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The conventional normalized subband p-norm (NSPN) algorithm achieves robustness in $\alpha$-stable noise ($1<\alpha \leq 2$) by utilizing low-order error moments. However, its performance degrades significantly under three scenarios: (1)…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-19 Jianhong Ye , Haiquan Zhao , Shaohui Lv , Yang Zhou

This paper studies the statistical models of the noise-robust normalized subband adaptive filter (NR-NSAF) algorithm in the mean and mean square deviation senses involving transient-state and steady-state behavior by resorting to the method…

Signal Processing · Electrical Eng. & Systems 2019-08-22 Yi Yu , Haiquan Zhao , Badong Chen , Wenyuan Wang , Lu Lu

When the input signal is correlated input signals, and the input and output signal is contaminated by Gaussian noise, the total least squares normalized subband adaptive filter (TLS-NSAF) algorithm shows good performance. However, when it…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Haiquan Zhao , Zian Cao , Yida Chen

Recurrent Neural Networks (RNN) can be difficult to deploy on resource constrained devices due to their size.As a result, there is a need for compression techniques that can significantly compress RNNs without negatively impacting task…

Machine Learning · Computer Science 2020-02-03 Urmish Thakker , Jesse Beu , Dibakar Gope , Chu Zhou , Igor Fedorov , Ganesh Dasika , Matthew Mattina

Recently, the normalized subband adaptive filter (NSAF) algorithm has attracted much attention for handling the colored input signals. Based on the first-order Markov model of the optimal tap-weight vector, this paper provides a convergence…

Systems and Control · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao

We propose two sparsity-aware normalized subband adaptive filter (NSAF) algorithms by using the gradient descent method to minimize a combination of the original NSAF cost function and the l1-norm penalty function on the filter…

Signal Processing · Electrical Eng. & Systems 2018-10-18 Y. Yu , H. Zhao , R. C. de Lamare

The normalized subband adaptive filter (NSAF) is widely accepted as a preeminent adaptive filtering algorithm because of its efficiency under the colored excitation. However, the convergence rate of NSAF is slow. To address this drawback,…

Information Theory · Computer Science 2017-03-20 Lu Lu , Haiquan Zhao

To improve the robustness of subband adaptive filter (SAF) against impulsive interferences, we propose two modified SAF algorithms with an individual scale function for each subband, which are derived by maximizing correntropy-based cost…

Other Computer Science · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao , Badong Chen , Zhengyou He

In recent years, the multitask diffusion least mean square (MD-LMS) algorithm has been extensively applied in the distributed parameter estimation and target tracking of multitask network. However, its performance is mainly limited by two…

Signal Processing · Electrical Eng. & Systems 2022-10-21 Wenjing Xu , Haiquan Zhao , Shaohui Lv

We study the problem of computing the minimum adversarial perturbation of the Nearest Neighbor (NN) classifiers. Previous attempts either conduct attacks on continuous approximations of NN models or search for the perturbation by some…

Machine Learning · Computer Science 2019-06-11 Lu Wang , Xuanqing Liu , Jinfeng Yi , Zhi-Hua Zhou , Cho-Jui Hsieh

Recurrent Neural Networks (RNN) can be difficult to deploy on resource constrained devices due to their size. As a result, there is a need for compression techniques that can significantly compress RNNs without negatively impacting task…

Machine Learning · Computer Science 2019-10-10 Urmish Thakker , Igor Fedorov , Jesse Beu , Dibakar Gope , Chu Zhou , Ganesh Dasika , Matthew Mattina

Limited by fixed step-size and sparsity penalty factor, the conventional sparsity-aware normalized subband adaptive filtering (NSAF) type algorithms suffer from trade-off requirements of high filtering accurateness and quicker convergence…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Dongxu Liu , Haiquan Zhao , Yang Zhou

Nonlinear adaptive filtering allows for modeling of some additional aspects of a general system and usually relies on highly complex algorithms, such as those based on the Volterra series. Through the use of the Kronecker product and some…

Systems and Control · Computer Science 2016-03-02 Felipe C. Pinheiro , Cássio G. Lopes

Recurrent neural networks (RNNs) are powerful in the tasks oriented to sequential data, such as natural language processing and video recognition. However, since the modern RNNs, including long-short term memory (LSTM) and gated recurrent…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Dingheng Wang , Bijiao Wu , Guangshe Zhao , Man Yao , Hengnu Chen , Lei Deng , Tianyi Yan , Guoqi Li

Proportionate-type normalized suband adaptive filter (PNSAF-type) algorithms are very attractive choices for echo cancellation. To further obtain both fast convergence rate and low steady-state error, in this paper, a variable step size…

Systems and Control · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao

We consider the problem of matrix approximation and denoising induced by the Kronecker product decomposition. Specifically, we propose to approximate a given matrix by the sum of a few Kronecker products of matrices, which we refer to as…

Statistics Theory · Mathematics 2020-08-28 Chencheng Cai , Rong Chen , Han Xiao

Tensor decomposition is a fundamental technique widely applied in signal processing, machine learning, and various other fields. However, traditional tensor decomposition methods encounter limitations when jointly analyzing multi-block…

Machine Learning · Computer Science 2024-06-27 Xiulin Wang , Jing Liu , Fengyu Cong

Kronecker regression is a highly-structured least squares problem $\min_{\mathbf{x}} \lVert \mathbf{K}\mathbf{x} - \mathbf{b} \rVert_{2}^2$, where the design matrix $\mathbf{K} = \mathbf{A}^{(1)} \otimes \cdots \otimes \mathbf{A}^{(N)}$ is…

Data Structures and Algorithms · Computer Science 2023-05-15 Matthew Fahrbach , Thomas Fu , Mehrdad Ghadiri

Kronecker Products (KP) have been used to compress IoT RNN Applications by 15-38x compression factors, achieving better results than traditional compression methods. However when KP is applied to large Natural Language Processing tasks, it…

Machine Learning · Computer Science 2020-11-18 Urmish Thakker , Paul N. Whatmough , Zhi-Gang Liu , Matthew Mattina , Jesse Beu

Building upon the mean p-power error (MPE) criterion, the normalized subband p-norm (NSPN) algorithm demonstrates superior robustness in $\alpha$-stable noise environments ($1 < \alpha \leq 2$) through effective utilization of low-order…

Signal Processing · Electrical Eng. & Systems 2026-01-16 Jianhong Ye , Haiquan Zhao , Yi Peng
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