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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…

机器学习 · 计算机科学 2020-12-29 Naoko Koide-Majima , Kei Majima

Dynamical decoupling techniques constitute an integral part of many quantum sensing platforms, often leading to orders-of-magnitude improvements in coherence time and sensitivity. Most AC sensing sequences involve a periodic echo-like…

This article critically assesses the utility of the classical statistical technique of Canonical Correlation Analysis (CCA) for studying spatial associations and proposes a new approach to enhance it. Unlike bivariate correlation analysis,…

统计方法学 · 统计学 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

Canonical correlation analysis (CCA) is a classical and important multivariate technique for exploring the relationship between two sets of continuous variables. CCA has applications in many fields, such as genomics and neuroimaging. It can…

统计方法学 · 统计学 2020-05-12 Lin Qiu , Vernon M. Chinchilli

Canonical correlation analysis (CCA for short) describes the relationship between two sets of variables by finding some linear combinations of these variables that maximizing the correlation coefficient. However, in high-dimensional…

最优化与控制 · 数学 2020-03-23 Kangkang Deng , Zheng Peng

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

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

信息论 · 计算机科学 2015-06-05 Justin Ziniel , Philip Schniter

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

We address the problem of predicting a target ordinal variable based on observable features consisting of functional profiles. This problem is crucial, especially in decision-making driven by sensor systems, when the goal is to assess an…

Extracting meaningful latent representations from high-dimensional sequential data is a crucial challenge in machine learning, with applications spanning natural science and engineering. We introduce InfoDPCCA, a dynamic probabilistic…

机器学习 · 计算机科学 2025-06-11 Shiqin Tang , Shujian Yu

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…

Sparse Canonical Correlation Analysis (SCCA) is a fundamental statistical tool for identifying linear relationships in high-dimensional, multi-view data. While minimax theory establishes an optimal sample complexity scaling additively with…

信号处理 · 电气工程与系统科学 2026-04-21 Mengchu Xu , Jian Wang , Yonina C. Eldar

Current continuous sign language recognition (CSLR) methods struggle with handling diverse samples. Although dynamic convolutions are ideal for this task, they mainly focus on spatial modeling and fail to capture the temporal dynamics and…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Sheng Liu , Yiheng Yu , Yuan Feng , Min Xu , Zhelun Jin , Yining Jiang , Tiantian Yuan

Multivariate signal processing is often based on dimensionality reduction techniques. We propose a new method, Dynamical Component Analysis (DyCA), leading to a classification of the underlying dynamics and - for a certain type of dynamics…

信号处理 · 电气工程与系统科学 2019-03-19 Bastian Seifert , Katharina Korn , Steffen Hartmann , Christian Uhl

Medical time series data, such as EEG and ECG, are vital for diagnosing neurological and cardiovascular diseases. However, their precise interpretation faces significant challenges due to high annotation costs, leading to data scarcity, and…

机器学习 · 计算机科学 2026-01-13 Kaito Tanaka , Aya Nakayama , Masato Ito , Yuji Nishimura , Keisuke Matsuda

In brain-computer interface or neuroscience applications, generalized canonical correlation analysis (GCCA) is often used to extract correlated signal components in the neural activity of different subjects attending to the same stimulus.…

信号处理 · 电气工程与系统科学 2023-02-17 Simon Geirnaert , Tom Francart , Alexander Bertrand

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

机器学习 · 统计学 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

机器学习 · 计算机科学 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

We present deep variational canonical correlation analysis (VCCA), a deep multi-view learning model that extends the latent variable model interpretation of linear CCA to nonlinear observation models parameterized by deep neural networks.…

机器学习 · 计算机科学 2017-02-28 Weiran Wang , Xinchen Yan , Honglak Lee , Karen Livescu

Recently proposed automatic pathological speech detection approaches rely on spectrogram input representations or wav2vec2 embeddings. These representations may contain pathology irrelevant uncorrelated information, such as changing…

音频与语音处理 · 电气工程与系统科学 2024-09-27 Yacouba Kaloga , Shakeel A. Sheikh , Ina Kodrasi