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In the regression setting, dimension reduction allows for complicated regression structures to be detected via visualization in a low-dimension framework. However, some popular dimension reduction methodologies fail to achieve this aim when…

Methodology · Statistics 2014-03-26 Luke A. Prendergast , Alexandra L. Garnham

Multi-view representation learning aims to derive robust representations that are both view-consistent and view-specific from diverse data sources. This paper presents an in-depth analysis of existing approaches in this domain, highlighting…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Guanzhou Ke , Bo Wang , Xiaoli Wang , Shengfeng He

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

A central goal of visual recognition is to understand objects and scenes from a single image. 2D recognition has witnessed tremendous progress thanks to large-scale learning and general-purpose representations. Comparatively, 3D poses new…

Computer Vision and Pattern Recognition · Computer Science 2023-01-20 Chao-Yuan Wu , Justin Johnson , Jitendra Malik , Christoph Feichtenhofer , Georgia Gkioxari

The task of dimensionality reduction and visualization of high-dimensional datasets remains a challenging problem since long. Modern high-throughput technologies produce newer high-dimensional datasets having multiple views with relatively…

Human-Computer Interaction · Computer Science 2023-04-05 Chayan Maitra , Dibyendu B. Seal , Rajat K. De

Contrastive learning between different views of the data achieves outstanding success in the field of self-supervised representation learning and the learned representations are useful in broad downstream tasks. Since all supervision…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Haoqing Wang , Xun Guo , Zhi-Hong Deng , Yan Lu

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

Representation learning constitutes a pivotal cornerstone in contemporary deep learning paradigms, offering a conduit to elucidate distinctive features within the latent space and interpret the deep models. Nevertheless, the inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Siyuan Dai , Kai Ye , Kun Zhao , Ge Cui , Haoteng Tang , Liang Zhan

Multi-view clustering (MVC) can explore common semantics from unsupervised views generated by different sources, and thus has been extensively used in applications of practical computer vision. Due to the spatio-temporal asynchronism,…

Artificial Intelligence · Computer Science 2023-10-31 Jiatai Wang , Zhiwei Xu , Xuewen Yang , Xin Wang

An important theme in modern inverse problems is the reconstruction of time-dependent data from only finitely many measurements. To obtain satisfactory reconstruction results in this setting it is essential to strongly exploit temporal…

Numerical Analysis · Mathematics 2024-03-14 Martin Holler , Alexander Schlüter , Benedikt Wirth

Randomized dimensionality reduction is a widely-used algorithmic technique for speeding up large-scale Euclidean optimization problems. In this paper, we study dimension reduction for a variety of maximization problems, including…

Data Structures and Algorithms · Computer Science 2025-06-03 Jie Gao , Rajesh Jayaram , Benedikt Kolbe , Shay Sapir , Chris Schwiegelshohn , Sandeep Silwal , Erik Waingarten

A significant challenge to make learning techniques more suitable for general purpose use is to move beyond i) complete supervision, ii) low dimensional data, iii) a single task and single view per instance. Solving these challenges allows…

Machine Learning · Computer Science 2012-02-07 Buyue Qian , Xiang Wang , Ian Davidson

We introduce a new framework for dimension reduction in the context of high-dimensional regression. Our proposal is to aggregate an ensemble of random projections, which have been carefully chosen based on the empirical regression…

Methodology · Statistics 2024-10-08 Wenxing Zhou , Timothy I. Cannings

While neural networks for learning representation of multi-view data have been previously proposed as one of the state-of-the-art multi-view dimension reduction techniques, how to make the representation discriminative with only a small…

Machine Learning · Computer Science 2018-11-13 Vahid Noroozi , Sara Bahaadini , Lei Zheng , Sihong Xie , Weixiang Shao , Philip S. Yu

Dimensionality reduction (DR) methods are commonly used for analyzing and visualizing multidimensional data. However, when data is a live streaming feed, conventional DR methods cannot be directly used because of their computational…

Graphics · Computer Science 2019-10-16 Takanori Fujiwara , Jia-Kai Chou , Shilpika , Panpan Xu , Liu Ren , Kwan-Liu Ma

Multi-view representation learning has developed rapidly over the past decades and has been applied in many fields. However, most previous works assumed that each view is complete and aligned. This leads to an inevitable deterioration in…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Yiming Wang , Dongxia Chang , Zhiqiang Fu , Jie Wen , Yao Zhao

While self-supervised learning techniques are often used to mining implicit knowledge from unlabeled data via modeling multiple views, it is unclear how to perform effective representation learning in a complex and inconsistent context. To…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Jiangmeng Li , Wenwen Qiang , Changwen Zheng , Bing Su , Farid Razzak , Ji-Rong Wen , Hui Xiong

Multi-view learning methods often focus on improving decision accuracy, while neglecting the decision uncertainty, limiting their suitability for safety-critical applications. To mitigate this, researchers propose trusted multi-view…

Machine Learning · Computer Science 2024-10-08 Ying Liu , Lihong Liu , Cai Xu , Xiangyu Song , Ziyu Guan , Wei Zhao

The problem of finding a reduced dimensionality representation of categorical variables while preserving their most relevant characteristics is fundamental for the analysis of complex data. Specifically, given a co-occurrence matrix of two…

Machine Learning · Computer Science 2012-12-12 Amir Globerson , Gal Chechik , Naftali Tishby

3D shape completion is important to enable machines to perceive the complete geometry of objects from partial observations. To address this problem, view-based methods have been presented. These methods represent shapes as multiple depth…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Tao Hu , Zhizhong Han , Matthias Zwicker