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Word embeddings are a popular way to improve downstream performances in contemporary language modeling. However, the underlying geometric structure of the embedding space is not well understood. We present a series of explorations using…

Computation and Language · Computer Science 2020-09-17 Hongwei , Zhou , Oskar Elek , Pranav Anand , Angus G. Forbes

The geometric evolution of token representations in large language models (LLMs) presents a fundamental paradox: while human language inherently organizes semantic information in low-dimensional spaces ($\sim 10^1$ dimensions), modern LLMs…

Computation and Language · Computer Science 2025-03-31 Zhuo-Yang Song , Zeyu Li , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

Language models (LMs) automatically learn word embeddings during pre-training on language corpora. Although word embeddings are usually interpreted as feature vectors for individual words, their roles in language model generation remain…

Computation and Language · Computer Science 2024-06-07 Chi Han , Jialiang Xu , Manling Li , Yi Fung , Chenkai Sun , Nan Jiang , Tarek Abdelzaher , Heng Ji

This paper introduces embComp, a novel approach for comparing two embeddings that capture the similarity between objects, such as word and document embeddings. We survey scenarios where comparing these embedding spaces is useful. From those…

Human-Computer Interaction · Computer Science 2021-06-03 Florian Heimerl , Christoph Kralj , Torsten Möller , Michael Gleicher

Distributed word embeddings have shown superior performances in numerous Natural Language Processing (NLP) tasks. However, their performances vary significantly across different tasks, implying that the word embeddings learnt by those…

Computation and Language · Computer Science 2017-09-21 Danushka Bollegala , Kohei Hayashi , Ken-ichi Kawarabayashi

Multilingual large language models (LLMs) seem to generalize somewhat across languages. We hypothesize this is a result of implicit vector space alignment. Evaluating such alignment, we see that larger models exhibit very high-quality…

Computation and Language · Computer Science 2024-10-03 Qiwei Peng , Anders Søgaard

Analysis of word embedding properties to inform their use in downstream NLP tasks has largely been studied by assessing nearest neighbors. However, geometric properties of the continuous feature space contribute directly to the use of…

Computation and Language · Computer Science 2019-04-11 Brendan Whitaker , Denis Newman-Griffis , Aparajita Haldar , Hakan Ferhatosmanoglu , Eric Fosler-Lussier

To what extent can neural network models learn generalizations about language structure, and how do we find out what they have learned? We explore these questions by training neural models for a range of natural language processing tasks on…

Computation and Language · Computer Science 2023-01-20 Robert Östling , Murathan Kurfalı

Recent work has found that neural networks with stronger generalization tend to exhibit higher representational alignment with one another across architectures and training paradigms. In this work, we show that models with stronger…

Machine Learning · Computer Science 2026-02-02 Junjie Yu , Wenxiao Ma , Chen Wei , Jianyu Zhang , Haotian Deng , Zihan Deng , Quanying Liu

Large language models use high-dimensional latent spaces to encode and process textual information. Much work has investigated how the conceptual content of words translates into geometrical relationships between their vector…

Computation and Language · Computer Science 2025-05-26 Raphaël Sarfati , Haley Moller , Toni J. B. Liu , Nicolas Boullé , Christopher Earls

Representing token embeddings as probability distributions over learned manifolds allows for more flexible contextual inference, reducing representational rigidity while enhancing semantic granularity. Comparative evaluations demonstrate…

Computation and Language · Computer Science 2025-04-25 Christopher Nightingale , Dominic Lavington , Jonathan Thistlethwaite , Sebastian Penhaligon , Thomas Belinski , David Boldo

Word embeddings have recently been shown to reflect many of the pronounced societal biases (e.g., gender bias or racial bias). Existing studies are, however, limited in scope and do not investigate the consistency of biases across relevant…

Computation and Language · Computer Science 2019-04-30 Anne Lauscher , Goran Glavaš

Using a vocabulary that is shared across languages is common practice in Multilingual Neural Machine Translation (MNMT). In addition to its simple design, shared tokens play an important role in positive knowledge transfer, assuming that…

Computation and Language · Computer Science 2024-01-23 Di Wu , Christof Monz

Visual-language models (VLMs) have recently been introduced in robotic mapping using the latent representations, i.e., embeddings, of the VLMs to represent semantics in the map. They allow moving from a limited set of human-created labels…

Robotics · Computer Science 2025-09-23 Matti Pekkanen , Tsvetomila Mihaylova , Francesco Verdoja , Ville Kyrki

Large language models encode the correlational structure present in natural language by fitting segments of utterances (tokens) into a high dimensional ambient latent space upon which the models then operate. We assert that in order to…

Differential Geometry · Mathematics 2024-10-14 Michael Robinson , Sourya Dey , Shauna Sweet

Do architectural differences significantly affect the way models represent and process language? We propose a new approach, based on metric-learning encoding models (MLEMs), as a first step to answer this question. The approach provides a…

Computation and Language · Computer Science 2024-06-25 Jeanne Salle , Louis Jalouzot , Nur Lan , Emmanuel Chemla , Yair Lakretz

Recent large language models (LLMs) have demonstrated exceptional performance on general-purpose text embedding tasks. While dense embeddings have dominated related research, we introduce the first lexicon-based embeddings (LENS) leveraging…

Computation and Language · Computer Science 2026-03-20 Yibin Lei , Tao Shen , Yu Cao , Andrew Yates

Pre-trained word embeddings are widely used for transfer learning in natural language processing. The embeddings are continuous and distributed representations of the words that preserve their similarities in compact Euclidean spaces.…

Computation and Language · Computer Science 2020-06-25 Halid Ziya Yerebakan , Parmeet Bhatia , Yoshihisa Shinagawa

In this study, we measure the Intrinsic Dimension (ID) of token embedding to estimate the intrinsic dimensions of the manifolds spanned by the representations, so as to evaluate their redundancy quantitatively compared to their extrinsic…

Computation and Language · Computer Science 2025-03-05 Takuya Kataiwa , Cho Hakaze , Tetsushi Ohki

Text embeddings from large language models (LLMs) have achieved excellent results in tasks such as information retrieval, semantic textual similarity, etc. In this work, we show an interesting finding: when feeding a text into the LLM-based…

Computation and Language · Computer Science 2025-07-08 Zhijie Nie , Richong Zhang , Zhanyu Wu