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In this paper we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted $\ell_1$ minimization over that sparsity model. In particular, we focus on a model where the entries of the unknown vector fall into…

Information Theory · Computer Science 2010-09-21 M. Amin Khajehnejad , Weiyu Xu , A. Salman Avestimehr , Babak Hassibi

This work introduces a feature extracted from stereophonic/binaural audio signals aiming to represent a measure of perceived quality degradation in processed spatial auditory scenes. The feature extraction technique is based on a simplified…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-06 Pablo M. Delgado , Jürgen Herre

In this paper, we introduce a weighted $\ell_2/\ell_1$ minimization to recover block sparse signals with arbitrary prior support information. When partial prior support information is available, a sufficient condition based on the high…

Information Theory · Computer Science 2017-06-30 Wengu Chen , Huanmin Ge

A central goal of neuroscience is to understand how activity in the nervous system is related to features of the external world, or to features of the nervous system itself. A common approach is to model neural responses as a weighted…

Machine Learning · Statistics 2015-05-14 Kristofer E. Bouchard

Electroencephalography (EEG) denoising methods typically depend on manual intervention or clean reference signals. This work introduces a task-oriented learning framework for automatic EEG denoising that uses only task labels without clean…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Tian-Yu Xiang , Zheng Lei , Xiao-Hu Zhou , Xiao-Liang Xie , Shi-Qi Liu , Mei-Jiang Gui , Hong-Yun Ou , Xin-Zheng Huang , Xin-Yi Fu , Zeng-Guang Hou

We propose a new algorithm for recovery of sparse signals from their compressively sensed samples. The proposed algorithm benefits from the strategy of gradual movement to estimate the positions of non-zero samples of sparse signal. We…

Information Theory · Computer Science 2012-04-04 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

Optimization and Control · Mathematics 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Image denoising aims to remove noise while preserving structural details and perceptual realism, yet distortion-driven methods often produce over-smoothed reconstructions, especially under strong noise and distribution shift. This paper…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

In this paper, we study the support recovery conditions of weighted $\ell_1$ minimization for signal reconstruction from compressed sensing measurements when multiple support estimate sets with different accuracy are available. We identify…

Information Theory · Computer Science 2012-06-01 Hassan Mansour , Ozgur Yilmaz

This paper introduces a new biologically-inspired training method named Continual Learning through Adjustment Suppression and Sparsity Promotion (CLASSP). CLASSP is based on two main principles observed in neuroscience, particularly in the…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Oswaldo Ludwig

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

In importance sampling (IS)-based reinforcement learning algorithms such as Proximal Policy Optimization (PPO), IS weights are typically clipped to avoid large variance in learning. However, policy update from clipped statistics induces…

Machine Learning · Computer Science 2019-05-30 Seungyul Han , Youngchul Sung

Conventional audio coding technologies commonly leverage human perception of sound, or psychoacoustics, to reduce the bitrate while preserving the perceptual quality of the decoded audio signals. For neural audio codecs, however, the…

Sound · Computer Science 2021-01-05 Kai Zhen , Mi Suk Lee , Jongmo Sung , Seungkwon Beack , Minje Kim

This paper aims to build an estimate of an unknown density of the data with measurement error as a linear combination of functions from a dictionary. Inspired by the penalization approach, we propose the weighted Elastic-net penalized…

Statistics Theory · Mathematics 2020-07-07 Xiaowei Yang , Huiming Zhang , Haoyu Wei , Shouzheng Zhang

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

Information Theory · Computer Science 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

In this paper, we investigate the theoretical guarantees of penalized $\lun$ minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (support and sign consistency) from noisy measurements with…

Information Theory · Computer Science 2011-09-13 Charles Dossal , Marie-Line Chabanol , Gabriel Peyré , Jalal Fadili

Dropout-based regularization methods can be regarded as injecting random noise with pre-defined magnitude to different parts of the neural network during training. It was recently shown that Bayesian dropout procedure not only improves…

Machine Learning · Statistics 2017-11-07 Kirill Neklyudov , Dmitry Molchanov , Arsenii Ashukha , Dmitry Vetrov

Recently, speech separation (SS) task has achieved remarkable progress driven by deep learning technique. However, it is still challenging to separate target speech from noisy mixture, as the neural model is vulnerable to assign background…

Sound · Computer Science 2024-01-09 Zizheng Zhang , Chen Chen , Hsin-Hung Chen , Xiang Liu , Yuchen Hu , Eng Siong Chng

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

Image and Video Processing · Electrical Eng. & Systems 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury

To address the enormous size of Large Language Models (LLMs), model compression methods, such as quantization and pruning, are often deployed, especially on edge devices. In this work, we focus on layer-wise post-training quantization and…

Machine Learning · Computer Science 2025-12-02 Jing Liu , Toshiaki Koike-Akino , Ye Wang , Hassan Mansour , Matthew Brand
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