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Universal approximation serves as the foundation of neural network learning algorithms. However, some networks establish their universal approximation property by demonstrating that the iterative errors converge in probability measure…

Machine Learning · Computer Science 2025-11-21 Han Su , Zhongyan Li , Wanquan Liu

Machine unlearning, the efficient deletion of the impact of specific data in a trained model, remains a challenging problem. Current machine unlearning approaches that focus primarily on data-centric or weight-based strategies frequently…

Machine Learning · Computer Science 2025-08-07 Thang Duc Tran , Thai Hoang Le

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

Robotics · Computer Science 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

Contrastive Learning (CL) has been proved to be a powerful self-supervised approach for a wide range of domains, including computer vision and graph representation learning. However, the incremental learning issue of CL has rarely been…

Machine Learning · Computer Science 2023-01-31 Cheng Ji , Jianxin Li , Hao Peng , Jia Wu , Xingcheng Fu , Qingyun Sun , Phillip S. Yu

The primary objective of methods in continual learning is to learn tasks in a sequential manner over time (sometimes from a stream of data), while mitigating the detrimental phenomenon of catastrophic forgetting. This paper proposes a…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Nisha L. Raichur , Lucas Heublein , Tobias Feigl , Alexander Rügamer , Christopher Mutschler , Felix Ott

Multi-task learning (MTL) considers learning a joint model for multiple tasks by optimizing a convex combination of all task losses. To solve the optimization problem, existing methods use an adaptive weight updating scheme, where task…

Machine Learning · Computer Science 2024-07-22 Yifei He , Shiji Zhou , Guojun Zhang , Hyokun Yun , Yi Xu , Belinda Zeng , Trishul Chilimbi , Han Zhao

Dynamic data pruning accelerates deep learning by selectively omitting less informative samples during training. While per-sample loss is a common importance metric, obtaining it can be challenging or infeasible for complex models or loss…

Machine Learning · Computer Science 2026-04-07 Qing Zhou , Bingxuan Zhao , Tao Yang , Hongyuan Zhang , Junyu Gao , Qi Wang

Large batch size training in deep neural networks (DNNs) possesses a well-known 'generalization gap' that remarkably induces generalization performance degradation. However, it remains unclear how varying batch size affects the structure of…

Machine Learning · Computer Science 2020-12-17 Fengli Gao , Huicai Zhong

This paper proposes the recursive and square-root BLS algorithms to improve the original BLS for new added inputs, which utilize the inverse and inverse Cholesky factor of the Hermitian matrix in the ridge inverse, respectively, to update…

Machine Learning · Computer Science 2023-01-26 Hufei Zhu

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

Robust matrix completion aims to recover a low-rank matrix from a subset of noisy entries perturbed by complex noises, where traditional methods for matrix completion may perform poorly due to utilizing $l_2$ error norm in optimization. In…

Information Theory · Computer Science 2020-02-19 Yicong He , Fei Wang , Yingsong Li , Jing Qin , Badong Chen

State-of-the-art pre-trained image models predominantly adopt a two-stage approach: initial unsupervised pre-training on large-scale datasets followed by task-specific fine-tuning using Cross-Entropy loss~(CE). However, it has been…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Zijun Long , George Killick , Lipeng Zhuang , Gerardo Aragon-Camarasa , Zaiqiao Meng , Richard Mccreadie

Least squares (LS)-based subset selection methods are popular in linear regression modeling. Best subset selection (BS) is known to be NP-hard and has a computational cost that grows exponentially with the number of predictors. Recently,…

Methodology · Statistics 2021-03-09 Sen Tian , Clifford M. Hurvich , Jeffrey S. Simonoff

Contrastive Learning (CL) performances as a rising approach to address the challenge of sparse and noisy recommendation data. Although having achieved promising results, most existing CL methods only perform either hand-crafted data or…

Information Retrieval · Computer Science 2023-11-22 Xiuyuan Qin , Huanhuan Yuan , Pengpeng Zhao , Junhua Fang , Fuzhen Zhuang , Guanfeng Liu , Victor Sheng

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

Continual learning models allow to learn and adapt to new changes and tasks over time. However, in continual and sequential learning scenarios in which the models are trained using different data with various distributions, neural networks…

Machine Learning · Computer Science 2020-08-17 HongLin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

Correntropy is a local similarity measure defined in kernel space and the maximum correntropy criterion (MCC) has been successfully applied in many areas of signal processing and machine learning in recent years. The kernel function in…

Machine Learning · Statistics 2019-07-24 Badong Chen , Xin Wang , Yingsong Li , Jose C. Principe

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

In this brief, we improve the Broad Learning System (BLS) [7] by reducing the computational complexity of the incremental learning for added inputs. We utilize the inverse of a sum of matrices in [8] to improve a step in the pseudoinverse…

Machine Learning · Computer Science 2022-11-21 Hufei Zhu , Zhulin Liu , C. L. Philip Chen , Yanyang Liang

Maximum correntropy criterion regression (MCCR) models have been well studied within the frame of statistical learning when the scale parameters take fixed values or go to infinity. This paper studies the MCCR models with tending-to-zero…

Machine Learning · Statistics 2021-10-26 Ying Jing , Lianqiang Yang