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Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

Machine Learning · Statistics 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao

Excluding irrelevant features in a pattern recognition task plays an important role in maintaining a simpler machine learning model and optimizing the computational efficiency. Nowadays with the rise of large scale datasets, feature…

Machine Learning · Computer Science 2018-04-17 Saman Sadeghyan

Sparse clustering, which aims to find a proper partition of an extremely high-dimensional data set with redundant noise features, has been attracted more and more interests in recent years. The existing studies commonly solve the problem in…

Machine Learning · Statistics 2019-02-25 Xiangyu Chang , Yu Wang , Rongjian Li , Zongben Xu

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

The representational capacity of modern neural network architectures has made them a default choice in various applications with high dimensional feature sets. But these high dimensional and potentially noisy features combined with the…

Machine Learning · Computer Science 2020-10-13 Vinay Varma K

Recent unsupervised person re-identification (re-ID) methods achieve high performance by leveraging fine-grained local context. These methods are referred to as part-based methods. However, most part-based methods obtain local contexts…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Jiahao Hong , Jialong Zuo , Chuchu Han , Ruochen Zheng , Ming Tian , Changxin Gao , Nong Sang

Feature selection is important in data representation and intelligent diagnosis. Elastic net is one of the most widely used feature selectors. However, the features selected are dependant on the training data, and their weights dedicated…

Machine Learning · Computer Science 2021-01-01 Shaode Yu , Haobo Chen , Hang Yu , Zhicheng Zhang , Xiaokun Liang , Wenjian Qin , Yaoqin Xie , Ping Shi

Due to the progressive growth of the amount of data available in a wide variety of scientific fields, it has become more difficult to ma- nipulate and analyze such information. Even though datasets have grown in size, the K-means algorithm…

Machine Learning · Statistics 2016-05-11 Marco Capó , Aritz Pérez , José Antonio Lozano

This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

Machine Learning · Computer Science 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

Kernel $k$-means clustering can correctly identify and extract a far more varied collection of cluster structures than the linear $k$-means clustering algorithm. However, kernel $k$-means clustering is computationally expensive when the…

Machine Learning · Computer Science 2019-02-12 Shusen Wang , Alex Gittens , Michael W. Mahoney

Unsupervised machine learning offers significant opportunities for extracting knowledge from unlabeled data sets and for achieving maximum machine learning performance. This paper demonstrates how to construct, use, and evaluate a high…

Materials Science · Physics 2021-04-13 Ryan Cohn , Elizabeth Holm

In the application of data clustering to human-centric decision-making systems, such as loan applications and advertisement recommendations, the clustering outcome might discriminate against people across different demographic groups,…

Machine Learning · Computer Science 2022-02-04 Suyun Liu , Luis Nunes Vicente

Feature selection is essential for high-dimensional biomedical data, enabling stronger predictive performance, reduced computational cost, and improved interpretability in precision medicine applications. Existing approaches face notable…

Machine Learning · Computer Science 2026-01-07 Xiaoyan Sun , Qingyu Meng , Yalu Wen

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

Applications · Statistics 2021-01-20 Ragnhild Laursen , Asger Hobolth

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improve the performance of subsequent machine learning tasks, like…

Machine Learning · Computer Science 2020-12-29 Yanyong Huang , Zongxin Shen , Fuxu Cai , Tianrui Li , Fengmao Lv

Kernel power $k$-means (KPKM) leverages a family of means to mitigate local minima issues in kernel $k$-means. However, KPKM faces two key limitations: (1) the computational burden of the full kernel matrix restricts its use on extensive…

Machine Learning · Computer Science 2025-11-14 Yixi Chen , Weixuan Liang , Tianrui Liu , Jun-Jie Huang , Ao Li , Xueling Zhu , Xinwang Liu

Feature selection from a large number of covariates (aka features) in a regression analysis remains a challenge in data science, especially in terms of its potential of scaling to ever-enlarging data and finding a group of scientifically…

Machine Learning · Statistics 2020-02-10 Yiying Fan , Jiayang Sun

K-means defines one of the most employed centroid-based clustering algorithms with performances tied to the data's embedding. Intricate data embeddings have been designed to push $K$-means performances at the cost of reduced theoretical…

Machine Learning · Computer Science 2022-02-17 Romain Cosentino , Randall Balestriero , Yanis Bahroun , Anirvan Sengupta , Richard Baraniuk , Behnaam Aazhang

Recently, deep matrix factorization has been established as a powerful model for unsupervised tasks, achieving promising results, especially for multi-view clustering. However, existing methods often lack effective feature selection…

Machine Learning · Statistics 2024-12-04 Yasser Khalafaoui , Basarab Matei , Martino Lovisetto , Nistor Grozavu

Feature importance scores are ubiquitous tools for understanding the predictions of machine learning models. However, many popular attribution methods suffer from high instability due to random sampling. Leveraging novel ideas from…

Machine Learning · Statistics 2025-07-08 Jeremy Goldwasser , Giles Hooker