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The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

Optimization and Control · Mathematics 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

For over a century canonical correlations, variables, and related concepts have been studied across various fields, with contributions dating back to Jordan [1875] and Hotelling [1936]. This text surveys the evolution of canonical…

Methodology · Statistics 2025-11-07 Anna Bykhovskaya , Vadim Gorin

This paper addresses a fundamental problem of scene understanding: How to parse the scene image into a structured configuration (i.e., a semantic object hierarchy with object interaction relations) that finely accords with human perception.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Liang Lin , Guangrun Wang , Rui Zhang , Ruimao Zhang , Xiaodan Liang , Wangmeng Zuo

In classical canonical correlation analysis (CCA), the goal is to determine the linear transformations of two random vectors into two new random variables that are most strongly correlated. Canonical variables are pairs of these new random…

Methodology · Statistics 2025-10-24 Tomasz Górecki , Mirosław Krzyśko , Felix Gnettner , Piotr Kokoszka

Multimodal language analysis often considers relationships between features based on text and those based on acoustical and visual properties. Text features typically outperform non-text features in sentiment analysis or emotion recognition…

Machine Learning · Computer Science 2019-12-03 Zhongkai Sun , Prathusha Sarma , William Sethares , Yingyu Liang

Compositional vector space models of meaning promise new solutions to stubborn language understanding problems. This paper makes two contributions toward this end: (i) it uses automatically-extracted paraphrase examples as a source of…

Computation and Language · Computer Science 2018-02-01 Avneesh Saluja , Chris Dyer , Jean-David Ruvini

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

Machine Learning · Statistics 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

Recognizing visual entities in a natural language sentence and arranging them in a 2D spatial layout require a compositional understanding of language and space. This task of layout prediction is valuable in text-to-image synthesis as it…

Computation and Language · Computer Science 2024-12-03 Wolf Nuyts , Ruben Cartuyvels , Marie-Francine Moens

Canonical correlation analysis (CCA) describes the associations between two sets of variables by maximizing the correlation between linear combinations of the variables in each data set. However, in high-dimensional settings where the…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional…

Statistics Theory · Mathematics 2018-01-23 Zhuang Ma , Xiaodong Li

Massive data analysis calls for distributed algorithms and theories. We design a multi-round distributed algorithm for canonical correlation analysis. We construct principal directions through the convex formulation of canonical correlation…

Computation · Statistics 2024-12-24 Canyi Chen , Liping Zhu

Canonical correlation analysis (CCA) is a technique to find statistical dependencies between a pair of multivariate data. However, its application to high dimensional data is limited due to the resulting time complexity. While the…

Machine Learning · Computer Science 2020-12-29 Naoko Koide-Majima , Kei Majima

This paper describes an alignment-based model for interpreting natural language instructions in context. We approach instruction following as a search over plans, scoring sequences of actions conditioned on structured observations of text…

Computation and Language · Computer Science 2017-04-14 Jacob Andreas , Dan Klein

Finding relationships between multiple views of data is essential both for exploratory analysis and as pre-processing for predictive tasks. A prominent approach is to apply variants of Canonical Correlation Analysis (CCA), a classical…

Machine Learning · Statistics 2016-01-11 Ziyuan Lin , Jaakko Peltonen

Canonical correlation analysis (CCA) is a statistical learning method that seeks to build view-independent latent representations from multi-view data. This method has been successfully applied to several pattern analysis tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Hichem Sahbi

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

Machine Learning · Computer Science 2020-06-18 Benjamin Dutton

Typography and layout lead to the hierarchical organisation of text in words, text lines, paragraphs. This inherent structure is a key property of text in any script and language, which has nonetheless been minimally leveraged by existing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Lluis Gomez , Dimosthenis Karatzas

In this paper, we introduce a novel interpreting framework that learns an interpretable model based on an ontology-based sampling technique to explain agnostic prediction models. Different from existing approaches, our algorithm considers…

Machine Learning · Computer Science 2020-04-02 Phung Lai , NhatHai Phan , Han Hu , Anuja Badeti , David Newman , Dejing Dou