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Persistent Homology is a widely used topological data analysis tool that creates a concise description of the topological properties of a point cloud based on a specified filtration. Most filtrations used for persistent homology depend…

Algebraic Topology · Mathematics 2024-06-05 Vincent P. Grande , Michael T. Schaub

Ambiguity is ubiquitous in natural language. Resolving ambiguous meanings is especially important in information retrieval tasks. While word embeddings carry semantic information, they fail to handle ambiguity well. Transformer models have…

Computation and Language · Computer Science 2023-07-26 Matthias Thurnbauer , Johannes Reisinger , Christoph Goller , Andreas Fischer

Word clouds became a standard tool for presenting results of natural language processing methods such as topic modelling. They exhibit most important words, where word size is often chosen proportional to the relevance of words within a…

Computation · Statistics 2023-02-14 Peter Winker

Sentence embedding techniques aim to encode key concepts of a sentence's meaning in a vector space. However, the majority of evaluation approaches for sentence embedding quality rely on the use of additional classifiers or downstream tasks.…

Computation and Language · Computer Science 2026-04-24 Paul Keuren , Marc Ponsen , Robert Ayoub Bagheri

Distributed representations of words have been shown to capture lexical semantics, as demonstrated by their effectiveness in word similarity and analogical relation tasks. But, these tasks only evaluate lexical semantics indirectly. In this…

Computation and Language · Computer Science 2016-12-02 Thanapon Noraset , Chen Liang , Larry Birnbaum , Doug Downey

Measuring meaning is a central problem in cultural sociology and word embeddings may offer powerful new tools to do so. But like any tool, they build on and exert theoretical assumptions. In this paper I theorize the ways in which word…

Computation and Language · Computer Science 2021-07-23 Alina Arseniev-Koehler

Word embeddings capture semantic relationships based on contextual information and are the basis for a wide variety of natural language processing applications. Notably these relationships are solely learned from the data and subsequently…

Computation and Language · Computer Science 2020-01-15 Stephanie Brandl , David Lassner , Maximilian Alber

In this paper we present a deep learning architecture for extracting word embeddings for visual speech recognition. The embeddings summarize the information of the mouth region that is relevant to the problem of word recognition, while…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Themos Stafylakis , Georgios Tzimiropoulos

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing…

Methodology · Statistics 2017-12-27 Chul Moon , Noah Giansiracusa , Nicole A. Lazar

Neural embeddings are a popular set of methods for representing words, phrases or text as a low dimensional vector (typically 50-500 dimensions). However, it is difficult to interpret these dimensions in a meaningful manner, and creating…

Computation and Language · Computer Science 2018-01-10 Neil R. Smalheiser , Gary Bonifield

Topic models aim to reveal latent structures within a corpus of text, typically through the use of term-frequency statistics over bag-of-words representations from documents. In recent years, conceptual entities -- interpretable,…

Computation and Language · Computer Science 2024-08-27 Manuel V. Loureiro , Steven Derby , Tri Kurniawan Wijaya

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

Word vector representations are central to deep learning natural language processing models. Many forms of these vectors, known as embeddings, exist, including word2vec and GloVe. Embeddings are trained on large corpora and learn the word's…

Computation and Language · Computer Science 2020-07-16 Salvador E. Barbosa

Word embeddings use vectors to represent words such that the geometry between vectors captures semantic relationship between the words. In this paper, we develop a framework to demonstrate how the temporal dynamics of the embedding can be…

Computation and Language · Computer Science 2018-06-20 Nikhil Garg , Londa Schiebinger , Dan Jurafsky , James Zou

Word embeddings represent a transformative technology for analyzing text data in social work research, offering sophisticated tools for understanding case notes, policy documents, research literature, and other text-based materials. This…

Computation and Language · Computer Science 2024-11-12 Brian E. Perron , Kelley A. Rivenburgh , Bryan G. Victor , Zia Qi , Hui Luan

We propose a geometric framework for learning meta-embeddings of words from different embedding sources. Our framework transforms the embeddings into a common latent space, where, for example, simple averaging of different embeddings (of a…

Computation and Language · Computer Science 2020-04-21 Pratik Jawanpuria , N T V Satya Dev , Anoop Kunchukuttan , Bamdev Mishra

Continuous vector representations of words and objects appear to carry surprisingly rich semantic content. In this paper, we advance both the conceptual and theoretical understanding of word embeddings in three ways. First, we ground…

Computation and Language · Computer Science 2015-09-22 Tatsunori B. Hashimoto , David Alvarez-Melis , Tommi S. Jaakkola

Recent research has extensively studied how large language models manipulate integers in specific arithmetic tasks, and on a more fundamental level, how they represent numeric values. These previous works have found that language model…

Artificial Intelligence · Computer Science 2025-10-10 Alex O. Davies , Roussel Nzoyem , Nirav Ajmeri , Telmo M. Silva Filho

Studying how embeddings are organized in space not only enhances model interpretability but also uncovers factors that drive downstream task performance. In this paper, we present a comprehensive analysis of topological and geometric…

Machine Learning · Computer Science 2025-12-02 Florian Rottach , William Rudman , Bastian Rieck , Harrisen Scells , Carsten Eickhoff

Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub