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Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

Methodology · Statistics 2015-09-14 Ville A. Satopää , Robin Pemantle , Lyle H. Ungar

Out-Of-Distribution generalization (OOD) is all about learning invariance against environmental changes. If the context in every class is evenly distributed, OOD would be trivial because the context can be easily removed due to an…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Jiaxin Qi , Kaihua Tang , Qianru Sun , Xian-Sheng Hua , Hanwang Zhang

We propose a regularisation strategy of classical machine learning algorithms rooted in causality that ensures robustness against distribution shifts. Building upon the anchor regression framework, we demonstrate how incorporating a…

Machine Learning · Statistics 2025-03-12 Homer Durand , Gherardo Varando , Nathan Mankovich , Gustau Camps-Valls

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

Out-of-distribution generalization is a common problem that expects the model to perform well in the different distributions even far from the train data. A popular approach to addressing this issue is invariant learning (IL), in which the…

Machine Learning · Computer Science 2025-05-23 Jiaqi Wang , Yuhang Zhou , Zhixiong Zhang , Qiguang Chen , Yongqiang Chen , James Cheng

Environment annotations are essential for the success of many out-of-distribution (OOD) generalization methods. Unfortunately, these are costly to obtain and often limited by human annotators' biases. To achieve robust generalization, it is…

Machine Learning · Computer Science 2024-07-22 Mohammad Pezeshki , Diane Bouchacourt , Mark Ibrahim , Nicolas Ballas , Pascal Vincent , David Lopez-Paz

Pursuing causality from data is a fundamental problem in scientific discovery, treatment intervention, and transfer learning. This paper introduces a novel algorithmic method for addressing nonparametric invariance and causality learning in…

Statistics Theory · Mathematics 2025-11-18 Yihong Gu , Cong Fang , Peter Bühlmann , Jianqing Fan

Recent interest in the external validity of prediction models (i.e., the problem of different train and test distributions, known as dataset shift) has produced many methods for finding predictive distributions that are invariant to dataset…

Machine Learning · Statistics 2022-07-20 Adarsh Subbaswamy , Bryant Chen , Suchi Saria

Recent domain generalization (DG) approaches typically use the hypothesis learned on source domains for inference on the unseen target domain. However, such a hypothesis can be arbitrarily far from the optimal one for the target domain,…

Machine Learning · Computer Science 2023-05-25 Yi-Fan Zhang , Jindong Wang , Jian Liang , Zhang Zhang , Baosheng Yu , Liang Wang , Dacheng Tao , Xing Xie

Domain generalization aims to develop a model that can perform well on unseen target domains by learning from multiple source domains. However, recent-proposed domain generalization models usually rely on domain labels, which may not be…

Machine Learning · Computer Science 2024-06-11 Zongbin Wang , Bin Pan , Zhenwei Shi

Out-of-Distribution (OOD) Generalization aims to learn robust models that generalize well to various environments without fitting to distribution-specific features. Recent studies based on Lottery Ticket Hypothesis (LTH) address this…

Machine Learning · Computer Science 2023-10-26 Zhuo Huang , Muyang Li , Li Shen , Jun Yu , Chen Gong , Bo Han , Tongliang Liu

Algorithmic fairness has become a central concern in modern machine learning and AI applications. However, two pressing challenges remain: (1) The fairness guarantees of existing methods often rely on specific data distributional…

Methodology · Statistics 2026-05-14 Xiaotian Hou , Linjun Zhang

The field of Machine Learning has changed significantly since the 1970s. However, its most basic principle, Empirical Risk Minimization (ERM), remains unchanged. We propose Functional Risk Minimization~(FRM), a general framework where…

Allocation of limited resources under uncertain requirements often necessitates fairness considerations, with applications in computer systems, health systems, and humanitarian logistics. This paper introduces a distributionally robust (DR)…

Optimization and Control · Mathematics 2025-09-22 Jiaqi Lei , Akhil Singla , Sanjay Mehrotra

In causal inference, an important problem is to quantify the effects of interventions or treatments. Many studies focus on estimating the mean causal effects; however, these estimands may offer limited insight since two distributions can…

Methodology · Statistics 2024-11-05 Archer Gong Zhang , Nancy Reid , Qiang Sun

Machine learning models are trained to minimize the mean loss for a single metric, and thus typically do not consider fairness and robustness. Neglecting such metrics in training can make these models prone to fairness violations when…

Machine Learning · Computer Science 2022-07-21 Bobby Yan , Skyler Seto , Nicholas Apostoloff

This paper advocates a new paradigm Personalized Empirical Risk Minimization (PERM) to facilitate learning from heterogeneous data sources without imposing stringent constraints on computational resources shared by participating devices. In…

Machine Learning · Computer Science 2023-10-30 Yuyang Deng , Mohammad Mahdi Kamani , Pouria Mahdavinia , Mehrdad Mahdavi

Inferring causal individual treatment effect (ITE) from observational data is a challenging problem whose difficulty is exacerbated by the presence of treatment assignment bias. In this work, we propose a new way to estimate the ITE using…

Machine Learning · Computer Science 2021-03-16 Abhin Shah , Kartik Ahuja , Karthikeyan Shanmugam , Dennis Wei , Kush Varshney , Amit Dhurandhar

Conditional risk minimization arises in high-stakes decisions where risk must be assessed in light of side information, such as stressed economic conditions, specific customer profiles, or other contextual covariates. Constructing reliable…

Machine Learning · Statistics 2025-09-30 Xinqiao Xie , Jonathan Yu-Meng Li

Fairness-aware learning is a novel framework for classification tasks. Like regular empirical risk minimization (ERM), it aims to learn a classifier with a low error rate, and at the same time, for the predictions of the classifier to be…

Machine Learning · Statistics 2015-06-26 Kazuto Fukuchi , Jun Sakuma
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