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Effective regularization techniques are highly desired in deep learning for alleviating overfitting and improving generalization. This work proposes a new regularization scheme, based on the understanding that the flat local minima of the…

Machine Learning · Computer Science 2021-05-10 Yaowei Zheng , Richong Zhang , Yongyi Mao

Time series anomaly detection is important in modern large-scale systems and is applied in a variety of domains to analyze and monitor the operation of diverse systems. Unsupervised approaches have received widespread interest, as they do…

Machine Learning · Computer Science 2025-10-23 Buang Zhang , Tung Kieu , Xiangfei Qiu , Chenjuan Guo , Jilin Hu , Aoying Zhou , Christian S. Jensen , Bin Yang

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

Machine Learning · Computer Science 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

Unsupervised anomaly detection (AD) is a challenging task in realistic applications. Recently, there is an increasing trend to detect anomalies with deep neural networks (DNN). However, most popular deep AD detectors cannot protect the…

Machine Learning · Computer Science 2022-05-31 Shaoshen Wang , Yanbin Liu , Ling Chen , Chengqi Zhang

We propose a novel regularizer to improve the training of Generative Adversarial Networks (GANs). The motivation is that when the discriminator D spreads out its model capacity in the right way, the learning signals given to the generator G…

Machine Learning · Computer Science 2018-05-11 Yanshuai Cao , Gavin Weiguang Ding , Kry Yik-Chau Lui , Ruitong Huang

We propose a unified class of calibration weighting methods based on weighted generalized entropy to handle missing at random (MAR) data with improved stability and efficiency. The proposed generalized entropy calibration (GEC) formulates…

Methodology · Statistics 2025-11-07 Yonghyun Kwon , Jae Kwang Kim , Yumou Qiu

The current state-of-the-art defense methods against adversarial examples typically focus on improving either empirical or certified robustness. Among them, adversarially trained (AT) models produce empirical state-of-the-art defense…

Machine Learning · Computer Science 2022-08-02 Jay Nandy , Sudipan Saha , Wynne Hsu , Mong Li Lee , Xiao Xiang Zhu

Predictive performance of machine learning models trained with empirical risk minimization (ERM) can degrade considerably under distribution shifts. The presence of spurious correlations in training datasets leads ERM-trained models to…

Machine Learning · Computer Science 2023-02-08 Simon Roburin , Charles Corbière , Gilles Puy , Nicolas Thome , Matthieu Aubry , Renaud Marlet , Patrick Pérez

We study model evaluation and model selection from the perspective of generalization ability (GA): the ability of a model to predict outcomes in new samples from the same population. We believe that GA is one way formally to address…

Machine Learning · Statistics 2016-10-19 Ning Xu , Jian Hong , Timothy C. G. Fisher

Industry 4.0 aims to optimize the manufacturing environment by leveraging new technological advances, such as new sensing capabilities and artificial intelligence. The DRAEM technique has shown state-of-the-art performance for unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Jože M. Rožanec , Patrik Zajec , Spyros Theodoropoulos , Erik Koehorst , Blaž Fortuna , Dunja Mladenić

Although the recent progress is substantial, deep learning methods can be vulnerable to the maliciously generated adversarial examples. In this paper, we present a novel training procedure and a thresholding test strategy, towards robust…

Machine Learning · Computer Science 2018-11-08 Tianyu Pang , Chao Du , Yinpeng Dong , Jun Zhu

Entropy Minimization (EM) is beneficial to reducing class overlap, bridging domain gap, and restricting uncertainty for various tasks in machine learning, yet its potential is limited. To study the internal mechanism of EM, we reformulate…

Machine Learning · Computer Science 2025-11-06 Jing Ma , Hanlin Li , Xiang Xiang

Recent developments in system identification have brought attention to regularized kernel-based methods. This type of approach has been proven to compare favorably with classic parametric methods. However, current formulations are not…

Systems and Control · Computer Science 2016-11-25 Giulio Bottegal , Aleksandr Y. Aravkin , Håkan Hjalmarsson , Gianluigi Pillonetto

In this paper, we propose a novel \emph{uncertainty-aware graph self-training} approach for semi-supervised node classification. Our method introduces an Expectation-Maximization (EM) regularization scheme to incorporate an uncertainty…

Machine Learning · Computer Science 2025-07-31 Emily Wang , Michael Chen , Chao Li

Flat regions of the neural network loss landscape have long been hypothesized to correlate with better generalization properties. A closely related but distinct problem is training models that are robust to internal perturbations to their…

Machine Learning · Computer Science 2026-02-10 Philip Jacobson , Ben Feinberg , Suhas Kumar , Sapan Agarwal , T. Patrick Xiao , Christopher Bennett

Though deep learning has been applied successfully in many scenarios, malicious inputs with human-imperceptible perturbations can make it vulnerable in real applications. This paper proposes an error-correcting neural network (ECNN) that…

Machine Learning · Computer Science 2021-05-10 Yang Song , Qiyu Kang , Wee Peng Tay

In this paper, online linear regression in environments corrupted by non-Gaussian noise (especially heavy-tailed noise) is addressed. In such environments, the error between the system output and the label also does not follow a Gaussian…

Information Theory · Computer Science 2021-05-13 Sajjad Bahrami , Ertem Tuncel

We propose Gumbel Noise Score Matching (GNSM), a novel unsupervised method to detect anomalies in categorical data. GNSM accomplishes this by estimating the scores, i.e. the gradients of log likelihoods w.r.t.~inputs, of continuously…

Machine Learning · Computer Science 2023-04-07 Ahsan Mahmood , Junier Oliva , Martin Styner

The standard empirical risk minimization (ERM) can underperform on certain minority groups (i.e., waterbirds in lands or landbirds in water) due to the spurious correlation between the input and its label. Several studies have improved the…

Machine Learning · Computer Science 2022-12-15 Dongpin Oh , Dae Lee , Jeunghyun Byun , Bonggun Shin

Many modern datasets are collected automatically and are thus easily contaminated by outliers. This led to a regain of interest in robust estimation, including new notions of robustness such as robustness to adversarial contamination of the…

Statistics Theory · Mathematics 2023-05-05 Pierre Alquier , Mathieu Gerber