Linguistics ; Artificial Intelligence ; explainable AI ; Artificial Neural Nets ; lexical semantics ; word vectors ; embeddings ; dynamic embeddings ; algebraic semantic ; knowledge bases ; machine learning ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQL Natural language and machine translation ; thema EDItEUR::C Language and Linguistics::CF Linguistics::CFX Computational and corpus linguistics ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQM Machine learning ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQE Expert systems / knowledge-based systems ; thema EDItEUR::D Biography, Literature and Literary studies::D Biography, Literature and Literary studies::DS Literature: history and criticism
    Language: English
    Format: image/jpeg
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