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Push-Sum-based decentralized learning enables optimization over directed communication networks, where information exchange may be asymmetric. While convergence properties of such methods are well understood, their finite-iteration…

机器学习 · 计算机科学 2026-02-25 Yifei Liang , Yan Sun , Xiaochun Cao , Li Shen

This paper investigates the iterates $\hbb^1,\dots,\hbb^T$ obtained from iterative algorithms in high-dimensional linear regression problems, in the regime where the feature dimension $p$ is comparable with the sample size $n$, i.e., $p…

机器学习 · 统计学 2024-04-30 Pierre C. Bellec , Kai Tan

The success of deep learning has led to a rising interest in the generalization property of the stochastic gradient descent (SGD) method, and stability is one popular approach to study it. Existing works based on stability have studied…

机器学习 · 统计学 2019-03-08 Yi Zhou , Yingbin Liang , Huishuai Zhang

The distribution shifts between training and test data typically undermine the performance of models. In recent years, lots of work pays attention to domain generalization (DG) where distribution shifts exist, and target data are unseen.…

机器学习 · 计算机科学 2024-01-05 Wang Lu , Jindong Wang , Yidong Wang , Xing Xie

For semi-supervised learning with imbalance classes, the long-tailed distribution of data will increase the model prediction bias toward dominant classes, undermining performance on less frequent classes. Existing methods also face…

计算机视觉与模式识别 · 计算机科学 2024-01-10 Kuo Yang , Duo Li , Menghan Hu , Guangtao Zhai , Xiaokang Yang , Xiao-Ping Zhang

Techniques for understanding the functioning of complex machine learning models are becoming increasingly popular, not only to improve the validation process, but also to extract new insights about the data via exploratory analysis. Though…

机器学习 · 统计学 2018-11-02 Jayaraman J. Thiagarajan , Irene Kim , Rushil Anirudh , Peer-Timo Bremer

Reliable uncertainty quantification in deep neural networks is very crucial in safety-critical applications such as automated driving for trustworthy and informed decision-making. Assessing the quality of uncertainty estimates is…

计算机视觉与模式识别 · 计算机科学 2022-12-12 Neslihan Kose , Ranganath Krishnan , Akash Dhamasia , Omesh Tickoo , Michael Paulitsch

Reliable uncertainty from deterministic single-forward pass models is sought after because conventional methods of uncertainty quantification are computationally expensive. We take two complex single-forward-pass uncertainty approaches, DUQ…

机器学习 · 计算机科学 2022-01-31 Jishnu Mukhoti , Andreas Kirsch , Joost van Amersfoort , Philip H. S. Torr , Yarin Gal

Understanding generalization in deep neural networks is an active area of research. A promising avenue of exploration has been that of margin measurements: the shortest distance to the decision boundary for a given sample or that sample's…

机器学习 · 计算机科学 2024-05-29 Coenraad Mouton

Uncertainty sets are at the heart of robust optimization (RO) because they play a key role in determining the RO models' tractability, robustness, and conservativeness. Different types of uncertainty sets have been proposed that model…

最优化与控制 · 数学 2021-07-13 Meysam Cheramin , Richard Li-Yang Chen , Jianqiang Cheng , Ali Pinar

Stochastic programming is often challenged by epistemic uncertainty, where critical probability distributions are poorly characterized or unknown due to a lack of data. To address this, we pioneer a novel framework for stochastic…

最优化与控制 · 数学 2026-05-19 Shixin Liu , Ming Gao , Jian Hu

We study the generalization properties of the popular stochastic optimization method known as stochastic gradient descent (SGD) for optimizing general non-convex loss functions. Our main contribution is providing upper bounds on the…

机器学习 · 计算机科学 2021-08-17 Gergely Neu , Gintare Karolina Dziugaite , Mahdi Haghifam , Daniel M. Roy

Decision makers may suffer from uncertainty induced by limited data. This may be mitigated by accounting for epistemic uncertainty, which is however challenging to estimate efficiently for large neural networks. To this extent we…

机器学习 · 计算机科学 2026-05-01 Simon Schmitt , John Shawe-Taylor , Hado van Hasselt

Modelling uncertainty in Machine Learning models is essential for achieving safe and reliable predictions. Most research on uncertainty focuses on output uncertainty (predictions), but minimal attention is paid to uncertainty at inputs. We…

机器学习 · 计算机科学 2024-06-28 Matias Valdenegro-Toro , Ivo Pascal de Jong , Marco Zullich

The univariate dimension reduction (UDR) method stands as a way to estimate the statistical moments of the output that is effective in a large class of uncertainty quantification (UQ) problems. UDR's fundamental strategy is to approximate…

计算工程、金融与科学 · 计算机科学 2024-10-17 Bingran Wang , Nicholas C. Orndorff , Mark Sperry , John T. Hwang

This paper concerns the study of optimal (supremum and infimum) uncertainty bounds for systems where the input (or prior) probability measure is only partially/imperfectly known (e.g., with only statistical moments and/or on a coarse…

机器学习 · 计算机科学 2023-01-02 Xingsheng Sun , Burigede Liu

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…

计算机视觉与模式识别 · 计算机科学 2022-04-25 Xiaotong Li , Yongxing Dai , Yixiao Ge , Jun Liu , Ying Shan , Ling-Yu Duan

As we move away from the data, the predictive uncertainty should increase, since a great variety of explanations are consistent with the little available information. We introduce Distance-Aware Prior (DAP) calibration, a method to correct…

机器学习 · 统计学 2022-07-19 Gianluca Detommaso , Alberto Gasparin , Andrew Wilson , Cedric Archambeau

Generalization is one of the fundamental issues in machine learning. However, traditional techniques like uniform convergence may be unable to explain generalization under overparameterization. As alternative approaches, techniques based on…

机器学习 · 计算机科学 2022-03-22 Jiaye Teng , Jianhao Ma , Yang Yuan

Deep Neural Networks can generalize despite being significantly overparametrized. Recent research has tried to examine this phenomenon from various view points and to provide bounds on the generalization error or measures predictive of the…

机器学习 · 计算机科学 2020-12-07 Parth Natekar , Manik Sharma