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Stemming from information-theoretic learning, the correntropy criterion and its applications to machine learning tasks have been extensively explored and studied. Its application to regression problems leads to the robustness enhanced…

Machine Learning · Computer Science 2020-07-23 Yunlong Feng

In this paper we investigate the usage of regularized correntropy framework for learning of classifiers from noisy labels. The class label predictors learned by minimizing transitional loss functions are sensitive to the noisy and outlying…

Machine Learning · Computer Science 2015-01-20 Jim Jing-Yan Wang , Yunji Wang , Bing-Yi Jing , Xin Gao

In recent years, correntropy has been seccessfully applied to robust adaptive filtering to eliminate adverse effects of impulsive noises or outliers. Correntropy is generally defined as the expectation of a Gaussian kernel between two…

Signal Processing · Electrical Eng. & Systems 2021-11-02 Badong Chen , Yuqing Xie , Zhuang Li , Yingsong Li , Pengju Ren

Bayesian learning provides a unified skeleton to solve the electrophysiological source imaging task. From this perspective, existing source imaging algorithms utilize the Gaussian assumption for the observation noise to build the likelihood…

Machine Learning · Computer Science 2025-08-07 Yuanhao Li , Badong Chen , Zhongxu Hu , Keita Suzuki , Wenjun Bai , Yasuharu Koike , Okito Yamashita

As a novel similarity measure that is defined as the expectation of a kernel function between two random variables, correntropy has been successfully applied in robust machine learning and signal processing to combat large outliers. The…

Machine Learning · Computer Science 2021-09-07 Badong Chen , Yuqing Xie , Xin Wang , Zejian yuan , Pengju Ren , Jing Qin

Sparse Bayesian learning has promoted many effective frameworks for brain activity decoding, especially for the reconstruction of muscle activity. However, existing sparse Bayesian learning mainly employs Gaussian distribution as error…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Yuanhao Li , Badong Chen , Natsue Yoshimura , Yasuharu Koike , Okito Yamashita

Recent studies have utilized sparse classifications to predict categorical variables from high-dimensional brain activity signals to expose human's intentions and mental states, selecting the relevant features automatically in the model…

Machine Learning · Computer Science 2025-08-07 Yuanhao Li , Badong Chen , Yuxi Shi , Natsue Yoshimura , Yasuharu Koike

Recent work has shown that Transformers can perform in-context learning for linear regression under restrictive assumptions, including i.i.d. data, Gaussian noise, and Gaussian regression coefficients. However, real-world data often violate…

Machine Learning · Computer Science 2026-03-20 Hoang T. H. Cao , Hai D. V. Trinh , Tho Quan , Lan V. Truong

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

Machine Learning · Statistics 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although correntropy has been used with complex data, no theoretical study was pursued…

Information Theory · Computer Science 2016-08-19 João Paulo Ferreira Guimarães

Providing non-conservative uncertainty quantification for function estimates derived from noisy observations remains a fundamental challenge in statistical machine learning, particularly for applications in safety-critical domains. In this…

Machine Learning · Computer Science 2026-05-12 Johannes Teutsch , Oleksii Molodchyk , Marion Leibold , Timm Faulwasser , Armin Lederer

The maximum correntropy criterion (MCC) has recently been successfully applied in robust regression, classification and adaptive filtering, where the correntropy is maximized instead of minimizing the well-known mean square error (MSE) to…

Machine Learning · Statistics 2017-11-27 Badong Chen , Lei Xing , Haiquan Zhao , Bin Xu , Jose C. Principe

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although it has been used with complex data, some adaptations were then necessary…

Information Theory · Computer Science 2016-06-16 João P. F. Guimarães , Aluisio I. R. Fontes , Joilson B. A. Rego , Allan de M. Martins

We develop a robust quaternion recurrent neural network (QRNN) for real-time processing of 3D and 4D data with outliers. This is achieved by combining the real-time recurrent learning (RTRL) algorithm and the maximum correntropy criterion…

Machine Learning · Computer Science 2024-04-04 Pauline Bourigault , Dongpo Xu , Danilo P. Mandic

To analyze marine animals behavior, seasonal distribution and abundance, digital imagery can be acquired by visual or Lidar camera. Depending on the quantity and properties of acquired imagery, the animals are characterized as either…

Computer Vision and Pattern Recognition · Computer Science 2017-05-04 Zheng Cao , Shujian Yu , Bing Ouyang , Fraser Dalgleish , Anni Vuorenkoski , Gabriel Alsenas , Jose Principe

Causal discovery from observational data is an important but challenging task in many scientific fields. Recently, a method with non-combinatorial directed acyclic constraint, called NOTEARS, formulates the causal structure learning problem…

Machine Learning · Computer Science 2023-10-31 Weilin Chen , Jie Qiao , Ruichu Cai , Zhifeng Hao

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

In this paper, we address the problem of how to robustly train a ConvNet for regression, or deep robust regression. Traditionally, deep regression employs the L2 loss function, known to be sensitive to outliers, i.e. samples that either lie…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Stéphane Lathuilière , Pablo Mesejo , Xavier Alameda-Pineda , Radu Horaud

The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise…

Statistical Mechanics · Physics 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

Consistency regularization is a commonly-used technique for semi-supervised and self-supervised learning. It is an auxiliary objective function that encourages the prediction of the network to be similar in the vicinity of the observed…

Machine Learning · Computer Science 2021-10-05 Erik Englesson , Hossein Azizpour
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