mlsanityData to 7 Oct 2026

Sparsity-Aware Adaptive Algorithms Based on Alternating Optimization with Shrinkage

arXiv 1401.0463 ↗First posted 2 Jan 2014eess.SY cs.SYcited by 15

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Abstract (arXiv)

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating optimization of a diagonally-structured matrix that speeds up the convergence and an adaptive filter with a shrinkage function that forces the coefficients with small magnitudes to zero. We devise alternating optimization least-mean square (LMS) algorithms for the proposed scheme and analyze its mean-square error. Simulations for a system identification application show that the proposed scheme and algorithms outperform in convergence and tracking existing sparsity-aware algorithms.

Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Jan 2014.

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Citing papers per year: 2021: 4; 2022: 7; 2023: 0; 2024: 3; 2025: 1.

15 papers.

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  1. 2021Robust Adaptive Filtering Based on Exponential Functional Link Networkcited by 3
  2. 2021A survey on active noise control techniques -- Part I: Linear systemscited by 2
  3. 2024Online Graph Topology Learning via Time-Vertex Adaptive Filters: From Theory to Cardiac Fibrillationcited by 1
  4. 2021Study of Proximal Normalized Subband Adaptive Algorithm for Acoustic Echo Cancellationcited by 0
  5. 2021Active noise control techniques for nonlinear systemscited by 0
  6. 2022Study of Frequency domain exponential functional link network filterscited by 0
  7. 2022Study of filtered-x logarithmic recursive least p-power algorithmcited by 0
  8. 2022Conjugate Gradient Adaptive Learning with Tukey's Biweight M-Estimatecited by 0
  9. 2022Study of Robust Sparsity-Aware RLS algorithms with Jointly-Optimized Parameters for Impulsive Noise Environmentscited by 0
  10. 2022Sparsity-Aware Robust Normalized Subband Adaptive Filtering algorithms based on Alternating Optimizationcited by 0
  11. 2022Design and Analysis of Robust Resilient Diffusion over Multi-Task Networks Against Byzantine Attackscited by 0
  12. 2022Study of General Robust Subband Adaptive Filteringcited by 0
3 more
  1. 2024Analysis of Partially-Calibrated Sparse Subarrays for Direction Finding with Extended Degrees of Freedomcited by 0
  2. 2024Direction of Arrival Estimation with Sparse Subarrayscited by 0
  3. 2025Design and Analysis of Robust Adaptive Filtering with the Hyperbolic Tangent Exponential Kernel M-Estimator Function for Active Noise Controlcited by 0