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Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

Methodology · Statistics 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

Supervised fairness-aware machine learning under distribution shifts is an emerging field that addresses the challenge of maintaining equitable and unbiased predictions when faced with changes in data distributions from source to target…

Machine Learning · Computer Science 2024-05-07 Minglai Shao , Dong Li , Chen Zhao , Xintao Wu , Yujie Lin , Qin Tian

Empirical risk minimization often performs poorly when the distribution of the target domain differs from those of source domains. To address such potential distribution shifts, we develop an unsupervised domain adaptation approach that…

Machine Learning · Statistics 2025-03-25 Zhenyu Wang , Peter Bühlmann , Zijian Guo

Proposition. Let $f$ be a predictor trained on a distribution $P$ and evaluated on a shifted distribution $Q$. Under verifiable regularity and complexity constraints, the excess risk under shift admits an explicit upper bound determined by…

Machine Learning · Computer Science 2026-02-23 Chandrasekhar Gokavarapu , Sudhakar Gadde , Y. Rajasekhar , S. R. Bhargava

Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

Machine Learning · Statistics 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

Learning with identical train and test distributions has been extensively investigated both practically and theoretically. Much remains to be understood, however, in statistical learning under distribution shifts. This paper focuses on a…

Machine Learning · Computer Science 2024-11-01 Omar Montasser , Han Shao , Emmanuel Abbe

In high dimensional settings, density estimation algorithms rely crucially on their inductive bias. Despite recent empirical success, the inductive bias of deep generative models is not well understood. In this paper we propose a framework…

Machine Learning · Computer Science 2018-11-09 Shengjia Zhao , Hongyu Ren , Arianna Yuan , Jiaming Song , Noah Goodman , Stefano Ermon

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

Machine Learning · Computer Science 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

Domain generalization aims to learn a prediction model on multi-domain source data such that the model can generalize to a target domain with unknown statistics. Most existing approaches have been developed under the assumption that the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-01 Jin Kim , Jiyoung Lee , Jungin Park , Dongbo Min , Kwanghoon Sohn

At the heart of machine learning lies the question of generalizability of learned rules over previously unseen data. While over-parameterized models based on neural networks are now ubiquitous in machine learning applications, our…

Machine Learning · Computer Science 2020-05-04 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Covariate shift relaxes the widely-employed independent and identically distributed (IID) assumption by allowing different training and testing input distributions. Unfortunately, common methods for addressing covariate shift by trying to…

Machine Learning · Computer Science 2018-01-02 Anqi Liu , Brian D. Ziebart

Educational policymakers often lack data on student outcomes where standardized tests were not administered. Machine learning can predict unobserved outcomes in target populations using source population data. However, covariate…

The i.i.d. assumption is a useful idealization that underpins many successful approaches to supervised machine learning. However, its violation can lead to models that learn to exploit spurious correlations in the training data, rendering…

Machine Learning · Computer Science 2020-06-15 Daniel Pace , Alessandra Russo , Murray Shanahan

Approaches based on deep neural networks have achieved striking performance when testing data and training data share similar distribution, but can significantly fail otherwise. Therefore, eliminating the impact of distribution shifts…

Machine Learning · Computer Science 2021-04-19 Xingxuan Zhang , Peng Cui , Renzhe Xu , Linjun Zhou , Yue He , Zheyan Shen

Modern machine learning methods including deep learning have achieved great success in predictive accuracy for supervised learning tasks, but may still fall short in giving useful estimates of their predictive {\em uncertainty}. Quantifying…

Generalization in generative modeling is defined as the ability to learn an underlying distribution from a finite dataset and produce novel samples, with evaluation largely driven by held-out performance and perceived sample quality. In…

Machine Learning · Computer Science 2026-03-05 Jerome Garnier-Brun , Luca Biggio , Davide Beltrame , Marc Mézard , Luca Saglietti

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

Sampling biases can cause distribution shifts between train and test datasets for supervised learning tasks, obscuring our ability to understand the generalization capacity of a model. This is especially important considering the wide…

Machine Learning · Computer Science 2024-02-05 Max Vargas , Adam Tsou , Andrew Engel , Tony Chiang

Though deep neural networks have achieved impressive success on various vision tasks, obvious performance degradation still exists when models are tested in out-of-distribution scenarios. In addressing this limitation, we ponder that the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Xiaotong Li , Zixuan Hu , Jun Liu , Yixiao Ge , Yongxing Dai , Ling-Yu Duan

Despite the increasing relevance of forecasting methods, causal implications of these algorithms remain largely unexplored. This is concerning considering that, even under simplifying assumptions such as causal sufficiency, the statistical…