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Most of previous machine learning algorithms are proposed based on the i.i.d. hypothesis. However, this ideal assumption is often violated in real applications, where selection bias may arise between training and testing process. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Zheyan Shen , Peng Cui , Kun Kuang , Bo Li , Peixuan Chen

Learning causal representations from observational and interventional data in the absence of known ground-truth graph structures necessitates implicit latent causal representation learning. Implicit learning of causal mechanisms typically…

Machine Learning · Computer Science 2024-08-19 Shayan Shirahmad Gale Bagi , Zahra Gharaee , Oliver Schulte , Mark Crowley

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

Causal representation learning (CRL) seeks to recover latent variables with identifiability guarantees, typically up to permutation and component-wise reparameterization under appropriate assumptions. However, identifiability does not imply…

Machine Learning · Computer Science 2026-05-08 Shicheng Fan , Nour Elhendawy , Jianle Sun , Ke Fang , Kun Zhang , Yihang Wang , Lu Cheng

Due to spurious correlations, machine learning systems often fail to generalize to environments whose distributions differ from the ones used at training time. Prior work addressing this, either explicitly or implicitly, attempted to find a…

Machine Learning · Computer Science 2022-10-19 Chaochao Lu , Yuhuai Wu , Jośe Miguel Hernández-Lobato , Bernhard Schölkopf

Interpretability research on large language models (LLMs) has yielded important insights into model behaviour, yet recurring pitfalls persist: findings that do not generalise, and causal interpretations that outrun the evidence. Our…

Machine Learning · Computer Science 2026-03-20 Shruti Joshi , Aaron Mueller , David Klindt , Wieland Brendel , Patrik Reizinger , Dhanya Sridhar

This paper considers the problem of estimating the unknown intervention targets in a causal directed acyclic graph from observational and interventional data. The focus is on soft interventions in linear structural equation models (SEMs).…

Methodology · Statistics 2021-11-16 Burak Varici , Karthikeyan Shanmugam , Prasanna Sattigeri , Ali Tajer

Conventional representation learning methods learn a universal representation that primarily captures dominant semantics, which may not always align with customized downstream tasks. For instance, in animal habitat analysis, researchers…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Honglin Liu , Chao Sun , Peng Hu , Yunfan Li , Xi Peng

Causal Temporal Representation Learning (Ctrl) methods aim to identify the temporal causal dynamics of complex nonstationary temporal sequences. Despite the success of existing Ctrl methods, they require either directly observing the domain…

Machine Learning · Computer Science 2024-09-06 Xiangchen Song , Zijian Li , Guangyi Chen , Yujia Zheng , Yewen Fan , Xinshuai Dong , Kun Zhang

Why does a phenomenon occur? Addressing this question is central to most scientific inquiries and often relies on simulations of scientific models. As models become more intricate, deciphering the causes behind phenomena in high-dimensional…

Machine Learning · Statistics 2024-06-04 Armin Kekić , Bernhard Schölkopf , Michel Besserve

Causal representation learning (CRL) and traditional representation learning have largely developed along different trajectories. Traditional representation learning has been driven mainly by applications and empirical objectives, whereas…

Machine Learning · Computer Science 2026-05-21 Yan Li , Yuewen Sun , Shaoan Xie , Gongxu Luo , Yunlong Deng , Kun Zhang , Guangyi Chen

Identifiability is a desirable property of a statistical model: it implies that the true model parameters may be estimated to any desired precision, given sufficient computational resources and data. We study identifiability in the context…

Machine Learning · Statistics 2020-07-09 Geoffrey Roeder , Luke Metz , Diederik P. Kingma

Recently in the field of unsupervised representation learning, strong identifiability results for disentanglement of causally-related latent variables have been established by exploiting certain side information, such as class labels, in…

Machine Learning · Computer Science 2022-10-26 Weiran Yao , Guangyi Chen , Kun Zhang

Identifying latent variables and causal structures from observational data is essential to many real-world applications involving biological data, medical data, and unstructured data such as images and languages. However, this task can be…

Machine Learning · Computer Science 2023-11-01 Lingjing Kong , Biwei Huang , Feng Xie , Eric Xing , Yuejie Chi , Kun Zhang

The goal of causal representation learning is to find a representation of data that consists of causally related latent variables. We consider a setup where one has access to data from multiple domains that potentially share a causal…

Machine Learning · Statistics 2023-10-30 Nils Sturma , Chandler Squires , Mathias Drton , Caroline Uhler

Causal reasoning and discovery, two fundamental tasks of causal analysis, often face challenges in applications due to the complexity, noisiness, and high-dimensionality of real-world data. Despite recent progress in identifying latent…

Machine Learning · Computer Science 2025-11-18 Dingling Yao , Shimeng Huang , Riccardo Cadei , Kun Zhang , Francesco Locatello

In the fundamental statistics course, students are taught to remember the well-known saying: "Correlation is not Causation". Till now, statistics (i.e., correlation) have developed various successful frameworks, such as Transformer and…

Artificial Intelligence · Computer Science 2023-11-22 Ning Xu , Yifei Gao , Hongshuo Tian , Yongdong Zhang , An-An Liu

Predicting the impact of genomic and drug perturbations in cellular function is crucial for understanding gene functions and drug effects, ultimately leading to improved therapies. To this end, Causal Representation Learning (CRL)…

Causal representation learning seeks to recover latent factors that generate observational data through a mixing function. Needing assumptions on latent structures or relationships to achieve identifiability in general, prior works often…

Artificial Intelligence · Computer Science 2025-09-24 Kwonho Kim , Heejeong Nam , Inwoo Hwang , Sanghack Lee

Predictive models trained on observational data often fail to generalise to the distributions they encounter when deployed, especially when the training data is a product of the system being optimised. Recommender systems are a canonical…

Machine Learning · Statistics 2026-05-27 Yorgos Felekis , Michael O'Riordan , Oriol Corcoll , Ciarán M. Gilligan-Lee