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The diffusion probabilistic generative models are widely used to generate high-quality data. Though they can synthetic data that does not exist in the training set, the rationale behind such generalization is still unexplored. In this…

Machine Learning · Computer Science 2023-05-25 Mingyang Yi , Jiacheng Sun , Zhenguo Li

Machine learning-assisted retrosynthesis prediction models have been gaining widespread adoption, though their performances oftentimes degrade significantly when deployed in real-world applications embracing out-of-distribution (OOD)…

Machine Learning · Computer Science 2023-12-19 Yemin Yu , Luotian Yuan , Ying Wei , Hanyu Gao , Xinhai Ye , Zhihua Wang , Fei Wu

Empirical risk minimization (ERM) is not robust to changes in the distribution of data. When the distribution of test data is different from that of training data, the problem is known as out-of-distribution generalization. Recently, two…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Shijian Xu

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

Generalization remains a central yet unresolved challenge in deep learning, particularly the ability to predict a model's performance beyond its training distribution using quantities available prior to test-time evaluation. Building on the…

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

Failure of machine learning models to generalize to new data is a core problem limiting the reliability of AI systems, partly due to the lack of simple and robust methods for comparing new data to the original training dataset. We propose a…

Machine Learning · Computer Science 2025-02-26 W. Max Schreyer , Christopher Anderson , Reid F. Thompson

Out-of-distribution (OOD) generalization deals with the prevalent learning scenario where test distribution shifts from training distribution. With rising application demands and inherent complexity, graph OOD problems call for specialized…

Machine Learning · Computer Science 2024-06-06 Xiner Li , Shurui Gui , Youzhi Luo , Shuiwang Ji

Small generalization errors of over-parameterized neural networks (NNs) can be partially explained by the frequency biasing phenomenon, where gradient-based algorithms minimize the low-frequency misfit before reducing the high-frequency…

Machine Learning · Computer Science 2022-09-27 Annan Yu , Yunan Yang , Alex Townsend

This paper studies a novel problem of out-of-distribution graph models merging, which aims to construct a generalized model from multiple graph models pre-trained on different domains with distribution discrepancy. This problem is…

Machine Learning · Computer Science 2026-03-18 Yidi Wang , Ziyue Qiao , Jiawei Gu , Xubin Zheng , Pengyang Wang , Xiaobing Pei , Xiao Luo

We investigate random feature models in which neural networks sampled from a prescribed initialization ensemble are frozen and used as random features, with only the readout weights optimized. Adopting a statistical-physics viewpoint, we…

Machine Learning · Computer Science 2026-04-29 Taeyoung Kim

Most machine learning algorithms, such as classification or regression, treat the individual data point as the object of interest. Here we consider extending machine learning algorithms to operate on groups of data points. We suggest…

Machine Learning · Computer Science 2021-01-15 Danica J. Sutherland , Liang Xiong , Barnabás Póczos , Jeff Schneider

In this paper, we study the OOD generalization of neural algorithmic reasoning tasks, where the goal is to learn an algorithm (e.g., sorting, breadth-first search, and depth-first search) from input-output pairs using deep neural networks.…

Machine Learning · Computer Science 2023-03-21 Sadegh Mahdavi , Kevin Swersky , Thomas Kipf , Milad Hashemi , Christos Thrampoulidis , Renjie Liao

Modern foundation models exhibit remarkable out-of-distribution (OOD) generalization, solving tasks far beyond the support of their training data. However, the theoretical principles underpinning this phenomenon remain elusive. This paper…

Machine Learning · Statistics 2025-05-29 Jiawei Ge , Amanda Wang , Shange Tang , Chi Jin

Sample reweighting is one of the most widely used methods for correcting the error of least squares learning algorithms in reproducing kernel Hilbert spaces (RKHS), that is caused by future data distributions that are different from the…

Machine Learning · Computer Science 2023-07-24 Duc Hoan Nguyen , Sergei V. Pereverzyev , Werner Zellinger

As breakthroughs in deep learning transform key industries, models are increasingly required to extrapolate on datapoints found outside the range of the training set, a challenge we coin as out-of-support (OoS) generalisation. However,…

Machine Learning · Computer Science 2026-03-06 Roussel Desmond Nzoyem

Machine learning models are increasingly trained or fine-tuned on synthetic data. Recursively training on such data has been observed to significantly degrade performance in a wide range of tasks, often characterized by a progressive drift…

Machine Learning · Statistics 2026-02-19 Nail B. Khelifa , Richard E. Turner , Ramji Venkataramanan

The generalization of machine learning (ML) models to out-of-distribution (OOD) examples remains a key challenge in extracting information from upcoming astronomical surveys. Interpretability approaches are a natural way to gain insights…

Instrumentation and Methods for Astrophysics · Physics 2023-12-01 Yash Gondhalekar , Sultan Hassan , Naomi Saphra , Sambatra Andrianomena

Graph Neural Networks (GNNs) show promising results for graph tasks. However, existing GNNs' generalization ability will degrade when there exist distribution shifts between testing and training graph data. The cardinal impetus underlying…

Machine Learning · Computer Science 2023-12-21 Zhengyu Chen , Teng Xiao , Kun Kuang , Zheqi Lv , Min Zhang , Jinluan Yang , Chengqiang Lu , Hongxia Yang , Fei Wu

Neural networks, while effective for tackling many challenging scientific tasks, are not known to perform well out-of-distribution (OOD), i.e., within domains which differ from their training data. Understanding neural network OOD…

Machine Learning · Computer Science 2025-12-11 Luis Rangel DaCosta , Mary C. Scott