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Recent theory of mapping an image into a structured low-rank Toeplitz or Hankel matrix has become an effective method to restore images. In this paper, we introduce a generalized structured low-rank algorithm to recover images from their…

Image and Video Processing · Electrical Eng. & Systems 2018-11-28 Yue Hu , Xiaohan Liu , Mathews Jacob

We address the problem of estimating a sparse low-rank matrix from its noisy observation. We propose an objective function consisting of a data-fidelity term and two parameterized non-convex penalty functions. Further, we show how to set…

Optimization and Control · Mathematics 2017-04-13 Ankit Parekh , Ivan W. Selesnick

Reducing the interference noise in a monaural noisy speech signal has been a challenging task for many years. Compared to traditional unsupervised speech enhancement methods, e.g., Wiener filtering, supervised approaches, such as algorithms…

Sound · Computer Science 2017-09-19 Nasser Mohammadiha , Paris Smaragdis , Arne Leijon

Exponential is a basic signal form, and how to fast acquire this signal is one of the fundamental problems and frontiers in signal processing. To achieve this goal, partial data may be acquired but result in the severe artifacts in its…

Signal Processing · Electrical Eng. & Systems 2021-12-21 Yihui Huang , Jinkui Zhao , Zi Wang , Vladislav Orekhov , Di Guo , Xiaobo Qu

Recognition of speech, and in particular the ability to generalize and learn from small sets of labelled examples like humans do, depends on an appropriate representation of the acoustic input. We formulate the problem of finding robust…

Audio fingerprinting is a well-established solution for song identification from short recording excerpts. Popular methods rely on the extraction of sparse representations, generally spectral peaks, and have proven to be accurate, fast, and…

Sound · Computer Science 2023-10-31 Kamil Akesbi , Dorian Desblancs , Benjamin Martin

The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Tarik Kazaz , Gerard J. M. Janssen , Alle-Jan van der Veen

Time-frequency representations of audio signals often resemble texture images. This paper derives a simple audio classification algorithm based on treating sound spectrograms as texture images. The algorithm is inspired by an earlier visual…

Computer Vision and Pattern Recognition · Computer Science 2008-09-29 Guoshen Yu , Jean-Jacques Slotine

Recent years have seen growing interest in learning disentangled representations, in which distinct features, such as size or shape, are represented by distinct neurons. Quantifying the extent to which a given representation is disentangled…

Machine Learning · Computer Science 2023-04-06 Louis Mahon , Lei Shah , Thomas Lukasiewicz

The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm approximation is generalized to the case of linear…

Optimization and Control · Mathematics 2020-04-22 Peter Benner , Steffen W. R. Werner

With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

Information Theory · Computer Science 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

In this work we present a method for unsupervised learning of audio representations, focused on the task of singing voice separation. We build upon a previously proposed method for learning representations of time-domain music signals with…

Sound · Computer Science 2021-01-11 Stylianos Ioannis Mimilakis , Konstantinos Drossos , Gerald Schuller

Let $H\_0, ..., H\_n$ be $m \times m$ matrices with entries in $\QQ$ and Hankel structure, i.e. constant skew diagonals. We consider the linear Hankel matrix $H(\vecx)=H\_0+\X\_1H\_1+...+\X\_nH\_n$ and the problem of computing sample points…

Symbolic Computation · Computer Science 2015-02-10 Didier Henrion , Simone Naldi , Mohab Safey El Din

Video and audio inpainting for mixed audio-visual content has become a crucial task in multimedia editing recently. However, precisely removing an object and its corresponding audio from a video without affecting the rest of the scene…

Multimedia · Computer Science 2025-09-23 Kam Man Wu , Zeyue Tian , Liya Ji , Qifeng Chen

Some audio declipping methods produce waveforms that do not fully respect the physical process of clipping, which is why we refer to them as inconsistent. This letter reports what effect on perception it has if the solution by inconsistent…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pavel Záviška , Pavel Rajmic , Ondřej Mokrý

We study the decomposition of a multivariate Hankel matrix H\_$\sigma$ as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol $\sigma$ as a sum of polynomial-exponential series. We present a new…

Algebraic Geometry · Mathematics 2017-01-23 Jouhayna Harmouch , Houssam Khalil , Bernard Mourrain

Neural speech models build deeply entangled internal representations, which capture a variety of features (e.g., fundamental frequency, loudness, syntactic category, or semantic content of a word) in a distributed encoding. This complexity…

Computation and Language · Computer Science 2024-10-07 Hosein Mohebbi , Grzegorz Chrupała , Willem Zuidema , Afra Alishahi , Ivan Titov

In this paper, we present a new method for estimating the number of terms in a sum of exponentially damped sinusoids embedded in noise. In particular, we propose to combine the shift-invariance property of the Hankel matrix associated with…

Signal Processing · Electrical Eng. & Systems 2021-10-20 Raymundo Albert , Cecilia G. Galarza

This paper reports on recent results related to audiophonic signals encoding using time-scale and time-frequency transform. More precisely, non-linear, structured approximations for tonal and transient components using local cosine and…

Statistics Theory · Mathematics 2013-04-23 Stéphane Molla , Bruno Torrésani

For music indexing robust to sound degradations and scalable for big music catalogs, this scientific report presents an approach based on audio descriptors relevant to the music content and invariant to sound transformations (noise…

Signal Processing · Electrical Eng. & Systems 2024-03-04 Rémi Mignot , Geoffroy Peeters
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