A Novel Iterative Thresholding Algorithm for Arctangent Regularization Problem

In this work, we derive the proximity operator of an arctangent penalty, which is expressed using hyperbolic functions of sine and cosine. This penalty is then applied to sparse signal recovery, and an efficient arctangent regularization iterative thresholding (ARIT) algorithm is proposed, offering...

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Bibliographic Details
Published in:Proceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) pp. 9651 - 9655
Main Authors: He, Zihao, Shu, Qianyu, Wen, Jinming, So, Hing Cheung
Format: Conference Proceeding
Language:English
Published: IEEE 14.04.2024
Subjects:
Acoustics
arctangent regularization
Closed-form solutions
Compressed sensing
Iterative algorithms
iterative thresholding algorithm
Sensors
Signal processing
Signal processing algorithms
Speech processing
ISSN:2379-190X
Online Access:Get full text
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Summary:In this work, we derive the proximity operator of an arctangent penalty, which is expressed using hyperbolic functions of sine and cosine. This penalty is then applied to sparse signal recovery, and an efficient arctangent regularization iterative thresholding (ARIT) algorithm is proposed, offering closed-form solutions for the subproblems associated with the arctangent penalty. Extensive experiments are conducted to compare the performance of ARIT with several existing iterative thresholding algorithms, and the results demonstrate that our algorithm achieves the best overall performance in terms of the probability of successful recovery, phase transition and running time.
ISSN:2379-190X
DOI:10.1109/ICASSP48485.2024.10448179