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Traditionally, knot theorists have considered projections of knots where there are two strands meeting at every crossing. A multi-crossing is a crossing where more than two strands meet at a single point, such that each strand bisects the…

Geometric Topology · Mathematics 2018-05-14 Daishiro Nishida

The search for linguistic patterns, stylometry and forensic linguistics have in the theory of complex networks, their structures and associated mathematical tools, allies with which to model and analyze texts. In this paper we present a new…

Combinatorics · Mathematics 2022-09-14 Angeles Criado-Alonso , David Aleja , Miguel Romance , Regino Criado

We consider questions related to the existence of spanning trees in graphs with the property that after the removal of any path in the tree the graph remains connected. We show that, for planar graphs, the existence of trees with this…

Combinatorics · Mathematics 2019-04-29 Cristina G. Fernandes , César Hernández-Vélez , Orlando Lee , José C. de Pina

Natural languages are described in this paper in terms of networks of synonyms: a word is identified with a node, and synonyms are connected by undirected links. Our statistical analysis of the network of synonyms in Polish language showed…

Physics and Society · Physics 2008-02-29 Hanna E. Makaruk , Robert Owczarek

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

Iterated hairpin completion is an operation on formal languages that is inspired by the hairpin formation in DNA biochemistry. Iterated hairpin completion of a word (or more precisely a singleton language) is always a context-sensitive…

Formal Languages and Automata Theory · Computer Science 2011-10-05 Lila Kari , Steffen Kopecki , Shinnosuke Seki

We propose a sentence-level language model which selects the next sentence in a story from a finite set of fluent alternatives. Since it does not need to model fluency, the sentence-level language model can focus on longer range…

Computation and Language · Computer Science 2020-05-12 Daphne Ippolito , David Grangier , Douglas Eck , Chris Callison-Burch

After presenting a novel O(n^3) parsing algorithm for dependency grammar, we develop three contrasting ways to stochasticize it. We propose (a) a lexical affinity model where words struggle to modify each other, (b) a sense tagging model…

cmp-lg · Computer Science 2008-02-06 Jason Eisner

We present a trainable model for identifying sentence boundaries in raw text. Given a corpus annotated with sentence boundaries, our model learns to classify each occurrence of ., ?, and ! as either a valid or invalid sentence boundary. The…

cmp-lg · Computer Science 2008-02-03 Jeffrey C. Reynar , Adwait Ratnaparkhi

Large-scale datasets for natural language inference are created by presenting crowd workers with a sentence (premise), and asking them to generate three new sentences (hypotheses) that it entails, contradicts, or is logically neutral with…

Computation and Language · Computer Science 2018-04-18 Suchin Gururangan , Swabha Swayamdipta , Omer Levy , Roy Schwartz , Samuel R. Bowman , Noah A. Smith

We introduce a novel architecture for dependency parsing: \emph{stack-pointer networks} (\textbf{\textsc{StackPtr}}). Combining pointer networks~\citep{vinyals2015pointer} with an internal stack, the proposed model first reads and encodes…

Computation and Language · Computer Science 2018-05-04 Xuezhe Ma , Zecong Hu , Jingzhou Liu , Nanyun Peng , Graham Neubig , Eduard Hovy

We aim to provide an explanation for how the human brain might connect words for sentence formation. A novel approach to modeling syntactic representation is introduced, potentially showing the existence of universal syntactic structures…

Computation and Language · Computer Science 2024-02-06 Min K. Kim , Hafu Takero , Sara Fedovik

We show that the crossing number of any link that is known to be quasi-alternating is less than or equal to its determinant. Based on this, we conjecture that the crossing number of any quasi-alternating link is less than or equal to its…

Geometric Topology · Mathematics 2012-05-22 Khaled Qazaqzeh , Balkees Qublan , Abeer Jaradat

We investigate some basic questions about the interaction of regular and rational relations on words. The primary motivation comes from the study of logics for querying graph topology, which have recently found numerous applications. Such…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Pablo Barcelo , Diego Figueira , Leonid Libkin

We release Galactic Dependencies 1.0---a large set of synthetic languages not found on Earth, but annotated in Universal Dependencies format. This new resource aims to provide training and development data for NLP methods that aim to adapt…

Computation and Language · Computer Science 2017-10-12 Dingquan Wang , Jason Eisner

Short cycles connectivity is a generalization of ordinary connectivity. Instead by a path (sequence of edges), two vertices have to be connected by a sequence of short cycles, in which two adjacent cycles have at least one common vertex. If…

Data Structures and Algorithms · Computer Science 2013-01-22 V. Batagelj , M. Zaversnik

In this thesis, we try to build a connection between the two schools by introducing syntactic inductive biases for deep learning models. We propose two families of inductive biases, one for constituency structure and another one for…

Machine Learning · Computer Science 2022-06-13 Yikang Shen

It is proved that the rectilinear crossing number of every graph with bounded tree-width and bounded degree is linear in the number of vertices. **** This paper has been withdrawn by the author. **** The results have been superseeded by the…

Combinatorics · Mathematics 2007-05-23 David R. Wood

A range of studies have concluded that neural word prediction models can distinguish grammatical from ungrammatical sentences with high accuracy. However, these studies are based primarily on monolingual evidence from English. To…

Computation and Language · Computer Science 2020-05-22 Aaron Mueller , Garrett Nicolai , Panayiota Petrou-Zeniou , Natalia Talmina , Tal Linzen

Detecting semantic arguments of a predicate word has been conventionally modeled as a sentence-level task. The typical reader, however, perfectly interprets predicate-argument relations in a much wider context than just the sentence where…

Computation and Language · Computer Science 2024-08-09 Paul Roit , Aviv Slobodkin , Eran Hirsch , Arie Cattan , Ayal Klein , Valentina Pyatkin , Ido Dagan
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