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This paper studies high-dimensional canonical correlation analysis (CCA) with an emphasis on the vectors that define canonical variables. The paper shows that when two dimensions of data grow to infinity jointly and proportionally, the…

计量经济学 · 经济学 2025-01-24 Anna Bykhovskaya , Vadim Gorin

In many applications, such as classification of images or videos, it is of interest to develop a framework for tensor data instead of an ad-hoc way of transforming data to vectors due to the computational and under-sampling issues. In this…

机器学习 · 统计学 2020-11-13 You-Lin Chen , Mladen Kolar , Ruey S. Tsay

Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

统计方法学 · 统计学 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

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

For turbulent reacting flows, identification of low-dimensional representations of the thermo-chemical state space is vitally important, primarily to significantly reduce the computational cost of device-scale simulations. Principal…

流体动力学 · 物理学 2023-07-10 Dibyajyoti Nayak , Anirudh Jonnalagadda , Uma Balakrishnan , Hemanth Kolla , Konduri Aditya

In this paper, a novel perceptual image hashing scheme for color images is proposed based on ring-ribbon quadtree and color vector angle. First, original image is subjected to normalization and Gaussian low-pass filtering to produce a…

计算机视觉与模式识别 · 计算机科学 2020-12-09 Xinran Li , Chuan Qin , Zhenxing Qian , Heng Yao , Xinpeng Zhang

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

In this paper, we propose a deep probabilistic multi-view model that is composed of a linear multi-view layer based on probabilistic canonical correlation analysis (CCA) description in the latent space together with deep generative networks…

机器学习 · 计算机科学 2020-03-10 Mahdi Karami , Dale Schuurmans

An effective technique for obtaining high-quality representations is adding a projection head on top of the encoder during training, then discarding it and using the pre-projection representations. Despite its proven practical…

机器学习 · 计算机科学 2024-03-19 Yihao Xue , Eric Gan , Jiayi Ni , Siddharth Joshi , Baharan Mirzasoleiman

Discriminative Canonical Correlation Analysis (DCCA) is a powerful supervised feature extraction technique for two sets of multivariate data, which has wide applications in pattern recognition. DCCA consists of two parts: (i) mean-centering…

量子物理 · 物理学 2022-06-14 Yong-Mei Li , Hai-Ling Liu , Shi-Jie Pan , Su-Juan Qin , Fei Gao , Qiao-Yan Wen

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

We introduce a new approach to variable selection, called Predictive Correlation Screening, for predictor design. Predictive Correlation Screening (PCS) implements false positive control on the selected variables, is well suited to small…

机器学习 · 统计学 2013-04-11 Hamed Firouzi , Bala Rajaratnam , Alfred Hero

To enhance image compression performance, recent deep neural network-based research can be divided into three categories: a learnable codec, a postprocessing network, and a compact representation network. The learnable codec has been…

图像与视频处理 · 电气工程与系统科学 2021-12-21 Hanbin Son , Taeoh Kim , Hyeongmin Lee , Sangyoun Lee

Data driven optimization and machine learning based performance diagnostics of radio access networks entails significant challenges arising not only from the nature of underlying data sources but also due to complex spatio-temporal…

网络与互联网体系结构 · 计算机科学 2022-09-30 Furqan Ahmed , Muhammad Zeeshan Asghar , Jyri Hämäläinen

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

Generalized Eigenvalue Problems (GEPs) encompass a range of interesting dimensionality reduction methods. Development of efficient stochastic approaches to these problems would allow them to scale to larger datasets. Canonical Correlation…

机器学习 · 计算机科学 2023-01-10 James Chapman , Ana Lawry Aguila , Lennie Wells

Real-world image degradation is often unknown, spatially non-uniform, and compositional, requiring all-in-one restoration models to adapt a single set of weights to diverse local corruption patterns without test-time degradation labels.…

计算机视觉与模式识别 · 计算机科学 2026-05-08 Haisen He , Xiangyu Zou , SongLin Dong , Heng Li , Yihong Gong , Zhiheng Ma

Principal Component Analysis (PCA) is a very successful dimensionality reduction technique, widely used in predictive modeling. A key factor in its widespread use in this domain is the fact that the projection of a dataset onto its first…

机器学习 · 统计学 2017-05-19 Xianghui Luo , Robert J. Durrant

Methodologies for multidimensionality reduction aim at discovering low-dimensional manifolds where data ranges. Principal Component Analysis (PCA) is very effective if data have linear structure. But fails in identifying a possible…

数值分析 · 数学 2021-01-14 Alberto García-González , Antonio Huerta , Sergio Zlotnik , Pedro Díez

We propose a unified representation learning framework to address the Cross Model Compatibility (CMC) problem in the context of visual search applications. Cross compatibility between different embedding models enables the visual search…

计算机视觉与模式识别 · 计算机科学 2020-08-12 Chien-Yi Wang , Ya-Liang Chang , Shang-Ta Yang , Dong Chen , Shang-Hong Lai