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We develop the analysis (cosparse) variant of the popular audio declipping algorithm of Siedenburg et al. (2014). Furthermore, we extend both the old and the new variants by the possibility of weighting the time-frequency coefficients. We…

音频与语音处理 · 电气工程与系统科学 2023-03-08 Pavel Záviška , Pavel Rajmic

This work investigates the empirical performance of the sparse synthesis versus sparse analysis regularization for the ill-posed inverse problem of audio declipping. We develop a versatile non-convex heuristics which can be readily used…

声音 · 计算机科学 2015-06-10 Srđan Kitić , Nancy Bertin , Rémi Gribonval

Recent advances in audio declipping have substantially improved the state of the art.% in certain saturation regimes. Yet, practitioners need guidelines to choose a method, and while existing benchmarks have been instrumental in advancing…

声音 · 计算机科学 2020-12-01 Clément Gaultier , Srđan Kitić , Rémi Gribonval , Nancy Bertin

The state of the art in audio declipping has currently been achieved by SPADE (SParse Audio DEclipper) algorithm by Kiti\'c et al. Until now, the synthesis/sparse variant, S-SPADE, has been considered significantly slower than its…

音频与语音处理 · 电气工程与系统科学 2018-07-19 Pavel Záviška , Pavel Rajmic , Zdeněk Průša , Vítězslav Veselý

The paper presents a unified, flexible framework for the tasks of audio inpainting, declipping, and dequantization. The concept is further extended to cover analogous degradation models in a transformed domain, e.g. quantization of the…

音频与语音处理 · 电气工程与系统科学 2021-01-05 Ondřej Mokrý , Pavel Rajmic , Pavel Záviška

Non-local self-similarity and sparsity principles have proven to be powerful priors for natural image modeling. We propose a novel differentiable relaxation of joint sparsity that exploits both principles and leads to a general framework…

计算机视觉与模式识别 · 计算机科学 2020-08-21 Bruno Lecouat , Jean Ponce , Julien Mairal

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

信息论 · 计算机科学 2013-09-06 Christoph Studer , Richard G. Baraniuk

In this work we address the problem of recovering sparse solutions to non linear inverse problems. We look at two variants of the basic problem, the synthesis prior problem when the solution is sparse and the analysis prior problem where…

信息论 · 计算机科学 2015-12-25 Kavya Gupta , Ankita Raj , Angshul Majumdar

We present a method for audio denoising that combines processing done in both the time domain and the time-frequency domain. Given a noisy audio clip, the method trains a deep neural network to fit this signal. Since the fitting is only…

声音 · 计算机科学 2020-06-11 Michael Michelashvili , Lior Wolf

Autoregressive (AR) modeling is invaluable in signal processing, in particular in speech and audio fields. Attempts in the literature can be found that regularize or constrain either the time-domain signal values or the AR coefficients,…

音频与语音处理 · 电气工程与系统科学 2026-02-06 Ondřej Mokrý , Pavel Rajmic

Methods based on sparse representation have found great use in the recovery of audio signals degraded by clipping. The state of the art in declipping has been achieved by the SPADE algorithm by Kiti\'c et. al. (LVA/ICA2015). Our recent…

音频与语音处理 · 电气工程与系统科学 2020-01-17 Pavel Záviška , Pavel Rajmic , Ondřej Mokrý , Zdeněk Průša

An effective way to increase the noise robustness of automatic speech recognition is to label noisy speech features as either reliable or unreliable (missing) prior to decoding, and to replace the missing ones by clean speech estimates. We…

声音 · 计算机科学 2009-01-19 J. F. Gemmeke , B. Cranen

A novel method for audio declipping based on sparsity is presented. The method incorporates psychoacoustic information by weighting the transform coefficients in the $\ell_1$ minimization. Weighting leads to an improved quality of…

音频与语音处理 · 电气工程与系统科学 2020-07-02 Pavel Záviška , Pavel Rajmic , Jíří Schimmel

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

Background noise and room reverberation are regarded as two major factors to degrade the subjective speech quality. In this paper, we propose an integrated framework to address simultaneous denoising and dereverberation under complicated…

声音 · 计算机科学 2021-06-25 Andong Li , Wenzhe Liu , Xiaoxue Luo , Guochen Yu , Chengshi Zheng , Xiaodong Li

The paper shows the potential of sparsity-based methods in restoring quantized signals. Following up on the study of Brauer et al. (IEEE ICASSP 2016), we significantly extend the range of the evaluation scenarios: we introduce the analysis…

信号处理 · 电气工程与系统科学 2020-08-13 Pavel Záviška , Pavel Rajmic

In this paper, we propose an audio declipping method that takes advantages of both sparse optimization and deep learning. Since sparsity-based audio declipping methods have been developed upon constrained optimization, they are adjustable…

音频与语音处理 · 电气工程与系统科学 2022-02-17 Tomoro Tanaka , Kohei Yatabe , Masahiro Yasuda , Yasuhiro Oikawa

The blind deconvolution problem amounts to reconstructing both a signal and a filter from the convolution of these two. It constitutes a prominent topic in mathematical and engineering literature. In this work, we analyze a sparse version…

信息论 · 计算机科学 2021-11-08 Axel Flinth , Ingo Roth , Benedikt Groß , Jens Eisert , Gerhard Wunder

Image denoising is a classic restoration problem. Yet, current deep learning methods are subject to the problems of generalization and interpretability. To mitigate these problems, in this project, we present a framework that is capable of…

图像与视频处理 · 电气工程与系统科学 2021-06-18 Haley Owsianko , Florian Cassayre , Qiyuan Liang

We consider algorithms and recovery guarantees for the analysis sparse model in which the signal is sparse with respect to a highly coherent frame. We consider the use of a monotone version of the fast iterative shrinkage- thresholding…

最优化与控制 · 数学 2015-06-17 Zhao Tan , Yonina C. Eldar , Amir Beck , Arye Nehorai
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