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These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

Rhetorical devices are difficult to translate, but they are crucial to the translation of literary documents. We investigate the use of multilingual embedding spaces to characterize the preservation of intertextuality, one common rhetorical…

Computation and Language · Computer Science 2025-01-22 Hope McGovern , Hale Sirin , Tom Lippincott

This paper proposes a new indicator of text structure, called the lexical cohesion profile (LCP), which locates segment boundaries in a text. A text segment is a coherent scene; the words in a segment are linked together via lexical…

cmp-lg · Computer Science 2008-02-03 Hideki Kozima

The representation space of pretrained Language Models (LMs) encodes rich information about words and their relationships (e.g., similarity, hypernymy, polysemy) as well as abstract semantic notions (e.g., intensity). In this paper, we…

Computation and Language · Computer Science 2023-06-02 Qing Lyu , Marianna Apidianaki , Chris Callison-Burch

High-dimensional representations for words, text, images, knowledge graphs and other structured data are commonly used in different paradigms of machine learning and data mining. These representations have different degrees of…

Computation and Language · Computer Science 2020-11-26 Sunipa Dev

Written language is complex. A written text can be considered an attempt to convey a meaningful message which ends up being constrained by language rules, context dependence and highly redundant in its use of resources. Despite all these…

Computation and Language · Computer Science 2019-05-20 E. Estevez-Rams , A. Mesa Rodriguez , D. Estevez-Moya

The subtleties of human perception, as measured by vision scientists through the use of psychophysics, are important clues to the internal workings of visual recognition. For instance, measured reaction time can indicate whether a visual…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Samuel Grieggs , Bingyu Shen , Greta Rauch , Pei Li , Jiaqi Ma , David Chiang , Brian Price , Walter J. Scheirer

The magnitude of a metric space is a novel invariant that provides a measure of the 'effective size' of a space across multiple scales, while also capturing numerous geometrical properties, such as curvature, density, or entropy. We develop…

Machine Learning · Computer Science 2025-01-16 Katharina Limbeck , Rayna Andreeva , Rik Sarkar , Bastian Rieck

Literary texts are usually rich in meanings and their interpretation complicates corpus studies and automatic processing. There have been several attempts to create collections of literary texts with annotation of literary elements like the…

Computation and Language · Computer Science 2021-11-16 Elena Mikhalkova , Timofei Protasov , Anastasiia Drozdova , Anastasiia Bashmakova , Polina Gavin

This chapter argues for more informed target metrics for the statistical processing of stylistic variation in text collections. Much as operationalised relevance proved a useful goal to strive for in information retrieval, research in…

Computation and Language · Computer Science 2022-05-11 Jussi Karlgren

We measured entropy and symbolic diversity for English and Spanish texts including literature Nobel laureates and other famous authors. Entropy, symbol diversity and symbol frequency profiles were compared for these four groups. We also…

Computation and Language · Computer Science 2017-01-17 Gerardo Febres , Klaus Jaffe

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent…

Artificial Intelligence · Computer Science 2017-12-08 Lucas Bechberger , Kai-Uwe Kühnberger

The Reception Reader is a web tool for studying text reuse in the Early English Books Online (EEBO-TCP) and Eighteenth Century Collections Online (ECCO) data. Users can: 1) explore a visual overview of the reception of a work, or its…

Digital Libraries · Computer Science 2023-04-20 David Rosson , Eetu Mäkelä , Ville Vaara , Ananth Mahadevan , Yann Ryan , Mikko Tolonen

Textual representations based on pre-trained language models are key, especially in few-shot learning scenarios. What makes a representation good for text classification? Is it due to the geometric properties of the space or because it is…

Computation and Language · Computer Science 2023-06-01 Cesar Gonzalez-Gutierrez , Audi Primadhanty , Francesco Cazzaro , Ariadna Quattoni

Intertextuality is a central tenet in literary studies. It refers to the intricate links between literary texts that are created by various types of references. This paper proposes a new quantitative model of intertextuality to enable…

Computation and Language · Computer Science 2025-09-10 Yi Xing

Large language models are increasingly being used to label or rate psychological features in text data. This approach helps address one of the limiting factors of digital trace data - their lack of an inherent target of measurement.…

Human-Computer Interaction · Computer Science 2024-10-15 Joseph J. P. Simons , Wong Liang Ze , Prasanta Bhattacharya , Brandon Siyuan Loh , Wei Gao

Readability assessment is the task of evaluating the reading difficulty of a given piece of text. Although research on computational approaches to readability assessment is now two decades old, there is not much work on synthesizing this…

Computation and Language · Computer Science 2022-04-21 Sowmya Vajjala

The history of text can be traced back over thousands of years. Rich and precise semantic information carried by text is important in a wide range of vision-based application scenarios. Therefore, text recognition in natural scenes has been…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Xiaoxue Chen , Lianwen Jin , Yuanzhi Zhu , Canjie Luo , Tianwei Wang

Witnesses of medieval literary texts, preserved in manuscript, are layered objects , being almost exclusively copies of copies. This results in multiple and hard to distinguish linguistic strata -- the author's scripta interacting with the…

Computation and Language · Computer Science 2018-02-06 Jean-Baptiste Camps

Recent studies comparing AI-generated and human-authored literary texts have produced conflicting results: some suggest AI already surpasses human quality, while others argue it still falls short. We start from the hypothesis that such…

Computation and Language · Computer Science 2025-06-05 Guillermo Marco , Julio Gonzalo , Víctor Fresno