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Distributional semantics models derive word space from linguistic items in context. Meaning is obtained by defining a distance measure between vectors corresponding to lexical entities. Such vectors present several problems. In this paper…

Computation and Language · Computer Science 2017-12-25 Jakub Dutkiewicz , Czesław Jędrzejek

This paper reports on the state-of-the-art in application of multidimensional scaling (MDS) techniques to create semantic maps in linguistic research. MDS refers to a statistical technique that represents objects (lexical items, linguistic…

Computation and Language · Computer Science 2022-01-11 Martijn van der Klis , Jos Tellings

Today, with the emergence of semantic web technologies and increasing of information quantity, searching for information based on the semantic web has become a fertile area of research. For this reason, a large number of studies are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Noreddine Gherabi , Abdelhadi Daoui , Abderrahim Marzouk

We introduce a flexible framework that produces high-quality almost-exact matches for causal inference. Most prior work in matching uses ad-hoc distance metrics, often leading to poor quality matches, particularly when there are irrelevant…

Methodology · Statistics 2023-06-09 Harsh Parikh , Cynthia Rudin , Alexander Volfovsky

Learning a high-dimensional dense representation for vocabulary terms, also known as a word embedding, has recently attracted much attention in natural language processing and information retrieval tasks. The embedding vectors are typically…

Information Retrieval · Computer Science 2017-07-18 Hamed Zamani , W. Bruce Croft

Automata-logic connections are pillars of the theory of regular languages. Such connections are harder to obtain for transducers, but important results have been obtained recently for word-to-word transformations, showing that the three…

Formal Languages and Automata Theory · Computer Science 2016-06-02 Luc Dartois , Emmanuel Filiot , Pierre-Alain Reynier , Jean-Marc Talbot

In accessibility tests for digital preservation, over time we experience drifts of localized and labelled content in statistical models of evolving semantics represented as a vector field. This articulates the need to detect, measure,…

Computation and Language · Computer Science 2016-08-04 Sándor Darányi , Peter Wittek , Konstantinos Konstantinidis , Symeon Papadopoulos , Efstratios Kontopoulos

Inspired by the Kantorovich formulation of optimal transport distance between probability measures on a metric space, Gromov-Wasserstein (GW) distances comprise a family of metrics on the space of isomorphism classes of metric measure…

Metric Geometry · Mathematics 2024-10-07 Facundo Mémoli , Tom Needham

We investigate metric learning in the context of dynamic time warping (DTW), the by far most popular dissimilarity measure used for the comparison and analysis of motion capture data. While metric learning enables a problem-adapted…

Machine Learning · Computer Science 2019-03-13 Babak Hosseini , Barbara Hammer

Metric data plays an important role in various settings such as metric-based indexing, clustering, classification, and approximation algorithms in general. Due to measurement error, noise, or an inability to completely gather all the data,…

Computational Geometry · Computer Science 2018-07-24 Chenglin Fan , Benjamin Raichel , Gregory Van Buskirk

The following paper presents a method of comparing two sets of vectors. The method can be applied in all tasks, where it is necessary to measure the closeness of two objects presented as sets of vectors. It may be applicable when we compare…

Machine Learning · Computer Science 2019-08-30 Artem Artemov , Boris Alekseev

Transformer models learn to encode and decode an input text, and produce contextual token embeddings as a side-effect. The mapping from language into the embedding space maps words expressing similar concepts onto points that are close in…

Computation and Language · Computer Science 2025-09-03 Vivi Nastase , Paola Merlo

Dependency distance minimization (DDm) is a well-established principle of word order. It has been predicted theoretically that DDm implies compression, namely the minimization of word lengths. This is a second order prediction because it…

Computation and Language · Computer Science 2023-10-16 Ramon Ferrer-i-Cancho , Carlos Gómez-Rodríguez

Normalized web distance (NWD) is a similarity or normalized semantic distance based on the World Wide Web or another large electronic database, for instance Wikipedia, and a search engine that returns reliable aggregate page counts. For…

Information Retrieval · Computer Science 2020-07-24 Andrew R. Cohen , Paul M. B. Vitanyi

One of the most important problems in machine translation (MT) evaluation is to evaluate the similarity between translation hypotheses with different surface forms from the reference, especially at the segment level. We propose to use word…

Computation and Language · Computer Science 2017-04-04 Junki Matsuo , Mamoru Komachi , Katsuhito Sudoh

Cross-lingual semantic textual similarity systems estimate the degree of the meaning similarity between two sentences, each in a different language. State-of-the-art algorithms usually employ machine translation and combine vast amount of…

Computation and Language · Computer Science 2018-07-12 Tomáš Brychcín

One approach to matching texts from asymmetrical domains is projecting the input sequences into a common semantic space as feature vectors upon which the matching function can be readily defined and learned. In real-world matching…

Computation and Language · Computer Science 2020-10-20 Weijie Yu , Chen Xu , Jun Xu , Liang Pang , Xiaopeng Gao , Xiaozhao Wang , Ji-Rong Wen

We consider two natural statistics on pairs of histograms, in which the $n$ bins have weights $0, \ldots, n-1$. The difference ($\mathbf{D}$) between the weighted totals of the histograms is, in a sense, refined by the earth mover's…

Combinatorics · Mathematics 2023-02-14 William Q. Erickson

This short technical note presents a formal generalization of the Time Warp Edit Distance (TWED) proposed by Marteau (2009) to arbitrary metric spaces. By viewing both the observation and temporal domains as metric spaces $(X, d)$ and $(T,…

Information Retrieval · Computer Science 2026-01-12 Zhen Yi Lau

This paper presents a new approach for measuring semantic similarity/distance between words and concepts. It combines a lexical taxonomy structure with corpus statistical information so that the semantic distance between nodes in the…

cmp-lg · Computer Science 2008-02-03 Jay J. Jiang , David W. Conrath