Pub Date : 2026-01-06DOI: 10.1109/LSP.2026.3651227
Steven Kay;Kaushallya Adhikari;Kaan Icer
A new approach to the analytical implementation of the Rosenblatt transformation is described. It leverages the properties of the empirical probability density function, which is the standard estimate of an unknown density. As such its utility is to applications where training data is available for the unknown density. These applications include data-driven algorithms for detection/classification and other statistical signal processing problems where the underlying probabilistic description of the data is unknown. As an illustration, an application to anomaly detection is described in detail using Gaussian and radar datasets.
{"title":"An Analytical Implementation of the Rosenblatt Transformation","authors":"Steven Kay;Kaushallya Adhikari;Kaan Icer","doi":"10.1109/LSP.2026.3651227","DOIUrl":"https://doi.org/10.1109/LSP.2026.3651227","url":null,"abstract":"A new approach to the analytical implementation of the Rosenblatt transformation is described. It leverages the properties of the empirical probability density function, which is the standard estimate of an unknown density. As such its utility is to applications where training data is available for the unknown density. These applications include data-driven algorithms for detection/classification and other statistical signal processing problems where the underlying probabilistic description of the data is unknown. As an illustration, an application to anomaly detection is described in detail using Gaussian and radar datasets.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"511-515"},"PeriodicalIF":3.9,"publicationDate":"2026-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-06DOI: 10.1109/LSP.2026.3651005
Yiran Zhao;Jinze Li;Shisheng Guo;Zhuohang Shi
The sparse array configuration of multi-input multi-output imaging radar leads to high grating lobes problem in the imaging process, which significantly degrades final image quality. Although the traditional Phase Coherence Factor can partially mitigate these grating lobes, it suffers from limitations such as attenuation of the main lobe energy. To overcome these drawbacks, this paper proposes a novel grating lobes suppression method based on phase-coherence-guided adaptive threshold classification. This method first adaptively determines a classification threshold by analyzing the phase coherence features of the target main lobe. Using this threshold, all the grids in the radar image are classified into two categories and distinct schemes are applied to compute their respective weighting factors. Finally, grating lobes in the image are suppressed by weighting the original radar image. Numerical simulation and field experiment both confirm the effectiveness of the proposed method, which achieves a higher peak sidelobe ratio than conventional methods, demonstrating promising practical value.
{"title":"A Grating Lobes Suppression Method for MIMO Imaging Radar Based on Phase-Coherence-Guided Adaptive Threshold Classification","authors":"Yiran Zhao;Jinze Li;Shisheng Guo;Zhuohang Shi","doi":"10.1109/LSP.2026.3651005","DOIUrl":"https://doi.org/10.1109/LSP.2026.3651005","url":null,"abstract":"The sparse array configuration of multi-input multi-output imaging radar leads to high grating lobes problem in the imaging process, which significantly degrades final image quality. Although the traditional Phase Coherence Factor can partially mitigate these grating lobes, it suffers from limitations such as attenuation of the main lobe energy. To overcome these drawbacks, this paper proposes a novel grating lobes suppression method based on phase-coherence-guided adaptive threshold classification. This method first adaptively determines a classification threshold by analyzing the phase coherence features of the target main lobe. Using this threshold, all the grids in the radar image are classified into two categories and distinct schemes are applied to compute their respective weighting factors. Finally, grating lobes in the image are suppressed by weighting the original radar image. Numerical simulation and field experiment both confirm the effectiveness of the proposed method, which achieves a higher peak sidelobe ratio than conventional methods, demonstrating promising practical value.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"501-505"},"PeriodicalIF":3.9,"publicationDate":"2026-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Traditional skeleton-based action recognition methods rely on large labeled datasets, which are costly to collect and unsuitable for hazardous actions, thereby limiting generalization. To overcome these limitations, recent works adopt zero-shot learning by using rich textual descriptions to guide the alignment and recognition of unlabeled skeleton features. However, these methods still struggle with similar actions (e.g., reading vs. writing), due to ambiguity arising from noise in both modalities. We propose the Discriminative Dual-Prototype TextAlignment (DDPTA) framework. Our framework introduces a novel dual-prototype design with tailored refinement strategies to effectively distill these two complementary prototypes. For the Spatial Prototype, our CycleSpatial module first distills the action’s core joint form from noisy spatial features, which is then guided by a Sieve-based Alignment. For the Temporal Prototype, our MambaTempo module leverages the Selective State Space Model to extract representations across distinct temporal stages, enabling fine-grained alignment with descriptions of different time periods. Extensive experiments demonstrate the superior performance of our method, showcasing its effectiveness in advancing the field of zero-shot skeleton-based action recognition.
传统的基于骨架的动作识别方法依赖于大型标记数据集,这些数据集收集成本高且不适合危险动作,从而限制了泛化。为了克服这些限制,最近的研究采用零射击学习,通过丰富的文本描述来指导未标记骨架特征的对齐和识别。然而,由于两种方式的噪声产生的歧义,这些方法仍然难以处理类似的动作(例如,读与写)。我们提出了判别双原型文本对齐(DDPTA)框架。我们的框架引入了一种新的双原型设计,并采用定制的改进策略来有效地提取这两个互补的原型。对于空间原型,我们的CycleSpatial模块首先从嘈杂的空间特征中提取动作的核心关节形式,然后由基于筛子的对齐引导。对于时间原型,我们的MambaTempo模块利用选择性状态空间模型(Selective State Space Model)来提取跨不同时间阶段的表示,从而支持与不同时间段的描述进行细粒度对齐。大量的实验证明了该方法的优越性能,证明了其在推进基于零射击骨架的动作识别领域的有效性。
{"title":"DDPTA: Zero-Shot Learning for Skeleton-Based Action Recognition","authors":"Jinjie Wang;Bi Zeng;Shenghong Zhong;Pengfei Wei;Xiaoting Gao","doi":"10.1109/LSP.2025.3650464","DOIUrl":"https://doi.org/10.1109/LSP.2025.3650464","url":null,"abstract":"Traditional skeleton-based action recognition methods rely on large labeled datasets, which are costly to collect and unsuitable for hazardous actions, thereby limiting generalization. To overcome these limitations, recent works adopt zero-shot learning by using rich textual descriptions to guide the alignment and recognition of unlabeled skeleton features. However, these methods still struggle with similar actions (e.g., reading vs. writing), due to ambiguity arising from noise in both modalities. We propose the Discriminative Dual-Prototype TextAlignment (DDPTA) framework. Our framework introduces a novel dual-prototype design with tailored refinement strategies to effectively distill these two complementary prototypes. For the Spatial Prototype, our CycleSpatial module first distills the action’s core joint form from noisy spatial features, which is then guided by a Sieve-based Alignment. For the Temporal Prototype, our MambaTempo module leverages the Selective State Space Model to extract representations across distinct temporal stages, enabling fine-grained alignment with descriptions of different time periods. Extensive experiments demonstrate the superior performance of our method, showcasing its effectiveness in advancing the field of zero-shot skeleton-based action recognition.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"506-510"},"PeriodicalIF":3.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01DOI: 10.1109/LSP.2025.3650438
Jianwen Huang;Feng Zhang;Xinling Liu;Runbin Tang;Jinping Jia;Runke Wang
The weighted $ell _{r}-ell _{1}$ minimization with weight $alpha$ has been extensively employed to robustly estimate a high-dimensional sparse signal $x$ coded by the underdetermined linear measurements $y=Ax+z$, where $A$ and $z$ are the measurement matrix and noise, respectively. In this paper, we demonstrate that if the restricted isometry constant (RIC) $delta _{s}$ of $A$ fulfills $delta _{s}< 1/(1+3t/sqrt{5})$, where $t$ relies on sparsity level $s$ for known model parameters $alpha$ and $r$, then any sparse signal $x$ are ensured to be robustly reconstructed through solving the weighted $ell _{r}-ell _{1}$ minimization in the noisy situation. The gained condition is testified to be much better that the state-of-art ones.
{"title":"An Improved Sufficient Condition for Weighted $ell _{r}-ell _{1}$ Minimization","authors":"Jianwen Huang;Feng Zhang;Xinling Liu;Runbin Tang;Jinping Jia;Runke Wang","doi":"10.1109/LSP.2025.3650438","DOIUrl":"https://doi.org/10.1109/LSP.2025.3650438","url":null,"abstract":"The weighted <inline-formula><tex-math>$ell _{r}-ell _{1}$</tex-math></inline-formula> minimization with weight <inline-formula><tex-math>$alpha$</tex-math></inline-formula> has been extensively employed to robustly estimate a high-dimensional sparse signal <inline-formula><tex-math>$x$</tex-math></inline-formula> coded by the underdetermined linear measurements <inline-formula><tex-math>$y=Ax+z$</tex-math></inline-formula>, where <inline-formula><tex-math>$A$</tex-math></inline-formula> and <inline-formula><tex-math>$z$</tex-math></inline-formula> are the measurement matrix and noise, respectively. In this paper, we demonstrate that if the restricted isometry constant (RIC) <inline-formula><tex-math>$delta _{s}$</tex-math></inline-formula> of <inline-formula><tex-math>$A$</tex-math></inline-formula> fulfills <inline-formula><tex-math>$delta _{s}< 1/(1+3t/sqrt{5})$</tex-math></inline-formula>, where <inline-formula><tex-math>$t$</tex-math></inline-formula> relies on sparsity level <inline-formula><tex-math>$s$</tex-math></inline-formula> for known model parameters <inline-formula><tex-math>$alpha$</tex-math></inline-formula> and <inline-formula><tex-math>$r$</tex-math></inline-formula>, then any sparse signal <inline-formula><tex-math>$x$</tex-math></inline-formula> are ensured to be robustly reconstructed through solving the weighted <inline-formula><tex-math>$ell _{r}-ell _{1}$</tex-math></inline-formula> minimization in the noisy situation. The gained condition is testified to be much better that the state-of-art ones.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"698-702"},"PeriodicalIF":3.9,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2025-12-05DOI: 10.1109/lsp.2025.3640510
Christopher K Kovach, Stephen V Gliske, Erin M Radcliffe, Sam Shipley, John A Thompson, Aviva Abosch
The fourth-order time-invariant spectrum, or trispectrum, has a simple derivation as the cross-spectrum among frequency bands in the Wigner-Ville distribution (WVD). Viewed this way, the trispectrum gains intuitive meaning as a measure of the linear dependence of power across frequencies, which yields some insight into its structure and interpretation. We highlight, in particular, a two-dimensional subdomain as useful for identifying modulated oscillations when the modulating envelope is non-negative or lowpass. Spectral characteristics of the carrier and modulating signals are revealed along separate axes of a two-dimensional representation of this domain. The application of this framework, combined with a previously described additive decomposition technique for higher-order spectra, is demonstrated by the blind identification and separation of sleep spindles and beta bursts in EEG.
{"title":"Interpreting the Trispectrum as the Cross-Spectrum of the Wigner-Ville Distribution.","authors":"Christopher K Kovach, Stephen V Gliske, Erin M Radcliffe, Sam Shipley, John A Thompson, Aviva Abosch","doi":"10.1109/lsp.2025.3640510","DOIUrl":"10.1109/lsp.2025.3640510","url":null,"abstract":"<p><p>The fourth-order time-invariant spectrum, or trispectrum, has a simple derivation as the cross-spectrum among frequency bands in the Wigner-Ville distribution (WVD). Viewed this way, the trispectrum gains intuitive meaning as a measure of the linear dependence of power across frequencies, which yields some insight into its structure and interpretation. We highlight, in particular, a two-dimensional subdomain as useful for identifying modulated oscillations when the modulating envelope is non-negative or lowpass. Spectral characteristics of the carrier and modulating signals are revealed along separate axes of a two-dimensional representation of this domain. The application of this framework, combined with a previously described additive decomposition technique for higher-order spectra, is demonstrated by the blind identification and separation of sleep spindles and beta bursts in EEG.</p>","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"221-225"},"PeriodicalIF":3.9,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12829976/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146046600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-31DOI: 10.1109/LSP.2025.3649590
Ying Zeng;Jialong Zhu
Medical image segmentation is fundamental to clinical diagnosis and treatment planning, yet existing models are constrained by the scarcity of annotated data, which are costly and labor-intensive to obtain. Semi-supervised learning (SSL) mitigates this issue by leveraging large volumes of unlabeled data, but most SSL methods rely solely on visual cues and often fail to capture subtle structures or low-contrast regions common in medical imaging. To address this limitation, we present LanDy, a Language-Prompted Dynamic Learning framework for semi-supervised medical image segmentation. LanDy introduces textual semantics from medical descriptions to enrich visual representations and reduce the ambiguity of pseudo-labels. Concretely, textual embeddings dynamically modulate convolutional filters to provide context-aware feature extraction, while a text-guided refinement mechanism improves the reliability of pseudo-labels on unlabeled data. Extensive experiments on benchmark datasets demonstrate that LanDy consistently outperforms state-of-the-art SSL methods, delivering more accurate and robust segmentation under annotation-efficient settings.
{"title":"Language-Prompted Dynamic Learning for Semi-Supervised Medical Image Segmentation","authors":"Ying Zeng;Jialong Zhu","doi":"10.1109/LSP.2025.3649590","DOIUrl":"https://doi.org/10.1109/LSP.2025.3649590","url":null,"abstract":"Medical image segmentation is fundamental to clinical diagnosis and treatment planning, yet existing models are constrained by the scarcity of annotated data, which are costly and labor-intensive to obtain. Semi-supervised learning (SSL) mitigates this issue by leveraging large volumes of unlabeled data, but most SSL methods rely solely on visual cues and often fail to capture subtle structures or low-contrast regions common in medical imaging. To address this limitation, we present <bold>LanDy</b>, a Language-Prompted Dynamic Learning framework for semi-supervised medical image segmentation. LanDy introduces textual semantics from medical descriptions to enrich visual representations and reduce the ambiguity of pseudo-labels. Concretely, textual embeddings dynamically modulate convolutional filters to provide context-aware feature extraction, while a text-guided refinement mechanism improves the reliability of pseudo-labels on unlabeled data. Extensive experiments on benchmark datasets demonstrate that LanDy consistently outperforms state-of-the-art SSL methods, delivering more accurate and robust segmentation under annotation-efficient settings.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"668-672"},"PeriodicalIF":3.9,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-31DOI: 10.1109/LSP.2025.3649602
Changyong Xu;Bo Chen;Rusheng Wang;Zheming Wang
This letter investigates the distributed fusion estimation problem for uncertain systems, where noise statistics are unavailable. A scenario optimization framework is employed to handle model uncertainties, in which sampled uncertainty realizations are transformed into linear matrix inequality (LMI) constraints. By solving the resulting convex problems, local estimator gains are obtained, ensuring bounded mean-square error. Furthermore, an explicit upper bound for the fusion error is derived, and optimal fusion weights are determined through an LMI-based criterion. Finally, target tracking systems are provided to demonstrate the advantages and effectiveness of the proposed methods. The influence of the violation and confidence parameters on estimation accuracy and computational complexity is further analyzed.
{"title":"Scenario-Based Distributed Fusion Estimation for Uncertain Systems With Bounded Noise","authors":"Changyong Xu;Bo Chen;Rusheng Wang;Zheming Wang","doi":"10.1109/LSP.2025.3649602","DOIUrl":"https://doi.org/10.1109/LSP.2025.3649602","url":null,"abstract":"This letter investigates the distributed fusion estimation problem for uncertain systems, where noise statistics are unavailable. A scenario optimization framework is employed to handle model uncertainties, in which sampled uncertainty realizations are transformed into linear matrix inequality (LMI) constraints. By solving the resulting convex problems, local estimator gains are obtained, ensuring bounded mean-square error. Furthermore, an explicit upper bound for the fusion error is derived, and optimal fusion weights are determined through an LMI-based criterion. Finally, target tracking systems are provided to demonstrate the advantages and effectiveness of the proposed methods. The influence of the violation and confidence parameters on estimation accuracy and computational complexity is further analyzed.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"569-573"},"PeriodicalIF":3.9,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-26DOI: 10.1109/LSP.2025.3648967
Haoyi Zhao;Zeyu Xiao;Zihan Qi;Yang Zhao;Wei Jia
Atmospheric turbulence induces coupled spatio-temporal distortions, including blur, geometric deformation, and temporal jitter, which severely degrade image quality.We propose EvTurM, a practical framework leveraging event camera data for dynamic turbulence mitigation with precise motion cues and stable temporal modeling. Leveraging the high temporal resolution and dynamic range of events, EvTurM achieves robust restoration under diverse turbulence conditions. EvTurM comprises two key modules: (1) the event-aware modality enhancement module, which uses event-derived motion to enrich RGB features and recover structural details, and (2) the bidirectional modality calibration module, which jointly aligns RGB and event features in forward and backward propagation to reduce misalignment and enhance temporal consistency. Extensive experiments show EvTurM consistently surpasses existing methods and achieves superior performance.
{"title":"Event-Based Dynamic Turbulence Mitigation","authors":"Haoyi Zhao;Zeyu Xiao;Zihan Qi;Yang Zhao;Wei Jia","doi":"10.1109/LSP.2025.3648967","DOIUrl":"https://doi.org/10.1109/LSP.2025.3648967","url":null,"abstract":"Atmospheric turbulence induces coupled spatio-temporal distortions, including blur, geometric deformation, and temporal jitter, which severely degrade image quality.We propose EvTurM, a practical framework leveraging event camera data for dynamic turbulence mitigation with precise motion cues and stable temporal modeling. Leveraging the high temporal resolution and dynamic range of events, EvTurM achieves robust restoration under diverse turbulence conditions. EvTurM comprises two key modules: (1) the event-aware modality enhancement module, which uses event-derived motion to enrich RGB features and recover structural details, and (2) the bidirectional modality calibration module, which jointly aligns RGB and event features in forward and backward propagation to reduce misalignment and enhance temporal consistency. Extensive experiments show EvTurM consistently surpasses existing methods and achieves superior performance.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"564-568"},"PeriodicalIF":3.9,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-26DOI: 10.1109/LSP.2025.3648910
Xiaoqiang Long;Haiquan Zhao;Xinyan Hou
Traditional single-kernel or fixed-center multi-kernel collaborative correntropies fundamentally assume that errors primarily cluster around a central point (typically zero). However, in real-world complex noise environments—such as those generated by mixed interference sources with diverse mechanisms—errors may exhibit multi-modal or highly asymmetric statistical characteristics. In such cases, a single central point or multi-kernels fixed at the origin cannot effectively capture the true shape of the error distribution. To address these problems, this letter proposes a novel robust learning algorithm by introducing variable-center multi-kernel correntropy into an asymmetric correntropy framework, where the kernel centers can be positioned at arbitrary locations. Compared with the maximum asymmetric correntropy criterion (MACC) algorithm, the proposed approach offers a more generalized formulation that enhances its capability to handle more complex error distributions, thereby improving algorithm performance. Notably, existing literature has not yet provided theoretical analysis for such variable-center multi-kernel asymmetric correntropy robust algorithms. Therefore, the main contributions of this work include: conducting the first theoretical analysis of the proposed algorithm, and validating the effectiveness of the analytical methodology.
{"title":"Multi-Kernel Maximum Asymmetric Correntropy Criterion: Foundation and Analysis","authors":"Xiaoqiang Long;Haiquan Zhao;Xinyan Hou","doi":"10.1109/LSP.2025.3648910","DOIUrl":"https://doi.org/10.1109/LSP.2025.3648910","url":null,"abstract":"Traditional single-kernel or fixed-center multi-kernel collaborative correntropies fundamentally assume that errors primarily cluster around a central point (typically zero). However, in real-world complex noise environments—such as those generated by mixed interference sources with diverse mechanisms—errors may exhibit multi-modal or highly asymmetric statistical characteristics. In such cases, a single central point or multi-kernels fixed at the origin cannot effectively capture the true shape of the error distribution. To address these problems, this letter proposes a novel robust learning algorithm by introducing variable-center multi-kernel correntropy into an asymmetric correntropy framework, where the kernel centers can be positioned at arbitrary locations. Compared with the maximum asymmetric correntropy criterion (MACC) algorithm, the proposed approach offers a more generalized formulation that enhances its capability to handle more complex error distributions, thereby improving algorithm performance. Notably, existing literature has not yet provided theoretical analysis for such variable-center multi-kernel asymmetric correntropy robust algorithms. Therefore, the main contributions of this work include: conducting the first theoretical analysis of the proposed algorithm, and validating the effectiveness of the analytical methodology.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"411-415"},"PeriodicalIF":3.9,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-26DOI: 10.1109/LSP.2025.3648640
Zhen Gao;Yiping Jiang;Rong Yang;Xingqun Zhan
Recovering signals from noisy observations remains challenging due to the ill-posedness of inverse problems. While non-convex regularization methods like the standard Cauchy penalty improve estimation accuracy, it lacks adaptability across diverse scenarios. In response, this letter proposes a fractional-order Cauchy (q-Cauchy) penalty inspired by the Lq maximum likelihood estimation. By introducing the parameter $q$, the q-Cauchy penalty achieves greater adaptability in diverse scenarios. Specifically, we also derive sufficient convexity conditions for its proximal operator and propose a forward-backward solver. Simulation results demonstrate that the q-Cauchy with the appropriate $q$ outperforms the baseline methods in both 1D signal denoising and 2D image deblurring tasks.
{"title":"A Fractional-Order Cauchy Penalty With Enhanced Adaptability for Signal Recovery","authors":"Zhen Gao;Yiping Jiang;Rong Yang;Xingqun Zhan","doi":"10.1109/LSP.2025.3648640","DOIUrl":"https://doi.org/10.1109/LSP.2025.3648640","url":null,"abstract":"Recovering signals from noisy observations remains challenging due to the ill-posedness of inverse problems. While non-convex regularization methods like the standard Cauchy penalty improve estimation accuracy, it lacks adaptability across diverse scenarios. In response, this letter proposes a fractional-order Cauchy (q-Cauchy) penalty inspired by the Lq maximum likelihood estimation. By introducing the parameter <inline-formula><tex-math>$q$</tex-math></inline-formula>, the q-Cauchy penalty achieves greater adaptability in diverse scenarios. Specifically, we also derive sufficient convexity conditions for its proximal operator and propose a forward-backward solver. Simulation results demonstrate that the q-Cauchy with the appropriate <inline-formula><tex-math>$q$</tex-math></inline-formula> outperforms the baseline methods in both 1D signal denoising and 2D image deblurring tasks.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":"33 ","pages":"456-460"},"PeriodicalIF":3.9,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}