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Recent advances in representation learning have emphasized the role of embedding geometry in capturing semantic structure. Traditional sentence embeddings typically reside in unconstrained Euclidean spaces, which may limit their ability to…

Computation and Language · Computer Science 2025-05-02 Vinit K. Chavan

Semantic word embeddings represent the meaning of a word via a vector, and are created by diverse methods. Many use nonlinear operations on co-occurrence statistics, and have hand-tuned hyperparameters and reweighting methods. This paper…

Machine Learning · Computer Science 2019-06-21 Sanjeev Arora , Yuanzhi Li , Yingyu Liang , Tengyu Ma , Andrej Risteski

Distributed language representation has become the most widely used technique for language representation in various natural language processing tasks. Most of the natural language processing models that are based on deep learning…

Computation and Language · Computer Science 2020-05-11 Martina Toshevska , Frosina Stojanovska , Jovan Kalajdjieski

Pre-trained word representations became a key component in many NLP tasks. However, the global geometry of the word embeddings remains poorly understood. In this paper, we demonstrate that a typical word embeddings cloud is shaped as a…

Computation and Language · Computer Science 2021-06-15 Alexey Tikhonov

Different word embedding models capture different aspects of linguistic properties. This inspired us to propose a model (M-MaxLSTM-CNN) for employing multiple sets of word embeddings for evaluating sentence similarity/relation. Representing…

Computation and Language · Computer Science 2018-05-22 Huy Nguyen Tien , Minh Nguyen Le , Yamasaki Tomohiro , Izuha Tatsuya

Word meaning has different aspects, while the existing word representation "compresses" these aspects into a single vector, and it needs further analysis to recover the information in different dimensions. Inspired by quantum probability,…

Computation and Language · Computer Science 2020-04-09 Shen Li , Renfen Hu , Jinshan Wu

We investigate compositional structures in data embeddings from pre-trained vision-language models (VLMs). Traditionally, compositionality has been associated with algebraic operations on embeddings of words from a pre-existing vocabulary.…

Machine Learning · Computer Science 2024-01-12 Matthew Trager , Pramuditha Perera , Luca Zancato , Alessandro Achille , Parminder Bhatia , Stefano Soatto

This paper takes a step towards theoretical analysis of the relationship between word embeddings and context embeddings in models such as word2vec. We start from basic probabilistic assumptions on the nature of word vectors, context…

Machine Learning · Statistics 2019-02-27 Zhenisbek Assylbekov , Rustem Takhanov

The words-as-classifiers model of grounded lexical semantics learns a semantic fitness score between physical entities and the words that are used to denote those entities. In this paper, we explore how such a model can incrementally…

Computation and Language · Computer Science 2019-11-11 Daniele Moro , Stacy Black , Casey Kennington

Vector-based word representations help countless Natural Language Processing (NLP) tasks capture the language's semantic and syntactic regularities. In this paper, we present the characteristics of existing word embedding approaches and…

Computation and Language · Computer Science 2024-03-05 Obaidullah Zaland , Muhammad Abulaish , Mohd. Fazil

We propose a novel graph visualization method leveraging random walk-based embeddings to replace costly graph-theoretical distance computations. Using word2vec-inspired embeddings, our approach captures both structural and semantic…

Computational Geometry · Computer Science 2025-09-23 Minglai Yang , Reyan Ahmed

Vector space models of words have long been claimed to capture linguistic regularities as simple vector translations, but problems have been raised with this claim. We decompose and empirically analyze the classic arithmetic word analogy…

Computation and Language · Computer Science 2020-10-08 Louis Fournier , Emmanuel Dupoux , Ewan Dunbar

We first observe a potential weakness of continuous vector representations of symbols in neural machine translation. That is, the continuous vector representation, or a word embedding vector, of a symbol encodes multiple dimensions of…

Computation and Language · Computer Science 2016-07-05 Heeyoul Choi , Kyunghyun Cho , Yoshua Bengio

Vector-space word representations obtained from neural network models have been shown to enable semantic operations based on vector arithmetic. In this paper, we explore the existence of similar information on vector representations of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 D. Garcia-Gasulla , J. Béjar , U. Cortés , E. Ayguadé , J. Labarta , T. Suzumura , R. Chen

We introduce a novel co-learning paradigm for manifolds naturally equipped with a group action, motivated by recent developments on learning a manifold from attached fibre bundle structures. We utilize a representation theoretic mechanism…

Machine Learning · Computer Science 2019-12-10 Yifeng Fan , Tingran Gao , Zhizhen Zhao

Matrix manifolds, such as manifolds of Symmetric Positive Definite (SPD) matrices and Grassmann manifolds, appear in many applications. Recently, by applying the theory of gyrogroups and gyrovector spaces that is a powerful framework for…

Machine Learning · Statistics 2023-06-06 Xuan Son Nguyen , Shuo Yang

In machine learning, data is usually represented in a (flat) Euclidean space where distances between points are along straight lines. Researchers have recently considered more exotic (non-Euclidean) Riemannian manifolds such as hyperbolic…

Machine Learning · Computer Science 2021-01-12 Marc T. Law , Jos Stam

Recent research in computational linguistics has developed algorithms which associate matrices with adjectives and verbs, based on the distribution of words in a corpus of text. These matrices are linear operators on a vector space of…

Computation and Language · Computer Science 2017-03-31 Dimitrios Kartsaklis , Sanjaye Ramgoolam , Mehrnoosh Sadrzadeh

Temporal word embeddings have been proposed to support the analysis of word meaning shifts during time and to study the evolution of languages. Different approaches have been proposed to generate vector representations of words that embed…

Computation and Language · Computer Science 2019-06-07 Valerio Di Carlo , Federico Bianchi , Matteo Palmonari

There have been some works that learn a lexicon together with the corpus to improve the word embeddings. However, they either model the lexicon separately but update the neural networks for both the corpus and the lexicon by the same…

Computation and Language · Computer Science 2017-07-25 Yuanzhi Ke , Masafumi Hagiwara