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Motivated by electricity consumption metering, we extend existing nonnegative matrix factorization (NMF) algorithms to use linear measurements as observations, instead of matrix entries. The objective is to estimate multiple time series at…

机器学习 · 统计学 2016-10-06 Jiali Mei , Yohann De Castro , Yannig Goude , Georges Hébrail

This study presents PRISM, a probabilistic simplex component analysis approach to identifying the vertices of a data-circumscribing simplex from data. The problem has a rich variety of applications, the most notable being hyperspectral…

信号处理 · 电气工程与系统科学 2022-02-16 Ruiyuan Wu , Wing-Kin Ma , Yuening Li , Anthony Man-Cho So , Nicholas D. Sidiropoulos

Nonnegative Matrix Factorization (NMF) models are widely used to recover linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational…

信号处理 · 电气工程与系统科学 2023-05-31 Cécile Hautecoeur , Lieven De Lathauwer , Nicolas Gillis , François Glineur

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

计算机视觉与模式识别 · 计算机科学 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

Probabilistic approach to Boolean matrix factorization can provide solutions robustagainst noise and missing values with linear computational complexity. However,the assumption about latent factors can be problematic in real world…

机器学习 · 统计学 2019-05-31 Lifan Liang , Songjian Lu

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

人工智能 · 计算机科学 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

With the development of smart cities, urban surveillance video analysis will play a further significant role in intelligent transportation systems. Identifying the same target vehicle in large datasets from non-overlapping cameras should be…

计算机视觉与模式识别 · 计算机科学 2020-03-17 Huibing Wang , Jinjia Peng , Guangqi Jiang , Fengqiang Xu , Xianping Fu

With the rapid development of information technology, "information overload" has become the main theme that plagues people's online life. As an effective tool to help users quickly search for useful information, a personalized…

信息检索 · 计算机科学 2022-06-03 Peiyu Liu , Junping Du , Zhe Xue , Ang Li

Symmetric nonnegative matrix factorization (SymNMF) has important applications in data analytics problems such as document clustering, community detection and image segmentation. In this paper, we propose a novel nonconvex variable…

最优化与控制 · 数学 2017-03-27 Songtao Lu , Mingyi Hong , Zhengdao Wang

In this work, we consider nonnegative matrix factorization (NMF) with a regularization that promotes small volume of the convex hull spanned by the basis matrix. We present highly efficient algorithms for three different volume…

数值分析 · 计算机科学 2020-01-14 M. S. Ang , Nicolas Gillis

Learning multi-view data is an emerging problem in machine learning research, and nonnegative matrix factorization (NMF) is a popular dimensionality-reduction method for integrating information from multiple views. These views often provide…

机器学习 · 统计学 2023-04-26 Shuo Shuo Liu , Lin Lin

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

信号处理 · 电气工程与系统科学 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Most of existing image denoising methods assume the corrupted noise to be additive white Gaussian noise (AWGN). However, the realistic noise in real-world noisy images is much more complex than AWGN, and is hard to be modelled by simple…

计算机视觉与模式识别 · 计算机科学 2018-07-13 Jun Xu , Lei Zhang , David Zhang

The past decade has seen substantial work on the use of non-negative matrix factorization and its probabilistic counterparts for audio source separation. Although able to capture audio spectral structure well, these models neglect the…

机器学习 · 计算机科学 2012-07-03 Gautham Mysore , Maneesh Sahani

Classification of multi-dimensional time series from real-world systems require fine-grained learning of complex features such as cross-dimensional dependencies and intra-class variations-all under the practical challenge of low training…

机器学习 · 计算机科学 2025-05-16 Anushiya Arunan , Yan Qin , Xiaoli Li , Yuen Chau

This paper studies the recovery of a superposition of point sources from noisy bandlimited data. In the fewest possible words, we only have information about the spectrum of an object in a low-frequency band bounded by a certain cut-off…

信息论 · 计算机科学 2013-07-11 Emmanuel Candes , Carlos Fernandez-Granda

An Intrusion detection system (IDS) is essential for avoiding malicious activity. Mostly, IDS will be improved by machine learning approaches, but the model efficiency is degrading because of more headers (or features) present in the packet…

密码学与安全 · 计算机科学 2023-04-04 Swapnil Mane , Vaibhav Khatavkar , Niranjan Gijare , Pranav Bhendawade

Recent advances in associative memory design through strutured pattern sets and graph-based inference algorithms have allowed the reliable learning and retrieval of an exponential number of patterns. Both these and classical associative…

神经与进化计算 · 计算机科学 2013-06-04 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav Varshney

Tensor Factor Models (TFM) are appealing dimension reduction tools for high-order large-dimensional tensor time series, and have wide applications in economics, finance and medical imaging. In this paper, we propose a projection estimator…

统计方法学 · 统计学 2025-03-03 Matteo Barigozzi , Yong He , Lingxiao Li , Lorenzo Trapani

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

机器学习 · 计算机科学 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni