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Learning causal structures from observational data remains a fundamental yet computationally intensive task, particularly in high-dimensional settings where existing methods face challenges such as the super-exponential growth of the search…

Machine Learning · Statistics 2026-02-12 Haixiang Sun , Pengchao Tian , Zihan Zhou , Jielei Zhang , Peiyi Li , Andrew L. Liu

Deep neural networks have found widespread adoption in solving complex tasks ranging from image recognition to natural language processing. However, these networks make confident mispredictions when presented with data that does not belong…

Machine Learning · Computer Science 2020-12-16 Deepak Ravikumar , Sangamesh Kodge , Isha Garg , Kaushik Roy

Machine learning algorithms typically assume that training and test examples are drawn from the same distribution. However, distribution shift is a common problem in real-world applications and can cause models to perform dramatically worse…

Machine Learning · Computer Science 2022-06-22 Huaxiu Yao , Yu Wang , Sai Li , Linjun Zhang , Weixin Liang , James Zou , Chelsea Finn

Invariant risk minimization (IRM) (Arjovsky et al., 2019) is a recently proposed framework designed for learning predictors that are invariant to spurious correlations across different training environments. Yet, despite its theoretical…

Machine Learning · Statistics 2020-07-07 Yo Joong Choe , Jiyeon Ham , Kyubyong Park

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

Machine Learning · Statistics 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd

In strategic classification, an institution (e.g., a bank) anticipates adaptation from users who change their features to increase utility in a classification task (e.g., loan repayment). Since a key challenge is the distribution shift…

Machine Learning · Computer Science 2026-05-27 Antonio Gois , Sophia Gunluk , Nir Rosenfeld , Nidhi Hegde , Simon Lacoste-Julien , Dhanya Sridhar

Learning causal structures from observational data is a fundamental problem facing important computational challenges when the number of variables is large. In the context of linear structural equation models (SEMs), this paper focuses on…

Machine Learning · Computer Science 2024-02-21 Shuyu Dong , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi , Michèle Sebag

Most existing deep learning models are trained based on the closed-world assumption, where the test data is assumed to be drawn i.i.d. from the same distribution as the training data, known as in-distribution (ID). However, when models are…

Machine Learning · Computer Science 2022-11-09 Yixin Liu , Kaize Ding , Huan Liu , Shirui Pan

Standard supervised learning breaks down under data distribution shift. However, the principle of independent causal mechanisms (ICM, Peters et al. (2017)) can turn this weakness into an opportunity: one can take advantage of distribution…

Machine Learning · Computer Science 2021-02-09 Jens Müller , Robert Schmier , Lynton Ardizzone , Carsten Rother , Ullrich Köthe

Causal discovery, the problem of inferring the direction of causality, is generally ill-posed. We use the language of structural causal models (SCM) to show that assuming that the causal relations are acyclic and invariant across multiple…

Machine Learning · Statistics 2026-05-14 Francesco Montagna , Francesco Locatello

Distribution shifts on graphs -- the data distribution discrepancies between training and testing a graph machine learning model, are often ubiquitous and unavoidable in real-world scenarios. Such shifts may severely deteriorate the…

Machine Learning · Computer Science 2024-02-20 Shuhan Liu , Kaize Ding

Graph Neural Network (GNN) has demonstrated extraordinary performance in classifying graph properties. However, due to the selection bias of training and testing data (e.g., training on small graphs and testing on large graphs, or training…

Machine Learning · Computer Science 2023-08-17 Bin Lu , Xiaoying Gan , Ze Zhao , Shiyu Liang , Luoyi Fu , Xinbing Wang , Chenghu Zhou

We are interested in learning robust models from insufficient data, without the need for any externally pre-trained checkpoints. First, compared to sufficient data, we show why insufficient data renders the model more easily biased to the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Tan Wang , Qianru Sun , Sugiri Pranata , Karlekar Jayashree , Hanwang Zhang

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

Machine Learning · Statistics 2026-05-15 Francesco Montagna

Domain generalization (DG) is essentially an out-of-distribution problem, aiming to generalize the knowledge learned from multiple source domains to an unseen target domain. The mainstream is to leverage statistical models to model the…

Machine Learning · Computer Science 2022-03-29 Fangrui Lv , Jian Liang , Shuang Li , Bin Zang , Chi Harold Liu , Ziteng Wang , Di Liu

Graph data often contain noisy and spurious correlations that mask the true causal relationships, which are essential for enabling graph models to make predictions based on the underlying causal structure of the data. Dependence on spurious…

Machine Learning · Computer Science 2026-02-23 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Jianming Yong

We propose an empirical Bayes formulation of the structure learning problem, where the prior specification assumes that all node variables have the same error variance, an assumption known to ensure the identifiability of the underlying…

Computation · Statistics 2023-08-17 Hyunwoong Chang , James Cai , Quan Zhou

Covariate-shift generalization, a typical case in out-of-distribution (OOD) generalization, requires a good performance on the unknown test distribution, which varies from the accessible training distribution in the form of covariate shift.…

Machine Learning · Computer Science 2023-10-18 Renzhe Xu , Xingxuan Zhang , Zheyan Shen , Tong Zhang , Peng Cui

As the spatial features of multivariate data are increasingly central in researchers' applied problems, there is a growing demand for novel spatially-aware methods that are flexible, easily interpretable, and scalable to large data. We…

Methodology · Statistics 2026-03-17 Michele Peruzzi

A key challenge in graph out-of-distribution (OOD) detection lies in the absence of ground-truth OOD samples during training. Existing methods are typically optimized to capture features within the in-distribution (ID) data and calculate…

Machine Learning · Computer Science 2025-11-25 Yue Hou , Ruomei Liu , Yingke Su , Junran Wu , Ke Xu