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The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to…

Quantum Physics · Physics 2026-02-10 Eyal Buks

The ability of learning disentangled representations represents a major step for interpretable NLP systems as it allows latent linguistic features to be controlled. Most approaches to disentanglement rely on continuous variables, both for…

Computation and Language · Computer Science 2021-09-16 Giangiacomo Mercatali , André Freitas

The recently introduced weakly disentangled representations proposed to relax some constraints of the previous definitions of disentanglement, in exchange for more flexibility. However, at the moment, weak disentanglement can only be…

Machine Learning · Computer Science 2022-09-13 Andrea Valenti , Davide Bacciu

Learning disentangled representations is regarded as a fundamental task for improving the generalization, robustness, and interpretability of generative models. However, measuring disentanglement has been challenging and inconsistent, often…

Machine Learning · Statistics 2021-03-19 Sharon Zhou , Eric Zelikman , Fred Lu , Andrew Y. Ng , Gunnar Carlsson , Stefano Ermon

We establish a general theory for subsampling network data generated by the sparse graphon model. In contrast to previous work for networks, we demonstrate validity under minimal assumptions; the main requirement is weak convergence of the…

Statistics Theory · Mathematics 2019-08-27 Robert Lunde , Purnamrita Sarkar

Causality plays an important role in understanding intelligent behavior, and there is a wealth of literature on mathematical models for causality, most of which is focused on causal graphs. Causal graphs are a powerful tool for a wide range…

Artificial Intelligence · Computer Science 2024-12-23 Scott Garrabrant , Matthias Georg Mayer , Magdalena Wache , Leon Lang , Sam Eisenstat , Holger Dell

Many problems in robotics involve both continuous and discrete components, and modeling them together for estimation tasks has been a long standing and difficult problem. Hybrid Factor Graphs give us a mathematical framework to model these…

Robotics · Computer Science 2026-05-04 Varun Agrawal , Frank Dellaert

Graphs arising in statistical problems, signal processing, large networks, combinatorial optimization, and data analysis are often dense, which causes both computational and storage bottlenecks. One way of \textit{sparsifying} a…

Numerical Analysis · Mathematics 2023-04-27 Neophytos Charalambides , Alfred O. Hero

Deep generative models come with the promise to learn an explainable representation for visual objects that allows image sampling, synthesis, and selective modification. The main challenge is to learn to properly model the independent…

Computer Vision and Pattern Recognition · Computer Science 2019-10-24 Patrick Esser , Johannes Haux , Björn Ommer

Despite the significant recent progress in deep generative models, the underlying structure of their latent spaces is still poorly understood, thereby making the task of performing semantically meaningful latent traversals an open research…

Machine Learning · Computer Science 2023-07-04 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

With the emergence of data marketplaces, the demand for methods to assess the value of data has increased significantly. While numerous techniques have been proposed for this purpose, none have specifically addressed graphs as the main data…

Machine Learning · Computer Science 2024-08-26 Ali Falahati , Mohammad Mohammadi Amiri

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a…

Methodology · Statistics 2010-08-13 Stefan Haufe , Guido Nolte , Klaus-Robert Mueller , Nicole Kraemer

Foundation models for structured time series data must contend with a fundamental challenge: observations often conflate the true underlying physical phenomena with systematic distortions introduced by measurement instruments. This…

Machine Learning · Computer Science 2025-07-09 Jeroen Audenaert , Daniel Muthukrishna , Paul F. Gregory , David W. Hogg , V. Ashley Villar

In the problem of learning disentangled representations, one of the promising methods is to factorize aggregated posterior by penalizing the total correlation of sampled latent variables. However, this well-motivated strategy has a blind…

Machine Learning · Statistics 2021-05-11 Ze Cheng , Juncheng Li , Chenxu Wang , Jixuan Gu , Hao Xu , Xinjian Li , Florian Metze

Graph representation of objects and their relations in a scene, known as a scene graph, provides a precise and discernible interface to manipulate a scene by modifying the nodes or the edges in the graph. Although existing works have shown…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Azade Farshad , Yousef Yeganeh , Helisa Dhamo , Federico Tombari , Nassir Navab

This paper presents a novel theoretical framework for understanding how diffusion models can learn disentangled representations. Within this framework, we establish identifiability conditions for general disentangled latent variable models,…

A grand goal in deep learning research is to learn representations capable of generalizing across distribution shifts. Disentanglement is one promising direction aimed at aligning a model's representation with the underlying factors…

Machine Learning · Computer Science 2023-02-28 Karsten Roth , Mark Ibrahim , Zeynep Akata , Pascal Vincent , Diane Bouchacourt

Machine learning systems produce biased results towards certain demographic groups, known as the fairness problem. Recent approaches to tackle this problem learn a latent code (i.e., representation) through disentangled representation…

Machine Learning · Computer Science 2023-09-06 Jindi Zhang , Luning Wang , Dan Su , Yongxiang Huang , Caleb Chen Cao , Lei Chen

Uncertainty principles present an important theoretical tool in signal processing, as they provide limits on the time-frequency concentration of a signal. In many real-world applications the signal domain has a complicated irregular…

Information Theory · Computer Science 2023-06-29 Elizaveta Rebrova , Palina Salanevich

The problem of structure estimation in graphical models with latent variables is considered. We characterize conditions for tractable graph estimation and develop efficient methods with provable guarantees. We consider models where the…

Machine Learning · Statistics 2013-04-23 Animashree Anandkumar , Ragupathyraj Valluvan
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