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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

A key goal of unsupervised representation learning is "inverting" a data generating process to recover its latent properties. Existing work that provably achieves this goal relies on strong assumptions on relationships between the latent…

Machine Learning · Computer Science 2021-11-01 Kartik Ahuja , Jason Hartford , Yoshua Bengio

We develop a generalisation of disentanglement in VAEs---decomposition of the latent representation---characterising it as the fulfilment of two factors: a) the latent encodings of the data having an appropriate level of overlap, and b) the…

Machine Learning · Statistics 2019-06-13 Emile Mathieu , Tom Rainforth , N. Siddharth , Yee Whye Teh

In many data analysis tasks, it is beneficial to learn representations where each dimension is statistically independent and thus disentangled from the others. If data generating factors are also statistically independent, disentangled…

Machine Learning · Statistics 2019-12-12 Harshvardhan Sikka , Weishun Zhong , Jun Yin , Cengiz Pehlevan

Constructing disentangled representations is known to be a difficult task, especially in the unsupervised scenario. The dominating paradigm of unsupervised disentanglement is currently to train a generative model that separates different…

Machine Learning · Computer Science 2021-02-12 Valentin Khrulkov , Leyla Mirvakhabova , Ivan Oseledets , Artem Babenko

Learning disentangled causal representations is a challenging problem that has gained significant attention recently due to its implications for extracting meaningful information for downstream tasks. In this work, we define a new notion of…

Machine Learning · Computer Science 2024-08-27 Aneesh Komanduri , Yongkai Wu , Feng Chen , Xintao Wu

In this study, Disentanglement in Difference(DiD) is proposed to address the inherent inconsistency between the statistical independence of latent variables and the goal of semantic disentanglement in disentanglement representation…

Machine Learning · Computer Science 2025-04-04 Xingshen Zhang , Lin Wang , Shuangrong Liu , Xintao Lu , Chaoran Pang , Bo Yang

Correlations between factors of variation are prevalent in real-world data. Exploiting such correlations may increase predictive performance on noisy data; however, often correlations are not robust (e.g., they may change between domains,…

Machine Learning · Computer Science 2022-12-26 Christina M. Funke , Paul Vicol , Kuan-Chieh Wang , Matthias Kümmerer , Richard Zemel , Matthias Bethge

We describe a method to train a generative model with latent factors that are (approximately) independent and localized. This means that perturbing the latent variables affects only local regions of the synthesized image, corresponding to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Yanchao Yang , Yutong Chen , Stefano Soatto

Extracting structured representations from raw visual data is an important and long-standing challenge in machine learning. Recently, techniques for unsupervised learning of object-centric representations have raised growing interest. In…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Riccardo Majellaro , Jonathan Collu , Aske Plaat , Thomas M. Moerland

In this paper, we interpret disentanglement as the discovery of local charts of the data manifold and trace how this definition naturally leads to an equivalent condition for disentanglement: commutativity between factors of variation. We…

Machine Learning · Statistics 2023-12-19 Frank Qiu

How can intelligent agents solve a diverse set of tasks in a data-efficient manner? The disentangled representation learning approach posits that such an agent would benefit from separating out (disentangling) the underlying structure of…

Machine Learning · Computer Science 2018-12-07 Irina Higgins , David Amos , David Pfau , Sebastien Racaniere , Loic Matthey , Danilo Rezende , Alexander Lerchner

Current autoencoder-based disentangled representation learning methods achieve disentanglement by penalizing the (aggregate) posterior to encourage statistical independence of the latent factors. This approach introduces a trade-off between…

Independent component analysis provides a principled framework for unsupervised representation learning, with solid theory on the identifiability of the latent code that generated the data, given only observations of mixtures thereof.…

Machine Learning · Statistics 2022-02-10 Luigi Gresele , Julius von Kügelgen , Vincent Stimper , Bernhard Schölkopf , Michel Besserve

It has been postulated that a good representation is one that disentangles the underlying explanatory factors of variation. However, it remains an open question what kind of training framework could potentially achieve that. Whereas most…

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

Symmetry-based disentangled representation learning leverages the group structure of environment transformations to uncover the latent factors of variation. Prior approaches to symmetry-based disentanglement have required strong prior…

Machine Learning · Computer Science 2026-05-27 Barthélémy Dang-Nhu , Louis Annabi , Sylvain Argentieri

In the context of MDPs with high-dimensional states, downstream tasks are predominantly applied on a compressed, low-dimensional representation of the original input space. A variety of learning objectives have therefore been used to attain…

Machine Learning · Computer Science 2024-01-04 Jacob E. Kooi , Mark Hoogendoorn , Vincent François-Lavet

Here we propose a novel model family with the objective of learning to disentangle the factors of variation in data. Our approach is based on the spike-and-slab restricted Boltzmann machine which we generalize to include higher-order…

Machine Learning · Statistics 2012-10-22 Guillaume Desjardins , Aaron Courville , Yoshua Bengio

Recent theoretical work established the unsupervised identifiability of quantized factors under any diffeomorphism. The theory assumes that quantization thresholds correspond to axis-aligned discontinuities in the probability density of the…

Machine Learning · Computer Science 2025-11-27 Vitoria Barin-Pacela , Kartik Ahuja , Simon Lacoste-Julien , Pascal Vincent