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Approximate message passing (AMP) algorithms have shown great promise in sparse signal reconstruction due to their low computational requirements and fast convergence to an exact solution. Moreover, they provide a probabilistic framework…

声音 · 计算机科学 2018-02-02 Turab Iqbal , Wenwu Wang

Signal separation and extraction are important tasks for devices recording audio signals in real environments which, aside from the desired sources, often contain several interfering sources such as background noise or concurrent speakers.…

信号处理 · 电气工程与系统科学 2020-07-15 Andreas Brendel , Thomas Haubner , Walter Kellermann

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

A novel model was recently proposed by Schulze-Forster et al. in [1] for unsupervised music source separation. This model allows to tackle some of the major shortcomings of existing source separation frameworks. Specifically, it eliminates…

信号处理 · 电气工程与系统科学 2024-01-31 Gael Richard , Pierre Chouteau , Bernardo Torres

Source separation is the task to separate an audio recording into individual sound sources. Source separation is fundamental for computational auditory scene analysis. Previous work on source separation has focused on separating particular…

声音 · 计算机科学 2020-02-07 Qiuqiang Kong , Yuxuan Wang , Xuchen Song , Yin Cao , Wenwu Wang , Mark D. Plumbley

Independent deeply learned matrix analysis (IDLMA) is one of the state-of-the-art multichannel audio source separation methods using the source power estimation based on deep neural networks (DNNs). The DNN-based power estimation works well…

The use of multichannel data in line spectral estimation (or frequency estimation) is common for improving the estimation accuracy in array processing, structural health monitoring, wireless communications, and more. Recently proposed…

信息论 · 计算机科学 2018-10-15 Zai Yang , Jinhui Tang , Yonina C. Eldar , Lihua Xie

Nonnegative Matrix Factorization (NMF) is a powerful tool for decomposing mixtures of audio signals in the Time-Frequency (TF) domain. In applications such as source separation, the phase recovery for each extracted component is a major…

声音 · 计算机科学 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

Source separation for music is the task of isolating contributions, or stems, from different instruments recorded individually and arranged together to form a song. Such components include voice, bass, drums and any other…

声音 · 计算机科学 2021-04-29 Alexandre Défossez , Nicolas Usunier , Léon Bottou , Francis Bach

Matrix learning is at the core of many machine learning problems. A number of real-world applications such as collaborative filtering and text mining can be formulated as a low-rank matrix completion problem, which recovers incomplete…

机器学习 · 计算机科学 2021-02-23 Yaqing Wang , Quanming Yao , James T. Kwok

We consider a convex relaxation of sparse principal component analysis proposed by d'Aspremont et al. in (d'Aspremont et al. SIAM Rev 49:434-448, 2007). This convex relaxation is a nonsmooth semidefinite programming problem in which the…

最优化与控制 · 数学 2011-11-30 Shiqian Ma

Speech separation with several speakers is a challenging task because of the non-stationarity of the speech and the strong signal similarity between interferent sources. Current state-of-the-art solutions can separate well the different…

信号处理 · 电气工程与系统科学 2021-02-09 Nicolas Furnon , Romain Serizel , Irina Illina , Slim Essid

In recent years, the nuclear norm minimization (NNM) problem has been attracting much attention in computer vision and machine learning. The NNM problem is capitalized on its convexity and it can be solved efficiently. The standard nuclear…

计算机视觉与模式识别 · 计算机科学 2014-05-26 Qi Xie , Deyu Meng , Shuhang Gu , Lei Zhang , Wangmeng Zuo , Xiangchu Feng , Zongben Xu

In this paper, we introduce a powerful technique based on Leave-one-out analysis to the study of low-rank matrix completion problems. Using this technique, we develop a general approach for obtaining fine-grained, entrywise bounds for…

机器学习 · 统计学 2020-06-18 Lijun Ding , Yudong Chen

Separating signals from an additive mixture may be an unnecessarily hard problem when one is only interested in specific properties of a given signal. In this work, we tackle simpler "statistical component separation" problems that focus on…

机器学习 · 统计学 2024-03-01 Bruno Régaldo-Saint Blancard , Michael Eickenberg

Auscultation provides a rich diversity of information to diagnose cardiovascular and respiratory diseases. However, sound auscultation is challenging due to noise. In this study, a modified version of the affine non-negative matrix…

信号处理 · 电气工程与系统科学 2026-05-27 Yasaman Torabi , Shahram Shirani , James P. Reilly

Recovering a low-rank tensor from incomplete information is a recurring problem in signal processing and machine learning. The most popular convex relaxation of this problem minimizes the sum of the nuclear norms of the unfoldings of the…

机器学习 · 统计学 2013-08-16 Cun Mu , Bo Huang , John Wright , Donald Goldfarb

Source apportionment analysis, which aims to quantify the attribution of observed concentrations of multiple air pollutants to specific sources, can be formulated as a non-negative matrix factorization (NMF) problem. However, NMF is…

统计理论 · 数学 2025-10-08 Bora Jin , Abhirup Datta

One of the classical approaches for estimating the frequencies and damping factors in a spectrally sparse signal is the MUSIC algorithm, which exploits the low-rank structure of an autocorrelation matrix. Low-rank matrices have also…

信息论 · 计算机科学 2020-08-20 Shuang Li , Hassan Mansour , Michael B. Wakin

This paper presents a technique for Informed Source Separation (ISS) of a single channel mixture, based on the Multiple Input Spectrogram Inversion method. The reconstruction of the source signals is iterative, alternating between a time-…

新兴技术 · 计算机科学 2015-03-20 Nicolas Sturmel , Laurent Daudet