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We propose a novel VAE-based deep auto-encoder model that can learn disentangled latent representations in a fully unsupervised manner, endowed with the ability to identify all meaningful sources of variation and their cardinality. Our…

Machine Learning · Computer Science 2019-02-06 Minyoung Kim , Yuting Wang , Pritish Sahu , Vladimir Pavlovic

Learning disentangled representations is considered a cornerstone problem in representation learning. Recently, Locatello et al. (2019) demonstrated that unsupervised disentanglement learning without inductive biases is theoretically…

Machine Learning · Computer Science 2020-02-17 Francesco Locatello , Michael Tschannen , Stefan Bauer , Gunnar Rätsch , Bernhard Schölkopf , Olivier Bachem

Encoding only the task-related information from the raw data, \ie, disentangled representation learning, can greatly contribute to the robustness and generalizability of models. Although significant advances have been made by regularizing…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Zhuohang Dang , Minnan Luo , Chengyou Jia , Guang Dai , Jihong Wang , Xiaojun Chang , Jingdong Wang

Recently there has been a significant interest in learning disentangled representations, as they promise increased interpretability, generalization to unseen scenarios and faster learning on downstream tasks. In this paper, we investigate…

Machine Learning · Computer Science 2019-10-30 Francesco Locatello , Gabriele Abbati , Tom Rainforth , Stefan Bauer , Bernhard Schölkopf , Olivier Bachem

Disentangled representation learning aims to capture the underlying explanatory factors of observed data, enabling a principled understanding of the data-generating process. Recent advances in generative modeling have introduced new…

Machine Learning · Computer Science 2026-05-12 Jinjin Chi , Taoping Liu , Mengtao Yin , Ximing Li , Yongcheng Jing , Jialie Shen , Leszek Rutkowski , Dacheng Tao

The idea behind the \emph{unsupervised} learning of \emph{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…

Machine Learning · Computer Science 2020-10-29 Francesco Locatello , Stefan Bauer , Mario Lucic , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf , Olivier Bachem

Negation and uncertainty modeling are long-standing tasks in natural language processing. Linguistic theory postulates that expressions of negation and uncertainty are semantically independent from each other and the content they modify.…

Computation and Language · Computer Science 2022-04-04 Jake Vasilakes , Chrysoula Zerva , Makoto Miwa , Sophia Ananiadou

Intelligent agents should be able to learn useful representations by observing changes in their environment. We model such observations as pairs of non-i.i.d. images sharing at least one of the underlying factors of variation. First, we…

Machine Learning · Computer Science 2020-10-21 Francesco Locatello , Ben Poole , Gunnar Rätsch , Bernhard Schölkopf , Olivier Bachem , Michael Tschannen

We introduce a family of reversible fragmentating-coagulating processes of particles of varying size-scaled diffusivity with strictly local interaction on the real line as mathematically rigorous description of colloidal motion of fluids.…

Probability · Mathematics 2022-09-21 Vitalii Konarovskyi , Max von Renesse

In representation learning and non-linear dimension reduction, there is a huge interest to learn the 'disentangled' latent variables, where each sub-coordinate almost uniquely controls a facet of the observed data. While many regularization…

Machine Learning · Statistics 2019-09-09 Yue Bai , Leo L. Duan

Disentangled representations seek to recover latent factors of variation underlying observed data, yet their identifiability is still not fully understood. We introduce a unified framework in which disentanglement is achieved through…

Machine Learning · Computer Science 2026-05-12 Stefan Matthes , Zhiwei Han , Hao Shen

Disentangled representations enable models to separate factors of variation that are shared across experimental conditions from those that are condition-specific. This separation is essential in domains such as biomedical data analysis,…

Machine Learning · Computer Science 2025-12-16 Yuli Slavutsky , Ozgur Beker , David Blei , Bianca Dumitrascu

Wasserstein distances are increasingly used in a wide variety of applications in machine learning. Sliced Wasserstein distances form an important subclass which may be estimated efficiently through one-dimensional sorting operations. In…

Machine Learning · Statistics 2019-04-08 Mark Rowland , Jiri Hron , Yunhao Tang , Krzysztof Choromanski , Tamas Sarlos , Adrian Weller

The goal of the unsupervised learning of disentangled representations is to separate the independent explanatory factors of variation in the data without access to supervision. In this paper, we summarize the results of Locatello et al.,…

Machine Learning · Computer Science 2020-07-29 Francesco Locatello , Stefan Bauer , Mario Lucic , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf , Olivier Bachem

We propose a novel contrastive learning framework to effectively address the challenges of data heterogeneity in federated learning. We first analyze the inconsistency of gradient updates across clients during local training and establish…

Machine Learning · Computer Science 2024-06-03 Seonguk Seo , Jinkyu Kim , Geeho Kim , Bohyung Han

Disentangled representations have recently been shown to improve fairness, data efficiency and generalisation in simple supervised and reinforcement learning tasks. To extend the benefits of disentangled representations to more complex…

Existing methods for multi-modal time series representation learning aim to disentangle the modality-shared and modality-specific latent variables. Although achieving notable performances on downstream tasks, they usually assume an…

Machine Learning · Computer Science 2024-05-28 Ruichu Cai , Zhifang Jiang , Zijian Li , Weilin Chen , Xuexin Chen , Zhifeng Hao , Yifan Shen , Guangyi Chen , Kun Zhang

The analysis of samples of random objects that do not lie in a vector space is gaining increasing attention in statistics. An important class of such object data is univariate probability measures defined on the real line. Adopting the…

Methodology · Statistics 2021-07-07 Yaqing Chen , Zhenhua Lin , Hans-Georg Müller

Selecting an appropriate divergence measure is a critical aspect of machine learning, as it directly impacts model performance. Among the most widely used, we find the Kullback-Leibler (KL) divergence, originally introduced in kinetic…

Mathematical Physics · Physics 2025-07-16 Gennaro Auricchio , Giovanni Brigati , Paolo Giudici , Giuseppe Toscani

Measuring dependence between random variables is a fundamental problem in Statistics, with applications across diverse fields. While classical measures such as Pearson's correlation have been widely used for over a century, they have…

Statistics Theory · Mathematics 2025-10-08 Marta Catalano , Hugo Lavenant
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