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We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging…

Statistical Mechanics · Physics 2009-11-07 David P. Feldman , James P. Crutchfield

The ability to monitor the evolution of topics over time is extremely valuable for businesses. Currently, all existing topic tracking methods use lexical information by matching word usage. However, no studies has ever experimented with the…

Computation and Language · Computer Science 2023-01-03 Judicael Poumay , Ashwin Ittoo

Feature modeling of different modalities is a basic problem in current research of cross-modal information retrieval. Existing models typically project texts and images into one embedding space, in which semantically similar information…

Multimedia · Computer Science 2019-06-13 Jing Yu , Chenghao Yang , Zengchang Qin , Zhuoqian Yang , Yue Hu , Weifeng Zhang

High-order phenomena play crucial roles in many systems of interest, but their analysis is often highly nontrivial. There is a rich literature providing a number of alternative information-theoretic quantities capturing high-order…

Information Theory · Computer Science 2024-10-15 Fernando E. Rosas , Aaron Gutknecht , Pedro A. M. Mediano , Michael Gastpar

Reasoning about implied relationships (e.g., paraphrastic, common sense, encyclopedic) between pairs of words is crucial for many cross-sentence inference problems. This paper proposes new methods for learning and using embeddings of word…

Computation and Language · Computer Science 2019-04-09 Mandar Joshi , Eunsol Choi , Omer Levy , Daniel S. Weld , Luke Zettlemoyer

To extract essential information from complex data, computer scientists have been developing machine learning models that learn low-dimensional representation mode. From such advances in machine learning research, not only computer…

Artificial Intelligence · Computer Science 2024-06-18 Akira Matsui , Emilio Ferrara

Establishing semantic correspondence is a challenging task in computer vision, aiming to match keypoints with the same semantic information across different images. Benefiting from the rapid development of deep learning, remarkable progress…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Kaiyan Zhang , Xinghui Li , Jingyi Lu , Kai Han

We present a clustering-based language model using word embeddings for text readability prediction. Presumably, an Euclidean semantic space hypothesis holds true for word embeddings whose training is done by observing word co-occurrences.…

Computation and Language · Computer Science 2017-09-07 Miriam Cha , Youngjune Gwon , H. T. Kung

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies. CA has found applications in fields ranging from epidemiology to social sciences. However, current methods used to perform CA…

Machine Learning · Statistics 2019-02-22 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon

Detecting events and their evolution through time is a crucial task in natural language understanding. Recent neural approaches to event temporal relation extraction typically map events to embeddings in the Euclidean space and train a…

Computation and Language · Computer Science 2024-06-11 Xingwei Tan , Gabriele Pergola , Yulan He

Using the frequency of keywords is a classic approach in the formal analysis of text, but has the drawback of glossing over the relationality of word meanings. Word embedding models overcome this problem by constructing a standardized and…

Computers and Society · Computer Science 2021-05-05 Dustin S. Stoltz , Marshall A. Taylor

Meaning can be generated when information is related at a systemic level. Such a system can be an observer, but also a discourse, for example, operationalized as a set of documents. The measurement of semantics as similarity in patterns…

Computation and Language · Computer Science 2011-02-01 Loet Leydesdorff , Kasper Welbers

We address the problem of estimating topological features from data in high dimensional Euclidean spaces under the manifold assumption. Our approach is based on the computation of persistent homology of the space of data points endowed with…

Machine Learning · Statistics 2023-01-23 Ximena Fernández , Eugenio Borghini , Gabriel Mindlin , Pablo Groisman

We present a deep learning framework for accurate visual correspondences and demonstrate its effectiveness for both geometric and semantic matching, spanning across rigid motions to intra-class shape or appearance variations. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Christopher B. Choy , JunYoung Gwak , Silvio Savarese , Manmohan Chandraker

Data clustering, the task of grouping observations according to their similarity, is a key component of unsupervised learning -- with real world applications in diverse fields such as biology, medicine, and social science. Often in these…

Machine Learning · Computer Science 2023-09-20 Anne Sophie Riis Damstrup , Sofie Tosti Madsen , Michele Coscia

As immersive analytics continues to grow as a discipline, so too should its underlying methodological support. Taxonomies play an important role for information visualization and human computer interaction. They provide an organization of…

Human-Computer Interaction · Computer Science 2020-05-14 David Saffo , Sara Di Bartolomeo , Caglar Yildirim , Cody Dunne

We begin with pervasive ultrametricity due to high dimensionality and/or spatial sparsity. How extent or degree of ultrametricity can be quantified leads us to the discussion of varied practical cases when ultrametricity can be partially or…

Statistics Theory · Mathematics 2011-01-11 Fionn Murtagh

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

We propose a novel framework for finding correspondences in images based on a deep neural network that, given two images and a query point in one of them, finds its correspondence in the other. By doing so, one has the option to query only…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Wei Jiang , Eduard Trulls , Jan Hosang , Andrea Tagliasacchi , Kwang Moo Yi

Distributional models provide a convenient way to model semantics using dense embedding spaces derived from unsupervised learning algorithms. However, the dimensions of dense embedding spaces are not designed to resemble human semantic…

Computation and Language · Computer Science 2018-11-15 Steven Derby , Paul Miller , Brian Murphy , Barry Devereux