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We present an I/O-efficient algorithm for computing similarity joins based on locality-sensitive hashing (LSH). In contrast to the filtering methods commonly suggested our method has provable sub-quadratic dependency on the data size.…

Data Structures and Algorithms · Computer Science 2017-03-29 Rasmus Pagh , Ninh Pham , Francesco Silvestri , Morten Stöckel

Nonsmooth Nonnegative Matrix Factorization (nsNMF) is capable of producing more localized, less overlapped feature representations than other variants of NMF while keeping satisfactory fit to data. However, nsNMF as well as other existing…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Jinshi Yu , Guoxu Zhou , Andrzej Cichocki , Shengli Xie

Statistical traffic data analysis is a hot topic in traffic management and control. In this field, current research progresses focus on analyzing traffic flows of individual links or local regions in a transportation network. Less attention…

Computational Engineering, Finance, and Science · Computer Science 2012-12-24 Yufei Han , Fabien Moutarde

As Machine Learning (ML) applications rapidly grow, concerns about adversarial attacks compromising their reliability have gained significant attention. One unsupervised ML method known for its resilience to such attacks is Non-negative…

Machine Learning · Computer Science 2024-08-08 Minh Vu , Ben Nebgen , Erik Skau , Geigh Zollicoffer , Juan Castorena , Kim Rasmussen , Boian Alexandrov , Manish Bhattarai

Low dimensional nonlinear structure abounds in datasets across computer vision and machine learning. Kernelized matrix factorization techniques have recently been proposed to learn these nonlinear structures for denoising, classification,…

Machine Learning · Computer Science 2021-06-01 Jicong Fan , Chengrun Yang , Madeleine Udell

Federated Learning (FL) is a distributed machine learning setting that requires multiple clients to collaborate on training a model while maintaining data privacy. The unaddressed inherent sparsity in data and models often results in overly…

Machine Learning · Statistics 2025-12-30 Krishna Harsha Kovelakuntla Huthasana , Alireza Olama , Andreas Lundell

Neural networks are often challenging to work with due to their large size and complexity. To address this, various methods aim to reduce model size by sparsifying or decomposing weight matrices, such as magnitude pruning and low-rank or…

Machine Learning · Computer Science 2025-06-05 Vladimír Boža , Vladimír Macko

Non-negative Matrix Factorization (NMF) is an effective algorithm for multivariate data analysis, including applications to feature selection, pattern recognition, and computer vision. Its variant, Semi-Nonnegative Matrix Factorization…

Numerical Analysis · Mathematics 2024-10-23 Anthony Rhodes , Bin Jiang , Jenny Jiang

Low-latency gravitational wave search pipelines such as GstLAL take advantage of low-rank factorization of the template matrix via singular value decomposition (SVD). With unprecedented improvements in detector bandwidth and sensitivity in…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Amit Reza , Anirban Dasgupta , Anand S. Sengupta

Large-scale federated learning (FL) over wireless multiple access channels (MACs) has emerged as a crucial learning paradigm with a wide range of applications. However, its widespread adoption is hindered by several major challenges,…

Machine Learning · Computer Science 2024-11-01 Vineet Sunil Gattani , Junshan Zhang , Gautam Dasarathy

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

Methodology · Statistics 2020-02-10 Michael J. O'Connell , Eric F. Lock

Locality sensitive hashing (LSH) is a powerful tool for sublinear-time approximate nearest neighbor search, and a variety of hashing schemes have been proposed for different dissimilarity measures. However, hash codes significantly depend…

Unsupervised hashing has attracted much attention for binary representation learning due to the requirement of economical storage and efficiency of binary codes. It aims to encode high-dimensional features in the Hamming space with…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Xiaoqin Wang , Chen Chen , Rushi Lan , Licheng Liu , Zhenbing Liu , Huiyu Zhou , Xiaonan Luo

In recent years, Cross-Modal Hashing (CMH) has aroused much attention due to its fast query speed and efficient storage. Previous literatures have achieved promising results for Cross-Modal Retrieval (CMR) by discovering discriminative hash…

Multimedia · Computer Science 2023-10-06 Kaiyi Luo , Chao Zhang , Huaxiong Li , Xiuyi Jia , Chunlin Chen

Non-negative matrix factorization (NMF) has proved effective in many clustering and classification tasks. The classic ways to measure the errors between the original and the reconstructed matrix are $l_2$ distance or Kullback-Leibler (KL)…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Le Li , Jianjun Yang , Kaili Zhao , Yang Xu , Honggang Zhang , Zhuoyi Fan

Space partitions of $\mathbb{R}^d$ underlie a vast and important class of fast nearest neighbor search (NNS) algorithms. Inspired by recent theoretical work on NNS for general metric spaces [Andoni, Naor, Nikolov, Razenshteyn, Waingarten…

Machine Learning · Computer Science 2020-09-30 Yihe Dong , Piotr Indyk , Ilya Razenshteyn , Tal Wagner

Non-negative matrix factorization (NMF) is a powerful tool for dimensionality reduction and clustering. Unfortunately, the interpretation of the clustering results from NMF is difficult, especially for the high-dimensional biological data…

Machine Learning · Computer Science 2021-04-28 Wenwen Min , Taosheng Xu , Xiang Wan , Tsung-Hui Chang

We study the $r$-near neighbors reporting problem ($r$-NN), i.e., reporting \emph{all} points in a high-dimensional point set $S$ that lie within a radius $r$ of a given query point $q$. Our approach builds upon on the locality-sensitive…

Databases · Computer Science 2017-03-29 Ninh Pham

We propose a new variant of nonnegative matrix factorization (NMF), combining separability and sparsity assumptions. Separability requires that the columns of the first NMF factor are equal to columns of the input matrix, while sparsity…

Machine Learning · Computer Science 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

Symmetric nonnegative matrix factorization (NMF), a special but important class of the general NMF, is demonstrated to be useful for data analysis and in particular for various clustering tasks. Unfortunately, designing fast algorithms for…

Machine Learning · Computer Science 2018-11-15 Zhihui Zhu , Xiao Li , Kai Liu , Qiuwei Li