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Conformal risk control (CRC) provides distribution-free guarantees for controlling the expected loss at a user-specified level. Existing theory typically assumes that the loss decreases monotonically with a tuning parameter that governs the…

Machine Learning · Statistics 2026-04-21 Tareq Aldirawi , Yun Li , Wenge Guo

Out-of-distribution (OoD) generalization occurs when representation learning encounters a distribution shift. This occurs frequently in practice when training and testing data come from different environments. Covariate shift is a type of…

Machine Learning · Computer Science 2026-04-22 Simon Zhang , Ryan P. DeMilt , Kun Jin , Cathy H. Xia

Ridge leverage scores provide a balance between low-rank approximation and regularization, and are ubiquitous in randomized linear algebra and machine learning. Deterministic algorithms are also of interest in the moderately big data…

Statistics Theory · Mathematics 2018-12-27 Shannon R. McCurdy

Distributionally robust policy learning aims to find a policy that performs well under the worst-case distributional shift, and yet most existing methods for robust policy learning consider the worst-case joint distribution of the covariate…

Machine Learning · Computer Science 2025-06-03 Jingyuan Wang , Zhimei Ren , Ruohan Zhan , Zhengyuan Zhou

Optimal transport (OT) serves as a natural framework for comparing probability measures, with applications in statistics, machine learning, and applied mathematics. Alas, statistical estimation and exact computation of the OT distances…

Statistics Theory · Mathematics 2024-05-14 Tao Wang , Ziv Goldfeld

We present an optimized rerandomization design procedure for a non-sequential treatment-control experiment. Randomized experiments are the gold standard for finding causal effects in nature. But sometimes random assignments result in…

Methodology · Statistics 2021-01-26 Adam Kapelner , Abba M. Krieger , Michael Sklar , David Azriel

Kernel methods for deconvolution have attractive features, and prevail in the literature. However, they have disadvantages, which include the fact that they are usually suitable only for cases where the error distribution is infinitely…

Statistics Theory · Mathematics 2009-09-29 Peter Hall , Alexander Meister

The key of the out-of-distribution (OOD) generalization is to generalize invariance from training domains to target domains. The variance risk extrapolation (V-REx) is a practical OOD method, which depends on a domain-level regularization…

Machine Learning · Computer Science 2021-04-12 Chuanlong Xie , Haotian Ye , Fei Chen , Yue Liu , Rui Sun , Zhenguo Li

We analyze gradient descent with randomly weighted data points in a linear regression model, under a generic weighting distribution. This includes various forms of stochastic gradient descent, importance sampling, but also extends to…

Machine Learning · Statistics 2025-12-12 Gabriel Clara , Yazan Mash'al

Deep neural network, despite its remarkable capability of discriminating targeted in-distribution samples, shows poor performance on detecting anomalous out-of-distribution data. To address this defect, state-of-the-art solutions choose to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Boxi Wu , Jie Jiang , Haidong Ren , Zifan Du , Wenxiao Wang , Zhifeng Li , Deng Cai , Xiaofei He , Binbin Lin , Wei Liu

This paper studies transfer learning for ridge-regularized robust linear regression in the moderate-dimensional regime, where the number of predictors is of the same order as the sample size and the regression coefficients are not assumed…

Methodology · Statistics 2026-04-14 Lingfeng Lyu , Xiao Guo , Zongqi Liu

We consider prediction with expert advice when data are generated from distributions varying arbitrarily within an unknown constraint set. This semi-adversarial setting includes (at the extremes) the classical i.i.d. setting, when the…

Machine Learning · Statistics 2022-07-25 Blair Bilodeau , Jeffrey Negrea , Daniel M. Roy

We show that the effectiveness of the well celebrated Mixup [Zhang et al., 2018] can be further improved if instead of using it as the sole learning objective, it is utilized as an additional regularizer to the standard cross-entropy loss.…

Machine Learning · Computer Science 2023-02-08 Francesco Pinto , Harry Yang , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania

Out-of-distribution detection (OOD) deals with anomalous input to neural networks. In the past, specialized methods have been proposed to reject predictions on anomalous input. Similarly, it was shown that feature extraction models in…

Machine Learning · Computer Science 2022-01-25 Jan Diers , Christian Pigorsch

Distributional reinforcement learning algorithms have attempted to utilize estimated uncertainty for exploration, such as optimism in the face of uncertainty. However, using the estimated variance for optimistic exploration may cause biased…

Machine Learning · Computer Science 2023-12-06 Taehyun Cho , Seungyub Han , Heesoo Lee , Kyungjae Lee , Jungwoo Lee

Offline reinforcement learning (RL) extends the paradigm of classical RL algorithms to purely learning from static datasets, without interacting with the underlying environment during the learning process. A key challenge of offline RL is…

Machine Learning · Computer Science 2022-06-16 Shentao Yang , Yihao Feng , Shujian Zhang , Mingyuan Zhou

We introduce Invariant Risk Minimization (IRM), a learning paradigm to estimate invariant correlations across multiple training distributions. To achieve this goal, IRM learns a data representation such that the optimal classifier, on top…

Machine Learning · Statistics 2020-03-31 Martin Arjovsky , Léon Bottou , Ishaan Gulrajani , David Lopez-Paz

Machine learning algorithms with empirical risk minimization usually suffer from poor generalization performance due to the greedy exploitation of correlations among the training data, which are not stable under distributional shifts.…

Machine Learning · Computer Science 2021-06-18 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen

Statistical learning under distribution shift is challenging when neither prior knowledge nor fully accessible data from the target distribution is available. Distributionally robust learning (DRL) aims to control the worst-case statistical…

Methodology · Statistics 2024-12-19 Yu Gui , Rina Foygel Barber , Cong Ma

Out-of-Distribution (OOD) detection is essential for the trustworthiness of AI systems. Methods using prior information (i.e., subspace-based methods) have shown effective performance by extracting information geometry to detect OOD data…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Kaiyu Guo , Zijian Wang , Tan Pan , Brian C. Lovell , Mahsa Baktashmotlagh