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We use methods of the general theory of congruence and *congruence for complex matrices--regularization and cosquares-to determine a unitary congruence canonical form (respectively, a unitary *congruence canonical form) for complex matrices…

Representation Theory · Mathematics 2012-12-14 Roger A. Horn , Vladimir V. Sergeichuk

Ad hoc parsers are everywhere: they appear any time a string is split, looped over, interpreted, transformed, or otherwise processed. Every ad hoc parser gives rise to a language: the possibly infinite set of input strings that the program…

Software Engineering · Computer Science 2022-07-27 Michael Schröder , Jürgen Cito

A generate and test algorithm is described which parses a surface form into one or more lexical entries using linearly ordered phonological rules. This algorithm avoids the exponential expansion of search space which a naive parsing…

cmp-lg · Computer Science 2008-02-03 Michael Maxwell

The predominant challenge in weakly supervised semantic parsing is that of spurious programs that evaluate to correct answers for the wrong reasons. Prior work uses elaborate search strategies to mitigate the prevalence of spurious…

Computation and Language · Computer Science 2021-07-14 Nitish Gupta , Sameer Singh , Matt Gardner

We are concerned with dependency-oriented morphosyntactic parsing of running text. While a parsing grammar should avoid introducing structurally unresolvable distinctions in order to optimise on the accuracy of the parser, it also is…

cmp-lg · Computer Science 2008-02-03 Atro Voutilainen , Pasi Tapanainen

Different semantic interpretation tasks such as text entailment and question answering require the classification of semantic relations between terms or entities within text. However, in most cases it is not possible to assign a direct…

Computation and Language · Computer Science 2018-05-18 Siamak Barzegar , Andre Freitas , Siegfried Handschuh , Brian Davis

Sentences produced by abstractive summarization systems can be ungrammatical and fail to preserve the original meanings, despite being locally fluent. In this paper we propose to remedy this problem by jointly generating a sentence and its…

Computation and Language · Computer Science 2019-11-26 Kaiqiang Song , Logan Lebanoff , Qipeng Guo , Xipeng Qiu , Xiangyang Xue , Chen Li , Dong Yu , Fei Liu

In relatively free word order languages, grammatical functions are intricately related to case marking. Assuming an ordered representation of the predicate-argument structure, this work proposes a Combinatory Categorial Grammar formulation…

cmp-lg · Computer Science 2007-05-23 Cem Bozsahin

Semantic parsing, i.e., the automatic derivation of meaning representation such as an instantiated predicate-argument structure for a sentence, plays a critical role in deep processing of natural language. Unlike all other top systems of…

Computation and Language · Computer Science 2014-01-25 Hai Zhao , Xiaotian Zhang , Chunyu Kit

We present a metagrammatical formalism, {\em generic rules}, to give a default interpretation to grammar rules. Our formalism introduces a process of {\em dynamic binding} interfacing the level of pure grammatical knowledge representation…

cmp-lg · Computer Science 2008-02-03 Julio Gonzalo , Teresa Solias

In this paper, we describe an approach to sentence categorization which has the originality to be based on natural properties of languages with no training set dependency. The implementation is fast, small, robust and textual errors…

cmp-lg · Computer Science 2016-08-31 Emmanuel Giguet

We propose a new type of representation learning method that models words, phrases and sentences seamlessly. Our method does not depend on word segmentation and any human-annotated resources (e.g., word dictionaries), yet it is very…

Computation and Language · Computer Science 2019-05-30 Geewook Kim , Kazuki Fukui , Hidetoshi Shimodaira

We propose a generalization of Categorial Grammar in which lexical categories are defined by means of recursive constraints. In particular, the introduction of relational constraints allows one to capture the effects of (recursive) lexical…

cmp-lg · Computer Science 2008-02-03 Gosse Bouma , Gertjan van Noord

Inspired by how humans summarize long documents, we propose an accurate and fast summarization model that first selects salient sentences and then rewrites them abstractively (i.e., compresses and paraphrases) to generate a concise overall…

Computation and Language · Computer Science 2018-05-29 Yen-Chun Chen , Mohit Bansal

Human languages use a wide range of grammatical categories to constrain which words or phrases can fill certain slots in grammatical patterns and to express additional meanings, such as tense or aspect, through morpho-syntactic means. These…

Computation and Language · Computer Science 2022-04-22 Luc Steels , Paul Van Eecke , Katrien Beuls

Word embeddings are an essential component in a wide range of natural language processing applications. However, distributional semantic models are known to struggle when only a small number of context sentences are available. Several…

Computation and Language · Computer Science 2019-10-02 Jeroen Van Hautte , Guy Emerson , Marek Rei

Formal languages let us define the textual representation of data with precision. Formal grammars, typically in the form of BNF-like productions, describe the language syntax, which is then annotated for syntax-directed translation and…

Software Engineering · Computer Science 2015-03-19 Luis Quesada , Fernando Berzal , Juan-Carlos Cubero

Prefix parsing asks whether an input prefix can be extended to a complete string generated by a given grammar. In the weighted setting, it also provides prefix probabilities, which are central to context-free language modeling,…

Computation and Language · Computer Science 2026-05-05 Clemente Pasti , Andreas Opedal , Timothy J. O'Donnell , Ryan Cotterell , Tim Vieira

Categorical compositional distributional semantics is a model of natural language; it combines the statistical vector space models of words with the compositional models of grammar. We formalise in this model the generalised quantifier…

Computation and Language · Computer Science 2019-11-12 Jules Hedges , Mehrnoosh Sadrzadeh

Compositional vector space models of meaning promise new solutions to stubborn language understanding problems. This paper makes two contributions toward this end: (i) it uses automatically-extracted paraphrase examples as a source of…

Computation and Language · Computer Science 2018-02-01 Avneesh Saluja , Chris Dyer , Jean-David Ruvini