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In this work, we investigate the relationship between $k$-repre\-sentable graphs and graphs representable by $k$-local words. In particular, we show that every graph representable by a $k$-local word is $(k+1)$-representable. A previous…

Combinatorics · Mathematics 2025-06-25 Philipp Böll , Pamela Fleischmann , Annika Huch , Jana Kreiß , Tim Löck , Kajus Park , Max Wiedenhöft

Metrically homogeneous graphs are connected graphs which, when endowed with the path metric, are homogeneous as metric spaces. In this paper we introduce the concept of twisted automorphisms, a notion of isomorphism up to a permutation of…

Logic · Mathematics 2018-02-05 Rebecca Coulson

Recently, graph neural networks (GNNs) have been widely used for document classification. However, most existing methods are based on static word co-occurrence graphs without sentence-level information, which poses three challenges:(1) word…

Computation and Language · Computer Science 2022-03-22 Yinhua Piao , Sangseon Lee , Dohoon Lee , Sun Kim

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

Human-Computer Interaction · Computer Science 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

The paper presents a linguistic and computational model aiming at making the morphological structure of the lexicon emerge from the formal and semantic regularities of the words it contains. The model is word-based. The proposed…

Computation and Language · Computer Science 2009-05-12 Nabil Hathout

A graph $G=(V,E)$ is word-representable if there exists a word $w$ over the alphabet $V$ such that letters $x$ and $y$ alternate in $w$ if and only if $(x,y)\in E$ for each $x\neq y$. The set of word-representable graphs generalizes several…

Combinatorics · Mathematics 2014-02-11 Andrew Collins , Sergey Kitaev , Vadim Lozin

There is increasing focus on analyzing data represented as hypergraphs, which are better able to express complex relationships amongst entities than are graphs. Much of the critical information about hypergraph structure is available only…

Data Structures and Algorithms · Computer Science 2023-07-24 Michael G. Rawson , Audun Myers , Robert Green , Michael Robinson , Cliff Joslyn

It has been reported that clustering-based topic models, which cluster high-quality sentence embeddings with an appropriate word selection method, can generate better topics than generative probabilistic topic models. However, these…

Computation and Language · Computer Science 2023-06-07 Leihang Zhang , Jiapeng Liu , Qiang Yan

Dealing with the complex word forms in morphologically rich languages is an open problem in language processing, and is particularly important in translation. In contrast to most modern neural systems of translation, which discard the…

Neural and Evolutionary Computing · Computer Science 2016-06-15 Ekaterina Vylomova , Trevor Cohn , Xuanli He , Gholamreza Haffari

We present a dataset of word usage graphs (WUGs), where the existing WUGs for multiple languages are enriched with cluster labels functioning as sense definitions. They are generated from scratch by fine-tuned encoder-decoder language…

Computation and Language · Computer Science 2024-03-28 Mariia Fedorova , Andrey Kutuzov , Nikolay Arefyev , Dominik Schlechtweg

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

How does knowledge of one language's morphology influence learning of inflection rules in a second one? In order to investigate this question in artificial neural network models, we perform experiments with a sequence-to-sequence…

Computation and Language · Computer Science 2019-10-15 Katharina Kann

Dictionary learning is a key tool for representation learning, that explains the data as linear combination of few basic elements. Yet, this analysis is not amenable in the context of graph learning, as graphs usually belong to different…

Machine Learning · Computer Science 2021-09-21 Cédric Vincent-Cuaz , Titouan Vayer , Rémi Flamary , Marco Corneli , Nicolas Courty

The representation of graphs is commonly based on the adjacency matrix concept. This formulation is the foundation of most algebraic and computational approaches to graph processing. The advent of deep learning language models offers a wide…

Artificial Intelligence · Computer Science 2025-12-16 Ezequiel Lopez-Rubio

Linguistic similarity is multi-faceted. For instance, two words may be similar with respect to semantics, syntax, or morphology inter alia. Continuous word-embeddings have been shown to capture most of these shades of similarity to some…

Computation and Language · Computer Science 2019-07-05 Ryan Cotterell , Hinrich Schütze

We explore inflectional morphology as an example of the relationship of the discrete and the continuous in linguistics. The grammar requests a form of a lexeme by specifying a set of feature values, which corresponds to a corner M of a…

Computation and Language · Computer Science 2017-03-14 John Goldsmith , Eric Rosen

We introduce Trans-gram, a simple and computationally-efficient method to simultaneously learn and align wordembeddings for a variety of languages, using only monolingual data and a smaller set of sentence-aligned data. We use our new…

Computation and Language · Computer Science 2016-01-12 Jocelyn Coulmance , Jean-Marc Marty , Guillaume Wenzek , Amine Benhalloum

Researchers have relegated natural language processing tasks to Transformer-type models, particularly generative models, because these models exhibit high versatility when performing generation and classification tasks. As the size of these…

Computation and Language · Computer Science 2025-04-04 Fabio Yáñez-Romero , Andrés Montoyo , Armando Suárez , Yoan Gutiérrez , Ruslan Mitkov

Learning word embeddings using distributional information is a task that has been studied by many researchers, and a lot of studies are reported in the literature. On the contrary, less studies were done for the case of multiple languages.…

Computation and Language · Computer Science 2020-04-15 Marco Berlot , Evan Kaplan

This work lists and describes the main recent strategies for building fixed-length, dense and distributed representations for words, based on the distributional hypothesis. These representations are now commonly called word embeddings and,…

Computation and Language · Computer Science 2023-05-03 Felipe Almeida , Geraldo Xexéo