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A crucial aspect in reliable machine learning is to design a deployable system in generalizing new related but unobserved environments. Domain generalization aims to alleviate such a prediction gap between the observed and unseen…

Machine Learning · Computer Science 2021-06-01 Changjian Shui , Boyu Wang , Christian Gagné

Many machine learning algorithms have been developed under the assumption that data sets are already available in batch form. Yet in many application domains data is only available sequentially overtime via compute nodes in different…

Optimization and Control · Mathematics 2020-09-10 Alfredo Garcia , Luochao Wang , Jeff Huang , Lingzhou Hong

Though remarkable progress has been achieved in various vision tasks, deep neural networks still suffer obvious performance degradation when tested in out-of-distribution scenarios. We argue that the feature statistics (mean and standard…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Xiaotong Li , Yongxing Dai , Yixiao Ge , Jun Liu , Ying Shan , Ling-Yu Duan

While it is widely known that neural networks are universal approximators of continuous functions, a less known and perhaps more powerful result is that a neural network with a single hidden layer can approximate accurately any nonlinear…

Machine Learning · Computer Science 2021-11-03 Lu Lu , Pengzhan Jin , George Em Karniadakis

Overfitting is one of the most critical challenges in deep neural networks, and there are various types of regularization methods to improve generalization performance. Injecting noises to hidden units during training, e.g., dropout, is…

Machine Learning · Computer Science 2017-11-10 Hyeonwoo Noh , Tackgeun You , Jonghwan Mun , Bohyung Han

Along with the rapid development of deep learning in practice, the theoretical explanations for its success become urgent. Generalization and expressivity are two widely used measurements to quantify theoretical behaviors of deep learning.…

Machine Learning · Computer Science 2018-03-26 Shao-Bo Lin

Recent advances in diffusion models show promising potential to accelerate nonconvex problem solving by leveraging their multimodality. However, most existing diffusion-based optimization approaches rely on supervised learning and lack a…

Machine Learning · Computer Science 2026-05-29 Shutong Ding , Yimiao Zhou , Ke Hu , Xi Yao , Junchi Yan , Xiaoying Tang , Ye Shi

Neural networks have greatly boosted performance in computer vision by learning powerful representations of input data. The drawback of end-to-end training for maximal overall performance are black-box models whose hidden representations…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Patrick Esser , Robin Rombach , Björn Ommer

Graph neural networks (GNNs) integrate deep architectures and topological structure modeling in an effective way. However, the performance of existing GNNs would decrease significantly when they stack many layers, because of the…

Machine Learning · Computer Science 2021-07-07 Kaixiong Zhou , Xiao Huang , Daochen Zha , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu

Batch Normalization (BatchNorm) is a widely adopted technique that enables faster and more stable training of deep neural networks (DNNs). Despite its pervasiveness, the exact reasons for BatchNorm's effectiveness are still poorly…

Machine Learning · Statistics 2019-04-16 Shibani Santurkar , Dimitris Tsipras , Andrew Ilyas , Aleksander Madry

Although supervised deep normal estimators have recently shown impressive results on synthetic benchmarks, their performance deteriorates significantly in real-world scenarios due to the domain gap between synthetic and real data. Building…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Jie Zhang , Minghui Nie , Changqing Zou , Jian Liu , Ligang Liu , Junjie Cao

The accuracy of deep learning, i.e., deep neural networks, can be characterized by dividing the total error into three main types: approximation error, optimization error, and generalization error. Whereas there are some satisfactory…

Machine Learning · Statistics 2021-11-03 Pengzhan Jin , Lu Lu , Yifa Tang , George Em Karniadakis

Machine learning models have achieved, and in some cases surpassed, human-level performance in various tasks, mainly through centralized training of static models and the use of large models stored in centralized clouds for inference.…

Machine Learning · Computer Science 2025-06-02 Hesham G. Moussa , Arashmid Akhavain , S. Maryam Hosseini , Bill McCormick

Deep neural networks have demonstrated impressive performance in various machine learning tasks. However, they are notoriously sensitive to changes in data distribution. Often, even a slight change in the distribution can lead to drastic…

Computer Vision and Pattern Recognition · Computer Science 2018-11-16 Alon Hazan , Yoel Shoshan , Daniel Khapun , Roy Aladjem , Vadim Ratner

Significant advances have been made recently on training neural networks, where the main challenge is in solving an optimization problem with abundant critical points. However, existing approaches to address this issue crucially rely on a…

Machine Learning · Computer Science 2019-02-28 Weihao Gao , Ashok Vardhan Makkuva , Sewoong Oh , Pramod Viswanath

We study the recently introduced stability training as a general-purpose method to increase the robustness of deep neural networks against input perturbations. In particular, we explore its use as an alternative to data augmentation and…

Machine Learning · Computer Science 2019-11-14 Jan Laermann , Wojciech Samek , Nils Strodthoff

Regularizing neural networks is important for anticipating model behavior in regions of the data space that are not well represented. In this work, we propose a regularization technique for enforcing a level of smoothness in the mapping…

Machine Learning · Computer Science 2025-03-05 Ali Hasan , Haoming Yang , Yuting Ng , Vahid Tarokh

Incorporating prior knowledge or specifications of input-output relationships into machine learning models has attracted significant attention, as it enhances generalization from limited data and yields conforming outputs. However, most…

Machine Learning · Computer Science 2025-10-21 Youngjae Min , Navid Azizan

Large neural networks are very successful in various tasks. However, with limited data, the generalization capabilities of deep neural networks are also very limited. In this paper, we empirically start showing that intrinsically sparse…

Neural and Evolutionary Computing · Computer Science 2019-06-28 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy

Deep unfolding networks have recently gained popularity in the context of solving imaging inverse problems. However, the computational and memory complexity of data-consistency layers within traditional deep unfolding networks scales with…

Image and Video Processing · Electrical Eng. & Systems 2021-06-04 Jiaming Liu , Yu Sun , Weijie Gan , Xiaojian Xu , Brendt Wohlberg , Ulugbek S. Kamilov