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Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam

We present a unified framework for studying the identifiability of representations learned from simultaneously observed views, such as different data modalities. We allow a partially observed setting in which each view constitutes a…

We are born with the ability to learn concepts by comparing diverse observations. This helps us to understand the new world in a compositional manner and facilitates extrapolation, as objects naturally consist of multiple concepts. In this…

Machine Learning · Computer Science 2025-10-02 Yujia Zheng , Shaoan Xie , Kun Zhang

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

Contrastive learning is a cornerstone underlying recent progress in multi-view and multimodal learning, e.g., in representation learning with image/caption pairs. While its effectiveness is not yet fully understood, a line of recent work…

Machine Learning · Computer Science 2023-03-17 Imant Daunhawer , Alice Bizeul , Emanuele Palumbo , Alexander Marx , Julia E. Vogt

The key idea behind the unsupervised learning of disentangled representations is that real-world data is generated by a few explanatory factors of variation which can be recovered by unsupervised learning algorithms. In this paper, we…

Machine Learning · Computer Science 2019-06-19 Francesco Locatello , Stefan Bauer , Mario Lucic , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf , Olivier Bachem

Many techniques in computer vision, machine learning, and statistics rely on the fact that a signal of interest admits a sparse representation over some dictionary. Dictionaries are either available analytically, or can be learned from a…

Computer Vision and Pattern Recognition · Computer Science 2013-03-22 Simon Hawe , Matthias Seibert , Martin Kleinsteuber

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 task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

Machine Learning · Statistics 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

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

A common assumption in causal inference from observational data is that there is no hidden confounding. Yet it is, in general, impossible to verify this assumption from a single dataset. Under the assumption of independent causal mechanisms…

Methodology · Statistics 2023-11-07 Rickard K. A. Karlsson , Jesse H. Krijthe

Causal disentanglement aims to learn about latent causal factors behind data, holding the promise to augment existing representation learning methods in terms of interpretability and extrapolation. Recent advances establish identifiability…

Machine Learning · Computer Science 2024-12-25 Ryan Welch , Jiaqi Zhang , Caroline Uhler

Learning disentangled representations that correspond to factors of variation in real-world data is critical to interpretable and human-controllable machine learning. Recently, concerns about the viability of learning disentangled…

Machine Learning · Computer Science 2020-04-14 Rui Shu , Yining Chen , Abhishek Kumar , Stefano Ermon , Ben Poole

When people share the same documents and observations yet reach different conclusions, the disagreement often shifts into a judgment that the other party is cognitively defective, irrational, or acting in bad faith. This paper argues that…

Artificial Intelligence · Computer Science 2026-05-13 Toru Takahashi

Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be…

Machine Learning · Statistics 2025-06-02 Stas Syrota , Yevgen Zainchkovskyy , Johnny Xi , Benjamin Bloem-Reddy , Søren Hauberg

Linear system identification and sparse dictionary learning can both be seen as structured matrix factorization problems. However, these two problems have historically been studied in isolation by the systems theory and machine learning…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Kyle Poe , Uday Kiran Reddy Tadipatri , Benjamin D. Haeffele , Rene Vidal

Causal disentanglement aims to uncover a representation of data using latent variables that are interrelated through a causal model. Such a representation is identifiable if the latent model that explains the data is unique. In this paper,…

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal discovery can help inferring properties of the `unobserved joint distributions'…

Machine Learning · Statistics 2023-05-12 Dominik Janzing , Philipp M. Faller , Leena Chennuru Vankadara

There has been much recent, exciting work on combining the complementary strengths of latent variable models and deep learning. Latent variable modeling makes it easy to explicitly specify model constraints through conditional independence…

Computation and Language · Computer Science 2019-08-06 Yoon Kim , Sam Wiseman , Alexander M. Rush

We introduce a conditional generative model for learning to disentangle the hidden factors of variation within a set of labeled observations, and separate them into complementary codes. One code summarizes the specified factors of variation…

Machine Learning · Computer Science 2016-11-11 Michael Mathieu , Junbo Zhao , Pablo Sprechmann , Aditya Ramesh , Yann LeCun
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