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In this paper we consider the problem of clustering collections of very short texts using subspace clustering. This problem arises in many applications such as product categorisation, fraud detection, and sentiment analysis. The main…

Machine Learning · Statistics 2019-01-29 Hankui Peng , Nicos Pavlidis , Idris Eckley , Ioannis Tsalamanis

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

Subspace clustering algorithms are notorious for their scalability issues because building and processing large affinity matrices are demanding. In this paper, we introduce a method that simultaneously learns an embedding space along…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Tong Zhang , Pan Ji , Mehrtash Harandi , Richard Hartley , Ian Reid

We propose a novel 3D point cloud segmentation framework named SASO, which jointly performs semantic and instance segmentation tasks. For semantic segmentation task, inspired by the inherent correlation among objects in spatial context, we…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Jingang Tan , Lili Chen , Kangru Wang , Jingquan Peng , Jiamao Li , Xiaolin Zhang

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

Machine Learning · Computer Science 2017-09-15 John Lipor , Laura Balzano

A sparse modeling is a major topic in machine learning and statistics. LASSO (Least Absolute Shrinkage and Selection Operator) is a popular sparse modeling method while it has been known to yield unexpected large bias especially at a sparse…

Machine Learning · Computer Science 2018-08-23 Katsuyuki Hagiwara

Adaptive Cluster Sampling (ACS) is introduced as a technique to use when "natural" groupings are evident in a spatially distributed population, especially sparsely distributed populations. An ACS sampling design will allow efficient…

Statistics Theory · Mathematics 2013-04-10 Aneesh Hariharan , Vincent Gallucci , Craig Heberer

Random column sampling is not guaranteed to yield data sketches that preserve the underlying structures of the data and may not sample sufficiently from less-populated data clusters. Also, adaptive sampling can often provide accurate low…

Machine Learning · Computer Science 2017-10-11 Mostafa Rahmani , George Atia

Large-scale association analysis between multivariate responses and predictors is of great practical importance, as exemplified by modern business applications including social media marketing and crisis management. Despite the rapid…

Methodology · Statistics 2020-11-18 Zemin Zheng , Yang Li , Jie Wu , Yuchen Wang

In this paper, we propose an adaptive sieving (AS) strategy for solving general sparse machine learning models by effectively exploring the intrinsic sparsity of the solutions, wherein only a sequence of reduced problems with much smaller…

Optimization and Control · Mathematics 2025-04-28 Yancheng Yuan , Meixia Lin , Defeng Sun , Kim-Chuan Toh

Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

Machine Learning · Computer Science 2019-09-10 Zhenyue Zhang , Yuqing Xia

Data stream clustering reveals patterns within continuously arriving, potentially unbounded data sequences. Numerous data stream algorithms have been proposed to cluster data streams. The existing data stream clustering algorithms still…

Machine Learning · Computer Science 2025-07-02 Jie Chen , Hua Mao , Yuanbiao Gou , Xi Peng

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

Machine Learning · Computer Science 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

Solving linear regression problems based on the total least-squares (TLS) criterion has well-documented merits in various applications, where perturbations appear both in the data vector as well as in the regression matrix. However,…

Information Theory · Computer Science 2011-04-20 Hao Zhu , Geert Leus , Georgios B. Giannakis

This paper explores the homogeneity of coefficients in high-dimensional regression, which extends the sparsity concept and is more general and suitable for many applications. Homogeneity arises when one expects regression coefficients…

Methodology · Statistics 2013-04-01 Tracy Ke , Jianqing Fan , Yichao Wu

Sparsity-constrained optimization underlies many problems in signal processing, statistics, and machine learning. State-of-the-art hard-thresholding (HT) algorithms rely on an appropriately selected continuous step-size parameter to ensure…

Machine Learning · Statistics 2026-05-13 Jin Zhu , Junxian Zhu , Zezhi Wang , Borui Tang , Hongmei Lin , Xueqin Wang

Multi-view learning can cover all features of data samples more comprehensively, so multi-view learning has attracted widespread attention. Traditional subspace clustering methods, such as sparse subspace clustering (SSC) and low-ranking…

Machine Learning · Computer Science 2022-01-04 Jian-wei Liu , Hao-jie Xie , Run-kun Lu , Xiong-lin Luo

Distributed sparse learning with a cluster of multiple machines has attracted much attention in machine learning, especially for large-scale applications with high-dimensional data. One popular way to implement sparse learning is to use…

Machine Learning · Statistics 2018-10-29 Shen-Yi Zhao , Gong-Duo Zhang , Ming-Wei Li , Wu-Jun Li

By coding a query sample as a sparse linear combination of all training samples and then classifying it by evaluating which class leads to the minimal coding residual, sparse representation based classification (SRC) leads to interesting…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Lei Zhang , Meng Yang , Xiangchu Feng , Yi Ma , David Zhang

Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

Methodology · Statistics 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys