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Rigidity Aspects of Penrose's Singularity Theorem. [PDF]

Commun Math Phys
Galloway G, Ling E.
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The Kernel Recursive Generalized Cauchy Kernel Loss Algorithm

2019 6th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS), 2019
As a nonlinear measure similarity developed in a kernel space, the generalized correntropic loss (GC-Loss) has been successfully used for signal processing and machine learning in non-Gaussian situations thanks to its ability of extracting high-order statistical properties of data.
Wei Shi, Kui Xiong, Shiyuan Wang
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Cauchy kernel-based maximum correntropy Kalman filter

International Journal of Systems Science, 2020
Non-Gaussian noise processing is a difficult and hot spot in the study of filters. A currently effective method to deal with non-Gaussian noise is replacing the minimum mean square error criterion ...
Jiongqi Wang, Donghui Lyu, Zhangming He, Haiyin Zhou, Dayi Wang   +4 more
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Minimum Cauchy Kernel Loss Based Robust Cubature Kalman Filter and Its Low Complexity Cost Version With Application on INS/OD Integrated Navigation System

IEEE Sensors Journal, 2022
This article focuses on addressing the non-linear state estimations problem of measurement noise with non-Gaussian distribution, which is critical for the performance of the inertial navigation system (INS)/odometer (OD) integrated navigation system ...
Qingwen Meng, Xuyou Li
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Robust Cauchy Kernel Conjugate Gradient Algorithm for Non-Gaussian Noises

IEEE Signal Processing Letters, 2021
The Cauchy loss (CL) is a high-order loss function which has been successfully used to overcome large outliers in kernel adaptive filters. The squared error in the CL is then transformed into a reproducing kernel Hilbert space (RKHS) to generate the ...
Letian Qi, Minglin Shen, Daili Wang, Shiyuan Wang   +3 more
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Cauchy kernel minimum error entropy centralized fusion filter

Signal Processing
Xiaoliang Feng, Changsheng Wu, Quanbo Ge
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Algorithms for generalized cauchy kernels

Complex Variables, Theory and Application: An International Journal, 1983
First order, elliptic, systems in the plane are discussed. A recursive scheme is obtained for constructing their generalized Cauchy kernels. To this end, the initial problem for the kernels is posed as second order, complex, hyperbolic problems with dependent Goursat data. As an illustration of the method, the case with constant coefficients is treated
Robert P. Gilbert, Lin Wei
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Enhanced Batch Adaptive Filter Based on Fractional-Order Generalized Cauchy Kernel Loss

IEEE Signal Processing Letters
Adaptive filters utilizing the low-order moments hidden in robust loss functions have achieved desirable performance under Gaussian input and impulsive noises.
Mingjing Cui, Yunxiang Jiang, Dongyuan Lin, Shiyuan Wang, Fuliang He   +4 more
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