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We propose an efficient ADMM method with guarantees for high-dimensional problems. We provide explicit bounds for the sparse optimization problem and the noisy matrix decomposition problem. For sparse optimization, we establish that the…

机器学习 · 计算机科学 2015-07-08 Hanie Sedghi , Anima Anandkumar , Edmond Jonckheere

Owing to the recent advances in "Big Data" modeling and prediction tasks, variational Bayesian estimation has gained popularity due to their ability to provide exact solutions to approximate posteriors. One key technique for approximate…

机器学习 · 计算机科学 2018-03-01 Hamza Anwar , Quanyan Zhu

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

神经元与认知 · 定量生物学 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

We introduce ADMM-pruned Compressive AutoEncoder (CAE-ADMM) that uses Alternative Direction Method of Multipliers (ADMM) to optimize the trade-off between distortion and efficiency of lossy image compression. Specifically, ADMM in our…

计算机视觉与模式识别 · 计算机科学 2019-02-12 Haimeng Zhao , Peiyuan Liao

In this paper, a sparse-based method for the estimation of the parameters of multidimensional ($R$-D) modal (harmonic or damped) complex signals in noise is presented. The problem is formulated as $R$ simultaneous sparse approximations of…

信息论 · 计算机科学 2015-11-02 Souleymen Sahnoun , El-Hadi Djermoune , David Brie , Pierre Comon

The reconstruction of clipped speech signals is an important task in audio signal processing to achieve an enhanced audio quality for further processing. In this paper, Frequency Selective Extrapolation (FSE), which is commonly used for…

音频与语音处理 · 电气工程与系统科学 2022-04-11 Markus Jonscher , Jürgen Seiler , André Kaup

Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

机器学习 · 计算机科学 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

Minimizing sum of two functions under a linear constraint is what we called splitting problem. This convex optimization has wide applications in machine learning problems, such as Lasso, Group Lasso and Sparse logistic regression. A recent…

统计计算 · 统计学 2017-11-20 Sen Na , Cho-Jui Hsieh

We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

统计理论 · 数学 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

Approximate Message Passing (AMP) has been shown to be a superior method for inference problems, such as the recovery of signals from sets of noisy, lower-dimensionality measurements, both in terms of reconstruction accuracy and in…

信息论 · 计算机科学 2015-06-10 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

Stochastic gradient descent (SGD) has taken the stage as the primary workhorse for large-scale machine learning. It is often used with its adaptive variants such as AdaGrad, Adam, and AMSGrad. This paper proposes an adaptive stochastic…

机器学习 · 计算机科学 2021-01-01 Tianyi Chen , Ziye Guo , Yuejiao Sun , Wotao Yin

This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

机器学习 · 统计学 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

In this paper we present our researches regarding automat parsing of audio recordings. These recordings are obtained from children with dyslalia and are necessary for an accurate identification of speech problems. We develop the ADM…

计算机与社会 · 计算机科学 2014-06-20 Ovidiu-Andrei Schipor , Titus-Marian Nestor

This paper introduces a novel approach for acoustic scene analysis by exploiting an ensemble of statistics extracted from a sub-band domain multi-hypothesis acoustic echo canceler (SDMH-AEC). A well-designed SDMH-AEC employs multiple…

音频与语音处理 · 电气工程与系统科学 2025-10-27 Benjamin J Southwell , Yin-Lee Ho , David Gunawan

The technique of abstracting abstract machines (AAM) provides a systematic approach for deriving computable approximations of evaluators that are easily proved sound. This article contributes a complementary step-by-step process for…

编程语言 · 计算机科学 2013-07-25 J. Ian Johnson , Nicholas Labich , Matthew Might , David Van Horn

Deep neural networks are vulnerable to adversarial examples that mislead models with imperceptible perturbations. In audio, although adversarial examples have achieved incredible attack success rates on white-box settings and black-box…

声音 · 计算机科学 2022-10-13 Deng JiaCheng , Dong Li , Yan Diqun , Wang Rangding , Zeng Jiaming

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

机器学习 · 计算机科学 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

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 a time-frequency analysis method to obtain instantaneous frequencies and the corresponding decomposition by solving an optimization problem. In this optimization problem, the basis to decompose the signal is not…

信息论 · 计算机科学 2014-10-14 Thomas Y. Hou , Zuoqiang Shi

For computational acoustics, schemes need to have low-dispersion and low-dissipation properties in order to capture the amplitude and phase of the wave correctly. To improve the spectral properties of the scheme, the authors have previously…

计算物理 · 物理学 2021-11-15 Y. H. Li , Y. X. Ren , Y. T. Su