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This paper introduces {\em fusion subspace clustering}, a novel method to learn low-dimensional structures that approximate large scale yet highly incomplete data. The main idea is to assign each datum to a subspace of its own, and minimize…

Machine Learning · Computer Science 2022-05-24 Usman Mahmood , Daniel Pimentel-Alarcón

Due to limitations in data quality, some essential visual tasks are difficult to perform independently. Introducing previously unavailable information to transfer informative dark knowledge has been a common way to solve such hard tasks.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Lingyu Si , Hongwei Dong , Wenwen Qiang , Junzhi Yu , Wenlong Zhai , Changwen Zheng , Fanjiang Xu , Fuchun Sun

Random projection is widely used as a method of dimension reduction. In recent years, its combination with standard techniques of regression and classification has been explored. Here we examine its use with principal component analysis…

Methodology · Statistics 2012-04-13 Qi Ding , Eric D. Kolaczyk

We consider the problem of reducing the dimensions of parameters and data in non-Gaussian Bayesian inference problems. Our goal is to identify an "informed" subspace of the parameters and an "informative" subspace of the data so that a…

Computation · Statistics 2022-07-19 Ricardo Baptista , Youssef Marzouk , Olivier Zahm

The classifications approaches for the crystallographic symmetries of patterns that are more or less periodic in two dimensions are critically reviewed and their relative performance qualitatively evaluated. The information theory based…

Materials Science · Physics 2021-06-01 Peter Moeck

DNA storage technology offers new possibilities for addressing massive data storage due to its high storage density, long-term preservation, low maintenance cost, and compact size. To improve the reliability of stored information, base…

Machine Learning · Computer Science 2024-09-24 Bowen Liu , Jiankun Li

Instance-level Image Retrieval (IIR), or simply Instance Retrieval, deals with the problem of finding all the images within an dataset that contain a query instance (e.g. an object). This paper makes the first attempt that tackles this…

Computer Vision and Pattern Recognition · Computer Science 2022-09-29 Tao Wu , Tie Luo , Donald Wunsch

In the past decades, the rapid growth of computer and database technologies has led to the rapid growth of large-scale datasets. On the other hand, data mining applications with high dimensional datasets that require high speed and accuracy…

Machine Learning · Computer Science 2020-08-11 Mehrdad Rostami , Kamal Berahmand , Saman Forouzandeh

Feature selection is frequently used as a pre-processing step to machine learning. It is a process of choosing a subset of original features so that the feature space is optimally reduced according to a certain evaluation criterion. The…

Computer Vision and Pattern Recognition · Computer Science 2014-01-07 Vijendra Singh , Shivani Pathak

Clustering is a fundamental unsupervised representation learning task with wide application in computer vision and pattern recognition. Deep clustering utilizes deep neural networks to learn latent representation, which is suitable for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Wenhao Wu , Weiwei Wang , Shengjiang Kong

To cluster, classify and represent are three fundamental objectives of learning from high-dimensional data with intrinsic structure. To this end, this paper introduces three interpretable approaches, i.e., segmentation (clustering) via the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Kai-Liang Lu , Avraham Chapman

We present a novel approach for the construction of ensemble classifiers based on dimensionality reduction. Dimensionality reduction methods represent datasets using a small number of attributes while preserving the information conveyed by…

Machine Learning · Computer Science 2013-05-21 Alon Schclar , Lior Rokach , Amir Amit

Deep clustering - joint representation learning and latent space clustering - is a well studied problem especially in computer vision and text processing under the deep learning framework. While the representation learning is generally…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

With the development of Information technology and communication, a large part of the databases is dedicated to images and videos. Thus retrieving images related to a query image from a large database has become an important area of…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Nazgol Hor , Shervan Fekri-Ershad

Feature selection and feature transformation, the two main ways to reduce dimensionality, are often presented separately. In this paper, a feature selection method is proposed by combining the popular transformation based dimensionality…

Machine Learning · Computer Science 2015-04-22 Hong Tao , Chenping Hou , Feiping Nie , Yuanyuan Jiao , Dongyun Yi

The goal of data selection is to capture the most structural information from a set of data. This paper presents a fast and accurate data selection method, in which the selected samples are optimized to span the subspace of all data. We…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Mohsen Joneidi , Alireza Zaeemzadeh , Nazanin Rahnavard , Mubarak Shah

To learn intrinsic low-dimensional structures from high-dimensional data that most discriminate between classes, we propose the principle of Maximal Coding Rate Reduction ($\text{MCR}^2$), an information-theoretic measure that maximizes the…

Machine Learning · Computer Science 2020-06-16 Yaodong Yu , Kwan Ho Ryan Chan , Chong You , Chaobing Song , Yi Ma

Visualizing high dimensional data by projecting them into two or three dimensional space is one of the most effective ways to intuitively understand the data's underlying characteristics, for example their class neighborhood structure.…

Machine Learning · Computer Science 2020-04-06 Pitoyo Hartono

Unsupervised learning from continuous visual streams is a challenging problem that cannot be naturally and efficiently managed in the classic batch-mode setting of computation. The information stream must be carefully processed accordingly…

Machine Learning · Computer Science 2020-06-17 Matteo Tiezzi , Stefano Melacci , Alessandro Betti , Marco Maggini , Marco Gori

Dimension reduction is an essential tool for analyzing high dimensional data. Most existing methods, including principal component analysis (PCA), as well as their extensions, provide principal components that are often linear combinations…

Methodology · Statistics 2025-08-18 Eric Zhang , Michael Love , Didong Li