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With the development of information technology, we have witnessed an age of data explosion which produces a large variety of data filled with redundant information. Because dimension reduction is an essential tool which embeds…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Huibing Wang , Jinjia Peng , Xianping Fu

In recent years, we have witnessed a surge of interest in multi-view representation learning, which is concerned with the problem of learning representations of multi-view data. When facing multiple views that are highly related but sightly…

Machine Learning · Computer Science 2020-06-20 Xiangzhu Meng , Lin Feng , Huibing Wang

During the last decades, we have witnessed a surge of interests of learning a low-dimensional space with discriminative information from one single view. Even though most of them can achieve satisfactory performance in some certain…

Machine Learning · Computer Science 2019-05-21 Lin Feng , Xiangzhu Meng , Huibing Wang

Over the past few decades, we have witnessed a large family of algorithms that have been designed to provide different solutions to the problem of dimensionality reduction (DR). The DR is an essential tool to excavate the important…

Machine Learning · Computer Science 2020-05-22 Haohao Li , Huibing Wang

The graph embedding (GE) methods have been widely applied for dimensionality reduction of hyperspectral imagery (HSI). However, a major challenge of GE is how to choose proper neighbors for graph construction and explore the spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Hong Huang , Guangyao Shi , Haibo He , Yule Duan , Fulin Luo

We describe MPSE: a Multi-Perspective Simultaneous Embedding method for visualizing high-dimensional data, based on multiple pairwise distances between the data points. Specifically, MPSE computes positions for the points in 3D and provides…

Data Structures and Algorithms · Computer Science 2020-08-07 Md Iqbal Hossain , Vahan Huroyan , Stephen Kobourov , Raymundo Navarrete

With the development of multimedia era, multi-view data is generated in various fields. Contrast with those single-view data, multi-view data brings more useful information and should be carefully excavated. Therefore, it is essential to…

Machine Learning · Computer Science 2019-01-09 Huibing Wang , Haohao Li , Xianping Fu

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

During the last decades, learning a low-dimensional space with discriminative information for dimension reduction (DR) has gained a surge of interest. However, it's not accessible for these DR methods to achieve satisfactory performance…

Machine Learning · Computer Science 2019-11-19 Xiangzhu Meng , Huibing Wang , Lin Feng

Majority of the current dimensionality reduction or retrieval techniques rely on embedding the learned feature representations onto a computable metric space. Once the learned features are mapped, a distance metric aids the bridging of gaps…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Muhammad Kamran Janjua , Shah Nawaz , Alessandro Calefati , Ignazio Gallo

Low-dimensional embeddings for data from disparate sources play critical roles in multi-modal machine learning, multimedia information retrieval, and bioinformatics. In this paper, we propose a supervised dimensionality reduction method…

Machine Learning · Computer Science 2021-01-15 Yanjun Li , Bihan Wen , Hao Cheng , Yoram Bresler

Although Vision Transformers (ViTs) have recently advanced computer vision tasks significantly, an important real-world problem was overlooked: adapting to variable input resolutions. Typically, images are resized to a fixed resolution,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Wenzhuo Liu , Fei Zhu , Shijie Ma , Cheng-Lin Liu

Dense retrieval has achieved impressive advances in first-stage retrieval from a large-scale document collection, which is built on bi-encoder architecture to produce single vector representation of query and document. However, a document…

Computation and Language · Computer Science 2022-03-17 Shunyu Zhang , Yaobo Liang , Ming Gong , Daxin Jiang , Nan Duan

This paper presents a comprehensive overview of several multidimensional reduction methods focusing on Multidimensional Principal Component Analysis (MPCA), Multilinear Orthogonal Neighborhood Preserving Projection (MONPP), Multidimensional…

Numerical Analysis · Mathematics 2026-01-05 Mohamed El Guide , Alaa El Ichi , Khalide Jbilou , Lothar Reichel , Hessah Alqahtani

Conventional vision algorithms adopt a single type of feature or a simple concatenation of multiple features, which is always represented in a high-dimensional space. In this paper, we propose a novel unsupervised spectral embedding…

Computer Vision and Pattern Recognition · Computer Science 2015-08-05 Mengyang Yu , Li Liu , Ling Shao

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

Embedding techniques have become essential components of large databases in the deep learning era. By encoding discrete entities, such as words, items, or graph nodes, into continuous vector spaces, embeddings facilitate more efficient…

Information Retrieval · Computer Science 2024-10-18 Shiwei Li , Zhuoqi Hu , Xing Tang , Haozhao Wang , Shijie Xu , Weihong Luo , Yuhua Li , Xiuqiang He , Ruixuan Li

In ordinary Dimensionality Reduction (DR), each data instance in a high dimensional space (original space), or on a distance matrix denoting original space distances, is mapped to (projected onto) one point in a low dimensional space…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Farshad Barahimi

Searching for the $k$-nearest neighbors (KNN) in multimodal data retrieval is computationally expensive, particularly due to the inherent difficulty in comparing similarity measures across different modalities. Recent advances in multimodal…

Machine Learning · Computer Science 2025-08-25 Chengyu Gong , Gefei Shen , Luanzheng Guo , Nathan Tallent , Dongfang Zhao

Detail features of magnetic resonance images play a cru-cial role in accurate medical diagnosis and treatment, as they capture subtle changes that pose challenges for doc-tors when performing precise judgments. However, the widely utilized…

Computer Vision and Pattern Recognition · Computer Science 2024-05-10 Mengxiao Geng , Jiahao Zhu , Xiaolin Zhu , Qiqing Liu , Dong Liang , Qiegen Liu
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