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For a given metric measure space $(X,d,\mu)$ we consider finite samples of points, calculate the matrix of distances between them and then reconstruct the points in some finite-dimensional space using the multidimensional scaling (MDS)…

Metric Geometry · Mathematics 2022-08-02 Alexey Kroshnin , Eugene Stepanov , Dario Trevisan

Large Language Models (LLMs) are a powerful tool for statistical text analysis, with derived sequences of next-token probability distributions offering a wealth of information. Extracting this signal typically relies on metrics such as…

The cognitive framework of conceptual spaces proposes to represent concepts as regions in psychological similarity spaces. These similarity spaces are typically obtained through multidimensional scaling (MDS), which converts human…

Machine Learning · Computer Science 2020-04-08 Lucas Bechberger , Kai-Uwe Kühnberger

Classical multidimensional scaling (MDS) is a method for visualizing high-dimensional point clouds by mapping to low-dimensional Euclidean space. This mapping is defined in terms of eigenfunctions of a matrix of interpoint dissimilarities.…

Applications · Statistics 2008-11-11 Persi Diaconis , Sharad Goel , Susan Holmes

Multi-document summarization (MDS) is an effective tool for information aggregation that generates an informative and concise summary from a cluster of topic-related documents. Our survey, the first of its kind, systematically overviews the…

Computation and Language · Computer Science 2021-12-10 Congbo Ma , Wei Emma Zhang , Mingyu Guo , Hu Wang , Quan Z. Sheng

Recent advances in large language models enable documents to be represented as dense semantic embeddings, supporting similarity-based operations over large text collections. However, many web-scale systems still rely on flat clustering or…

Computation and Language · Computer Science 2026-01-30 Thomas Haschka , Joseph Bakarji

Classical metric and non-metric multidimensional scaling (MDS) variants are widely known manifold learning (ML) methods which enable construction of low dimensional representation (projections) of high dimensional data inputs. However,…

Data Analysis, Statistics and Probability · Physics 2014-06-16 Denis Horvath , Jozef Ulicny , Branislav Brutovsky

Distributed representations of meaning are a natural way to encode covariance relationships between words and phrases in NLP. By overcoming data sparsity problems, as well as providing information about semantic relatedness which is not…

Computation and Language · Computer Science 2014-03-21 Karl Moritz Hermann , Phil Blunsom

Multidimensional scaling (MDS) is a class of projective algorithms traditionally used in Euclidean space to produce two- or three-dimensional visualizations of datasets of multidimensional points or point distances. More recently however,…

Machine Learning · Statistics 2016-02-15 Andrej Cvetkovski , Mark Crovella

Bayesian multidimensional scaling (BMDS) is a probabilistic dimension reduction tool that allows one to model and visualize data consisting of dissimilarities between pairs of objects. Although BMDS has proven useful within, e.g., Bayesian…

Methodology · Statistics 2025-05-23 Ami Sheth , Aaron Smith , Andrew J. Holbrook

Distributional semantics provides multi-dimensional, graded, empirically induced word representations that successfully capture many aspects of meaning in natural languages, as shown in a large body of work in computational linguistics;…

Computation and Language · Computer Science 2020-03-19 Gemma Boleda

Semantic map models (SMMs) construct a network-like conceptual space from cross-linguistic instances or forms, based on the connectivity hypothesis. This approach has been widely used to represent similarity and entailment relationships in…

Computation and Language · Computer Science 2025-04-01 Zhu Liu , Cunliang Kong , Ying Liu , Maosong Sun

Historical linguists have identified multiple forms of lexical semantic change. We present a three-dimensional framework for integrating these forms and a unified computational methodology for evaluating them concurrently. The dimensions…

Computation and Language · Computer Science 2024-06-11 Naomi Baes , Nick Haslam , Ekaterina Vylomova

Translations capture important information about languages that can be used as implicit supervision in learning linguistic properties and semantic representations. In an information-centric view, translated texts may be considered as…

Computation and Language · Computer Science 2018-02-02 Jörg Tiedemann

This paper introduces "Semantic Scaling," a novel method for ideal point estimation from text. I leverage large language models to classify documents based on their expressed stances and extract survey-like data. I then use item response…

Computation and Language · Computer Science 2024-05-07 Michael Burnham

A critical point of multi-document summarization (MDS) is to learn the relations among various documents. In this paper, we propose a novel abstractive MDS model, in which we represent multiple documents as a heterogeneous graph, taking…

Computation and Language · Computer Science 2021-10-22 Peng Cui , Le Hu

Language models (LMs) are machine learning models designed to predict linguistic patterns by estimating the probability of word sequences based on large-scale datasets, such as text. LMs have a wide range of applications in natural language…

In this article, we propose an automatic process to build multi-lingual lexico-semantic resources. The goal of these resources is to browse semantically textual information contained in texts of different languages. This method uses a…

Computation and Language · Computer Science 2009-01-27 Bernard Jacquemin , Sabine Ploux

The lack of generalization in learning-based autonomous driving applications is shown by the narrow range of road scenarios that vehicles can currently cover. A generalizable approach should capture many distinct road structures and…

Machine Learning · Computer Science 2025-04-25 Juan Carlos Climent Pardo

Graphs that capture relations between textual units have great benefits for detecting salient information from multiple documents and generating overall coherent summaries. In this paper, we develop a neural abstractive multi-document…

Computation and Language · Computer Science 2020-05-21 Wei Li , Xinyan Xiao , Jiachen Liu , Hua Wu , Haifeng Wang , Junping Du