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We introduce a technique based on the singular vector canonical correlation analysis (SVCCA) for measuring the generality of neural network layers across a continuously-parametrized set of tasks. We illustrate this method by studying…

机器学习 · 统计学 2018-07-03 Martin Magill , Faisal Qureshi , Hendrick W. de Haan

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

The extent to which different biological and artificial neural systems rely on equivalent internal representations to support similar tasks remains a central question in neuroscience and machine learning. Prior work typically compares…

计算机视觉与模式识别 · 计算机科学 2026-02-24 Jialin Wu , Shreya Saha , Yiqing Bo , Meenakshi Khosla

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

Canonical Correlation Analysis (CCA) is a widely used spectral technique for finding correlation structures in multi-view datasets. In this paper, we tackle the problem of large scale CCA, where classical algorithms, usually requiring…

机器学习 · 统计学 2015-06-29 Zhuang Ma , Yichao Lu , Dean Foster

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

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

统计方法学 · 统计学 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

Given two sets of variables, derived from a common set of samples, sparse Canonical Correlation Analysis (CCA) seeks linear combinations of a small number of variables in each set, such that the induced canonical variables are maximally…

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…

最优化与控制 · 数学 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

Deep neural networks need to make robust inference in the presence of occlusion, background clutter, pose and viewpoint variations -- to name a few -- when the task of person re-identification is considered. Attention mechanisms have…

计算机视觉与模式识别 · 计算机科学 2020-06-18 Jieming Zhou , Soumava Kumar Roy , Pengfei Fang , Mehrtash Harandi , Lars Petersson

A common approach in neuroscience is to study neural representations as a means to understand a system -- increasingly, by relating the neural representations to the internal representations learned by computational models. However, a…

神经元与认知 · 定量生物学 2025-08-14 Andrew Kyle Lampinen , Stephanie C. Y. Chan , Yuxuan Li , Katherine Hermann

We present a fast algorithm for approximate Canonical Correlation Analysis (CCA). Given a pair of tall-and-thin matrices, the proposed algorithm first employs a randomized dimensionality reduction transform to reduce the size of the input…

数据结构与算法 · 计算机科学 2013-05-03 Haim Avron , Christos Boutsidis , Sivan Toledo , Anastasios Zouzias

Canonical correlation analysis (CCA) is a valuable method for interpreting cross-covariance across related datasets of different dimensionality. There are many potential applications of CCA to neuroimaging data analysis. For instance, CCA…

定量方法 · 定量生物学 2015-03-06 Natalia Y. Bilenko , Jack L. Gallant

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies by finding maximally correlated embeddings of pairs of random variables. CA has found applications in fields ranging from…

机器学习 · 计算机科学 2020-07-01 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon

As convolutional neural networks (CNNs) become more accurate at object recognition, their representations become more similar to the primate visual system. This finding has inspired us and other researchers to ask if the implication also…

计算机视觉与模式识别 · 计算机科学 2022-09-07 Cassidy Pirlot , Richard C. Gerum , Cory Efird , Joel Zylberberg , Alona Fyshe

Model stitching (Lenc & Vedaldi 2015) is a compelling methodology to compare different neural network representations, because it allows us to measure to what degree they may be interchanged. We expand on a previous work from Bansal,…

机器学习 · 计算机科学 2023-09-04 Adriano Hernandez , Rumen Dangovski , Peter Y. Lu , Marin Soljacic

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…

机器学习 · 统计学 2019-02-22 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon

Canonical Correlation Analysis (CCA) is widely used for multimodal data analysis and, more recently, for discriminative tasks such as multi-view learning; however, it makes no use of class labels. Recent CCA methods have started to address…

机器学习 · 计算机科学 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and inference from multiple and massive…

机器学习 · 统计学 2012-09-18 Ming Sun , Carey E. Priebe , Minh Tang

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

机器学习 · 计算机科学 2022-12-13 Colin G. Cess , Stacey D. Finley