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For multiple multivariate data sets, we derive conditions under which Generalized Canonical Correlation Analysis (GCCA) improves classification performance of the projected datasets, compared to standard Canonical Correlation Analysis (CCA)…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Ming Sun , Minh Tang , Carey E. Priebe

In this paper, we employ Singular Value Canonical Correlation Analysis (SVCCA) to analyze representations learnt in a multilingual end-to-end speech translation model trained over 22 languages. SVCCA enables us to estimate representational…

Computation and Language · Computer Science 2023-11-01 Haoran Sun , Xiaohu Zhao , Yikun Lei , Shaolin Zhu , Deyi Xiong

Unified representation learning for multi-source data integration faces two important challenges: blockwise missingness and blockwise signal heterogeneity. The former arises from sources observing different, yet potentially overlapping,…

Methodology · Statistics 2026-02-13 Ziqi Liu , Ye Tian , Weijing Tang

Combining complementary information from multiple modalities is intuitively appealing for improving the performance of learning-based approaches. However, it is challenging to fully leverage different modalities due to practical challenges…

Machine Learning · Statistics 2018-05-31 Kuan Liu , Yanen Li , Ning Xu , Prem Natarajan

We develop an approach to learning visual representations that embraces multimodal data, driven by a combination of intra- and inter-modal similarity preservation objectives. Unlike existing visual pre-training methods, which solve a proxy…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Xin Yuan , Zhe Lin , Jason Kuen , Jianming Zhang , Yilin Wang , Michael Maire , Ajinkya Kale , Baldo Faieta

To understand neural network behavior, recent works quantitatively compare different networks' learned representations using canonical correlation analysis (CCA), centered kernel alignment (CKA), and other dissimilarity measures.…

Machine Learning · Computer Science 2021-11-04 Frances Ding , Jean-Stanislas Denain , Jacob Steinhardt

By deriving influence functions related to multiple-set linear canonical analysis (MSLCA) we show that the classical version of this analysis, based on empirical covariance operators, is not robust. Then, we introduce a robust version of…

Statistics Theory · Mathematics 2018-11-08 Ulrich Djemby Bivigou , Guy Martial Nkiet

Cross-modal retrieval (CMR) typically involves learning common representations to directly measure similarities between multimodal samples. Most existing CMR methods commonly assume multimodal samples in pairs and employ joint training to…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Ruitao Pu , Yang Qin , Dezhong Peng , Xiaomin Song , Huiming Zheng

Multimodal Language Analysis is a demanding area of research, since it is associated with two requirements: combining different modalities and capturing temporal information. During the last years, several works have been proposed in the…

Computation and Language · Computer Science 2022-01-10 Panagiotis Koromilas , Theodoros Giannakopoulos

Self-supervised learning can be used for mitigating the greedy needs of Vision Transformer networks for very large fully-annotated datasets. Different classes of self-supervised learning offer representations with either good contextual…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Spyros Gidaris , Andrei Bursuc , Oriane Simeoni , Antonin Vobecky , Nikos Komodakis , Matthieu Cord , Patrick Pérez

Multimodal Learning Analytics (MMLA) leverages advanced sensing technologies and artificial intelligence to capture complex learning processes, but integrating diverse data sources into cohesive insights remains challenging. This study…

Machine Learning · Computer Science 2024-11-26 Lixiang Yan , Dragan Gašević , Linxuan Zhao , Vanessa Echeverria , Yueqiao Jin , Roberto Martinez-Maldonado

Recently, multi-view representation learning has become a rapidly growing direction in machine learning and data mining areas. This paper introduces two categories for multi-view representation learning: multi-view representation alignment…

Machine Learning · Computer Science 2018-10-25 Yingming Li , Ming Yang , Zhongfei Zhang

Given two views of data, we consider the problem of finding the features of one view which can be most faithfully inferred from the other. We find that these are also the most correlated variables in the sense of deep canonical correlation…

Machine Learning · Computer Science 2020-03-25 Cédric Bény

In this paper linear canonical correlation analysis (LCCA) is generalized by applying a structured transform to the joint probability distribution of the considered pair of random vectors, i.e., a transformation of the joint probability…

Methodology · Statistics 2015-06-03 Koby Todros , Alfred O. Hero

Multiple clustering has gathered significant attention in recent years due to its potential to reveal multiple hidden structures of the data from different perspectives. Most of multiple clustering methods first derive feature…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Jiawei Yao , Juhua Hu

Incorporating prior knowledge into a data-driven modeling problem can drastically improve performance, reliability, and generalization outside of the training sample. The stronger the structural properties, the more effective these…

Robotics · Computer Science 2023-11-20 Wooyoung Chung , Daniel Polani , Stas Tiomkin

In this paper we address the problem of matching sets of vectors embedded in the same input space. We propose an approach which is motivated by canonical correlation analysis (CCA), a statistical technique which has proven successful in a…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

Over the years, state-of-the-art (SoTA) image captioning methods have achieved promising results on some evaluation metrics (e.g., CIDEr). However, recent findings show that the captions generated by these methods tend to be biased toward…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Qi Chen , Chaorui Deng , Qi Wu

Common Representation Learning (CRL), wherein different descriptions (or views) of the data are embedded in a common subspace, is receiving a lot of attention recently. Two popular paradigms here are Canonical Correlation Analysis (CCA)…

Computation and Language · Computer Science 2015-10-13 Sarath Chandar , Mitesh M. Khapra , Hugo Larochelle , Balaraman Ravindran

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