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This paper tackles two major problem settings for interpretability of audio processing networks, post-hoc and by-design interpretation. For post-hoc interpretation, we aim to interpret decisions of a network in terms of high-level audio…

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

信号处理 · 电气工程与系统科学 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang

For audio source separation applications, it is common to estimate the magnitude of the short-time Fourier transform (STFT) of each source. In order to further synthesizing time-domain signals, it is necessary to recover the phase of the…

声音 · 计算机科学 2018-02-28 Paul Magron , Roland Badeau , Bertrand David

Nonnegative matrix factorization (NMF) approximates a nonnegative matrix, $X$, by the product of two nonnegative factors, $WH$, where $W$ has $r$ columns and $H$ has $r$ rows. In this paper, we consider NMF using the component-wise L1 norm…

机器学习 · 计算机科学 2026-04-01 Giovanni Seraghiti , Kévin Dubrulle , Arnaud Vandaele , Nicolas Gillis

Low-rank tensor estimation offers a powerful approach to addressing high-dimensional data challenges and can substantially improve solutions to ill-posed inverse problems, such as image reconstruction under noisy or undersampled conditions.…

机器学习 · 计算机科学 2025-02-06 Anh Van Nguyen , Diego Klabjan , Minseok Ryu , Kibaek Kim , Zichao Di

This paper deals with the modeling of non-stationary signals, from the point of view of signal synthesis. A class of random, non-stationary signals, generated by synthesis from a random timescale representation, is introduced and studied.…

软凝聚态物质 · 物理学 2022-11-09 Adrien Meynard , Bruno Torrésani

Positive semidefinite matrix factorization (PSDMF) expresses each entry of a nonnegative matrix as the inner product of two positive semidefinite (psd) matrices. When all these psd matrices are constrained to be diagonal, this model is…

信号处理 · 电气工程与系统科学 2021-07-07 Dana Lahat , Yanbin Lang , Vincent Y. F. Tan , Cédric Févotte

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Low-rank factorization is a popular model compression technique that minimizes the error $\delta$ between approximated and original weight matrices. Despite achieving performances close to the original models when $\delta$ is optimized, a…

机器学习 · 计算机科学 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

机器学习 · 计算机科学 2024-10-30 Youdong Guo , Timothy E. Holy

This paper describes a new approach, based on linear programming, for computing nonnegative matrix factorizations (NMFs). The key idea is a data-driven model for the factorization where the most salient features in the data are used to…

最优化与控制 · 数学 2013-02-05 Victor Bittorf , Benjamin Recht , Christopher Re , Joel A. Tropp

The model described in this paper belongs to the family of non-negative matrix factorization methods designed for data representation and dimension reduction. In addition to preserving the data positivity property, it aims also to preserve…

机器学习 · 计算机科学 2022-09-23 Rachid Hedjam , Abdelhamid Abdesselam , Abderrahmane Rahiche , Mohamed Cheriet

Nonnegative matrix factorization (NMF) has been shown recently to be tractable under the separability assumption, under which all the columns of the input data matrix belong to the convex cone generated by only a few of these columns.…

机器学习 · 统计学 2014-05-27 Nicolas Gillis , Robert Luce

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

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

最优化与控制 · 数学 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

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

We propose a flexible and theoretically supported framework for scalable nonnegative matrix factorization. The goal is to find nonnegative low-rank components directly from compressed measurements, accessing the original data only once or…

最优化与控制 · 数学 2026-02-17 Abraar Chaudhry , Elizaveta Rebrova

The time-frequency map (TFM) is frequently used in condition monitoring, necessitating further processing to select an informative frequency band (IFB) or directly detect damage. However, selecting an IFB is challenging due to the…

信号处理 · 电气工程与系统科学 2026-04-28 Anna Michalak , Justyna Hebda-Sobkowicz , Anil Kumar , Radoslaw Zimroz , Rafal Zdunek , Agnieszka Wylomanska

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

统计方法学 · 统计学 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

We propose a novel approach for time-scale modification of audio signals. Unlike traditional methods that rely on the framing technique or the short-time Fourier transform to preserve the frequency during temporal stretching, our neural…

声音 · 计算机科学 2023-10-09 Ernie Chu , Ju-Ting Chen , Chia-Ping Chen