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Canonical Correlation Analysis (CCA) has been widely applied to jointly embed multiple views of data in a maximally correlated latent space. However, the alignment between various data perspectives, which is required by traditional…

机器学习 · 计算机科学 2023-12-11 Biqian Cheng , Evangelos E. Papalexakis , Jia Chen

Generalized Canonical Correlation Analysis (GCCA) is an important tool that finds numerous applications in data mining, machine learning, and artificial intelligence. It aims at finding `common' random variables that are strongly correlated…

机器学习 · 计算机科学 2021-05-19 Mikael Sørensen , Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Canonical correlation analysis (CCA) has proven an effective tool for two-view dimension reduction due to its profound theoretical foundation and success in practical applications. In respect of multi-view learning, however, it is limited…

机器学习 · 统计学 2015-02-10 Yong Luo , Dacheng Tao , Yonggang Wen , Kotagiri Ramamohanarao , Chao Xu

This paper presents Deep Dynamic Probabilistic Canonical Correlation Analysis (D2PCCA), a model that integrates deep learning with probabilistic modeling to analyze nonlinear dynamical systems. Building on the probabilistic extensions of…

机器学习 · 计算机科学 2025-02-10 Shiqin Tang , Shujian Yu , Yining Dong , S. Joe Qin

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…

机器学习 · 统计学 2016-01-11 Ziyuan Lin , Jaakko Peltonen

We study the problem of acoustic feature learning in the setting where we have access to another (non-acoustic) modality for feature learning but not at test time. We use deep variational canonical correlation analysis (VCCA), a recently…

计算机视觉与模式识别 · 计算机科学 2017-09-01 Qingming Tang , Weiran Wang , Karen Livescu

Background: Canonical correlation analysis (CCA) is a classic statistical tool for investigating complex multivariate data. Correspondingly, it has found many diverse applications, ranging from molecular biology and medicine to social…

统计方法学 · 统计学 2019-01-14 Takoua Jendoubi , Korbinian Strimmer

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…

机器学习 · 计算机科学 2020-06-18 Benjamin Dutton

Clustering multi-view data has been a fundamental research topic in the computer vision community. It has been shown that a better accuracy can be achieved by integrating information of all the views than just using one view individually.…

计算机视觉与模式识别 · 计算机科学 2019-07-24 Ming Yin , Weitian Huang , Junbin Gao

Multi-view alignment, achieving one-to-one correspondence of multi-view inputs, is critical in many real-world multi-view applications, especially for cross-view data analysis problems. Recently, an increasing number of works study this…

机器学习 · 计算机科学 2020-05-26 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor W. Tsang

This paper presents a robust matrix elastic net based canonical correlation analysis (RMEN-CCA) for multiple view unsupervised learning problems, which emphasizes the combination of CCA and the robust matrix elastic net (RMEN) used as…

机器学习 · 计算机科学 2017-11-16 Peng-Bo Zhang , Zhi-Xin Yang

Generalized canonical correlation analysis (GCCA) aims at finding latent low-dimensional common structure from multiple views (feature vectors in different domains) of the same entities. Unlike principal component analysis (PCA) that…

机器学习 · 统计学 2017-08-02 Xiao Fu , Kejun Huang , Mingyi Hong , Nicholas D. Sidiropoulos , Anthony Man-Cho So

We present a novel multiview canonical correlation analysis model based on a variational approach. This is the first nonlinear model that takes into account the available graph-based geometric constraints while being scalable for processing…

机器学习 · 计算机科学 2021-10-05 Yacouba Kaloga , Pierre Borgnat , Sundeep Prabhakar Chepuri , Patrice Abry , Amaury Habrard

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

信号处理 · 电气工程与系统科学 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

Unsupervised two-view learning, or detection of dependencies between two paired data sets, is typically done by some variant of canonical correlation analysis (CCA). CCA searches for a linear projection for each view, such that the…

机器学习 · 统计学 2016-11-18 Leo Lahti , Samuel Myllykangas , Sakari Knuutila , Samuel Kaski

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…

机器学习 · 统计学 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

In many settings, we have multiple data sets (also called views) that capture different and overlapping aspects of the same phenomenon. We are often interested in finding patterns that are unique to one or to a subset of the views. For…

机器学习 · 计算机科学 2015-07-15 Rong Ge , James Zou

Integration of multi-omics data provides opportunities for revealing biological mechanisms related to certain phenotypes. We propose a novel method of multi-omics integration called supervised deep generalized canonical correlation analysis…

定量方法 · 定量生物学 2022-04-21 Jeongyoung Hwang , Sehwan Moon , Hyunju Lee

Classic and deep generalized canonical correlation analysis (GCCA) algorithms seek low-dimensional common representations of data entities from multiple ``views'' (e.g., audio and image) using linear transformations and neural networks,…

机器学习 · 计算机科学 2023-04-05 Sagar Shrestha , Xiao Fu

Many real-world applications involve data from multiple modalities and thus exhibit the view heterogeneity. For example, user modeling on social media might leverage both the topology of the underlying social network and the content of the…

机器学习 · 计算机科学 2021-02-16 Lecheng Zheng , Yu Cheng , Hongxia Yang , Nan Cao , Jingrui He