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Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

机器学习 · 计算机科学 2016-03-01 Weiran Wang , Karen Livescu

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

人工智能 · 计算机科学 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

Describing the dimension reduction (DR) techniques by means of probabilistic models has recently been given special attention. Probabilistic models, in addition to a better interpretability of the DR methods, provide a framework for further…

计算机视觉与模式识别 · 计算机科学 2020-05-12 Mehran Safayani , Saeid Momenzadeh

Multi-view learning (MVL) is a strategy for fusing data from different sources or subsets. Canonical correlation analysis (CCA) is very important in MVL, whose main idea is to map data from different views onto a common space with maximum…

机器学习 · 计算机科学 2021-05-04 Chenfeng Guo , Dongrui Wu

Sensor technologies are becoming increasingly prevalent in the biomedical field, with applications ranging from telemonitoring of people at risk, to using sensor derived information as objective endpoints in clinical trials. To fully…

机器学习 · 计算机科学 2021-07-27 Narayan Schütz , Angela Botros , Michael Single , Aileen C. Naef , Philipp Buluschek , Tobias Nef

Accurate time series prediction is challenging due to the inherent nonlinearity and sensitivity to initial conditions. We propose a novel approach that enhances neural network predictions through differential learning, which involves…

机器学习 · 计算机科学 2025-03-11 Akash Yadav , Eulalia Nualart

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…

机器学习 · 计算机科学 2019-12-03 Zhongkai Sun , Prathusha Sarma , William Sethares , Yingyu Liang

Recently the widely used multi-view learning model, Canonical Correlation Analysis (CCA) has been generalised to the non-linear setting via deep neural networks. Existing deep CCA models typically first decorrelate the feature dimensions of…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Xiaobin Chang , Tao Xiang , Timothy M. Hospedales

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

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…

机器人学 · 计算机科学 2023-11-20 Wooyoung Chung , Daniel Polani , Stas Tiomkin

Canonical correlation analysis (CCA) is a widely used technique for estimating associations between two sets of multi-dimensional variables. Recent advancements in CCA methods have expanded their application to decipher the interactions of…

机器学习 · 统计学 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

Discovering a suitable coordinate transformation for nonlinear systems enables the construction of simpler models, facilitating prediction, control, and optimization for complex nonlinear systems. To that end, Koopman operator theory offers…

机器学习 · 计算机科学 2023-08-29 Pawan Goyal , Süleyman Yıldız , Peter Benner

Canonical Correlation Analysis (CCA) is a method for analyzing pairs of random vectors; it learns a sequence of paired linear transformations such that the resultant canonical variates are maximally correlated within pairs while…

统计方法学 · 统计学 2023-08-23 Daniel Kessler , Elizaveta Levina

In recent years, deep learning techniques have outperformed traditional models in many machine learning tasks. Deep neural networks have successfully been applied to address time series forecasting problems, which is a very important topic…

机器学习 · 计算机科学 2021-04-09 Pedro Lara-Benítez , Manuel Carranza-García , José C. Riquelme

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…

统计方法学 · 统计学 2015-06-03 Koby Todros , Alfred O. Hero

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

In this work we establish the relation between optimal control and training deep Convolution Neural Networks (CNNs). We show that the forward propagation in CNNs can be interpreted as a time-dependent nonlinear differential equation and…

神经与进化计算 · 计算机科学 2017-06-23 Eldad Haber , Lars Ruthotto , Elliot Holtham , Seong-Hwan Jun

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

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

There exist several data-driven approaches that enable us model time series data including traditional regression-based modeling approaches (i.e., ARIMA). Recently, deep learning techniques have been introduced and explored in the context…

机器学习 · 计算机科学 2021-12-20 Saroj Gopali , Faranak Abri , Sima Siami-Namini , Akbar Siami Namin