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Data-driven distributionally robust optimization is a recently emerging paradigm aimed at finding a solution that is driven by sample data but is protected against sampling errors. An increasingly popular approach, known as Wasserstein…

Optimization and Control · Mathematics 2022-07-20 Jonathan Yu-Meng Li , Tiantian Mao

Consider a scenario where we have access to train data with both covariates and outcomes while test data only contains covariates. In this scenario, our primary aim is to predict the missing outcomes of the test data. With this objective in…

Methodology · Statistics 2024-10-29 Masahiro Kato , Kota Matsui , Ryo Inokuchi

Out-of-distribution generalization (OODG) is a longstanding challenge for neural networks. This challenge is quite apparent in tasks with well-defined variables and rules, where explicit use of the rules could solve problems independently…

Machine Learning · Computer Science 2022-12-14 Andrew J. Nam , Mustafa Abdool , Trevor Maxfield , James L. McClelland

Modeling spatial overdispersion requires point processes models with finite dimensional distributions that are overdisperse relative to the Poisson. Fitting such models usually heavily relies on the properties of stationarity, ergodicity,…

Probability · Mathematics 2018-01-12 Mimoza Zografi , Evdokia Xekalaki

There has been a recent surge in statistical methods for handling the lack of adequate positivity when using inverse probability weights (IPW). However, these nascent developments have raised a number of questions. Thus, we demonstrate the…

Methodology · Statistics 2024-02-05 Roland A. Matsouaka , Yi Liu , Yunji Zhou

A common goal in statistics and machine learning is estimation of unknowns. Point estimates alone are of little value without an accompanying measure of uncertainty, but traditional uncertainty quantification methods, such as confidence…

Methodology · Statistics 2025-08-12 Neil Dey , Ryan Martin , Jonathan P. Williams

A class of discrete probability distributions contains distributions with limited support, i.e. possible argument values are limited to a set of numbers (typically consecutive). Examples of such data are results from subjective experiments…

Methodology · Statistics 2019-09-11 Lucjan Janowski , Bogdan Ćmiel , Krzysztof Rusek , Jakub Nawała , Zhi Li

Divergence measures play a central role and become increasingly essential in deep learning, yet efficient measures for multiple (more than two) distributions are rarely explored. This becomes particularly crucial in areas where the…

Machine Learning · Computer Science 2024-06-07 Mingfei Lu , Chenxu Li , Shujian Yu , Robert Jenssen , Badong Chen

Deep models often fail to generalize well in test domains when the data distribution differs from that in the training domain. Among numerous approaches to address this Out-of-Distribution (OOD) generalization problem, there has been a…

Machine Learning · Computer Science 2022-10-14 Qixun Wang , Yifei Wang , Hong Zhu , Yisen Wang

Generalization under distribution shift remains a core challenge in modern machine learning, yet existing learning bound theory is limited to narrow, idealized settings and is non-estimable from samples. In this paper, we bridge the gap…

Machine Learning · Statistics 2025-08-25 Hongbo Chen , Li Charlie Xia

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

Machine Learning · Computer Science 2018-03-13 Fulton Wang , Cynthia Rudin

The performance of deep neural networks is enhanced by ensemble methods, which average the output of several models. However, this comes at an increased cost at inference. Weight averaging methods aim at balancing the generalization of…

Machine Learning · Computer Science 2024-05-29 Louis Fournier , Adel Nabli , Masih Aminbeidokhti , Marco Pedersoli , Eugene Belilovsky , Edouard Oyallon

Integrated Gradients (IG) is a widely used attribution method in explainable AI, particularly in computer vision applications where reliable feature attribution is essential. A key limitation of IG is its sensitivity to the choice of…

Machine Learning · Statistics 2025-11-21 Kien Tran Duc Tuan , Tam Nguyen Trong , Son Nguyen Hoang , Khoat Than , Anh Nguyen Duc

Domain generalization (DG) aims to learn a model on several source domains, hoping that the model can generalize well to unseen target domains. The distribution shift between domains contains the covariate shift and conditional shift, both…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Jianxin Lin , Yongqiang Tang , Junping Wang , Wensheng Zhang

Personalized medicine aims to tailor treatments to individual patients, especially when people respond heterogeneously to therapies. A key objective is to learn individualized treatment rules that recommend optimal treatments from patient…

Methodology · Statistics 2026-03-12 Zhu Wang

An essential problem in statistics and machine learning is the estimation of expectations involving PDFs with intractable normalizing constants. The self-normalized importance sampling (SNIS) estimator, which normalizes the IS weights, has…

Computation · Statistics 2024-07-01 Nicola Branchini , Víctor Elvira

Supervised learning datasets may contain multiple cues that explain the training set equally well, i.e., learning any of them would lead to the correct predictions on the training data. However, many of them can be spurious, i.e., lose…

Machine Learning · Computer Science 2024-04-23 Harold Benoit , Liangze Jiang , Andrei Atanov , Oğuzhan Fatih Kar , Mattia Rigotti , Amir Zamir

Diffusion models have achieved remarkable progress in universal image restoration. While existing methods speed up inference by reducing sampling steps, substantial step intervals often introduce cumulative errors. Moreover, they struggle…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Hebaixu Wang , Jing Zhang , Haonan Guo , Di Wang , Jiayi Ma , Bo Du

Despite impressive success in many tasks, deep learning models are shown to rely on spurious features, which will catastrophically fail when generalized to out-of-distribution (OOD) data. Invariant Risk Minimization (IRM) is proposed to…

Machine Learning · Computer Science 2022-12-20 Shiji Xin , Yifei Wang , Jingtong Su , Yisen Wang

Current object detectors often suffer significant perfor-mance degradation in real-world applications when encountering distributional shifts. Consequently, the out-of-distribution (OOD) generalization capability of object detectors has…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Jiansheng Li , Xingxuan Zhang , Hao Zou , Yige Guo , Renzhe Xu , Yilong Liu , Chuzhao Zhu , Yue He , Peng Cui